## UG Courses

### Physics

### NS 102 Physics I

Coordinate systems, elements of vector algebra in plane polar, cylindrical, spherical polar coordinate systems; frames of references, relative velocity and accelerations; Newton’s law and applications (to include friction, constraint equations, rough pulleys), line integrals, gradient, curl, conservative forces, potential, work-energy theorems, energy diagrams; Conservation of linear momentum and collisions, variable mass problem; Central forces, gravitation; motion in non-inertial frames, centrifugal and Coriolis forces; Conservation of angular momentum and elementary rigid body dynamics; Special theory of relativity.

**Textbook:**
Kleppner & Kolenkow, “An Introduction to Mechanics”

### NS 104 Physics II

Electrostatic: Coulomb’s Law, Electric field & electrostatic potential, Work and Energy in electrostatic field, Gauss law & its applications, Curl of E, Laplace's and Poisson's equations, Dipoles & multipoles, Force and torque on dipoles, Polarization, Bound charges & electric displacement.

Magnetostatics: Electric Current, Magnetic field & Current density, Ampere's law & its applications, Biot-Savart law, Curl and divergence of B, Magnetic dipoles, Magnetization, Magnetic susceptibility, Ferro-, para- and dia- magnetism, Faraday's law, Energy in magnetic field.

Electrodynamics: Lorentz force, Maxwell's equations. Poynting theorem, Electromagnetic potentials, Electromagnetic (EM) waves & their propagation in different media.

Introduction to quantum mechanics, Planck’s theory, Thermal radiation (Black bodies, Stefen Boltzmann etc), Photoelectric effect, Compton effect, Dual nature of EM radiation, matter waves, deBroglie waves, wave-particle duality, Uncertainty principle, Heisenberg microscope, Properties of matter (phase and group velocity). Schrodinger equation, probabilistic interpretation of wave function, admissibility conditions for wave function. One dimensional problems: particle in a box, potential well, potential barrier and quantum tunneling. Periodic potential in one dimension.

**Text Books: **

1. INTRODUCTION TO ELECTRODYNAMICS: D.J. GRIFFITHS

2. QUANTUM PHYSICS: EISBERG & RESNICK (WILEY EDITION)

3. CONCEPT OF MODERN PHYSICS: BEISER (TATA McGRAW)

### MN 201 Materials & Manufacturing Processes

**Materials:**
Overview of Materials and their applications. Bonding in materials, crystalline and amorphous structures of solids, Miller indices in crystalline materials, Defects in crystalline materials: single crystals and poly-crystals.

Diffusion in solids; Phase Diagrams of engineering materials systems; Solidification; Diffusion assisted and diffusion less solid-state phase transformations, Elastic and Plastic deformation;

Applications and Properties of Ceramic, Polymers and also of their Composite Materials.

Band gap in solids, effective mass and electrical conduction in metals (KP model), Magnetic materials and their properties.

**Manufacturing Processes:**
Introduction to Manufacturing, Historical Perspective, Importance etc, Mechanical Properties in
Design & Manufacturing,

Casting: Fundamentals of Casting process, features etc, Casting Processes, Classification,
Significances

Metal forming: Hot & Cold Working, Bulk Deformation Processes (Rolling, Forging, Extrusion,
Drawing), Sheet Metal forming (Shearing & Drawing operations)

Machining: Machining, Chip formation, Cutting Forces and Power, Cutting Temperature, Tool
Wear, Tool Life, Machining Processes, Cutting Tool Geometry, Single Point Cutting Operations,
Multi Point Cutting Operations, (Milling, Drilling) Grinding & Finishing,

Non-conventional Machining: Unconventional M/c processes-CHM, ECM,ECG, EDM,
LBM,EBM, PAM,WJM,AJM

Metal joining: Fundamentals of Welding, Classification of welding processes, GAS & ARC
Welding, Ultrasonic Welding, Friction Welding, Resistance Welding etc., Brazing, Soldering,
Adhesive Bonding, Mechanical Fasteners

Polymers: Polymer products manufacturing, extrusion, injection molding, Blow Molding, Thermoforming, Compression Molding, Transfer Molding etc.

Computer integrated manufacturing processes: Automation, Layouts, Assembly Line Planning, Line balancing etc, Flexible Manufacturing Systems, NC, CNC, DNC etc.

