Unit-I: Calculus 
Rolle’s theorem, Mean value theorems, Taylor’s and Maclaurin theorems with remainders;
Indeterminate forms and L' Hôpital's rule; Maxima and minima; Evaluation of definite and
Improper integrals; Applications of definite integrals to evaluate surface areas and volumes of
revolutions.
Unit-II: Multivariable Calculus 

Limit, continuity and partial derivatives, Total derivative; Tangent plane and normal line;
Maxima, minima and saddle points; Method of Lagrange multipliers; 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).

Section-B
Unit-III: Sequences and Series 

Convergence of sequence and series, tests for convergence of positive term series: root test,
ratio test, p-test, comparison test; Alternate series and Lebinitz’s test; Power series, Taylor's
series, series for exponential, trigonometric and logarithmic functions.

IK Gujral Punjab Technical University
Bachelor of Technology (B. Tech. 1st Year)
Unit-IV: Matrices 

Algebra of matrices, Inverse and rank of a matrix, introduction of null space and kernel,
statement of rank-nullity theorem; System of linear equations; Symmetric, skew-symmetric and
orthogonal matrices; Determinants; Eigenvalues and eigenvectors; Similar matrices;
Diagonalization of matrices; Cayley-Hamilton Theorem.
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.
T. Veerarajan, Engineering Mathematics for first year, Tata McGraw-Hill, NewDelhi, 2008.
B.V. Ramana, Higher Engineering Mathematics, Tata McGraw Hill New Delhi,11thReprint,
2010.
D. Poole, Linear Algebra: A Modern Introduction, 2nd Edition, Brooks/Cole, 2005.
N.P. Bali and Manish Goyal, A text book of Engineering Mathematics, LaxmiPublications,
Reprint, 2008.
B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers, 36th Edition, 2010.

Unit 1
Introduction to Programming
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/Pseudocode with examples.
From algorithms to programs; source code, variables (with data types) variables and memory
locations, Syntax and Logical Errors in compilation, object and executable code- 
 

Unit 2
Arithmetic expressions and precedence 
Conditional Branching and Loops 
Writing and evaluation of conditionals and consequent branching 
Iteration and loops 
 

Unit 3
Arrays 
Arrays (1-D, 2-D), Character arrays and Strings
 

Unit 4
Basic Algorithms 
Searching, Basic Sorting Algorithms (Bubble, Insertion and Selection), Finding
roots of equations, notion of order of complexity through example programs (no
formal definition required)

Unit 5
Function 
Functions (including using built in libraries), Parameter passing in functions, call
by value, Passing arrays to functions: idea of call by reference

Unit 6
Recursion
Recursion, as a different way of solving problems. Example programs, such as Finding
Factorial, Fibonacci series, Ackerman function etc. Quick sort or Merge sort.

Unit 7
Structure 
Structures, Defining structures and Array of Structures

Unit 8
Pointers 
Idea of pointers, Defining pointers, Use of Pointers in self-referential structures,
notion of linked list (no implementation)

Unit 9
File handling 

TextBooks
(i) Byron Gottfried, Schaum's Outline of Programming with C, McGraw-Hill
(ii) E. Balaguruswamy, Programming in ANSI C, Tata McGraw-Hill
Reference Books
(i) Brian W. Kernighan and Dennis M. Ritchie, The C Programming Language, Prentice
Hall of India.

