New Syllabus For 1st & 2nd Semester (All Branches) | AKU Btech Bihar

 CURRICULUM  FOR  UNDERGRADUATE DEGREE COURSES IN ENGINEERING & TECHNOLOGY (Based on AICTE Model Curriculum 2018) EFFECTIVE FROM ACADEMIC YEAR 2018-2019


CURRICULUM CONTENTS 

Messages i Preface ii Acknowledgement iii Curriculum for First Year Undergraduate Degree Courses in Engineering & Technology 01 

Curriculum for Civil Engineering 02 Curriculum for Mechanical Engineering and Leather Technology & Engineering 10 Curriculum for Computer Science & Engineering and Information Technology & Engineering 17 Curriculum for EE, EEE and EC Engineering 25 Curriculum for Common Paper (All Branches) 31 Credit Table for First Year Undergraduate Degree Courses in Engineering & Technology 47 Credit Table for Civil Engineering 48 Credit Table for Mechanical Engineering 50 Credit Table for Electrical Engineering 52 Credit Table for Electronics and Communication Engineering 54 Credit Table for Computer Science & Engineering 56 Credit Table for Information Technology & Engineering 58 Credit Table for Leather Technology & Engineering 60 Credit Table for Electrical and Electronics Engineering 62

CURRICULUM FOR FIRST YEAR 

UNDERGRADUATE DEGREE COURSES IN ENGINEERING &TECHNOLOGY

GROUP A 

101 - CIVIL ENGINEERING 

102 - MECHANICAL ENGINEERING 

106 - INFORMATION TECHNOLOGY & ENGINEERING 107 - LEATHER TECHNOLOGY & ENGINEERING 

GROUP B  

103 - ELECTRICAL ENGINEERING 

104 - ELECTRONICS AND COMMUNICATION ENGINEERING 105 - COMPUTER SCIENCE & ENGINEERING 

110 - ELECTRICAL AND ELECTRONICS ENGINEERING ──── ──── ────

1 | P a g e B A C K 

[AKU-PATNA] [101 - CE] 

CURRICULUM 

FOR 

CIVIL ENGINEERING 

SEMESTER – I 

Sl.  

No.

Paper  

Code 

Paper Title 

Credits

101101 

Physics (Mechanics & Mechanics of Solids) 

5.5

101102 

Mathematics –I ( Calculus, Multivariable Calculus and  Linear Algebra ) 

4

100101 

Basic Electrical Engineering 

5

100102 

Engineering Graphics & Design 

3



SEMESTER – II 

Sl.  

No.

Paper  

Code 

Paper Title 

Credits

100203 

Chemistry 

5.5

101202 

Mathematics –II (Differential Equations) 

4

100204 

Programming for Problem Solving 

5

100205 

Workshop Manufacturing Practices 

3

100206 

English 

3



DEFINITION OF CREDIT

Hour 

Component 

Credit

Lecture (L) per week 

1

Tutorial (T) per week 

1

Practical (P) per week 

0.5



2 | P a g e B A C K 

[AKU-PATNA] [101 - CE] 

PAPER CODE - 101101 

BSC 

PHYSICS (MECHANICS & MECHANICS  OF SOLIDS) 

L:3 

T:1 

P:3 

CREDIT:5.5



MECHANICS 

PRE-REQUISITES: HIGH-SCHOOL EDUCATION 

MODULE 1: VECTOR MECHANICS OF PARTICLES (20 LECTURES) 

TRANSFORMATION OF SCALARS AND VECTORS UNDER ROTATION TRANSFORMATION;  FORCES IN NATURE; NEWTON’S LAWS AND ITS COMPLETENESS IN DESCRIBING PARTICLE  MOTION; FORM INVARIANCE OF NEWTON’S SECOND LAW; SOLVING NEWTON’S EQUATIONS OF  MOTION IN POLAR COORDINATES; PROBLEMS INCLUDING CONSTRAINTS AND FRICTION;  EXTENSION TO CYLINDRICAL AND SPHERICAL COORDINATES; POTENTIAL ENERGY FUNCTION;  F = - GRAD V, EQUIPOTENTIAL SURFACES AND MEANING OF GRADIENT; CONSERVATIVE AND  NON-CONSERVATIVE FORCES, CURL OF A FORCE FIELD; CENTRAL FORCES; CONSERVATION OF  ANGULAR MOMENTUM; ENERGY EQUATION AND ENERGY DIAGRAMS; ELLIPTICAL, PARABOLIC  AND HYPERBOLIC ORBITS; KEPLER PROBLEM; APPLICATION: SATELLITE MANOEUVRES; NON 

INERTIAL FRAMES OF REFERENCE; ROTATING COORDINATE SYSTEM: FIVE-TERM  ACCELERATION FORMULA. CENTRIPETAL AND CORIOLIS ACCELERATIONS; APPLICATIONS:  WEATHER SYSTEMS, FOUCAULT PENDULUM; HARMONIC OSCILLATOR; DAMPED HARMONIC MOTION  – OVER-DAMPED, CRITICALLY DAMPED AND LIGHTLY-DAMPED OSCILLATORS; FORCED  OSCILLATIONS AND RESONANCE. 

MODULE 2: PLANAR RIGID BODY MECHANICS (10 LECTURES 

DEFINITION AND MOTION OF A RIGID BODY IN THE PLANE; ROTATION IN THE PLANE;  KINEMATICS IN A COORDINATE SYSTEM ROTATING AND TRANSLATING IN THE PLANE; ANGULAR MOMENTUM ABOUT A POINT OF A RIGID BODY IN PLANAR MOTION; EULER’S LAWS OF MOTION,  THEIR INDEPENDENCE FROM NEWTON’S LAWS, AND THEIR NECESSITY IN DESCRIBING RIGID  BODY MOTION; EXAMPLES. INTRODUCTION TO THREE-DIMENSIONAL RIGID BODY MOTION — ONLY NEED TO HIGHLIGHT THE DISTINCTION FROM TWO-DIMENSIONAL MOTION IN TERMS OF  (A) ANGULAR VELOCITY VECTOR, AND ITS RATE OF CHANGE AND (B) MOMENT OF INERTIA  TENSOR; THREE-DIMENSIONAL MOTION OF A RIGID BODY WHEREIN ALL POINTS MOVE IN A  COPLANAR MANNER: E.G. ROD EXECUTING CONICAL MOTION WITHCENTER OF MASS FIXED — ONLY NEED TO SHOW THAT THIS MOTION LOOKS TWO-DIMENSIONAL BUT IS THREE DIMENSIONAL, AND TWO-DIMENSIONAL FORMULATION FAILS. 

SUGGESTED REFERENCE BOOKS 

🕮 ENGINEERING MECHANICS, 2ND ED. — MK HARBOLA 

🕮 INTRODUCTION TO MECHANICS — MK VERMA 

🕮 AN INTRODUCTION TO MECHANICS — D KLEPPNER& R KOLENKOW 

🕮 PRINCIPLES OF MECHANICS — JL SYNGE & BA GRIFFITHS 

🕮 MECHANICS — JP DEN HARTOG 

🕮 ENGINEERING MECHANICS - DYNAMICS, 7TH ED. - JL MERIAM

3 | P a g e B A C K 

[AKU-PATNA] [101 - CE] 

🕮 MECHANICAL VIBRATIONS — JP DEN HARTOG 

🕮 THEORY OF VIBRATIONS WITH APPLICATIONS — WT THOMSON 

MECHANICS OF SOLIDS 

PREREQUISITES: (I) PHYSICS (MECHANICS) ALL MODULES AND (II) MATHEMATICS COURSE  WITH ORDINARY DIERENTIAL EQUATIONS 

MODULE 3: STATICS (10 LECTURES) 

FREE BODY DIAGRAMS WITH EXAMPLES ON MODELLING OF TYPICAL SUPPORTS AND  JOINTS; CONDITION FOR EQUILIBRIUM IN THREE- AND TWO- DIMENSIONS; FRICTION:  LIMITING AND NON-LIMITING CASES; FORCEDISPLACEMENT RELATIONSHIP; GEOMETRIC  COMPATIBILITY FOR SMALL DEFORMATIONS; ILLUSTRATIONS THROUGH SIMPLE PROBLEMS ON  AXIALLY LOADED MEMBERS LIKE TRUSSES. 

MODULE 4: MECHANICS OF SOLIDS (30 LECTURES) 

CONCEPT OF STRESS AT A POINT; PLANET STRESS: TRANSFORMATION OF STRESSES  AT A POINT, PRINCIPAL STRESSES AND MOHR’S CIRCLE; DISPLACEMENT FIELD; CONCEPT  OF STRAIN AT A POINT; PLANE STRAIN: TRANSFORMATION OF STRAIN AT A POINT,  PRINCIPAL STRAINS AND MOHR’S CIRCLE; STRAIN ROSEOE; DISCUSSION OF EXPERIMENTAL  RESULTS ON ONE- DIMENSIONAL MATERIAL BEHAVIOUR; CONCEPTS OF ELASTICITY,  PLASTICITY, STRAIN HARDENING, FAILURE (FRACTURE / YIELDING); IDEALIZATION OF  ONEDIMENSIONAL STRESS-STRAIN CURVE; GENERALIZED HOOKE’S LAW WITH AND WITHOUT  THERMAL STRAINS FOR ISOTROPIC MATERIALS; COMPLETE EQUATIONS OF ELASTICITY; FORCE  ANALYSIS — AXIAL FORCE, SHEAR FORCE, BENDING MOMENT AND TWISTING MOMENT DIAGRAMS  OF SLENDER MEMBERS (WITHOUT USING SINGULARITY FUNCTIONS); TORSION OF CIRCULAR  SHAFTS AND THIN-WALLED TUBES (PLASTIC ANALYSIS AND RECTANGULAR SHAFTS NOT TO BE  DISCUSSED); MOMENT CURVATURE RELATIONSHIP FOR PURE BENDING OF BEAMS WITH  SYMMETRIC CROSS-SECTION; BENDING STRESS; SHEAR STRESS; CASES OF COMBINED 

STRESSES; CONCEPT OF STRAIN ENERGY; YIELD CRITERIA; DEFLECTION DUE TO BENDING;  INTEGRATION OF THE MOMENT-CURVATURE RELATIONSHIP FOR SIMPLE BOUNDARY  CONDITIONS; METHOD OF SUPERPOSITION (WITHOUT USING SINGULARITY FUNCTIONS);  STRAIN ENERGY AND COMPLEMENTARY STRAIN ENERGY FOR SIMPLE STRUCTURAL ELEMENTS  (I.E. THOSE UNDER AXIAL LOAD, SHEAR FORCE, BENDING MOMENT AND TORSION);  CASTIGLIANO’S THEOREMS FOR DEFLECTION ANALYSIS AND INDETERMINATE PROBLEMS. 

REFERENCE BOOKS: 

🕮 AN INTRODUCTION TO THE MECHANICS OF SOLIDS, 2ND ED. WITH SI UNITS — SH  CRANDALL, NC DAHL & TJ LARDNER 

🕮 ENGINEERING MECHANICS: STATICS, 7TH ED. — JL MERIAM 

🕮 ENGINEERING MECHANICS OF SOLIDS — EP POPOV 

LABORATORY 

COUPLED OSCILLATORS; EXPERIMENTS ON AN AIR-TRACK 

EXPERIMENT ON MOMENT OF INERTIA MEASUREMENT 

EXPERIMENTS WITH GYROSCOPE; RESONANCE PHENOMENA IN MECHANICAL OSCILLATORS. ──── ──── ────

4 | P a g e B A C K 

[AKU-PATNA] [101 - CE] 

PAPER CODE - 101102 

BSC 

MATHEMATICS –I ( CALCULUS, MULTIVARIABLE  CALCULUS AND LINEAR ALGEBRA )

L:3 

T:1 

P:0 

CREDIT:4



CALCULUS (SINGLE VARIBALE) 

MODULE 1A: CALCULUS: (12 LECTURES) 

INTERVALS, CONVERGENCE OF SEQUENCES AND SERIES OF REAL NUMBERS, LIMIT AND  CONTINUITY OF FUNCTIONS, DIFFERENTIABILITY OF FUNCTIONS, ROLLE’S THEOREM, MEAN  VALUE THEOREMS, TAYLOR’S AND MACLAURIN THEOREMS WITH REMAINDERS; INDETERMINATE  FORMS AND L'HOSPITAL'S RULE; MAXIMA AND MINIMA, RIEMANN INTEGRATION, FUNDAMENTAL 

THEOREM OF CALCULUS. 

MODULE 1B: CALCULUS: (8 LECTURES) 

EVOLUTES AND INVOLUTES; EVALUATION OF DEFINITE AND IMPROPER INTEGRALS;  BETA AND GAMMA FUNCTIONS AND THEIR PROPERTIES; APPLICATIONS OF DEFINITE  INTEGRALS TO EVALUATE SURFACE AREAS AND VOLUMES OF REVOLUTIONS. 

MODULE 1C: SERIES: (PREREQUISITE 2B) (8 LECTURES) 

POWER SERIES, TAYLOR'S SERIES. SERIES FOR EXPONENTIAL, TRIGONOMETRIC AND  LOGARITHMIC FUNCTIONS; FOURIER SERIES: HALF RANGE SINE AND COSINE SERIES,  PARSEVAL’S THEOREM 

TEXTBOOKS/REFERENCES: 

🕮 G.B. THOMAS AND R.L. FINNEY, CALCULUS AND ANALYTIC GEOMETRY, 9TH  EDITION, PEARSON, REPRINT, 2002. 

🕮 VEERARAJAN T., ENGINEERING MATHEMATICS FOR FIRST YEAR, TATA MCGRAW HILL, NEW DELHI, 2008. 

🕮 RAMANA B.V., HIGHER ENGINEERING MATHEMATICS, TATA MCGRAW HILL NEW  DELHI, 11TH REPRINT, 2010. 

🕮 N.P. BALI AND MANISH GOYAL, A TEXT BOOK OF ENGINEERING  MATHEMATICS, LAXMI PUBLICATIONS,REPRINT, 2010. 

🕮 B.S. GREWAL, HIGHER ENGINEERING MATHEMATICS, KHANNA PUBLISHERS, 35TH  EDITION, 2000. 

MATRICES AND LINEAR ALGEBRA 

MODULE 2A: MATRICES (IN CASE VECTOR SPACES IS NOT TO BE TAUGHT) (14 LECTURES) 

ALGEBRA OF MATRICES, INVERSE AND RANK OF A MATRIX, RANK-NULLITY THEOREM;  SYSTEM OF LINEAR EQUATIONS; SYMMETRIC, SKEW-SYMMETRIC AND ORTHOGONAL MATRICES;  DETERMINANTS; EIGENVALUES AND EIGENVECTORS; DIAGONALIZATION OF MATRICES;  CAYLEY-HAMILTON THEOREM, ORTHOGONAL TRANSFORMATION AND QUADRATIC TO CANONICAL  FORMS. 

MODULE 2B: MATRICES (IN CASE VECTOR SPACES IS TO BE TAUGHT) (8 LECTURES)

5 | P a g e B A C K 

[AKU-PATNA] [101 - CE] 

MATRICES, VECTORS: ADDITION AND SCALAR MULTIPLICATION, MATRIX  MULTIPLICATION; LINEAR SYSTEMS OF EQUATIONS, LINEAR INDEPENDENCE, RANK OF A  MATRIX, DETERMINANTS, CRAMER’S RULE, INVERSE OF A MATRIX, GAUSS ELIMINATION AND  GAUSS-JORDAN ELIMINATION. 

MODULE 2C: VECTOR SPACES (PREREQUISITE 4B) (10 LECTURES) 

VECTOR SPACE, LINEAR DEPENDENCE OF VECTORS, BASIS, DIMENSION; LINEAR  TRANSFORMATIONS (MAPS), RANGE AND KERNEL OF A LINEAR MAP, RANK AND NULLITY,  INVERSE OF A LINEAR TRANSFORMATION, RANK- NULLITY THEOREM, COMPOSITION OF LINEAR  MAPS, MATRIX ASSOCIATED WITH A LINEAR MAP.  

MODULE 2D: VECTOR SPACES (PREREQUISITE 4B-C) (10 LECTURES) 

EIGENVALUES, EIGENVECTORS, SYMMETRIC, SKEW-SYMMETRIC AND ORTHOGONAL  MATRICES, EIGENBASES. DIAGONALIZATION; INNER PRODUCT SPACES, GRAM-SCHMIDT  ORTHOGONALIZATION. 

TEXTBOOKS/REFERENCES: 

🕮 D. POOLE, LINEAR ALGEBRA: A MODERN INTRODUCTION, 2ND EDITION, BROOKS/COLE,  2005. 

🕮 V. KRISHNAMURTHY, V.P. MAINRA AND J.L. ARORA, AN INTRODUCTION TO LINEAR  ALGEBRA, AFFILIATED EAST–WEST PRESS, REPRINT 2005. 

🕮 ERWIN KREYSZIG, ADVANCED ENGINEERING MATHEMATICS, 9TH EDITION, JOHN WILEY  & SONS, 2006. 

🕮 VEERARAJAN T., ENGINEERING MATHEMATICS FOR FIRST YEAR, TATA MCGRAW-HILL,  NEW DELHI, 2008. 