Modern manufacturing processes: Rapid Prototyping Fundamentals, Various Processes, Rapid Prototyping, FDM, SLA, SLS, LOM

ADVANCED MANUFACTURING PROCESSES- for electronics etc

**Textbooks:**
1. Callister, “Materials Science and Engineering” Wiley.

2. Smith,William, “Foundations of Materials Science And Engineering”, Mc Graw Hill, 4th edition.

3. V. Raghvan, “Materials Science and Engineering” 5th edition

4. Mikel P.Groover, “Fundamentals of Modern Manufacturing”, John Wiley & Sons Inc.

5. G K Lal, S K Choudhry, “Fundamentals of Manufacturing Processes”, Narosa Publishers

6. Serope Kalpakjian, Steven R Schmid, “Manufacturing Engineering and Technology”, Pearson Education

### Mathematics

### NS 101 Mathematics for Continuous Domain

**Calculus of Functions of One Variable:**

Real Numbers, Functions, Sequences, Limit and Continuity, Differentiation: review, successive differentiation, chain rule and Libnitz theorem, Rolle's and Mean Value Theorems, Maxima/ Minima, Curve Sketching, Linear and Quadratic Approximations, Error Estimates, Taylor's Theorem, Newton and Picard Methods, The Riemann Integral, Approximate Integration, Natural Logarithm, Exponential Function, Relative Growth Rates, L'Hospital's Rule Geometric Applications of Integrals, Infinite Series, Tests of Convergence, Absolute and Conditional Convergence, Taylor and Maclaurin Series.

**Calculus of Functions of Several Variables:**
Scalar fields, Limit and Continuity, Partial derivatives, Chain rules, Implicit differentiation, web gradient, Directional derivatives, Total differential, Tangent planes and Normals, Maxima, Minima and Saddle Points, Constrained maxima and minima, Double Integrals, Applications to Areas and Volumes, Change of variables.

**Vector Calculus:**

Vector fields, Divergence and Curl, Line Integrals, Green's Theorem, Surface integrals, Divergence Theorem, Stoke's Theorem and Application.

### NS 103 Mathematics for Continuous & Discrete Domain

**Linear Algebra**

Review of Matrices Algebra, Solution of Matrices Equation, Row reduced Echelon form, Determinant, Kramer's rule, Vector spaces, subspaces, basis, Orthogonal basis, Gram-Schmidt orthogonalization, Linear Operators, Matrix representation, Rank, Solution of Linear equations using matrices (invertibility, null space etc.), Eigenvalues, eigenvectors, diagonalisability, Symmetric systems, Positive definite.

**Complex Analysis**

Review of complex numbers and operations, Functions of a Complex Variable, Analytical functions, Cauchy-Reimann equations, Elementary functions, Confonnal mapping, Contour integrals, Cauchy's Theorem, Residue Theorem, Power series, Taylor and Laurent series, zeros, poles, essential singularities, evaluation of integrals.

**Text Book: **
Kreysig E., “Advanced Engineering Mathematics”, Wiley Eastern Limited.

### NS 205 Mathematics for Discrete Domain

**Abstract Algebra:** Introduction of Sets, Axioms of Set Theory, Operations, Functions, Relations, Algebraic structures, Group, Properties of Groups, Symmetric Group, Permutation, Subgroup, Cosets and Lagrange's Theorem, Homomorphism and Isomorphism of groups, Automorphism and Normal Subgroup, First and Second Isomorphism Theorem, Ring, Integral Domain, Field, Skew field, Ideal, Polynomial Ring, Ring homomorphism.

**Graph Theory:** Introduction of Graph, Bipartite Graph, Tree and Spanning Tree, Matrices representations of Graph, Adjacency Matrix, Incidence Matrix, and Isomorphism of Graphs.

**Recurrence Relations:** Linear Recurrence relations with constant coefficients, Backward Tracking and Forward Chaining Method, Non-Homogeneous Recurrence Relations, Homogeneous Solutions, Particular Solutions, Generating Functions, Solutions by Generating Functions.

Text Books:

1. Liu, C. L., Elements of Discrete Mathematics, Tata McGraw Hill, 2007.

2. Balakrishnan, V. K., Graph Theory, Schaum Series, McGraw Hill, 1997.