Unit-1 Vocabulary Building & Basic Writing Skills
 The concept of Word Formation
 Root words from foreign languages and their use in English
 Acquaintance with prefixes and suffixes from foreign languages in English to
form derivatives.
 Synonyms, antonyms, and standard abbreviations.
 Sentence Structures
 Use of phrases and clauses in sentences
 Importance of proper punctuation
 Creating coherence
 Organizing principles of paragraphs in documents
 Techniques for writing precisely
Unit-2 Identifying Common Errors in Writing
 Subject-verb agreement
 Noun-pronoun agreement
 Misplaced modifiers
 Articles
 Prepositions
 Redundancies
 Clichés
Unit-3 Mechanics of Writing
 Writing introduction and conclusion
 Describing
 Defining
 Classifying
 Providing examples or evidence
Unit-4 Writing Practices
 Comprehension
 Précis Writing
 Essay Writing
 Business Writing-Business letters, Business Emails, Report Writing, Resume/CV
Suggested Readings:
(i) Practical English Usage. Michael Swan. OUP. 1995.
(ii) Remedial English Grammar. F.T. Wood. Macmillan.2007
(iii) On Writing Well. William Zinsser. Harper Resource Book. 2001
(iv) Study Writing. Liz Hamp-Lyons and Ben Heasly. Cambridge University Press. 2006.
(v) Communication Skills. Sanjay Kumar and Pushp Lata. Oxford University Press.
2011.
(vi) Exercises in Spoken English. Parts. I-III. CIEFL, Hyderabad. Oxford University
Press

Module 1: DC Circuits 
Electrical circuit elements (R, L and C), voltage and current sources, Kirchoff’s current and
voltage laws, analysis of simple circuits with dc excitation. Superposition, Thevenin’s and
Norton’s Theorems. Time-domain analysis of first-order RL and RC circuits.
 

Module 2: AC Circuits 
Representation of sinusoidal waveforms, peak and rms values, phasor representation, real
power, reactive power, apparent power, power factor. 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: Electrical Machines
Magnetic materials, BH characteristics, ideal and practical transformer, equivalent circuit,
losses in transformers, regulation and efficiency. Auto-transformer and three-phase
transformer connections. 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. Single-phase induction motor.
Construction, working, torque-speed characteristic and speed control of separately excited
dc motor. Construction and working of synchronous generators.
 

Module 4: Electrical Installations 
Components of LT Switchgear: Switch Fuse Unit (SFU), Miniature Circuit Breaker (MCB),
Earth Leakage Circuit Breaker (ELCB), MCCB, Contactors, Types of Wires and Cables,
Earthing. Types of Batteries, Important 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.
T.K. Nagsarkar and M.S. Sukhija, “Basic Electrical Engineering”, Oxford University Press
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.
B. L. Theraja, “Electrical Technology”, S Chand Publishing
J. B. Gupta, “Basic Electrical Engineering”, S.K. Kataria & Sons

(i) Atomic and molecular structure (12 lectures)

Schrodinger equation. Particle in a box solutions and their applications for conjugated molecules and nanoparticles. Forms of the hydrogen atom wave functions and the plots of these functions to explore their spatial variations. Molecular orbitals of diatomic molecules and plots of the multicenter orbitals. Equations for atomic and molecular orbitals. Energy level diagrams of diatomic. Pi-molecular orbitals of butadiene and benzene and aromaticity. Crystal field theory and the energy level diagrams for transition metal ions and their magnetic properties. Band structure of solids and the role of doping on band structures.

(ii) Spectroscopic techniques and applications (8 lectures)

Principles of spectroscopy and selection rules. Electronic spectroscopy. Fluorescence and its applications in medicine. Vibrational and rotational spectroscopy of diatomic molecules. Applications. Nuclear magnetic resonance and magnetic resonance imaging, surface characterisation techniques. Diffraction and scattering.

(iii) Intermolecular forces and potential energy surfaces (4 lectures)

Ionic, dipolar and van Der Waals interactions. Equations of state of real gases and critical phenomena. Potential energy surfaces of H3, H2F and HCN and trajectories on these surfaces.

(iv) Use of free energy in chemical equilibria (6 lectures)

Thermodynamic functions: energy, entropy and free energy. Estimations of entropy and free energies. Free energy and emf. Cell potentials, the Nernst equation and applications. Acid base, oxidation reduction and solubility equilibria. Water chemistry. Corrosion. Use of free energy considerations in metallurgy through Ellingham diagrams.