🕮 N.P. BALI AND MANISH GOYAL, A TEXT BOOK OF ENGINEERING MATHEMATICS,  LAXMI PUBLICATIONS, REPRINT, 2010. 

🕮 B.S. GREWAL, HIGHER ENGINEERING MATHEMATICS, KHANNA PUBLISHERS, 35TH  EDITION, 2000 

──── ──── ────

6 | P a g e B A C K 

[AKU-PATNA] [101 - CE] 

PAPER CODE - 101202 

BSC 

MATHEMATICS –II (DIFFERENTIAL  EQUATIONS) 

L:3 

T:1 

P:0 

CREDIT:4



ORDINARY DIFFERENTIAL EQUATIONS 

MODULE 3A: FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS (6 LECTURES) 

EXACT, LINEAR AND BERNOULLI’S EQUATIONS, EULER’S EQUATIONS, EQUATIONS NOT  OF FIRST DEGREE: EQUATIONS SOLVABLE FOR P, EQUATIONS SOLVABLE FOR Y, EQUATIONS  SOLVABLE FOR X AND CLAIRAUT’S TYPE. 

MODULE 3B: ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER ORDERS (8 LECTURES) 

SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS,  METHOD OF VARIATION OF PARAMETERS, CAUCHY-EULER EQUATION; POWER SERIES  SOLUTIONS; LEGENDRE POLYNOMIALS, BESSEL FUNCTIONS OF THE FIRST KIND AND THEIR  PROPERTIES. 

TEXTBOOKS/REFERENCES: 

🕮 ERWIN KREYSZIG, ADVANCED ENGINEERING MATHEMATICS, 9TH EDITION, JOHN WILEY  & SONS, 2006. 

🕮 W. E. BOYCE AND R. C. DIPRIMA, ELEMENTARY DIFFERENTIAL EQUATIONS AND  BOUNDARY VALUE PROBLEMS, 9TH EDITION, WILEY INDIA, 2009. 

🕮 S. L. ROSS, DIFFERENTIAL EQUATIONS, 3RD ED., WILEY INDIA, 1984. 🕮 E. A. CODDINGTON, AN INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS, PRENTICE HALL INDIA, 1995. 

🕮 E. L. INCE, ORDINARY DIFFERENTIAL EQUATIONS, DOVER PUBLICATIONS, 1958. 🕮 G.F. SIMMONS AND S.G. KRANTZ, DIFFERENTIAL EQUATIONS, TATA MCGRAW HILL,  2007. 

PARTIAL DIFFERENTIAL EQUATIONS 

MODULE 3C: PARTIAL DIFFERENTIAL EQUATIONS – FIRST ORDER (6 LECTURES) 

FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS, SOLUTIONS OF FIRST ORDER  LINEAR AND NON-LINEAR PDES. 

MODULE 3D: PARTIAL DIFFERENTIAL EQUATIONS – HIGHER ORDER (10 LECTURES) 

SOLUTION TO HOMOGENOUS AND NON-HOMOGENOUS LINEAR PARTIAL DIFFERENTIAL  EQUATIONS SECOND AND HIGHER ORDER BY COMPLIMENTARY FUNCTION AND PARTICULAR  INTEGRAL METHOD. FLOWS, VIBRATIONS AND DIFFUSIONS, SECOND-ORDER LINEAR  EQUATIONS AND THEIR CLASSIFICATION, INITIAL AND BOUNDARY CONDITIONS (WITH AN  INFORMAL DESCRIPTION OF WELL-POSED PROBLEMS), D'ALEMBERT'S SOLUTION OF THE WAVE  EQUATION; DUHAMEL'S PRINCIPLE FOR ONE DIMENSIONAL WAVE EQUATION. SEPARATION OF  VARIABLES METHOD TO SIMPLE PROBLEMS IN CARTESIAN COORDINATES. THE LAPLACIAN IN  PLANE, CYLINDRICAL AND SPHERICAL POLAR COORDINATES, SOLUTIONS WITH BESSEL 

7 | P a g e B A C K 

[AKU-PATNA] [101 - CE] 

FUNCTIONS AND LEGENDRE FUNCTIONS. ONE DIMENSIONAL DIFFUSION EQUATION AND ITS  SOLUTION BY SEPARATION OF VARIABLES. BOUNDARY-VALUE PROBLEMS: SOLUTION OF  BOUNDARY-VALUE PROBLEMS FOR VARIOUS LINEAR PDES IN VARIOUS GEOMETRIES. 

TEXTBOOKS/REFERENCES: 

🕮 S. J. FARLOW, PARTIAL DIFFERENTIAL EQUATIONS FOR SCIENTISTS AND ENGINEERS,  DOVER PUBLICATIONS, 1993. 

🕮 R. HABERMAN, ELEMENTARY APPLIED PARTIAL DIFFERENTIAL EQUATIONS WITH  FOURIER SERIES 

🕮 AND BOUNDARY VALUE PROBLEM, 4TH ED., PRENTICE HALL, 1998. 

🕮 IAN SNEDDON, ELEMENTS OF PARTIAL DIFFERENTIAL EQUATIONS, MCGRAW HILL,  1964. 

🕮 MANISH GOYAL AND N.P. BALI, TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS,  UNIVERSITY SCIENCE PRESS, SECOND EDITION, 2010. 

COMPLEX VARIABLES  

MODULE 4A: COMPLEX VARIABLE – DIFFERENTIATION (8 LECTURES) 

DIFFERENTIATION, CAUCHY-RIEMANN EQUATIONS, ANALYTIC FUNCTIONS, HARMONIC  FUNCTIONS, FINDING HARMONIC CONJUGATE; ELEMENTARY ANALYTIC FUNCTIONS  (EXPONENTIAL, TRIGONOMETRIC, LOGARITHM) AND THEIR PROPERTIES; CONFORMAL  MAPPINGS, MOBIUS TRANSFORMATIONS AND THEIR PROPERTIES. 

MODULE 4B: COMPLEX VARIABLE - INTEGRATION (8 LECTURES) 

CONTOUR INTEGRALS, CAUCHY-GOURSAT THEOREM (WITHOUT PROOF), CAUCHY  INTEGRAL FORMULA (WITHOUT PROOF), LIOUVILLE’S THEOREM AND MAXIMUM-MODULUS  THEOREM(WITHOUT PROOF); TAYLOR’S SERIES, ZEROS OF ANALYTIC FUNCTIONS,  SINGULARITIES, LAURENT’S SERIES; RESIDUES, CAUCHY RESIDUE THEOREM (WITHOUT  PROOF), EVALUATION OF DEFINITE INTEGRAL INVOLVING SINE AND COSINE, EVALUATION  OF CERTAIN IMPROPER INTEGRALS USING THE BROMWICH CONTOUR. 

MODULE 4C: APPLICATIONS OF COMPLEX INTEGRATION BY RESIDUES: (4 LECTURES) 

EVALUATION OF DEFINITE INTEGRAL INVOLVING SINE AND COSINE. EVALUATION OF  CERTAIN IMPROPER INTEGRALS USING THE BROMWICH CONTOUR. 

TEXTBOOKS/REFERENCES: 

🕮 ERWIN KREYSZIG, ADVANCED ENGINEERING MATHEMATICS, 9TH EDITION, JOHN WILEY  & SONS, 2006. 

🕮 J. W. BROWN AND R. V. CHURCHILL, COMPLEX VARIABLES AND APPLICATIONS, 7TH  ED., MC- GRAW HILL, 2004. 

🕮 VEERARAJAN T., ENGINEERING MATHEMATICS FOR FIRST YEAR, TATA MCGRAW-HILL,  NEW DELHI, 2008. 

🕮 N.P. BALI AND MANISH GOYAL, A TEXT BOOK OF ENGINEERING MATHEMATICS,  LAXMI PUBLICATIONS, REPRINT, 2010. 

🕮 B.S. GREWAL, HIGHER ENGINEERING MATHEMATICS, KHANNA PUBLISHERS, 35TH  EDITION, 2000.

8 | P a g e B A C K 

[AKU-PATNA] [101 - CE] 

NUMERICAL METHODS 

MODULE 5A: NUMERICAL METHODS – 1 (12 LECTURES) 

SOLUTION OF POLYNOMIAL AND TRANSCENDENTAL EQUATIONS – BISECTION METHOD,  NEWTON-RAPHSON METHOD AND REGULA-FALSI METHOD. FINITE DIFFERENCES,  RELATION BETWEEN OPERATORS, INTERPOLATION USING NEWTON’S FORWARD AND BACKWARD  DIFFERENCE FORMULAE. INTERPOLATION WITH UNEQUAL INTERVALS: NEWTON’S DIVIDED  DIFFERENCE AND LAGRANGE’S FORMULAE. NUMERICAL DIFFERENTIATION, NUMERICAL  INTEGRATION: TRAPEZOIDAL RULE AND SIMPSON’S 1/3RD AND 3/8 RULES. 

MODULE 5B: NUMERICAL METHODS – 2 (10 LECTURES) 

ORDINARY DIFFERENTIAL EQUATIONS: TAYLOR’S SERIES, EULER AND MODIFIED  EULER’S METHODS. RUNGE- KUTTA METHOD OF FOURTH ORDER FOR SOLVING FIRST AND  SECOND ORDER EQUATIONS. MILNE’S AND ADAM’S PREDICATOR-CORRECTOR METHODS.  PARTIAL DIFFERENTIAL EQUATIONS: FINITE DIFFERENCE SOLUTION TWO DIMENSIONAL  LAPLACE EQUATION AND POISSION EQUATION, IMPLICIT AND EXPLICIT METHODS FOR ONE  DIMENSIONAL HEAT EQUATION (BENDER-SCHMIDT AND CRANK-NICHOLSON METHODS), FINITE  DIFFERENCE EXPLICIT METHOD FOR WAVE EQUATION. 

TEXTBOOKS/REFERENCES: 

🕮 P. KANDASAMY, K. THILAGAVATHY, K. GUNAVATHI, NUMERICAL METHODS, S. CHAND  & COMPANY, 2ND EDITION, REPRINT 2012. 

🕮 S.S. SASTRY, INTRODUCTORY METHODS OF NUMERICAL ANALYSIS, PHI, 4TH EDITION,  2005. 

🕮 ERWIN KREYSZIG, ADVANCED ENGINEERING MATHEMATICS, 9TH EDITION, JOHN WILEY  & SONS, 2006. 

🕮 B.S. GREWAL, HIGHER ENGINEERING MATHEMATICS, KHANNA PUBLISHERS, 35TH  EDITION, 2010. 

──── ──── ────

9 | P a g e B A C K 

[AKU-PATNA] [102 – ME || 107 -LT] 

CURRICULUM 

FOR 

MECHANICAL ENGINEERING 

AND 

LEATHER TECHNOLOGY & ENGINEERING 

SEMESTER – I 

Sl.  

No.

Paper  

Code 

Paper Title 

Credits

102101 

Physics (Electromagnetism) 

5.5

102102 

Mathematics –I (Calculus & Linear Algebra) 

4

100101 

Basic Electrical Engineering 

5

100102 

Engineering Graphics & Design 

3



SEMESTER – II 

Sl.  

No.

Paper  

Code 

Paper Title 

Credits

100203 

Chemistry 

5.5

102202 

Mathematics –II (ODE & Complex Variables) 

4

100204 

Programming for Problem Solving 

5

100205 

Workshop Manufacturing Practices 

3

100206 

English 

3



DEFINITION OF CREDIT

Hour 

Component 

Credit

Lecture (L) per week 

1

Tutorial (T) per week 

1

Practical (P) per week 

0.5



10 | P a g e B A C K 

[AKU-PATNA] [102 – ME || 107 -LT] 

PAPER CODE - 102101 

BSC 

PHYSICS (ELECTROMAGNETISM) 

L:3 

T:1 

P:3 

CREDIT:5.5



INTRODUCTION TO ELECTROMAGNETIC THEORY [L: 3; T: 1; P: 0 (4 CREDITS)] PRE-REQUISITES (IF ANY) MATHEMATICS COURSE WITH VECTOR CALCULUS DETAILED CONTENTS: 

MODULE 1: ELECTROSTATICS IN VACUUM (8 LECTURES) 

CALCULATION OF ELECTRIC FIELD AND ELECTROSTATIC POTENTIAL FOR A CHARGE DISTRIBUTION; DIVERGENCE AND CURL OF ELECTROSTATIC FIELD; LAPLACE’S  AND POISSON’S EQUATIONS FOR ELECTROSTATIC POTENTIAL AND UNIQUENESS OF THEIR  SOLUTION AND CONNECTION WITH STEADY STATE DIFFUSION AND THERMAL CONDUCTION;  PRACTICAL EXAMPLES LIKE FARADY’S CAGE AND COFFEE-RING EFFECT; BOUNDARY  CONDITIONS OF ELECTRIC FIELD AND ELECTROSTATIC POTENTIAL; METHOD OF  IMAGES; ENERGY OF A CHARGE DISTRIBUTION AND ITS EXPRESSION IN TERMS OF ELECTRIC  FIELD. 

MODULE 2: ELECTROSTATICS IN A LINEAR DIELECTRIC MEDIUM (4 LECTURES) 

ELECTROSTATIC FIELD AND POTENTIAL OF A DIPOLE. BOUND CHARGES DUE TO  ELECTRIC POLARIZATION; ELECTRIC DISPLACEMENT; BOUNDARY CONDITIONS ON  DISPLACEMENT; SOLVING SIMPLE ELECTROSTATICS PROBLEMS IN PRESENCE OF  DIELECTRICS – POINT CHARGE AT THE CENTRE OF A DIELECTRIC SPHERE, CHARGE  IN FRONT OF A DIELECTRIC SLAB, DIELECTRIC SLAB AND DIELECTRIC SPHERE IN UNIFORM  ELECTRIC FIELD. 

MODULE 3: MAGNETOSTATICS (6 LECTURES) 

BIO-SAVART LAW, DIVERGENCE AND CURL OF STATIC MAGNETIC FIELD; VECTOR  POTENTIAL AND CALCULATING IT FOR A GIVEN MAGNETIC FIELD USING STOKES’ THEOREM;  THE EQUATION FOR THE VECTOR POTENTIAL AND ITS SOLUTION FOR GIVEN CURRENT  DENSITIES. 

MODULE 4: MAGNETOSTATICS IN A LINEAR MAGNETIC MEDIUM (3 LECTURES) 

MAGNETIZATION AND ASSOCIATED BOUND CURRENTS; AUXILIARY MAGNETIC FIELD;  BOUNDARY CONDITIONS ON AND. SOLVING FOR MAGNETIC FIELD DUE TO SIMPLE MAGNETS  LIKE A BAR MAGNET; MAGNETIC SUSCEPTIBILITY AND FERROMAGNETIC, PARAMAGNETIC AND  DIAMAGNETIC MATERIALS; QUALITATIVE DISCUSSION OF MAGNETIC FIELD IN PRESENCE OF  MAGNETIC MATERIALS. 

MODULE 5: FARADAY’S LAW (4 LECTURES) 

FARADAY’S LAW IN TERMS OF EMF PRODUCED BY CHANGING MAGNETIC FLUX;  EQUIVALENCE OF FARADAY’S LAW AND MOTIONAL EMF; LENZ’S LAW; ELECTROMAGNETIC 

11 | P a g e B A C K 

[AKU-PATNA] [102 – ME || 107 -LT] 

BREAKING AND ITS APPLICATIONS; DIFFERENTIAL FORM OF FARADAY’S LAW EXPRESSING  CURL OF ELECTRIC FIELD IN TERMS OF TIME-DERIVATIVE OF MAGNETIC FIELD AND  CALCULATING ELECTRIC FIELD DUE TO CHANGING MAGNETIC FIELDS IN QUASI-STATIC  APPROXIMATION; ENERGY STORED IN A MAGNETIC FIELD. 

MODULE 6: DISPLACEMENT CURRENT, MAGNETIC FIELD DUE TO TIME-DEPENDENT ELECTRIC  FIELD AND MAXWELL’S EQUATIONS (5 LECTURES) 

CONTINUITY EQUATION FOR CURRENT DENSITIES; MODIFYING EQUATION FOR THE  CURL OF MAGNETIC FIELD TO SATISFY CONTINUITY EQUATION; DISPLACE CURRENT AND  MAGNETIC FIELD ARISING FROM TIME- DEPENDENT ELECTRIC FIELD; CALCULATING  MAGNETIC FIELD DUE TO CHANGING ELECTRIC FIELDS IN QUASI- STATIC APPROXIMATION.  MAXWELL’S EQUATION IN VACUUM AND NON-CONDUCTING MEDIUM; ENERGY IN AN  ELECTROMAGNETIC FIELD; FLOW OF ENERGY AND POYNTING VECTOR WITH EXAMPLES.  QUALITATIVE DISCUSSION OF MOMENTUM IN ELECTROMAGNETIC FIELDS. 

