BEU Electrical Engineering — Semester 1 Syllabus

Curriculum version: 2024–2026 onwards • AICTE Model Structure • Total Credits: 19.5

Semester 1 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-103 Mathematics-I (Calculus & Linear Algebra) BSC 3-1-0 4.0 100
ESC-101 Basic Electrical Engineering ESC 3-1-2 4.0 100

Detailed Unit Topics & Prescribed Textbooks

Physics (Mechanics & Quantum Physics) BSC-101

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.

📚 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.

Mathematics-I (Calculus & Linear Algebra) BSC-103

Differential and Integral Calculus, Matrices, System of Linear Equations, Eigenvalues, and Eigenvectors.

Unit 1: Calculus & Evolutes (10 Hours)

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.

Unit 2: Calculus of Several Variables (8 Hours)

Rolle’s theorem, Mean value theorems, Taylor’s and Maclaurin theorems with remainders; Indeterminate forms and L'Hospital's rule; Maxima and minima of functions of several variables.

Unit 3: Matrices & Systems of Equations (10 Hours)

Matrices, vectors: addition and scalar multiplication, matrix multiplication; Rank of a matrix, elementary row and column operations; System of linear equations: consistency, Gauss elimination and Gauss-Jordan methods.

Unit 4: Vector Spaces & Linear Transformations (10 Hours)

Vector Space, linear dependence and independence of vectors, basis, dimension; Linear transformations (maps), range and kernel of a linear map, rank-nullity theorem.

Unit 5: Eigenvalues & Diagonalization (8 Hours)

Eigenvalues, eigenvectors, symmetric, skew-symmetric, and orthogonal Matrices; Eigenbases; Diagonalization of matrices; Cayley-Hamilton Theorem.

📚 Prescribed / Recommended Textbooks:

1. G.B. Thomas and R.L. Finney, Calculus and Analytic Geometry, Pearson.\n2. B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers.\n3. Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons.

Basic Electrical Engineering ESC-101

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.

📚 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.

🏛️ Official Citation: Course structure and unit requirements verified against official curriculum archives of Bihar Engineering University (BEU), Patna (beu-bih.ac.in).