(v) 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, atomic and ionic sizes, ionization energies, electron affinity and electronegativity, polarizability, oxidation states, coordination numbers and geometries, hard soft acids and bases, molecular geometries

(vi) Stereochemistry (4 lectures)

Representations of 3 dimensional structures, structural isomers and stereoisomers, configurations and symmetry and chirality, enantiomers, diastereomers, optical activity, absolute configurations and conformational analysis. Isomerism in transitional metal compounds

(vii) Organic reactions and synthesis of a drug molecule (4 lectures)

Introduction to reactions involving substitution, addition, elimination, oxidation, reduction, cyclization and ring openings. Synthesis of a commonly used drug molecule.

Suggested Text Books

(i) University chemistry, by B. H. Mahan (ii) Chemistry: Principles and Applications, by M. J. Sienko and R.A. Plane (iii) Fundamentals of Molecular Spectroscopy, by C. N. Banwell (iv) Engineering Chemistry (NPTEL Web-book), by B. L. Tembe, Kamaluddin and M. S. Krishnan (v) Physical Chemistry, by P. W. Atkins (vi) Organic Chemistry: Structure and Function by K. P. C. Volhardt and N. E. Schore, 5th Edition http://bcs.whfreeman.com/vollhardtschore5e/default.asp

BTPH101-18 Mechanics of Solids

4 Credits

UNIT I: Vector mechanics 
Physical significance of gradient, Divergence and curl. Potential energy function, F = - Grad V, equipotential surfaces, Forces in Nature, Newton’s laws and its completeness in describing particle motion, Conservative and non-conservative forces, curl of a force field; Central forces; Conservation of Angular Momentum and Energy, Introduction to Cartesian, spherical and cylindrical coordinate system, Inertial and Non-inertial frames of reference; Rotating coordinate system :- Centripetal and Coriolis accelerations.

UNIT II: Simple harmonic motion, damped and forced simple harmonic oscillator
Mechanical simple harmonic oscillators, damped oscillations, damped harmonic oscillator – heavy, critical and light damping, energy decay in a damped harmonic oscillator, quality factor, forced mechanical oscillators, resonance.

PART-B
UNIT III: Planar rigid body mechanics 
Definition and motion of a rigid body in plane; Rotation in the plane, Angular momentum about a point of a rigid body in planar motion; center of mass, moment of inertia, theorems of moment of inertia, inertia of plane lamina, circular ring, moment of force, couple, Euler’s laws of motion.

UNIT IV: Mechanics of solids 
Friction: Definitions: Types of friction, Laws of static friction, Limiting friction, Angle of friction, angle of repose; motion on horizontal and inclined planes. Methods of reducing friction, Concept of stress and strain Bat a point; Concepts of elasticity, plasticity, strain hardening, failure (fracture/yielding), one dimensional  stress-strain curve; Generalized Hooke’s law. Force analysis — axial force, shear force, bending moment and twisting moment. Bending stress; Shear stress; Concept of strain energy; Yield criteria.

Reference books and suggested reading:
1. Engineering Mechanics, 2nd ed. - MK Harbola, Cengage Learning India, 2013.
2. Introduction to Mechanics - MK Verma, CRC Press Book, 2009.
3. Mechanics- DS Mathur, S Chand Publishing, 1981.
4. An Introduction to Mechanics - D Kleppner & R Kolenkow, Tata McGraw Hill 2009.
5. Principles of Mechanics - JL Synge & BA Griffiths, Nabu Press, 2011.
6. Mechanics - JP Den Hartog, Dover Publications Inc, 1961.
7. Engineering Mechanics- Dynamics, 7th ed. - JL Meriam, Wiley.
8. Theory of Vibrations with Applications -WT Thomson, Pearson.
9. An Introduction to the Mechanics of Solids, 2nd ed. with SI Units-SH Crandall, NC Dahl & TJ Lardner
10. Classical Mechanics- H. Goldstein, Pearson Education, Asia.
11. Classical mechanics of particles and rigid bodies-K.C Gupta, Wiley eastern, New Delhi.
12. Engineering Physics-Malik and Singh, Tata McGraw Hill.
13. Engineering Mechanics: Statics- 7th ed.-JL Meriam, Wiley, 2011.
14. Analytical Mechanics-Satish K Gupta, Modern Publishers.