MODULE 7: ELECTROMAGNETIC WAVES (8 LECTURES) 

THE WAVE EQUATION; PLANE ELECTROMAGNETIC WAVES IN VACUUM, THEIR TRANSVERSE  NATURE AND POLARIZATION; RELATION BETWEEN ELECTRIC AND MAGNETIC FIELDS OF AN  ELECTROMAGNETIC WAVE; ENERGY CARRIED BY ELECTROMAGNETIC WAVES AND EXAMPLES.  MOMENTUM CARRIED BY ELECTROMAGNETIC WAVES AND RESULTANT PRESSURE. REFLECTION  AND TRANSMISSION OF ELECTROMAGNETIC WAVES FROM A NON-CONDUCTING MEDIUM-VACUUM  INTERFACE FOR NORMAL INCIDENCE. 

SUGGESTED TEXT BOOKS 

🕮 DAVID GRIFFITHS, INTRODUCTION TO ELECTRODYNAMICS 

SUGGESTED REFERENCE BOOKS: 

🕮 HALLIDAY AND RESNICK, PHYSICS 

🕮 W. SASLOW, ELECTRICITY, MAGNETISM AND LIGHT 

LABORATORY - INTRODUCTION TO ELECTROMAGNETIC THEORY [L:0;T:0;P:3 (1.5 CREDITS)] CHOICE OF EXPERIMENTS FROM THE FOLLOWING: 

EXPERIMENTS ON ELECTROMAGNETIC INDUCTION AND ELECTROMAGNETIC BREAKING; LC CIRCUIT AND LCR CIRCUIT; 

RESONANCE PHENOMENA IN LCR CIRCUITS; 

MAGNETIC FIELD FROM HELMHOLTZ COIL; 

MEASUREMENT OF LORENTZ FORCE IN A VACUUM TUBE 

──── ──── ────

12 | P a g e B A C K 

[AKU-PATNA] [102 – ME || 107 -LT] 

PAPER CODE – 102102 

BSC 

MATHEMATICS –I (CALCULUS & LINEAR  ALGEBRA )

L:3 

T:1 

P:0 

CREDIT:4



DETAILED CONTENTS 

MODULE 1: CALCULUS: (6 LECTURES) 

EVOLUTES AND INVOLUTES; EVALUATION OF DEFINITE AND IMPROPER INTEGRALS;  BETA AND GAMMA FUNCTIONS AND THEIR PROPERTIES; APPLICATIONS OF DEFINITE  INTEGRALS TO EVALUATE SURFACE AREAS AND VOLUMES OF REVOLUTIONS. 

MODULE 2: CALCULUS: (6 LECTURES) 

ROLLE’S THEOREM, MEAN VALUE THEOREMS, TAYLOR’S AND MACLAURIN THEOREMS  WITH REMAINDERS; INDETERMINATE FORMS AND L'HOSPITAL'S RULE; MAXIMA AND MINIMA. 

MODULE 3: SEQUENCES AND SERIES: (10 LECTURES) 

CONVERGENCE OF SEQUENCE AND SERIES, TESTS FOR CONVERGENCE; POWER SERIES,  TAYLOR'S SERIES, SERIES FOR EXPONENTIAL, TRIGONOMETRIC AND LOGARITHM FUNCTIONS;  FOURIER SERIES: HALF RANGE SINE AND COSINE SERIES, PARSEVAL’S THEOREM. 

MODULE 4: MULTIVARIABLE CALCULUS (DIFFERENTIATION): (8 LECTURES) 

LIMIT, CONTINUITY AND PARTIAL DERIVATIVES, DIRECTIONAL DERIVATIVES, TOTAL  DERIVATIVE; TANGENT PLANE AND NORMAL LINE; MAXIMA, MINIMA AND SADDLE POINTS;  METHOD OF LAGRANGE MULTIPLIERS; GRADIENT, CURL AND DIVERGENCE. 

MODULE 5: MATRICES (10 LECTURES) 

INVERSE AND RANK OF A MATRIX, RANK-NULLITY THEOREM; SYSTEM OF LINEAR  EQUATIONS; SYMMETRIC, SKEW-SYMMETRIC AND ORTHOGONAL MATRICES; DETERMINANTS;  EIGENVALUES AND EIGENVECTORS; DIAGONALIZATION OF MATRICES; CAYLEY-HAMILTON  THEOREM, AND ORTHOGONAL TRANSFORMATION. 

SUGGESTED TEXT/REFERENCE BOOKS 

🕮 G.B. THOMAS AND R.L. FINNEY, CALCULUS AND ANALYTIC GEOMETRY, 9TH EDITION,  PEARSON, REPRINT, 2002. 

🕮 ERWIN KREYSZIG, ADVANCED ENGINEERING MATHEMATICS, 9TH EDITION, JOHN WILEY  & SONS, 2006. 

🕮 VEERARAJAN T., ENGINEERING MATHEMATICS FOR FIRST YEAR, TATA MCGRAW-HILL,  NEW DELHI, 2008. 

🕮 RAMANA B.V., HIGHER ENGINEERING MATHEMATICS, TATA MCGRAW HILL NEW DELHI,  11TH REPRINT, 2010.

13 | P a g e B A C K 

[AKU-PATNA] [102 – ME || 107 -LT] 

🕮 D. POOLE, LINEAR ALGEBRA: A MODERN INTRODUCTION, 2ND EDITION, BROOKS/COLE,  2005. 

🕮 N.P. BALI AND MANISH GOYAL, A TEXT BOOK OF ENGINEERING MATHEMATICS,  LAXMI PUBLICATIONS, REPRINT, 2008. 

🕮 B.S. GREWAL, HIGHER ENGINEERING MATHEMATICS, KHANNA PUBLISHERS, 36TH  EDITION, 2010. 

COURSE OUTCOMES 

THE OBJECTIVE OF THIS COURSE IS TO FAMILIARIZE THE PROSPECTIVE ENGINEERS WITH  TECHNIQUES IN CALCULUS, MULTIVARIATE ANALYSIS AND LINEAR ALGEBRA. IT AIMS TO  EQUIP THE STUDENTS WITH STANDARD CONCEPTS AND TOOLS AT AN INTERMEDIATE TO ADVANCED LEVEL THAT WILL SERVE THEM WELL TOWARDS TACKLING MORE ADVANCED LEVEL  OF MATHEMATICS AND APPLICATIONS THAT THEY WOULD FIND USEFUL IN THEIR DISCIPLINES. 

THE STUDENTS WILL LEARN: 

TO APPLY DIFFERENTIAL AND INTEGRAL CALCULUS TO NOTIONS OF CURVATURE AND  TO IMPROPER INTEGRALS. APART FROM SOME OTHER APPLICATIONS THEY WILL HAVE  A BASIC UNDERSTANDING OF BETA AND GAMMA FUNCTIONS. 

THE FALLOUTS OF ROLLE’S THEOREM THAT IS FUNDAMENTAL TO APPLICATION  OF ANALYSIS TO ENGINEERING PROBLEMS. 

THE TOOL OF POWER SERIES AND FOURIER SERIES FOR LEARNING ADVANCED  ENGINEERING MATHEMATICS. 

TO DEAL WITH FUNCTIONS OF SEVERAL VARIABLES THAT ARE ESSENTIAL  IN MOST BRANCHES OF ENGINEERING. 

THE ESSENTIAL TOOL OF MATRICES AND LINEAR ALGEBRA IN A COMPREHENSIVE  MANNER 

──── ──── ────

14 | P a g e B A C K 

[AKU-PATNA] [102 – ME || 107 -LT] 

PAPER CODE – 102202 

BSC 

MATHEMATICS –II (ODE & COMPLEX  VARIABLES)

L:3 

T:1 

P:0 

CREDIT:4



DETAILED CONTENTS 

MODULE 1: MULTIVARIABLE CALCULUS (INTEGRATION): (10 LECTURES) 

MULTIPLE INTEGRATION: DOUBLE INTEGRALS (CARTESIAN), CHANGE OF ORDER OF  INTEGRATION IN DOUBLE INTEGRALS, CHANGE OF VARIABLES (CARTESIAN TO POLAR),  APPLICATIONS: AREAS AND VOLUMES, CENTER OF MASS AND GRAVITY (CONSTANT AND  VARIABLE DENSITIES); TRIPLE INTEGRALS (CARTESIAN), ORTHOGONAL CURVILINEAR  COORDINATES, SIMPLE APPLICATIONS INVOLVING CUBES, SPHERE AND RECTANGULAR  PARALLELEPIPEDS; SCALAR LINE INTEGRALS, VECTOR LINE INTEGRALS, SCALAR SURFACE  INTEGRALS, VECTOR SURFACE INTEGRALS, THEOREMS OF GREEN, GAUSS AND STOKES. 

MODULE 2: FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS: (6 LECTURES) 

EXACT, LINEAR AND BERNOULLI’S EQUATIONS, EULER’S EQUATIONS, EQUATIONS NOT  OF FIRST DEGREE: EQUATIONS SOLVABLE FOR P, EQUATIONS SOLVABLE FOR Y, EQUATIONS  SOLVABLE FOR X AND CLAIRAUT’S TYPE. 

MODULE 3: ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER ORDERS: (8 LECTURES) 

SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS,  METHOD OF VARIATION OF PARAMETERS, CAUCHY-EULER EQUATION; POWER SERIES  SOLUTIONS; LEGENDRE POLYNOMIALS, BESSEL FUNCTIONS OF THE FIRST KIND AND THEIR  PROPERTIES. 

MODULE 4: COMPLEX VARIABLE – DIFFERENTIATION: (8 LECTURES) 

DIFFERENTIATION, CAUCHY-RIEMANN EQUATIONS, ANALYTIC FUNCTIONS, HARMONIC  FUNCTIONS, FINDING HARMONIC CONJUGATE; ELEMENTARY ANALYTIC FUNCTIONS (EXPONENTIAL, TRIGONOMETRIC, LOGARITHM) AND THEIR PROPERTIES; CONFORMAL  MAPPINGS, MOBIUS TRANSFORMATIONS AND THEIR PROPERTIES. 

MODULE 5: COMPLEX VARIABLE – INTEGRATION: (8 LECTURES) 

CONTOUR INTEGRALS, CAUCHY-GOURSAT THEOREM (WITHOUT PROOF), CAUCHY  INTEGRAL FORMULA (WITHOUT PROOF), LIOUVILLE’S THEOREM AND MAXIMUM-MODULUS  THEOREM (WITHOUT PROOF); TAYLOR’S SERIES, ZEROS OF ANALYTIC FUNCTIONS,  SINGULARITIES, LAURENT’S SERIES; RESIDUES, CAUCHY RESIDUE THEOREM (WITHOUT  PROOF), EVALUATION OF DEFINITE INTEGRAL INVOLVING SINE AND COSINE, EVALUATION  OF CERTAIN IMPROPER INTEGRALS USING THE BROMWICH CONTOUR. 

SUGGESTED TEXT/REFERENCE BOOKS

15 | P a g e B A C K 

[AKU-PATNA] [102 – ME || 107 -LT] 

🕮 G.B. THOMAS AND R.L. FINNEY, CALCULUS AND ANALYTIC GEOMETRY, 9TH EDITION,  PEARSON, REPRINT, 2002. 

🕮 ERWIN KREYSZIG, ADVANCED ENGINEERING MATHEMATICS, 9TH EDITION, JOHN WILEY  & SONS, 2006. 

🕮 W. E. BOYCE AND R. C. DIPRIMA, ELEMENTARY DIFFERENTIAL EQUATIONS AND  BOUNDARY 

🕮 VALUE PROBLEMS, 9TH EDITION, WILEY INDIA, 2009. 

🕮 S. L. ROSS, DIFFERENTIAL EQUATIONS, 3RD ED., WILEY INDIA, 1984. 🕮 E. A. CODDINGTON, AN INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS,  PRENTICE HALL INDIA, 1995. 

🕮 E. L. INCE, ORDINARY DIFFERENTIAL EQUATIONS, DOVER PUBLICATIONS, 1958. 🕮 J. W. BROWN AND R. V. CHURCHILL, COMPLEX VARIABLES AND APPLICATIONS, 7TH  ED., MC- GRAW HILL, 2004. 

🕮 N.P. BALI AND MANISH GOYAL, A TEXT BOOK OF ENGINEERING MATHEMATICS,  LAXMI PUBLICATIONS, REPRINT, 2008. 

🕮 B.S. GREWAL, HIGHER ENGINEERING MATHEMATICS, KHANNA PUBLISHERS, 36TH  EDITION, 2010. 

COURSE OUTCOMES 

THE OBJECTIVE OF THIS COURSE IS TO FAMILIARIZE THE PROSPECTIVE ENGINEERS  WITH TECHNIQUES IN 

MULTIVARIATE INTEGRATION, ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS AND  COMPLEX VARIABLES. IT AIMS TO EQUIP THE STUDENTS TO DEAL WITH ADVANCED  LEVEL OF MATHEMATICS AND APPLICATIONS THAT WOULD BE ESSENTIAL FOR THEIR  DISCIPLINES. 

THE STUDENTS WILL LEARN 

THE MATHEMATICAL TOOLS NEEDED IN EVALUATING MULTIPLE INTEGRALS AND THEIR  USAGE. 

THE EFFECTIVE MATHEMATICAL TOOLS FOR THE SOLUTIONS OF DIFFERENTIAL  EQUATIONS THAT MODEL PHYSICAL PROCESSES. 

THE TOOLS OF DIFFERENTIATION AND INTEGRATION OF FUNCTIONS OF A COMPLEX  VARIABLE THAT ARE USED IN VARIOUS TECHNIQUES DEALING ENGINEERING PROBLEMS 

──── ──── ────

16 | P a g e B A C K 

[AKU-PATNA] [105 – CSE || 106 - IT] 

CURRICULUM 

FOR 

COMPUTER SCIENCE & ENGINEERING AND 

INFORMATION TECHNOLOGY & ENGINEERING 

SEMESTER – I(COMPUTER SCIENCE & ENGINEERING) 

Sl.  

No.

Paper  

Code 

Paper Title 

Credits

100103 

Chemistry 

5.5

105102 

Mathematics –I (Calculus & Linear Algebra) 

4

100104 

Programming for Problem Solving 

5

100105 

Workshop Manufacturing Practices 

3

100106 

English 

3



SEMESTER – II (COMPUTER SCIENCE & ENGINEERING) 

Sl.  

No.

Paper  

Code 

Paper Title 

Credits

105201 

Physics (Semiconductor Physics) 

5.5

105202 

Mathematics –II (Probability and Statistics) 

4

100201 

Basic Electrical Engineering 

5

100202 

Engineering Graphics & Design 

3



SEMESTER – I(INFORMATION TECHNOLOGY & ENGINEERING) 

Sl.  

No.

Paper  

Code 

Paper Title 

Credits

105101 

Physics (Semiconductor Physics) 

5.5

105102 

Mathematics –I (Calculus & Linear Algebra) 

4

100101 

Basic Electrical Engineering 

5

100102 

Engineering Graphics & Design 

3



SEMESTER – II (INFORMATION TECHNOLOGY & ENGINEERING)

Sl.  

No.

Paper  

Code 

Paper Title 

Credits

100203 

Chemistry 

5.5

105202 

Mathematics –II (Probability and Statistics) 

4

100204 

Programming for Problem Solving 

5

100205 

Workshop Manufacturing Practices 

3

100206 

English 

3



17 | P a g e B A C K 

[AKU-PATNA] [105 – CSE || 106 - IT] 

PAPER CODE - 105101 || 105201 

BSC 

PHYSICS (SEMICONDUCTOR  

PHYSICS) 

L:3 

T:1 

P:3 

CREDIT:5.5



SEMICONDUCTOR OPTOELECTRONICS 

PREREQUISITE: SEMICONDUCTOR PHYSICS 

MODULE 1: REVIEW OF SEMICONDUCTOR PHYSICS (10 LECTURES) 

E-K DIAGRAM, DENSITY OF STATES, OCCUPATION PROBABILITY, FERMI LEVEL AND  QUASI-FERMI LEVEL (VARIATION BY CARRIER CONCENTRATION AND TEMPERATURE); P-N  JUNCTION, METAL-SEMICONDUCTOR JUNCTION (OHMIC AND SCHOTTKY); CARRIER  TRANSPORT, GENERATION, AND RECOMBINATION; SEMICONDUCTOR MATERIALS OF  INTEREST FOR OPTOELECTRONIC DEVICES, BANDGAP MODIFICATION, HETEROSTRUCTURES;  LIGHT- SEMICONDUCTOR INTERACTION: RATES OF OPTICAL TRANSITIONS, JOINT  DENSITY OF STATES, CONDITION FOR OPTICAL AMPLIFICATION. 

MODULE 2: SEMICONDUCTOR LIGHT EMITTING DIODES (LEDS) (6 LECTURES) 

RATE EQUATIONS FOR CARRIER DENSITY, RADIATIVE AND NON-RADIATIVE  RECOMBINATION MECHANISMS IN SEMICONDUCTORS, LED: DEVICE STRUCTURE, MATERIALS,  CHARACTERISTICS, AND FIGURES OF MERIT. 

