BEU Data Science — 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
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.
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.
đź“š 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.
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.