BEU Mechanical Engineering — Semester 2 Syllabus
Curriculum version: 2024–2026 onwards • AICTE Model Structure • Total Credits: 19.5
Semester 2 Subject Structure
| Code | Subject Name | Category | L-T-P | Credits | Marks |
|---|---|---|---|---|---|
| BSC-101 | Physics (Mechanics & Quantum Physics) | BSC | 3-1-2 | 4.0 | 100 |
| BSC-104 | Mathematics-II (ODE, Complex Variables & Transforms) | BSC | 3-1-0 | 4.0 | 100 |
| ESC-101 | Basic Electrical Engineering | ESC | 3-1-2 | 4.0 | 100 |
Detailed Unit Topics & Prescribed Textbooks
Oscillations, Waves, Optics, Laser, Fibre Optics, and Quantum Mechanics principles.
Unit 1: Wave & Oscillations (8 Hours)
Simple harmonic motion, damped and forced simple harmonic oscillator, resonance, sharpness of resonance, Q-factor.
Unit 2: Interference & Diffraction (9 Hours)
Interference in thin films, Newton's rings; Fraunhofer diffraction from a single slit and circular aperture, diffraction grating.
Unit 3: Laser & Fibre Optics (8 Hours)
Einstein’s theory of matter radiation interaction; Ruby laser, He-Ne laser; Optical fibres: Acceptance angle, numerical aperture, attenuation, single and multimode fibres.
Unit 4: Quantum Mechanics Introduction (10 Hours)
de-Broglie hypothesis, wave-particle duality, Heisenberg’s uncertainty principle; Schrodinger wave equation (time-dependent and time-independent), particle in a 1D box.
đź“š Prescribed / Recommended Textbooks:
1. David Griffiths, Introduction to Electrodynamics, Cambridge University Press.\n2. H.K. Malik and A.K. Singh, Engineering Physics, McGraw Hill Education.
Ordinary Differential Equations of higher order, Series solutions, Laplace transforms, Complex analysis.
Unit 1: First Order ODEs (8 Hours)
Exact equations, 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.
Unit 2: Higher Order Linear ODEs (10 Hours)
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.
Unit 3: Complex Variables - Differentiation (8 Hours)
Differentiation, Cauchy-Riemann equations, analytic functions, harmonic functions, finding harmonic conjugate; Conformal mappings, Mobius transformations and their properties.
Unit 4: Complex Variables - Integration (10 Hours)
Contour integrals, Cauchy-Goursat theorem, Cauchy Integral formula, Liouville’s theorem and Maximum-Modulus theorem; Taylor’s series, Laurent’s series; Zeros of analytic functions, singularities, Residues, Cauchy Residue theorem.
Unit 5: Laplace Transforms (8 Hours)
Laplace Transform, Properties of Laplace Transform, Laplace transform of periodic functions; Inverse Laplace transform by different methods, convolution theorem; Evaluation of integrals by Laplace transform, solving ODEs using Laplace.
đź“š Prescribed / Recommended Textbooks:
1. Erwin Kreyszig, Advanced Engineering Mathematics, 9th Edition, John Wiley & Sons.\n2. B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers.
DC and AC circuit analysis, transformers, electrical machines, and domestic electrical installations.
Unit 1: DC Circuits (8 Hours)
Electrical circuit elements (R, L and C), voltage and current sources, Kirchhoff current and voltage laws, analysis of simple circuits with dc excitation; Superposition, Thevenin and Norton Theorems.
Unit 2: AC Circuits (9 Hours)
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.
Unit 3: Transformers (8 Hours)
Magnetic materials, BH characteristics, ideal and practical transformer, equivalent circuit, losses in transformers, regulation and efficiency; Auto-transformer and three-phase transformer connections.
Unit 4: Electrical Machines (9 Hours)
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 of separately excited dc motor.
đź“š Prescribed / Recommended Textbooks:
1. D.P. Kothari and I.J. Nagrath, Basic Electrical Engineering, Tata McGraw Hill.\n2. V.D. Toro, Electrical Engineering Fundamentals, Prentice Hall India.