MODULE 3: SEMICONDUCTOR LASERS (8 LECTURES) 

REVIEW OF LASER PHYSICS; RATE EQUATIONS FOR CARRIER- AND PHOTON-DENSITY,  AND THEIR STEADY STATE SOLUTIONS, LASER DYNAMICS, RELAXATION OSCILLATIONS,  INPUT-OUTPUT CHARACTERISTICS OF LASERS. SEMICONDUCTOR LASER: STRUCTURE,  MATERIALS, DEVICE CHARACTERISTICS, AND FIGURES OF MERIT; DFB, DBR, AND VERTICAL 

CAVITY SURFACE-EMITTING LASERS (VECSEL), TUNABLE SEMICONDUCTOR LASERS. MODULE 4: PHOTODETECTORS (6 LECTURES) 

TYPES OF SEMICONDUCTOR PHOTODETECTORS -P-N JUNCTION, PIN, AND AVALANCHE  AND THEIR STRUCTURE, MATERIALS, WORKING PRINCIPLE, AND CHARACTERISTICS, NOISE  LIMITS ON PERFORMANCE; SOLAR CELLS. 

MODULE 5: LOW-DIMENSIONAL OPTOELECTRONIC DEVICES (6 LECTURES)  QUANTUM-WELL, -WIRE, AND -DOT BASED LEDS, LASERS, AND PHOTODETECTORS. SUGGESTED TEXT/REFERENCE BOOKS 

🕮 J. SINGH, SEMICONDUCTOR OPTOELECTRONICS: PHYSICS AND TECHNOLOGY, MCGRAW HILL INC. (1995). 

🕮 B. E. A. SALEH AND M. C. TEICH, FUNDAMENTALS OF PHOTONICS, JOHN WILEY &  SONS,

18 | P a g e B A C K 

[AKU-PATNA] [105 – CSE || 106 - IT] 

🕮 S. M. SZE, SEMICONDUCTOR DEVICES: PHYSICS AND TECHNOLOGY, WILEY (2008). 🕮 YARIV AND P. YEH, PHOTONICS: OPTICAL ELECTRONICS IN MODERN COMMUNICATIONS,  OXFORD UNIVERSITY PRESS, NEW YORK (2007). 

🕮 P. BHATTACHARYA, SEMICONDUCTOR OPTOELECTRONIC DEVICES, PRENTICE HALL OF  INDIA (1997). 

🕮 ONLINE COURSE: “SEMICONDUCTOR OPTOELECTRONICS” BY M R SHENOY ON NPTEL 🕮 ONLINE COURSE: "OPTOELECTRONIC MATERIALS AND DEVICES" BY MONICA KATIYAR  AND DEEPAK GUPTA ON NPTEL 

SEMICONDUCTOR PHYSICS 

PREREQUISITE: “INTRODUCTION TO QUANTUM MECHANICS” DESIRABLE 

MODULE 1: ELECTRONIC MATERIALS (8 LECTURES) 

FREE ELECTRON THEORY, DENSITY OF STATES AND ENERGY BAND DIAGRAMS, KRONIG PENNY MODEL (TO INTRODUCE ORIGIN OF BAND GAP), ENERGY BANDS IN SOLIDS,  E-K DIAGRAM, DIRECT AND INDIRECT BANDGAPS, TYPES OF ELECTRONIC MATERIALS:  METALS, SEMICONDUCTORS, AND INSULATORS, DENSITY OF STATES, OCCUPATION  PROBABILITY, FERMI LEVEL, EFFECTIVE MASS, PHONONS. 

MODULE 2: SEMICONDUCTORS (10 LECTURES) 

INTRINSIC AND EXTRINSIC SEMICONDUCTORS, DEPENDENCE OF FERMI LEVEL ON  CARRIER-CONCENTRATION AND TEMPERATURE (EQUILIBRIUM CARRIER STATISTICS), CARRIER  GENERATION AND RECOMBINATION, CARRIER TRANSPORT: DIFFUSION AND DRIFT, P-N JUNCTION, METAL-SEMICONDUCTOR JUNCTION (OHMIC AND SCHOTTKY), SEMICONDUCTOR  MATERIALS OF INTEREST FOR OPTOELECTRONIC DEVICES. 

MODULE 3: LIGHT-SEMICONDUCTOR INTERACTION (6 LECTURES) 

OPTICAL TRANSITIONS IN BULK SEMICONDUCTORS: ABSORPTION, SPONTANEOUS  EMISSION, AND STIMULATED EMISSION; JOINT DENSITY OF STATES, DENSITY OF STATES  FOR PHOTONS, TRANSITION RATES (FERMI'S GOLDEN RULE), OPTICAL LOSS AND GAIN;  PHOTOVOLTAIC EFFECT, EXCITON, DRUDE MODEL. 

MODULE 4: MEASUREMENTS (6 LECTURES) 

FOUR-POINT PROBE AND VAN DER PAUW MEASUREMENTS FOR CARRIER DENSITY,  RESISTIVITY, AND HALL MOBILITY; HOT-POINT PROBE MEASUREMENT,  CAPACITANCE-VOLTAGE MEASUREMENTS, PARAMETER EXTRACTION FROM DIODE I-V  CHARACTERISTICS, DLTS, BAND GAP BY UV-VIS SPECTROSCOPY, ABSORPTION/TRANSMISSION. 

MODULE 5: ENGINEERED SEMICONDUCTOR MATERIALS (6 LECTURES) 

DENSITY OF STATES IN 2D, 1D AND 0D (QUALITATIVELY). PRACTICAL EXAMPLES OF LOW DIMENSIONAL SYSTEMS SUCH AS QUANTUM WELLS, WIRES, AND DOTS: DESIGN, FABRICATION,  AND CHARACTERIZATION TECHNIQUES. HETEROJUNCTIONS AND ASSOCIATED BAND-DIAGRAMS

19 | P a g e B A C K 

[AKU-PATNA] [105 – CSE || 106 - IT] 

SUGGESTED TEXT/REFERENCE BOOKS 

🕮 J. SINGH, SEMICONDUCTOR OPTOELECTRONICS: PHYSICS AND TECHNOLOGY, MCGRAW HILL INC. (1995). 

🕮 B. E. A. SALEH AND M. C. TEICH, FUNDAMENTALS OF PHOTONICS, JOHN WILEY &  SONS, INC., (2007). 

🕮 S. M. SZE, SEMICONDUCTOR DEVICES: PHYSICS AND TECHNOLOGY, WILEY (2008). 🕮 YARIV AND P. YEH, PHOTONICS: OPTICAL ELECTRONICS IN MODERN COMMUNICATIONS,  OXFORD UNIVERSITY PRESS, NEW YORK (2007). 

🕮 P. BHATTACHARYA, SEMICONDUCTOR OPTOELECTRONIC DEVICES, PRENTICE HALL OF  INDIA (1997). 

🕮 ONLINE COURSE: “SEMICONDUCTOR OPTOELECTRONICS” BY M R SHENOY ON NPTEL 🕮 NLINE COURSE: "OPTOELECTRONIC MATERIALS AND DEVICES" BY MONICA KATIYAR  AND DEEPAK GUPTAON NPTEL 

LABORATORY – 

──── ──── ────

20 | P a g e B A C K 

[AKU-PATNA] [105 – CSE || 106 - IT] 

PAPER CODE - 105102 

BSC 

MATHEMATICS –I (CALCULUS & LINEAR ALGEBRA ) 

L:3 

T:1 

P:0 

CREDIT:4



CONTENTS 

MODULE 1: CALCULUS: (6 LECTURES) 

EVOLUTES AND INVOLUTES; EVALUATION OF DEFINITE AND IMPROPER INTEGRALS;  BETA AND GAMMA FUNCTIONS AND THEIR PROPERTIES; APPLICATIONS OF DEFINITE  INTEGRALS TO EVALUATE SURFACE AREAS AND VOLUMES OF REVOLUTIONS. 

MODULE 2: CALCULUS: (6 LECTURES) 

ROLLE’S THEOREM, MEAN VALUE THEOREMS, TAYLOR’S AND MACLAURIN THEOREMS  WITH REMAINDERS; INDETERMINATE FORMS AND L'HOSPITAL'S RULE; MAXIMA AND MINIMA. 

MODULE 3: SEQUENCES AND SERIES: (10 LECTURES) 

CONVERGENCE OF SEQUENCE AND SERIES, TESTS FOR CONVERGENCE; POWER SERIES,  TAYLOR'S SERIES, SERIES FOR EXPONENTIAL, TRIGONOMETRIC AND LOGARITHM FUNCTIONS; FOURIER SERIES: HALF RANGE SINE AND COSINE SERIES, PARSEVAL’S THEOREM. 

MODULE 4: MULTIVARIABLE CALCULUS (DIFFERENTIATION): (8 LECTURES) 

LIMIT, CONTINUITY AND PARTIAL DERIVATIVES, DIRECTIONAL DERIVATIVES, TOTAL  DERIVATIVE; TANGENT PLANE AND NORMAL LINE; MAXIMA, MINIMA AND SADDLE POINTS;  METHOD OF LAGRANGE MULTIPLIERS; GRADIENT, CURL AND DIVERGENCE. 

MODULE 5: MATRICES (10 LECTURES) 

INVERSE AND RANK OF A MATRIX, RANK-NULLITY THEOREM; SYSTEM OF LINEAR  EQUATIONS; SYMMETRIC, SKEW-SYMMETRIC AND ORTHOGONAL MATRICES; DETERMINANTS;  EIGENVALUES AND EIGENVECTORS; DIAGONALIZATION OF MATRICES; CAYLEY-HAMILTON  THEOREM, AND ORTHOGONAL TRANSFORMATION. 

SUGGESTED TEXT/REFERENCE BOOKS 

🕮 G.B. THOMAS AND R.L. FINNEY, CALCULUS AND ANALYTIC GEOMETRY, 9TH EDITION, PEARSON, REPRINT, 2002. 

🕮 ERWIN KREYSZIG, ADVANCED ENGINEERING MATHEMATICS, 9TH EDITION, JOHN WILEY  & SONS, 2006. 

🕮 VEERARAJAN T., ENGINEERING MATHEMATICS FOR FIRST YEAR, TATA MCGRAW-HILL,  NEW DELHI, 2008. 

🕮 RAMANA B.V., HIGHER ENGINEERING MATHEMATICS, TATA MCGRAW HILL NEW DELHI, 11TH REPRINT, 2010.

21 | P a g e B A C K 

[AKU-PATNA] [105 – CSE || 106 - IT] 

🕮 D. POOLE, LINEAR ALGEBRA: A MODERN INTRODUCTION, 2ND EDITION, BROOKS/COLE,  2005. 

🕮 N.P. BALI AND MANISH GOYAL, A TEXT BOOK OF ENGINEERING MATHEMATICS,  LAXMI PUBLICATIONS, REPRINT, 2008. 

🕮 B.S. GREWAL, HIGHER ENGINEERING MATHEMATICS, KHANNA PUBLISHERS, 36TH  EDITION, 2010. 

COURSE OUTCOMES 

THE OBJECTIVE OF THIS COURSE IS TO FAMILIARIZE THE PROSPECTIVE ENGINEERS  WITH TECHNIQUES IN CALCULUS, MULTIVARIATE ANALYSIS AND LINEAR ALGEBRA. IT AIMS  TO EQUIP THE STUDENTS WITH STANDARD CONCEPTS AND TOOLS AT AN INTERMEDIATE TO ADVANCED LEVEL THAT WILL SERVE THEM WELL TOWARDS TACKLING MORE ADVANCED LEVEL  OF MATHEMATICS AND APPLICATIONS THAT THEY WOULD FIND USEFUL IN THEIR DISCIPLINES. 

THE STUDENTS WILL LEARN: 

TO APPLY DIFFERENTIAL AND INTEGRAL CALCULUS TO NOTIONS OF CURVATURE AND  TO IMPROPER INTEGRALS. APART FROM SOME OTHER APPLICATIONS THEY WILL HAVE  A BASIC UNDERSTANDING OF BETA AND GAMMA FUNCTIONS. 

THE FALLOUTS OF ROLLE’S THEOREM THAT IS FUNDAMENTAL TO APPLICATION  OF ANALYSIS TO ENGINEERING PROBLEMS. 

THE TOOL OF POWER SERIES AND FOURIER SERIES FOR LEARNING ADVANCED  ENGINEERING MATHEMATICS. 

TO DEAL WITH FUNCTIONS OF SEVERAL VARIABLES THAT ARE ESSENTIAL  IN MOST BRANCHES OF ENGINEERING. 

THE ESSENTIAL TOOL OF MATRICES AND LINEAR ALGEBRA IN A COMPREHENSIVE  MANNER 

──── ──── ────

22 | P a g e B A C K 

[AKU-PATNA] [105 – CSE || 106 - IT] 

PAPER CODE - 105202 

BSC 

MATHEMATICS –II (PROBABILITY AND  STATISTICS) 

L:3 

T:1 

P:0 

CREDIT:4



CONTENTS 

MODULE 1: BASIC PROBABILITY (12 LECTURES) 

PROBABILITY SPACES, CONDITIONAL PROBABILITY, INDEPENDENCE; DISCRETE  RANDOM VARIABLES, INDEPENDENT RANDOM VARIABLES, THE MULTINOMIAL DISTRIBUTION,  POISSON APPROXIMATION TO THE BINOMIAL DISTRIBUTION, INFINITE SEQUENCES OF  BERNOULLI TRIALS, SUMS OF INDEPENDENT RANDOM VARIABLES; EXPECTATION OF DISCRETE  RANDOM VARIABLES, MOMENTS, VARIANCE OF A SUM, CORRELATION COEFFICIENT,  CHEBYSHEV'S INEQUALITY. 

MODULE 2: CONTINUOUS PROBABILITY DISTRIBUTIONS (4 LECTURES) 

CONTINUOUS RANDOM VARIABLES AND THEIR PROPERTIES, DISTRIBUTION FUNCTIONS  AND DENSITIES, NORMAL, EXPONENTIAL AND GAMMA DENSITIES. 

MODULE 3: BIVARIATE DISTRIBUTIONS (4 LECTURES) 

BIVARIATE DISTRIBUTIONS AND THEIR PROPERTIES, DISTRIBUTION OF SUMS AND  QUOTIENTS, CONDITIONAL DENSITIES, BAYES' RULE. 

MODULE 4: BASIC STATISTICS (8 LECTURES) 

MEASURES OF CENTRAL TENDENCY: MOMENTS, SKEWNESS AND KURTOSIS - PROBABILITY  DISTRIBUTIONS: BINOMIAL, POISSON AND NORMAL - EVALUATION OF STATISTICAL  PARAMETERS FOR THESE THREE DISTRIBUTIONS, CORRELATION AND REGRESSION – RANK  CORRELATION. 

MODULE 5: APPLIED STATISTICS (8 LECTURES) 

CURVE FITTING BY THE METHOD OF LEAST SQUARES- FITTING OF STRAIGHT LINES,  SECOND DEGREE PARABOLAS AND MORE GENERAL CURVES. TEST OF SIGNIFICANCE: LARGE  SAMPLE TEST FOR SINGLE PROPORTION,DIFFERENCE OF PROPORTIONS, SINGLE MEAN,  DIFFERENCE OF MEANS AND DIFFERENCE OF STANDARD DEVIATIONS. 

MODULE 6: SMALL SAMPLES (4 LECTURES) 

TEST FOR SINGLE MEAN, DIFFERENCE OF MEANS AND CORRELATION COEFFICIENTS,  TEST FOR RATIO OF VARIANCES - CHI-SQUARE TEST FOR GOODNESS OF FIT AND  INDEPENDENCE OF ATTRIBUTES. 

TEXT / REFERENCES: 

🕮 E. KREYSZIG, “ADVANCED ENGINEERING MATHEMATICS”, JOHN WILEY & SONS, 2006.

23 | P a g e B A C K 

[AKU-PATNA] [105 – CSE || 106 - IT] 

🕮 P. G. HOEL, S. C. PORT AND C. J. STONE, “INTRODUCTION TO PROBABILITY  THEORY”, UNIVERSAL BOOK STALL, 2003. 

🕮 S. ROSS, “A FIRST COURSE IN PROBABILITY”, PEARSON EDUCATION INDIA, 2002. 🕮 W. FELLER, “AN INTRODUCTION TO PROBABILITY THEORY AND ITS APPLICATIONS”,  VOL. 1, WILEY, 1968. 

🕮 N.P. BALI AND M. GOYAL, “A TEXT BOOK OF ENGINEERING MATHEMATICS”, LAXMI  PUBLICATIONS, 2010. 

🕮 B.S. GREWAL, “HIGHER ENGINEERING MATHEMATICS”, KHANNA PUBLISHERS, 2000. 🕮 T. VEERARAJAN, “ENGINEERING MATHEMATICS”, TATA MCGRAW-HILL, NEW DELHI,  2010 

──── ──── ────

24 | P a g e B A C K 

[AKU-PATNA] [103 –EE || 110 – EEE || 104 – ECE] 

CURRICULUM 

FOR 

ELECTRICAL ENGINEERING, 

ELECTRICAL AND ELECTRONICS ENGINEERING AND 

ELECTRICAL AND COMMUNICATION ENGINEERING SEMESTER – I 

Sl.  

No.

Paper  

Code 

Paper Title 

Credits

100103 

Chemistry 

5.5

103102 

Mathematics –I (Calculus and Differential Equations) 

4

100104 

Programming for Problem Solving 

5

100105 

Workshop Manufacturing Practices 

3

100106 

English 

3



SEMESTER – II 

Sl.  

No.

Paper  

Code 

Paper Title 

Credits

103201 

Physics (Waves and Optics, and Introduction to  Quantum Mechanics)

5.5

103202 

Mathematics –II (Linear Algebra, Transform Calculus  and Numerical Methods)

4

100201 

Basic Electrical Engineering 

5

100202 

Engineering Graphics & Design 

3



DEFINITION OF CREDIT

Hour 

Component 

Credit

Lecture (L) per week 

1

Tutorial (T) per week 

1

Practical (P) per week 

0.5



25 | P a g e B A C K 

[AKU-PATNA] [103 –EE || 110 – EEE || 104 – ECE] 

PAPER CODE - 103201 

BSC 

PHYSICS (WAVES AND OPTICS, AND  INTRODUCTION TO QUANTUM MECHANICS)

L:3 

T:1 

P:3 

CREDIT:5.5



CONTENTS 

MODULE 1: WAVES (3 LECTURES) 

MECHANICAL AND ELECTRICAL SIMPLE HARMONIC OSCILLATORS, DAMPED HARMONIC  OSCILLATOR, FORCED MECHANICAL AND ELECTRICAL OSCILLATORS, IMPEDANCE, STEADY  STATE MOTION OF FORCED DAMPED HARMONIC OSCILLATOR 

MODULE 2: NON-DISPERSIVE TRANSVERSE AND LONGITUDINAL WAVES (4 LECTURES) 

TRANSVERSE WAVE ON A STRING, THE WAVE EQUATION ON A STRING, HARMONIC  WAVES, REFLECTION AND TRANSMISSION OF WAVES AT A BOUNDARY, IMPEDANCE MATCHING,  STANDING WAVES AND THEIR EIGEN FREQUENCIES, LONGITUDINAL WAVES AND THE WAVE  EQUATION FOR THEM, ACOUSTICS WAVES 

MODULE 3: LIGHT AND OPTICS (3 LECTURES) 

LIGHT AS AN ELECTROMAGNETIC WAVE AND FRESNEL EQUATIONS, REFLECTANCE AND  TRANSMITTANCE, BREWSTER’S ANGLE, TOTAL INTERNAL REFLECTION, AND EVANESCENT WAVE.  MIRRORS AND LENSES AND OPTICAL INSTRUMENTS BASED ON THEM 

MODULE 4: WAVE OPTICS (5 LECTURES) 

HUYGENS’ PRINCIPLE, SUPERPOSITION OF WAVES AND INTERFERENCE OF LIGHT BY  WAVEFRONT SPLITTING AND AMPLITUDE SPLITTING; YOUNG’S DOUBLE SLIT EXPERIMENT,  NEWTON’S RINGS, MICHELSON INTERFEROMETER, MACH ZEHNDER INTERFEROMETER.  FARUNHOFER DIFFRACTION FROM A SINGLE SLIT AND A CIRCULAR APERTURE, THE RAYLEIGH  CRITERION FOR LIMIT OF RESOLUTION AND ITS APPLICATION TO VISION; DIFFRACTION  GRATINGS AND THEIR RESOLVING POWER 

MODULE 5: LASERS (5 LECTURES) 

EINSTEIN’S THEORY OF MATTER RADIATION INTERACTION AND A AND B  COEFFICIENTS; AMPLIFICATION OF LIGHT BY POPULATION INVERSION, DIFFERENT TYPES  OF LASERS: GAS LASERS (HE-NE, CO2), SOLID-STATE LASERS (RUBY, NEODYMIUM), DYE  LASERS; PROPERTIES OF LASER BEAMS: MONO-CHROMATICITY 

MODULE 6: INTRODUCTION TO QUANTUM MECHANICS (5 LECTURES) 

WAVE NATURE OF PARTICLES, TIME-DEPENDENT AND TIME-INDEPENDENT SCHRODINGER  EQUATION FOR WAVE FUNCTION, BORN INTERPRETATION, PROBABILITY CURRENT,  EXPECTATION VALUES, FREE-PARTICLE WAVE FUNCTION AND WAVE-PACKETS, UNCERTAINTY PRINCIPLE.

26 | P a g e B A C K 

[AKU-PATNA] [103 –EE || 110 – EEE || 104 – ECE] 

MODULE 7: SOLUTION OF WAVE EQUATION (6 LECTURES) 

SOLUTION OF STATIONARY-STATE SCHRODINGER EQUATION FOR ONE DIMENSIONAL  PROBLEMS–PARTICLE IN A BOX, PARTICLE IN ATTRACTIVE DELTA-FUNCTION POTENTIAL,  SQUARE-WELL POTENTIAL, LINEAR HARMONIC OSCILLATOR. SCATTERING FROM A POTENTIAL  BARRIER AND TUNNELING; RELATED EXAMPLES LIKE ALPHA- DECAY, FIELD-IONIZATION AND  SCANNING TUNNELING MICROSCOPE, TUNNELING IN SEMICONDUCTOR STRUCTURES. THREE 

DIMENSIONAL PROBLEMS: PARTICLE IN THREE DIMENSIONAL BOX AND RELATED EXAMPLES. MODULE 8: INTRODUCTION TO SOLIDS AND SEMICONDUCTORS (9 LECTURES) 

FREE ELECTRON THEORY OF METALS, FERMI LEVEL, DENSITY OF STATES IN 1, 2  AND 3 DIMENSIONS, BLOCH’S THEOREM FOR PARTICLES IN A PERIODIC POTENTIAL, KRONIG PENNEY MODEL AND ORIGIN OF ENERGY BANDS. 

TYPES OF ELECTRONIC MATERIALS: METALS, SEMICONDUCTORS, AND INSULATORS.  INTRINSIC AND EXTRINSIC SEMICONDUCTORS, DEPENDENCE OF FERMI LEVEL ON CARRIER CONCENTRATION AND TEMPERATURE (EQUILIBRIUM CARRIER STATISTICS), CARRIER  GENERATION AND RECOMBINATION, CARRIER TRANSPORT: DIFFUSION AND DRIFT, P -N  JUNCTION. 

TEXT / REFERENCES: 

🕮 G. MAIN, “VIBRATIONS AND WAVES IN PHYSICS”, CAMBRIDGE UNIVERSITY PRESS,  1993. 

🕮 H. J. PAIN, “THE PHYSICS OF VIBRATIONS AND WAVES”, WILEY, 2006. 🕮 E. HECHT, “OPTICS”, PEARSON EDUCATION, 2008. 

🕮 A. GHATAK, “OPTICS”, MCGRAW HILL EDUCATION, 2012. 

🕮 O. SVELTO, “PRINCIPLES OF LASERS”, SPRINGER SCIENCE & BUSINESS MEDIA,  2010. 

🕮 D. J. GRIFFITHS, “QUANTUM MECHANICS”, PEARSON EDUCATION, 2014. 🕮 R. ROBINETT, “QUANTUM MECHANICS”, OUP OXFORD, 2006. 

🕮 D. MCQUARRIE, “UANTUM CHEMISTRY”, UNIVERSITY SCIENCE BOOKS, 2007. 🕮 D. A. NEAMEN, “SEMICONDUCTOR PHYSICS AND DEVICES”, TIMES MIRROR HIGH  EDUCATION GROUP, CHICAGO, 1997. 

🕮 E.S. YANG, “MICROELECTRONIC DEVICES”, MCGRAW HILL, SINGAPORE, 1988. 🕮 B.G. STREETMAN, “ SOLID STATE ELECTRONIC DEVICES”, PRENTICE HALL OF INDIA,  1995 

LABORATORY – 

──── ──── ────

27 | P a g e B A C K 

[AKU-PATNA] [103 –EE || 110 – EEE || 104 – ECE] 

PAPER CODE - 103102 

BSC 

MATHEMATICS –I (CALCULUS AND  DIFFERENTIAL EQUATIONS) 

L:3 

T:1 

P:0 

CREDIT:4



CONTENTS 

MODULE 1: CALCULUS (8 LECTURES) 

EVOLUTES AND INVOLUTES; EVALUATION OF DEFINITE AND IMPROPER INTEGRALS;  BETA AND GAMMA FUNCTIONS AND THEIR PROPERTIES; APPLICATIONS OF DEFINITE  INTEGRALS TO EVALUATE SURFACE AREAS AND VOLUMES OF REVOLUTIONS. ROLLE’S THEOREM, MEAN VALUE THEOREMS, TAYLOR’S AND MACLAURIN THEOREMS WITH REMAINDERS;  INDETERMINATE FORMS AND L'HOSPITAL'S RULE; MAXIMA AND MINIMA. 

MODULE 2: SEQUENCES AND SERIES (7 LECTURES) 

CONVERGENCE OF SEQUENCE AND SERIES, TESTS FOR CONVERGENCE, POWER SERIES,  TAYLOR'S SERIES. SERIES FOR EXPONENTIAL, TRIGONOMETRIC AND LOGARITHMIC  FUNCTIONS; FOURIER SERIES: HALF RANGE SINE AND COSINE SERIES, PARSEVAL’S THEOREM. 

MODULE 3: MULTIVARIABLE CALCULUS: DIFFERENTIATION (6 LECTURES) 

LIMIT, CONTINUITY AND PARTIAL DERIVATIVES, DIRECTIONAL DERIVATIVES, TOTAL  DERIVATIVE; TANGENT PLANE AND NORMAL LINE; MAXIMA, MINIMA AND SADDLE POINTS;  METHOD OF LAGRANGE MULTIPLIERS; GRADIENT, CURL AND DIVERGENCE. 

MODULE 4: MULTIVARIABLE CALCULUS: INTEGRATION (7 LECTURES) 

MULTIPLE INTEGRATION: DOUBLE AND TRIPLE INTEGRALS (CARTESIAN AND POLAR),  CHANGE OF ORDER OF INTEGRATION IN DOUBLE INTEGRALS, CHANGE OF VARIABLES  (CARTESIAN TO POLAR), APPLICATIONS: AREAS AND VOLUMES BY (DOUBLE INTEGRATION)  CENTER OF MASS AND GRAVITY (CONSTANT AND VARIABLE DENSITIES). THEOREMS OF GREEN,  GAUSS AND STOKES, ORTHOGONAL CURVILINEAR COORDINATES, SIMPLE APPLICATIONS  INVOLVING CUBES, SPHERE AND RECTANGULAR PARALLELEPIPEDS. 

MODULE 5: FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS (3 LECTURES) 

EXACT, LINEAR AND BERNOULLI’S EQUATIONS, EULER’S EQUATIONS, EQUATIONS NOT  OF FIRST DEGREE: EQUATIONS SOLVABLE FOR P, EQUATIONS SOLVABLE FOR Y, EQUATIONS  SOLVABLE FOR X AND CLAIRAUT’S TYPE.

28 | P a g e B A C K 

[AKU-PATNA] [103 –EE || 110 – EEE || 104 – ECE] 

MODULE 6: ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER ORDER (6 LECTURES) 

SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS,  METHOD OF VARIATION OF PARAMETERS, CAUCHY-EULER EQUATION; POWER SERIES  SOLUTIONS; LEGENDRE POLYNOMIALS, BESSEL FUNCTIONS OF THE FIRST KIND AND THEIR  PROPERTIES. 

MODULE 7: PARTIAL DIFFERENTIAL EQUATIONS: FIRST ORDER (3 LECTURES) 

FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS, SOLUTIONS OF FIRST ORDER  LINEAR AND NON-LINEAR PDES. 

TEXT / REFERENCES: 

🕮 G.B. THOMAS AND R.L. FINNEY, “CALCULUS AND ANALYTIC GEOMETRY”, PEARSON,  2002. 

🕮 T. VEERARAJAN, “ENGINEERING MATHEMATICS”, MCGRAW-HILL, NEW DELHI, 2008. 🕮 B. V. RAMANA, “HIGHER ENGINEERING MATHEMATICS”, MCGRAW HILL, NEW DELHI,  2010. 

🕮 N.P. BALI AND M. GOYAL, “A TEXT BOOK OF ENGINEERING MATHEMATICS”, LAXMI  PUBLICATIONS, 2010. 

🕮 B.S. GREWAL, “HIGHER ENGINEERING MATHEMATICS”, KHANNA PUBLISHERS, 2000. 🕮 E. KREYSZIG, “ADVANCED ENGINEERING MATHEMATICS”, JOHN WILEY & SONS, 2006. 🕮 W. E. BOYCE AND R. C. DIPRIMA, “ELEMENTARY DIFFERENTIAL EQUATIONS AND  BOUNDARY VALUE PROBLEMS”, WILEY INDIA, 2009. 

🕮 S. L. ROSS, “DIFFERENTIAL EQUATIONS”, WILEY INDIA, 1984. 

🕮 E. A. CODDINGTON, “AN INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS”, PRENTICE HALL INDIA, 1995. 

🕮 E. L. INCE, “ORDINARY DIFFERENTIAL EQUATIONS”, DOVER PUBLICATIONS, 1958. 🕮 G.F. SIMMONS AND S.G. KRANTZ, “DIFFERENTIAL EQUATIONS”, MCGRAW HILL, 2007. 

──── ──── ────

29 | P a g e B A C K 

[AKU-PATNA] [103 –EE || 110 – EEE || 104 – ECE] 

PAPER CODE - 103202 

BSC 

MATHEMATICS –II (LINEAR ALGEBRA,  TRANSFORM CALCULUS AND NUMERICAL METHODS)

L:3 

T:1 

P:0 

CREDIT:4



MODULE 1: MATRICES (10 LECTURES) 

ALGEBRA OF MATRICES, INVERSE AND RANK OF A MATRIX, RANK-NULLITY THEOREM;  SYSTEM OF LINEAR EQUATIONS; SYMMETRIC, SKEW-SYMMETRIC AND ORTHOGONAL MATRICES;  DETERMINANTS; EIGENVALUES AND EIGENVECTORS; DIAGONALIZATION OF MATRICES;  CAYLEY-HAMILTON THEOREM, ORTHOGONAL TRANSFORMATION AND QUADRATIC TO CANONICAL  FORMS. 

MODULE 2: NUMERICAL METHODS-I (10 LECTURES) 

SOLUTION OF POLYNOMIAL AND TRANSCENDENTAL EQUATIONS – BISECTION METHOD,  NEWTON-RAPHSON METHOD AND REGULA-FALSI METHOD. FINITE DIFFERENCES,  INTERPOLATION USING NEWTON’S FORWARD AND BACKWARD DIFFERENCE FORMULAE. CENTRAL  DIFFERENCE INTERPOLATION: GAUSS’S FORWARD AND BACKWARD FORMULAE. NUMERICAL  INTEGRATION: TRAPEZOIDAL RULE AND SIMPSON’S 1/3RD AND 3/8 RULES. 

MODULE 3: NUMERICAL METHODS-II (10 LECTURES) 

ORDINARY DIFFERENTIAL EQUATIONS: TAYLOR’S SERIES, EULER AND MODIFIED  EULER’S METHODS. RUNGE- KUTTA METHOD OF FOURTH ORDER FOR SOLVING FIRST AND SECOND ORDER EQUATIONS. MILNE’S AND ADAM’S PREDICATOR-CORRECTOR METHODS.  PARTIAL DIFFERENTIAL EQUATIONS: FINITE DIFFERENCE SOLUTION TWO DIMENSIONAL  LAPLACE EQUATION AND POISSON EQUATION, IMPLICIT AND EXPLICIT METHODS FOR ONE  DIMENSIONAL HEAT EQUATION (BENDER-SCHMIDT AND CRANK-NICHOLSON METHODS), FINITE  DIFFERENCE EXPLICIT METHOD FOR WAVE EQUATION. 

MODULE 4: TRANSFORM CALCULUS (10 LECTURES) 

LAPLACE TRANSFORM, PROPERTIES OF LAPLACE TRANSFORM, LAPLACE TRANSFORM OF  PERIODIC FUNCTIONS. FINDING INVERSE LAPLACE TRANSFORM BY DIFFERENT METHODS,  CONVOLUTION THEOREM. EVALUATION OF INTEGRALS BY LAPLACE TRANSFORM, SOLVING ODES  AND PDES BY LAPLACE TRANSFORM METHOD. FOURIER TRANSFORMS. 

TEXT / REFERENCES: 

🕮 D. POOLE, “LINEAR ALGEBRA: A MODERN INTRODUCTION”, BROOKS/COLE, 2005. 🕮 N.P. BALI AND M. GOYAL, “A TEXT BOOK OF ENGINEERING MATHEMATICS”, LAXMI  PUBLICATIONS, 2008. 

🕮 B.S. GREWAL, “HIGHER ENGINEERING MATHEMATICS”, KHANNA PUBLISHERS, 2010. 🕮 V. KRISHNAMURTHY, V. P. MAINRA AND J. L. ARORA, “AN INTRODUCTION TO LINEAR  ALGEBRA”, AFFILIATED EAST-WEST PRESS, 2005. 

──── ──── ────

30 | P a g e B A C K 

[AKU-PATNA] [000 – COMMON PAPERS (ALL BRANCH)] 

CURRICULUM 

FOR 

COMMON PAPERS (ALL BRANCH) 

SEMESTER – I 

Sl.  

No.

Paper  

Code 

Paper Title 

Credits

GROUP - A

100101 

Basic Electrical Engineering 

5

100102 

Engineering Graphics & Design 

3

GROUP - B

100103 

Chemistry 

5.5

100104 

Programming for Problem Solving 

5

100105 

Workshop Manufacturing Practices 

3

100106 

English 

3



SEMESTER – II 

Sl.  

No.

Paper  

Code 

Paper Title 

Credits

GROUP - B 

100201 

Basic Electrical Engineering 

5

100202 

Engineering Graphics & Design 

3

GROUP - A

100203 

Chemistry 

5.5

100204 

Programming for Problem Solving 

5

100205 

Workshop Manufacturing Practices 

3

100206 

English 

3



DEFINITION OF CREDIT

Hour 

Component 

Credit

Lecture (L) per week 

1

Tutorial (T) per week 

1

Practical (P) per week 

0.5



31 | P a g e B A C K 

[AKU-PATNA] [000 – COMMON PAPERS (ALL BRANCH)] 

PAPER CODE – 100101 || 100201 

ESC 

BASIC ELECTRICAL ENGINEERING 

L:3 

T:1 

P:2 

CREDIT:5



MODULE 1: DC CIRCUITS (8 LECTURES) 

ELECTRICAL CIRCUIT ELEMENTS (R, L AND C), VOLTAGE AND CURRENT SOURCES,  KIRCHHOFF CURRENT AND VOLTAGE LAWS, ANALYSIS OF SIMPLE CIRCUITS WITH DC  EXCITATION. STAR-DELTA CONVERSION, NETWORK THEOREMS (SUPERPOSITION, THEVENIN,  NORTON AND MAXIMUM POWER TRANSFER THEOREMS). TIME-DOMAIN ANALYSIS OF FIRST 

ORDER RL AND RC CIRCUITS 

MODULE 2: AC CIRCUITS (8 LECTURES) 

REPRESENTATION OF SINUSOIDAL WAVEFORMS, PEAK, RMS AND AVERAGE VALUES (FORM  FACTOR AND PEAK FACTOR), IMPEDANCE OF SERIES AND PARALLEL CIRCUIT, PHASOR  REPRESENTATION, REAL POWER, REACTIVE POWER, APPARENT POWER, POWER FACTOR, POWER  TRIANGLE. ANALYSIS OF SINGLE-PHASE AC CIRCUITS CONSISTING OF R, L, C, RL, RC,  RLC COMBINATIONS (SERIES AND PARALLEL), RESONANCE. THREE-PHASE BALANCED  CIRCUITS, VOLTAGE AND CURRENT RELATIONS IN STAR AND DELTA CONNECTIONS. 

MODULE 3: MAGNETIC CIRCUITS: (4 LECTURES) 

INTRODUCTION, SERIES AND PARALLEL MAGNETIC CIRCUITS, ANALYSIS OF SERIES  AND PARALLEL MAGNETIC CIRCUITS. 

MODULE 4: TRANSFORMERS (6 LECTURES) 

MAGNETIC MATERIALS, BH CHARACTERISTICS, IDEAL AND PRACTICAL TRANSFORMER,  EMF EQUATION, EQUIVALENT CIRCUIT, LOSSES IN TRANSFORMERS, REGULATION AND  EFFICIENCY. AUTO-TRANSFORMER AND THREE-PHASE TRANSFORMER CONNECTIONS. 

MODULE 5: ELECTRICAL MACHINES (10 LECTURES) 

CONSTRUCTION, WORKING, TORQUE-SPEED CHARACTERISTIC AND SPEED CONTROL OF SEPARATELY EXCITED DC MOTOR. GENERATION OF ROTATING MAGNETIC FIELDS,  CONSTRUCTION AND WORKING OF A THREE-PHASE INDUCTION MOTOR, SIGNIFICANCE OF  TORQUE-SLIP CHARACTERISTIC. LOSS COMPONENTS AND EFFICIENCY, STARTING AND SPEED  CONTROL OF INDUCTION MOTOR. CONSTRUCTION AND WORKING OF SYNCHRONOUS GENERATORS. 

MODULE 6: ELECTRICAL INSTALLATIONS (6 LECTURES) 

COMPONENTS OF LT SWITCHGEAR: SWITCH FUSE UNIT (SFU), MCB, ELCB, MCCB,  TYPES OF WIRES AND CABLES, EARTHING. TYPES OF BATTERIES, IMPORTANT 

32 | P a g e B A C K 

[AKU-PATNA] [000 – COMMON PAPERS (ALL BRANCH)] 

CHARACTERISTICS FOR BATTERIES. ELEMENTARY CALCULATIONS FOR ENERGY CONSUMPTION,  POWER FACTOR IMPROVEMENT AND BATTERY BACKUP. 

SUGGESTED TEXT / REFERENCE BOOKS 

🕮 D. P. KOTHARI AND I. J. NAGRATH, “BASIC ELECTRICAL ENGINEERING”, TATA  MCGRAW HILL, 2010. 

🕮 D. C. KULSHRESHTHA, “BASIC ELECTRICAL ENGINEERING”, MCGRAW HILL, 2009. 🕮 L. S. BOBROW, “FUNDAMENTALS OF ELECTRICAL ENGINEERING”, OXFORD  UNIVERSITY PRESS, 2011. 

🕮 E. HUGHES, “ELECTRICAL AND ELECTRONICS TECHNOLOGY”, PEARSON, 2010. 🕮 V. D. TORO, “ELECTRICAL ENGINEERING FUNDAMENTALS”, PRENTICE HALL INDIA,  1989. 

🕮 BASIC ELECTRICAL ENGINEERING BY FITZERALD, ET AL, TATA MCGRAW HILL 🕮 FUNDAMENTALS OF ELECTRICAL ENGG. BY R. PRASAD, PHI PUBLICATION 🕮 BASIC ELECTRICAL ENGINEERING BY V.K. MEHTA AND ROHIT MEHTA, S.CHAND  PUBLICATION 

COURSE OUTCOMES 

TO UNDERSTAND AND ANALYZE BASIC ELECTRIC AND MAGNETIC CIRCUITS TO STUDY THE WORKING PRINCIPLES OF ELECTRICAL MACHINES AND POWER  CONVERTERS. 

TO INTRODUCE THE COMPONENTS OF LOW VOLTAGE ELECTRICAL INSTALLATIONS  LABORATORY 

LIST OF EXPERIMENTS/DEMONSTRATIONS 

BASIC SAFETY PRECAUTIONS. INTRODUCTION AND USE OF MEASURING INSTRUMENTS  – VOLTMETER, AMMETER, MULTI-METER, OSCILLOSCOPE. REAL-LIFE RESISTORS,  CAPACITORS AND INDUCTORS. 

MEASURING THE STEADY-STATE AND TRANSIENT TIME-RESPONSE OF R-L, R-C, AND  R-L-C CIRCUITS TO A STEP CHANGE IN VOLTAGE (TRANSIENT MAY BE OBSERVED ON  A STORAGE OSCILLOSCOPE). SINUSOIDAL STEADY STATE RESPONSE OF R-L, AND R C CIRCUITS – IMPEDANCE CALCULATION AND VERIFICATION. OBSERVATION OF PHASE DIFFERENCES BETWEEN CURRENT AND VOLTAGE. RESONANCE IN R-L-C CIRCUITS. 

TRANSFORMERS: OBSERVATION OF THE NO-LOAD CURRENT WAVEFORM ON AN  OSCILLOSCOPE (NON- SINUSOIDAL WAVE-SHAPE DUE TO B-H CURVE NONLINEARITY SHOULD BE SHOWN ALONG WITH A DISCUSSION ABOUT HARMONICS). LOADING OF A  TRANSFORMER: MEASUREMENT OF PRIMARY AND SECONDARY VOLTAGES AND CURRENTS,  AND POWER. 

THREE-PHASE TRANSFORMERS: STAR AND DELTA CONNECTIONS. VOLTAGE  AND CURRENT RELATIONSHIPS (LINE-LINE VOLTAGE, PHASE-TO-NEUTRAL VOLTAGE,  LINE AND PHASE CURRENTS). PHASE-SHIFTS BETWEEN THE PRIMARY AND SECONDARY SIDE. CUMULATIVE THREE-PHASE POWER IN BALANCED THREE-PHASE CIRCUITS. 

DEMONSTRATION OF CUT-OUT SECTIONS OF MACHINES: DC MACHINE (COMMUTATOR BRUSH ARRANGEMENT), INDUCTION MACHINE (SQUIRREL CAGE ROTOR), SYNCHRONOUS  MACHINE (FIELD WINGING - SLIP RING ARRANGEMENT) AND SINGLE-PHASE INDUCTION  MACHINE. 

TORQUE SPEED CHARACTERISTIC OF SEPARATELY EXCITED DC MOTOR. SYNCHRONOUS SPEED OF TWO AND FOUR-POLE, THREE-PHASE INDUCTION MOTORS.  DIRECTION REVERSAL BY CHANGE OF PHASE-SEQUENCE OF CONNECTIONS. TORQUE-

33 | P a g e B A C K 

[AKU-PATNA] [000 – COMMON PAPERS (ALL BRANCH)] 

SLIP CHARACTERISTIC OF AN INDUCTION MOTOR. GENERATOR OPERATION OF AN  INDUCTION MACHINE DRIVEN AT SUPER- SYNCHRONOUS SPEED. 

SYNCHRONOUS MACHINE OPERATING AS A GENERATOR: STAND-ALONE OPERATION WITH A LOAD. CONTROL OF VOLTAGE THROUGH FIELD EXCITATION. 

DEMONSTRATION OF (A) DC-DC CONVERTERS (B) DC-AC CONVERTERS – PWM WAVEFORM  (C) THE USE OF DC-AC CONVERTER FOR SPEED CONTROL OF AN INDUCTION MOTOR AND (D) COMPONENTS OF LT SWITCHGEAR. 

LABORATORY OUTCOMES 

GET AN EXPOSURE TO COMMON ELECTRICAL COMPONENTS AND THEIR RATINGS. MAKE ELECTRICAL CONNECTIONS BY WIRES OF APPROPRIATE RATINGS. UNDERSTAND THE USAGE OF COMMON ELECTRICAL MEASURING INSTRUMENTS. UNDERSTAND THE BASIC CHARACTERISTICS OF TRANSFORMERS AND ELECTRICAL  MACHINES. 

GET AN EXPOSURE TO THE WORKING OF POWER ELECTRONIC CONVERTERS ──── ──── ────

34 | P a g e B A C K 

[AKU-PATNA] [000 – COMMON PAPERS (ALL BRANCH)] 

PAPER CODE – 100102 || 100202 

ESC 

ENGINEERING GRAPHICS & DESIGN 

L:1 

T:0 

P:4 

CREDIT:3



TRADITIONAL ENGINEERING GRAPHICS: 

PRINCIPLES OF ENGINEERING GRAPHICS; ORTHOGRAPHIC PROJECTION; DESCRIPTIVE  GEOMETRY; DRAWING PRINCIPLES; ISOMETRIC PROJECTION; SURFACE DEVELOPMENT;  PERSPECTIVE; READING A DRAWING; SECTIONAL VIEWS; DIMENSIONING & TOLERANCES;  TRUE LENGTH, ANGLE; INTERSECTION, SHORTEST DISTANCE.  

COMPUTER GRAPHICS: 

ENGINEERING GRAPHICS SOFTWARE; -SPATIAL TRANSFORMATIONS; ORTHOGRAPHIC  PROJECTIONS; MODEL VIEWING; CO-ORDINATE SYSTEMS; MULTI-VIEW PROJECTION;  EXPLODED ASSEMBLY; MODEL VIEWING; ANIMATION; SPATIAL MANIPULATION; SURFACE MODELLING; SOLID MODELLING, INTRODUCTION TO BUILDING INFORMATION MODELLING  (BIM). 

(EXCEPT THE BASIC ESSENTIAL CONCEPTS, MOST OF THE TEACHING PART CAN HAPPEN  CONCURRENTLY IN THE LABORATORY) 

MODULE 1: INTRODUCTION TO ENGINEERING DRAWING 

PRINCIPLES OF ENGINEERING GRAPHICS AND THEIR SIGNIFICANCE, USAGE OF  DRAWING INSTRUMENTS, LETTERING, CONIC SECTIONS INCLUDING THE RECTANGULAR  HYPERBOLA (GENERAL METHOD ONLY); CYCLOID, EPICYCLOID, HYPOCYCLOID AND INVOLUTE;  SCALES – PLAIN, DIAGONAL AND VERNIER SCALES 

MODULE 2: ORTHOGRAPHIC PROJECTIONS 

PRINCIPLES OF ORTHOGRAPHIC PROJECTIONS-CONVENTIONS -PROJECTIONS OF POINTS  AND LINES INCLINED TO BOTH PLANES; PROJECTIONS OF PLANES INCLINED PLANES - AUXILIARY PLANES 

MODULE 3: PROJECTIONS OF REGULAR SOLIDS 

THOSE INCLINED TO BOTH THE PLANES- AUXILIARY VIEWS; DRAW SIMPLE ANNOTATION, DIMENSIONING AND SCALE. FLOOR PLANS THAT INCLUDE: WINDOWS, DOORS, AND FIXTURES  SUCH AS WC, BATH, SINK, SHOWER, ETC.  

MODULE 4: SECTIONS AND SECTIONAL VIEWS OF RIGHT ANGULAR SOLIDS COVERING, PRISM, CYLINDER, PYRAMID, CONE – AUXILIARY VIEWS; DEVELOPMENT  OF SURFACES OF RIGHT REGULAR SOLIDS- PRISM, PYRAMID, CYLINDER AND CONE; DRAW  THE SECTIONAL ORTHOGRAPHIC VIEWS OF GEOMETRICAL SOLIDS, OBJECTS FROM INDUSTRY  AND DWELLINGS (FOUNDATION TO SLAB ONLY)  

MODULE 5: ISOMETRIC PROJECTIONS

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PRINCIPLES OF ISOMETRIC PROJECTION – ISOMETRIC SCALE, ISOMETRIC VIEWS,  CONVENTIONS; ISOMETRIC VIEWS OF LINES, PLANES, SIMPLE AND COMPOUND SOLIDS;  CONVERSION OF ISOMETRIC VIEWS TO ORTHOGRAPHIC VIEWS AND VICE-VERSA, CONVENTIONS 

MODULE 6: OVERVIEW OF COMPUTER GRAPHICS 

LISTING THE COMPUTER TECHNOLOGIES THAT IMPACT ON GRAPHICAL COMMUNICATION,  DEMONSTRATING KNOWLEDGE OF THE THEORY OF CAD SOFTWARE [SUCH AS: THE MENU SYSTEM,  TOOLBARS (STANDARD, OBJECT PROPERTIES, DRAW, MODIFY AND DIMENSION), DRAWING  AREA (BACKGROUND, CROSSHAIRS, COORDINATE SYSTEM), DIALOG BOXES AND WINDOWS,  SHORTCUT MENUS (BUTTON BARS), THE COMMAND LINE (WHERE APPLICABLE), THE STATUS  BAR, DIFFERENT METHODS OF ZOOM AS USED IN CAD, SELECT AND ERASE OBJECTS.;  ISOMETRIC VIEWS OF LINES, PLANES, SIMPLE AND COMPOUND SOLIDS] 

MODULE 7: CUSTOMISATION& CAD DRAWING  

CONSISTING OF SET UP OF THE DRAWING PAGE AND THE PRINTER, INCLUDING SCALE  SETTINGS, SETTING UP OF UNITS AND DRAWING LIMITS; ISO AND ANSI STANDARDS FOR  COORDINATE DIMENSIONING AND TOLERANCING; ORTHOGRAPHIC CONSTRAINTS, SNAP TO  OBJECTS MANUALLY AND AUTOMATICALLY; PRODUCING DRAWINGS BY USING VARIOUS  COORDINATE INPUT ENTRY METHODS TO DRAW STRAIGHT LINES, APPLYING VARIOUS WAYS OF  DRAWING CIRCLES. 

MODULE 8: ANNOTATIONS, LAYERING & OTHER FUNCTIONS 

COVERING APPLYING DIMENSIONS TO OBJECTS, APPLYING ANNOTATIONS TO  DRAWINGS; SETTING UP AND USE OF LAYERS, LAYERS TO CREATE DRAWINGS, CREATE, EDIT  AND USE CUSTOMIZED LAYERS; CHANGING LINE LENGTHS THROUGH MODIFYING EXISTING  LINES (EXTEND/LENGTHEN); PRINTING DOCUMENTS TO PAPER USING THE PRINT COMMAND;  ORTHOGRAPHIC PROJECTION TECHNIQUES; DRAWING SECTIONAL VIEWS OF COMPOSITE RIGHT  REGULAR GEOMETRIC SOLIDS AND PROJECT THE TRUE SHAPE OF THE SECTIONED SURFACE;  DRAWING ANNOTATION, COMPUTER-AIDED DESIGN (CAD) SOFTWARE MODELING OF PARTS AND  ASSEMBLIES. PARAMETRIC AND NON-PARAMETRIC SOLID, SURFACE, AND WIREFRAME MODELS.  PART EDITING AND TWO-DIMENSIONAL DOCUMENTATION OF MODELS. PLANAR PROJECTION  THEORY, INCLUDING SKETCHING OF PERSPECTIVE, ISOMETRIC, MULTIVIEW, AUXILIARY,  AND SECTION VIEWS. SPATIAL VISUALIZATION EXERCISES. DIMENSIONING GUIDELINES,  TOLERANCING TECHNIQUES; DIMENSIONING AND SCALE MULTI VIEWS OF DWELLING. 

MODULE 9: DEMONSTRATION OF A SIMPLE TEAM DESIGN PROJECT THAT ILLUSTRATES GEOMETRY AND TOPOLOGY OF ENGINEERED COMPONENTS: CREATION OF ENGINEERING  MODELS AND THEIR PRESENTATION IN STANDARD 2D BLUEPRINT FORM AND AS 3D WIRE FRAME AND SHADED SOLIDS; MESHED TOPOLOGIES FOR ENGINEERING ANALYSIS AND TOOL PATH GENERATION FOR COMPONENT MANUFACTURE; GEOMETRIC DIMENSIONING AND  TOLERANCING; USE OF SOLID-MODELING SOFTWARE FOR CREATING ASSOCIATIVE MODELS AT  THE COMPONENT AND ASSEMBLY LEVELS. FLOOR PLANS THAT INCLUDE: WINDOWS, DOORS,  AND FIXTURES SUCH AS WC, BATH, SINK, SHOWER, ETC. APPLYING COLOUR CODING 

36 | P a g e B A C K 

[AKU-PATNA] [000 – COMMON PAPERS (ALL BRANCH)] 

ACCORDING TO BUILDING DRAWING PRACTICE; DRAWING SECTIONAL ELEVATION SHOWING  FOUNDATION TO CEILING; INTRODUCTION TO BUILDING INFORMATION MODELLING (BIM).  

SUGGESTED TEXT/REFERENCE BOOKS:  

🕮 BHATT N.D., PANCHAL V.M. & INGLE P.R., (2014), ENGINEERING DRAWING, CHAROTAR PUBLISHING HOUSE  

🕮 SHAH, M.B. &RANA B.C. (2008), ENGINEERING DRAWING AND COMPUTER GRAPHICS,  PEARSON EDUCATION  

🕮 AGRAWAL B. & AGRAWAL C. M. (2012), ENGINEERING GRAPHICS, TMH PUBLICATION 🕮 NARAYANA, K.L. & P KANNAIAH (2008), TEXT BOOK ON ENGINEERING DRAWING,  SCITECHPUBLISHERS  

🕮 (CORRESPONDING SET OF) CAD SOFTWARE THEORY AND USER MANUALS  

COURSE OUTCOMES  

ALL PHASES OF MANUFACTURING OR CONSTRUCTION REQUIRE THE CONVERSION OF NEW  IDEAS AND DESIGN CONCEPTS INTO THE BASIC LINE LANGUAGE OF GRAPHICS. THEREFORE,  THERE ARE MANY AREAS (CIVIL, MECHANICAL, ELECTRICAL, ARCHITECTURAL AND  INDUSTRIAL) IN WHICH THE SKILLS OF THE CAD TECHNICIANS PLAY MAJOR ROLES IN THE  DESIGN AND DEVELOPMENT OF NEW PRODUCTS OR CONSTRUCTION. STUDENTS PREPARE FOR  ACTUAL WORK SITUATIONS THROUGH PRACTICAL TRAINING IN A NEW STATE-OF-THE-ART  COMPUTER DESIGNED CAD LABORATORY USING ENGINEERING SOFTWARE 

THIS COURSE IS DESIGNED TO ADDRESS:  

TO PREPARE YOU TO DESIGN A SYSTEM, COMPONENT, OR PROCESS TO MEET DESIRED  NEEDS WITHIN REALISTIC CONSTRAINTS SUCH AS ECONOMIC, ENVIRONMENTAL,  SOCIAL, POLITICAL, ETHICAL, HEALTH AND SAFETY, MANUFACTURABILITY, AND  SUSTAINABILITY  

TO PREPARE YOU TO COMMUNICATE EFFECTIVELY 

TO PREPARE YOU TO USE THE TECHNIQUES, SKILLS, AND MODERN ENGINEERING TOOLS  NECESSARY FOR ENGINEERING PRACTICE  

THE STUDENT WILL LEARN: 

INTRODUCTION TO ENGINEERING DESIGN AND ITS PLACE IN SOCIETY EXPOSURE TO THE VISUAL ASPECTS OF ENGINEERING DESIGN 

EXPOSURE TO ENGINEERING GRAPHICS STANDARDS 

EXPOSURE TO SOLID MODELLING 

EXPOSURE TO COMPUTER-AIDED GEOMETRIC DESIGN 

EXPOSURE TO CREATING WORKING DRAWINGS 

EXPOSURE TO ENGINEERING COMMUNICATION 

──── ──── ────

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[AKU-PATNA] [000 – COMMON PAPERS (ALL BRANCH)] 

PAPER CODE – 100103 || 100203 

BSC 

CHEMISTRY 

L:3 

T:1 

P:3 

CREDIT 5.5



MODULE 1: ATOMIC AND MOLECULAR STRUCTURE (10 LECTURES) 

FAILURE OF CLASSICAL NEWTONIAN AND MAXWELL WAVE MECHANICS TO EXPLAIN  PROPERTIES OF PARTICLES AT ATOMIC AND SUB-ATOMIC LEVEL; ELECTROMAGNETIC  RADIATION, DUAL NATURE OF ELECTRON AND ELECTROMAGNETIC RADIATION, PLANK’S THEORY,  PHOTOELECTRIC EFFECT AND HEISENBERG UNCERTAINTY PRINCIPLE. FAILURE OF EARLIER  THEORIES TO EXPLAIN CERTAIN PROPERTIES OF MOLECULES LIKE PARAMAGNETIC PROPERTIES.  PRINCIPLES FOR COMBINATION OF ATOMIC ORBITALS TO FORM MOLECULAR ORBITALS.  FORMATION OF HOMO AND HETERO DIATOMIC MOLECULES AND PLOTS OF ENERGY LEVEL  DIAGRAM OF MOLECULAR ORBITALS. COORDINATION NUMBERS AND GEOMETRIES, ISOMERISM  IN TRANSITIONAL METAL COMPOUNDS, CRYSTAL FIELD THEORY AND THE ENERGY LEVEL  DIAGRAMS FOR TRANSITION METAL IONS AND THEIR MAGNETIC PROPERTIES.  

MODULE 2: SPECTROSCOPIC TECHNIQUES AND APPLICATIONS (8 LECTURES) PRINCIPLES OF VIBRATIONAL AND ROTATIONAL SPECTROSCOPY AND SELECTION RULES  FOR APPLICATION IN DIATOMIC MOLECULES. ELEMENTARY IDEA OF ELECTRONIC  SPECTROSCOPY. UV-VIS SPECTROSCOPY WITH RELATED RULES AND ITS APPLICATIONS.  FLUORESCENCE AND ITS APPLICATIONS IN MEDICINE. BASIC PRINCIPLE OF NUCLEAR  MAGNETIC RESONANCE AND ITS APPLICATION. BASICS OF MAGNETIC RESONANCE IMAGING. 

MODULE 3: INTERMOLECULAR FORCES AND PROPERTIES OF GASES (4 LECTURES) IONIC, DIPOLAR AND VAN DER WAALS INTERACTIONS. EQUATIONS OF STATE OF IDEAL  AND REAL GASES, DEVIATION FROM IDEAL BEHAVIOUR. VANDER WAAL GAS EQUATION. 

MODULE 4: USE OF FREE ENERGY IN CHEMICAL EQUILIBRIA & WATER CHEMISTRY (8  LECTURES) 

THERMODYNAMIC FUNCTIONS: ENERGY, ENTHALPY ENTROPY AND FREE ENERGY.  EQUATIONS TO INTERRELATE THERMODYNAMIC PROPERTIES. FREE ENERGY, EMF. AND CELL  POTENTIALS, THE NERNST EQUATION AND APPLICATIONS. CORROSION. USE OF FREE ENERGY  CONSIDERATIONS IN METALLURGY THROUGH ELLINGHAM DIAGRAMS. SOLUBILITY EQUILIBRIA. 

WATER CHEMISTRY, HARD AND SOFT WATER. PARAMETERS OF QUALITY OF WATER TO  BE USED IN DIFFERENT INDUSTRIES AS FOR DRINKING WATER. CALCULATION OF HARDNESS  OF WATER IN ALL UNITS. ESTIMATION OF HARDNESS USING EDTA AND ALKALINITY METHOD.  REMOVAL OF HARDNESS BY SODA LIME AND ION EXCHANGE METHOD INCLUDING ZEOLITE  METHOD 

MODULE 5: PERIODIC PROPERTIES (4 LECTURES) 

EFFECTIVE NUCLEAR CHARGE, PENETRATION OF ORBITALS, VARIATIONS OF S, P, D  AND F ORBITAL ENERGIES OF ATOMS IN THE PERIODIC TABLE, ELECTRONIC CONFIGURATIONS, 

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[AKU-PATNA] [000 – COMMON PAPERS (ALL BRANCH)] 

ATOMIC AND IONIC SIZES, IONIZATION ENERGIES, ELECTRON AFFINITY AND  ELECTRONEGATIVITY, POLARIZABILITY, ACID, BASE, PRINCIPLE OF HSAB THEORY,  OXIDATION STATES, HYBRIDIZATION AND MOLECULAR GEOMETRIES. 

MODULE 6: STEREOCHEMISTRY (4 LECTURES) 

REPRESENTATIONS OF 3-D STRUCTURES, STRUCTURAL ISOMERS AND STEREOISOMERS,  CONFIGURATIONS AND SYMMETRY AND CHIRALITY, ENANTIOMERS, DIASTEREOMERS, OPTICAL  ACTIVITY, ABSOLUTE CONFIGURATIONS AND CONFORMATIONAL ANALYSIS. 

MODULE 7: ORGANIC REACTIONS AND SYNTHESIS OF A DRUG MOLECULE (4 LECTURES) INTRODUCTION TO INTERMEDIATES AND REACTIONS INVOLVING SUBSTITUTION,  ADDITION, ELIMINATION, OXIDATION- REDUCTION, DIELS ELDER CYCLIZATION AND  EPOXIDE RING OPENINGS REACTIONS. SYNTHESIS OF A COMMONLY USED DRUG MOLECULE  LIKE ASPIRIN. 

SUGGESTED TEXT BOOKS 

🕮 UNIVERSITY CHEMISTRY, BY B. H. MAHAN 

🕮 CHEMISTRY: PRINCIPLES AND APPLICATIONS, BY M. J. SIENKO AND R. A. PLANE 🕮 FUNDAMENTALS OF MOLECULAR SPECTROSCOPY, BY C. N. BANWELL 

🕮 ENGINEERING CHEMISTRY (NPTEL WEB-BOOK), BY B. L. TEMBE, KAMALUDDIN AND M.  S. KRISHNAN 

🕮 PHYSICAL CHEMISTRY, BY P. W. ATKINS 

🕮 ORGANIC CHEMISTRY: STRUCTURE AND FUNCTION BY K. P. C. VOLHARDT AND N. E.  SCHORE, 5TH EDITION 

🕮 HTTP://BCS.WHFREEMAN.COM/VOLLHARDTSCHORE5E/DEFAULT.ASP 

COURSE OUTCOMES 

THE CONCEPTS DEVELOPED IN THIS COURSE WILL AID IN QUANTIFICATION OF SEVERAL CONCEPTS IN CHEMISTRY THAT HAVE BEEN INTRODUCED AT THE 10+2 LEVELS IN  SCHOOLS. TECHNOLOGY IS BEING INCREASINGLY BASED ON THE ELECTRONIC, ATOMIC AND  MOLECULAR LEVEL MODIFICATIONS. 

QUANTUM THEORY IS MORE THAN 100 YEARS OLD AND TO UNDERSTAND PHENOMENA AT  NANOMETER LEVELS, ONE HAS TO BASE THE DESCRIPTION OF ALL CHEMICAL PROCESSES AT  MOLECULAR LEVELS. THE COURSE WILL ENABLE THE STUDENT TO: ANALYSE MICROSCOPIC  CHEMISTRY IN TERMS OF ATOMIC AND MOLECULAR ORBITALS AND INTERMOLECULAR FORCES. 

RATIONALISE BULK PROPERTIES AND PROCESSES USING THERMODYNAMIC CONSIDERATIONS. DISTINGUISH THE RANGES OF THE ELECTROMAGNETIC SPECTRUM USED FOR EXCITING  DIFFERENT MOLECULAR ENERGY LEVELS IN VARIOUS SPECTROSCOPIC TECHNIQUES RATIONALISE PERIODIC PROPERTIES SUCH AS IONIZATION POTENTIAL, ELECTRONEGATIVITY,  OXIDATION STATES AND ELECTRONEGATIVITY.LIST MAJOR CHEMICAL REACTIONS THAT ARE  USED IN THE SYNTHESIS OF MOLECULES. 

CHEMISTRY LABORATORY 

CHOICE OF 10-12 EXPERIMENTS FROM THE FOLLOWING 

DETERMINATION OF SURFACE TENSION AND VISCOSITY 

THIN LAYER CHROMATOGRAPHY 

ION EXCHANGE COLUMN FOR REMOVAL OF HARDNESS OF WATER 

DETERMINATION OF CHLORIDE CONTENT OF WATER

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COLLIGATIVE PROPERTIES USING FREEZING POINT DEPRESSION 

DETERMINATION OF THE RATE CONSTANT OF A REACTION 

DETERMINATION OF CELL CONSTANT AND CONDUCTANCE OF SOLUTIONS POTENTIOMETRY - DETERMINATION OF REDOX POTENTIALS AND EMFS SYNTHESIS OF A POLYMER/DRUG 

SAPONIFICATION/ACID VALUE OF AN OIL 

CHEMICAL ANALYSIS OF A SALT 

LATTICE STRUCTURES AND PACKING OF SPHERES 

MODELS OF POTENTIAL ENERGY SURFACES 

CHEMICAL OSCILLATIONS- IODINE CLOCK REACTION 

DETERMINATION OF THE PARTITION COEFFICIENT OF A SUBSTANCE BETWEEN TWO  IMMISCIBLE LIQUIDS 

ADSORPTION OF ACETIC ACID BY CHARCOAL 

USE OF THE CAPILLARY VISCOSIMETERS TO THE DEMONSTRATE OF THE ISOELECTRIC  POINT AS THE PH OF MINIMUM VISCOSITY FOR GELATIN SOLS AND/OR COAGULATION  OF THE WHITE PART OF EGG. 

LABORATORY OUTCOMES 

THE CHEMISTRY LABORATORY COURSE WILL CONSIST OF EXPERIMENTS  ILLUSTRATING THE PRINCIPLES OF CHEMISTRY RELEVANT TO THE STUDY OF SCIENCE AND  ENGINEERING. THE STUDENTS WILL LEARN TO: ESTIMATE RATE CONSTANTS OF REACTIONS  FROM CONCENTRATION OF REACTANTS/PRODUCTS AS A FUNCTION OF TIME MEASURE  MOLECULAR/SYSTEM PROPERTIES SUCH AS SURFACE TENSION, VISCOSITY, CONDUCTANCE OF  SOLUTIONS, REDOX POTENTIALS, CHLORIDE CONTENT OF WATER, ETC SYNTHESIZE A SMALL  DRUG MOLECULE AND ANALYSE A SALT SAMPLE 

──── ──── ────

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[AKU-PATNA] [000 – COMMON PAPERS (ALL BRANCH)] 

PAPER CODE – 100104 || 100204 

ESC 

PROGRAMMING FOR PROBLEM SOLVING 

L:3 

T:0 

P:4 

CREDIT:5



MODULE 1: INTRODUCTION TO PROGRAMMING (6 LECTURES) 

INTRODUCTION TO COMPONENTS OF A COMPUTER SYSTEM (DISKS, MEMORY, PROCESSOR,  WHERE A PROGRAM IS STORED AND EXECUTED, OPERATING SYSTEM, COMPILERS ETC). IDEA  OF ALGORITHM: STEPS TO SOLVE LOGICAL AND NUMERICAL PROBLEMS. REPRESENTATION OF ALGORITHM: FLOWCHART/PSEUDO CODE WITH EXAMPLES. FROM ALGORITHMS TO PROGRAMS;  SOURCE CODE, VARIABLES (WITH DATA TYPES) VARIABLES AND MEMORY LOCATIONS, TYPE  CASTING/TYPE CONVERSION, RUN TIME ENVIRONMENT (STATIC, DYNAMIC LOCATION),  STORAGE CLASSES (AUTO, REGISTER, STATIC, EXTERN), SYNTAX AND LOGICAL ERRORS IN  COMPILATION, OBJECT AND EXECUTABLE CODE. 

MODULE 2: OPERATORS (3 LECTURES) 

ARITHMETIC EXPRESSIONS/ARITHMETIC OPERATORS/RELATIONAL OPERATORS/LOGICAL  OPERATORS/BITWISE OPERATORS AND PRECEDENCE  

MODULE 3: CONDITIONAL BRANCHING AND LOOPS (5 LECTURES) 

WRITING AND EVALUATION OF CONDITIONALS AND CONSEQUENT BRANCHING,  ITERATION AND LOOPS 

MODULE 4: ARRAYS (4 LECTURES) 

ARRAY DECLARATION & INITIALIZATION, BOUND CHECKING ARRAYS (1-D, 2-D),  CHARACTER ARRAYS AND STRINGS. 

MODULE 5: BASIC ALGORITHMS (6 LECTURES) 

SEARCHING (LINEAR SEARCH, BINARY SEARCH ETC.), BASIC SORTING ALGORITHMS  (BUBBLE, INSERTION AND SELECTION), FINDING ROOTS OF EQUATIONS, NOTION OF ORDER  OF COMPLEXITY THROUGH EXAMPLE PROGRAMS (NO FORMAL DEFINITION REQUIRED) 

MODULE 6: FUNCTION (4 LECTURES) 

INTRODUCTION & WRITING FUNCTIONS, SCOPE OF VARIABLES FUNCTIONS (INCLUDING  USING BUILT IN LIBRARIES), PARAMETER PASSING IN FUNCTIONS, CALL BY VALUE,  PASSING ARRAYS TO FUNCTIONS: IDEA OF CALL BY REFERENCE 

MODULE 7: RECURSION (5 LECTURES) 

RECURSION, AS A DIFFERENT WAY OF SOLVING PROBLEMS. EXAMPLE PROGRAMS, SUCH  AS FINDING FACTORIAL, FIBONACCI SERIES, REVERSE A STRING USING RECURSION, AND  GCD OF TWO NUMBERS, ACKERMAN FUNCTION ETC. QUICK SORT OR MERGE SORT. 

MODULE 8: STRUCTURE/UNION (3 LECTURES)

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STRUCTURES, ACCESSING STRUCTURE ELEMENTS, WAY OF STORAGE OF STRUCTURE  ELEMENT, DEFINING STRUCTURES AND ARRAY OF STRUCTURES, BASIC DEFINITION OF UNION, COMPARISON B/W STRUCTURE & UNION WITH EXAMPLE 

MODULE 9: POINTERS (5 LECTURES) 

IDEA OF POINTERS, DEFINING POINTERS, USE OF POINTERS IN SELF-REFERENTIAL  STRUCTURES, NOTION OF LINKED LIST (NO IMPLEMENTATION), POINTER TO POINTER,  POINTER TO ARRAY, POINTER TO STRINGS, ARRAY OF POINTER, POINTER TO FUNCTION,  POINTER TO STRUCTURE. 

MODULE 10: FILE HANDLING  

(ONLY IF TIME IS AVAILABLE, OTHERWISE SHOULD BE DONE AS PART OF THE LAB) 

SUGGESTED TEXT BOOKS 

🕮 BYRON GOTTFRIED, SCHAUM'S OUTLINE OF PROGRAMMING WITH C, MCGRAW-HILL 🕮 E. BALAGURUSWAMY, PROGRAMMING IN ANSI C, TATA MCGRAW-HILL 

SUGGESTED REFERENCE BOOKS 

🕮 BRIAN W. KERNIGHAN AND DENNIS M. RITCHIE, THE C PROGRAMMING LANGUAGE,  PRENTICE HALL OF INDIA 

🕮 YASHWANT KANETKAR, LET US C, BPB PUBLICATION 

THE STUDENT WILL LEARN 

TO FORMULATE SIMPLE ALGORITHMS FOR ARITHMETIC AND LOGICAL PROBLEMS. TO TRANSLATE THE ALGORITHMS TO PROGRAMS (IN C LANGUAGE). TO TEST AND EXECUTE THE PROGRAMS AND CORRECT SYNTAX AND LOGICAL ERRORS. TO IMPLEMENT CONDITIONAL BRANCHING, ITERATION AND RECURSION. TO DECOMPOSE A PROBLEM INTO FUNCTIONS AND SYNTHESIZE A COMPLETE PROGRAM  USING DIVIDE AND CONQUER APPROACH. 

TO USE ARRAYS, POINTERS AND STRUCTURES TO FORMULATE ALGORITHMS AND  PROGRAMS. 

TO APPLY PROGRAMMING TO SOLVE MATRIX ADDITION AND MULTIPLICATION  PROBLEMS AND SEARCHING AND SORTING PROBLEMS. 

TO APPLY PROGRAMMING TO SOLVE SIMPLE NUMERICAL METHOD PROBLEMS, NAMELY  ROT FINDING OF FUNCTION, DIFFERENTIATION OF FUNCTION AND SIMPLE  INTEGRATION. 

LABORATORY PROGRAMMING FOR PROBLEM SOLVING 

[THE LABORATORY SHOULD BE PRECEDED OR FOLLOWED BY A TUTORIAL TO EXPLAIN THE  APPROACH OR ALGORITHM TO BE IMPLEMENTED FOR THE PROBLEM GIVEN.] 

TUTORIAL 1: PROBLEM SOLVING USING COMPUTERS: 

LAB1: FAMILIARIZATION WITH PROGRAMMING ENVIRONMENT 

TUTORIAL 2: VARIABLE TYPES AND TYPE CONVERSIONS: 

LAB 2: SIMPLE COMPUTATIONAL PROBLEMS USING ARITHMETIC EXPRESSIONS 

TUTORIAL 3: BRANCHING AND LOGICAL EXPRESSIONS: 

LAB 3: PROBLEMS INVOLVING IF-THEN-ELSE STRUCTURES 

TUTORIAL 4: LOOPS, WHILE AND FOR LOOPS:

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LAB 4: ITERATIVE PROBLEMS E.G., SUM OF SERIES 

TUTORIAL 5: 1D ARRAYS: SEARCHING, SORTING: 

LAB 5: 1D ARRAY MANIPULATION 

TUTORIAL 6: 2D ARRAYS AND STRINGS 

LAB 6: MATRIX PROBLEMS, STRING OPERATIONS 

TUTORIAL 7: FUNCTIONS, CALL BY VALUE: 

LAB 7: SIMPLE FUNCTIONS 

TUTORIAL 8: NUMERICAL METHODS (ROOT FINDING, NUMERICAL DIFFERENTIATION,  NUMERICAL INTEGRATION): 

LAB 8: PROGRAMMING FOR SOLVING NUMERICAL METHODS PROBLEMS 

TUTORIAL 9: RECURSION, STRUCTURE OF RECURSIVE CALLS 

LAB 9: RECURSIVE FUNCTIONS 

TUTORIAL 10: POINTERS, STRUCTURES AND DYNAMIC MEMORY ALLOCATION LAB 10: POINTERS AND STRUCTURES 

TUTORIAL 11: FILE HANDLING: 

LAB 11: FILE OPERATIONS 

LABORATORY OUTCOMES 

TO FORMULATE THE ALGORITHMS FOR SIMPLE PROBLEMS 

TO TRANSLATE GIVEN ALGORITHMS TO A WORKING AND CORRECT PROGRAM TO BE ABLE TO CORRECT SYNTAX ERRORS AS REPORTED BY THE COMPILERS TO BE ABLE TO IDENTIFY AND CORRECT LOGICAL ERRORS ENCOUNTERED AT RUN  TIME 

TO BE ABLE TO WRITE ITERATIVE AS WELL AS RECURSIVE PROGRAMS TO BE ABLE TO REPRESENT DATA IN ARRAYS, STRINGS AND STRUCTURES AND  MANIPULATE THEM THROUGH A PROGRAM 

TO BE ABLE TO DECLARE POINTERS OF DIFFERENT TYPES AND USE THEM IN  DEFINING SELF- REFERENTIAL STRUCTURES. 

TO BE ABLE TO CREATE, READ AND WRITE TO AND FROM SIMPLE TEXT FILES. ──── ──── ────

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[AKU-PATNA] [000 – COMMON PAPERS (ALL BRANCH)] 

PAPER CODE – 100105 || 100205 

ESC 

WORKSHOP MANUFACTURING  

PRACTICES 

L:1 

T:0 

P:4 

CREDIT:3



LECTURES & VIDEOS: (10 HOURS) [L: 1; T: 0; P: 0 (1 CREDIT)]  

DETAILED CONTENTS: 

1. MANUFACTURING METHODS-CASTING, FORMING, MACHINING, JOINING, ADVANCED  MANUFACTURING METHODS (3 LECTURES)  

2. CNC MACHINING, ADDITIVE MANUFACTURING (1 LECTURE)  

3. FITTING OPERATIONS & POWER TOOLS (1 LECTURE)  

4. CARPENTRY (1 LECTURE)  

5. PLASTIC MOULDING, GLASS CUTTING (1 LECTURE)  

6. METAL CASTING (1 LECTURE)  

7. WELDING (ARC WELDING & GAS WELDING), BRAZING, SOLDERING (2 LECTURE)  

SUGGESTED TEXT/REFERENCE BOOKS:  

🕮 HAJRA CHOUDHURY S.K., HAJRA CHOUDHURY A.K. AND NIRJHAR ROY S.K., “ELEMENTS  OF WORKSHOP TECHNOLOGY”, VOL. I 2008 AND VOL. II 2010, MEDIA PROMOTERS  AND PUBLISHERS PRIVATE LIMITED, MUMBAI.  

🕮 KALPAKJIAN S. AND STEVEN S. SCHMID, “MANUFACTURING ENGINEERING AND  TECHNOLOGY”, 4TH EDITION, PEARSON EDUCATION INDIA EDITION, 2002.  🕮 GOWRI P. HARIHARAN AND A. SURESH BABU,”MANUFACTURING TECHNOLOGY – I”  PEARSON EDUCATION, 2008.  

🕮 ROY A. LINDBERG, “PROCESSES AND MATERIALS OF MANUFACTURE”, 4TH EDITION,  PRENTICE HALL INDIA, 1998.  

🕮 RAO P.N., “MANUFACTURING TECHNOLOGY”, VOL. I AND VOL. II, TATA MCGRAWHILL  HOUSE, 2017.  

COURSE OUTCOMES: 

UPON COMPLETION OF THIS COURSE, THE STUDENTS WILL GAIN KNOWLEDGE OF THE  DIFFERENT MANUFACTURING PROCESSES WHICH ARE COMMONLY EMPLOYED IN THE  INDUSTRY, TO FABRICATE COMPONENTS USING DIFFERENT MATERIALS. 

WORKSHOP PRACTICE: (60 HOURS) [L: 0; T: 0; P: 4 (2 CREDITS)] 

1. MACHINE SHOP (10 HOURS) AND FITTING SHOP (8 HOURS)  

2. CARPENTRY (6 HOURS)  

3. WELDING SHOP (8 HOURS) (ARC WELDING 4 HRS + GAS WELDING 4 HRS)  4. CASTING (8 HOURS) AND SMITHY (6 HOURS)  

5. PLASTIC MOULDING & GLASS CUTTING (6 HOURS)  

6. 3-D PRINTING OF DIFFERENT MODELS (8 HOURS) 

EXAMINATIONS COULD INVOLVE THE ACTUAL FABRICATION OF SIMPLE COMPONENTS, UTILIZING ONE OR MORE OF THE TECHNIQUES COVERED ABOVE. 

LABORATORY OUTCOMES  

UPON COMPLETION OF THIS LABORATORY COURSE, STUDENTS WILL BE ABLE TO  FABRICATE COMPONENTS WITH THEIR OWN HANDS.  

THEY WILL ALSO GET PRACTICAL KNOWLEDGE OF THE DIMENSIONAL ACCURACIES AND  DIMENSIONAL TOLERANCES POSSIBLE WITH DIFFERENT MANUFACTURING PROCESSES.  BY ASSEMBLING DIFFERENT COMPONENTS, THEY WILL BE ABLE TO PRODUCE SMALL  DEVICES OF THEIR INTEREST. BY ASSEMBLING DIFFERENT COMPONENTS, THEY WILL  BE ABLE TO PRODUCE SMALL DEVICES OF THEIR INTEREST. 

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44 | P a g e B A C K 

[AKU-PATNA] [000 – COMMON PAPERS (ALL BRANCH)] 

PAPER CODE – 100106 || 100206 

HSMC 

ENGLISH 

L:2 

T:0 

P:2 

CREDIT:3



DETAILED CONTENTS 

1. VOCABULARY BUILDING 

A. THE CONCEPT OF WORD FORMATION 

B. ROOT WORDS FROM FOREIGN LANGUAGES AND THEIR USE IN ENGLISH C. ACQUAINTANCE WITH PREFIXES AND SUFFIXES FROM FOREIGN LANGUAGES IN  ENGLISH TO FORM DERIVATIVES. 

D. SYNONYMS, ANTONYMS, AND STANDARD ABBREVIATIONS. 

E. AFFIXES, ACRONYMS 

2. BASIC WRITING SKILLS 

A. SENTENCE STRUCTURES 

B. USE OF PHRASES AND CLAUSES IN SENTENCES 

C. IMPORTANCE OF PROPER PUNCTUATION 

D. KINDS OF SENTENCES 

E. USE OF TENSE, USE IN CONTEXT AND COHERENCE OF TENSE IN WRITING  F. USE OF VOICE – ACTIVE/PASSIVE IN SENTENCES 

G. USE OF SPEECH – DIRECT AND INDIRECT SPEECH 

H. FRAMING QUESTIONS- DIRECT, USING MODAL VERBS 

3. IDENTIFYING COMMON ERRORS IN WRITING 

A. SUBJECT-VERB AGREEMENT 

B. NOUN-PRONOUN AGREEMENT 

C. MISPLACED MODIFIERS 

D. ARTICLES 

E. PREPOSITIONS 

F. REDUNDANCIES 

G. CLICHÉS 

H. COMMON ENGLISH ERRORS 

4. NATURE AND STYLE OF SENSIBLE WRITING 

A. DESCRIBING 

B. DEFINING 

C. CLASSIFYING 

D. PROVIDING EXAMPLES OR EVIDENCE 

E. WRITING INTRODUCTION AND CONCLUSION 

F. ORGANISING PRINCIPLE OF PARAGRAPHS IN DOCUMENTS 

G. ARGUMENT, DESCRIBING/ NARRATING/ PLANNING, DEFINING,CLASSIFYING H. LEXICAL RESOURCES, USING SUITABLE LANGUAGE REGISTER 

I. COHERENCE, WRITING INTRODUCTION, BODY AND CONCLUSION, TECHNIQUES FOR  WRITING PRECISELY,GRAMMAR AND ACCURACY 

5. WRITING PRACTICES 

A. COMPREHENSION 

B. FORMAL LETTER WRITING/ APPLICATION/ REPORT WRITING/ WRITING MINUTES OF  MEETINGS  

C. ESSAY WRITING 

D. FORMAL EMAIL WRITING 

E. RESUME/ CV WRITING, COVER LETTER,  

F. STATEMENT OF PURPOSE

45 | P a g e B A C K 

[AKU-PATNA] [000 – COMMON PAPERS (ALL BRANCH)] 

6. ORAL COMMUNICATION 

(THIS UNIT INVOLVES INTERACTIVE PRACTICE SESSIONS IN LANGUAGE LAB) A. LISTENING COMPREHENSION 

B. PRONUNCIATION, INTONATION, STRESS AND RHYTHM 

C. COMMON EVERYDAY SITUATIONS: CONVERSATIONS AND DIALOGUES 

D. COMMUNICATION AT WORKPLACE 

E. INTERVIEWS 

F. FORMAL PRESENTATIONS 

G. ACQUAINTING STUDENTS WITH IPA SYMBOLS 

H. PHONETICS (BASIC)  

I. SOUNDS – VOWELS, CONSONANTS 

J. CLEARING MOTHER TONGUE INFLUENCE  

K. CLEARING REDUNDANCIES AND COMMON ERRORS RELATED TO INDIANISMS L. GROUP DISCUSSION  

M. EXPRESSING OPINIONS 

N. COHERENCE AND FLUENCY IN SPEECH 

  

7. READING SKILLS 

A. READING COMPREHENSION,  

B. PARAGRAPH READING BASED ON PHONETIC SOUNDS/ INTONATION 

8. PROFESSIONAL SKILLS 

A. TEAM BUILDING  

B. SOFT SKILLS AND ETIQUETTES 

9. ACQUAINTANCE WITH TECHNOLOGY-AIDED LANGUAGE LEARNING 

A. USE OF COMPUTER SOFTWARE (GRAMMARLY, GINGER…) 

B. USE OF SMARTPHONE APPLICATIONS (DUOLINGO, BUSUU…) 

10. ACTIVITIES 

A. NARRATIVE CHAIN 

B. DESCRIBING/ NARRATING 

C. WRITING ESSAYS IN RELAY  

D. PEER/ GROUP ACTIVITIES 

E. BRAINSTORMING VOCABULARY  

F. CUE / FLASH CARDS FOR VOCABULARY  

G. DEBATES  

SUGGESTED READINGS: 

🕮 PRACTICAL ENGLISH USAGE. MICHAEL SWAN. OUP. 1995. 

🕮 REMEDIAL ENGLISH GRAMMAR. F.T. WOOD. MACMILLAN.2007 

🕮 ON WRITING WELL. WILLIAM ZINSSER. HARPER RESOURCE B