Engineering Mathematics II AT3FCMV296

URI	`m2://res/AT3FCMV296`
Kind	course
Creators	Jitendra Kumar (instructor)
Date	2025-01-06
MSC	00-XX
Scope	in
Ids	course 03w5sq511:111105134

Expressions

e1: edition

Language	en
Date	2025-01-06

m1: page, IIT Kharagpur (record). nptel 111105134
m2: page, 2025-01-06 (record). nptel 111105134

Contents

part 1: WEEK 1
session 1: Lecture 01 : Vector Functions
session 2: Lecture 02: Vector and Scalar Fields
session 3: Lecture 03: Divergence and Curl of a Vector Field
session 4: Lecture 04: Line Integrals
session 5: Lecture 05: Conservative Vector Field
part 2: WEEK 2
session 6: Lecture 06: Green's Theorem
session 7: Lecture 07: Surface Integral - I
session 8: Lecture 08: Surface Integral - II
session 9: Lecture 09: Stokes' Theorem
session 10: Lecture 10: Divergence Theorem
part 3: WEEK 3
session 11: Lecture 11: Complex Numbers and Functions
session 12: Lecture 12: Differentiability of Complex Functions
session 13: Lecture 13: Analytic Functions
session 14: Lecture 14: Line Integral
session 15: Lecture 15: Cauchy Integral Theorem
part 4: WEEK 4
session 16: Lecture 16 : Cauchy Integral Formula
session 17: Lecture 17 : Taylor's Series
session 18: Lecture 18 : Laurent's Series
session 19: Lecture 19 : Singularities
session 20: Lecture 20 : Residue
part 5: WEEK 5
session 21: Lecture 21 : Iterative Methods for Solving System of Linear Equations
session 22: Lecture 22 : Iterative Methods for Solving System of Linear Equations (Cont.)
session 23: Lecture 23 : Iterative Methods for Solving System of Linear Equations (Cont.)
session 24: Lecture 24 : Roots of Algebraic and Transcendental Equations
session 25: Lecture 25 : Roots of Algebraic and Transcendental Equations (Cont.)
part 6: WEEK 6
session 26: Lecture 26: Polynomial Interpolation
session 27: Lecture 27: Polynomial Interpolation (Cont.)
session 28: Lecture 28: Polynomial Interpolation (Cont.)
session 29: Lecture 29: "Polynomial Interpolation (Cont.)"
session 30: Lecture 30: Numerical Integration
part 7: WEEK 7
session 31: Lecture 31: "Trigonometric Polynomials and Series"
session 32: Lecture 32: Derivation of Fourier Series
session 33: Lecture 33: Fourier Series -Evaluation
session 34: Lecture 34: Convergence of Fourier Series -I
session 35: Lecture 35: "Convergence of Fourier Series - II"
part 8: WEEK 8
session 36: Lecture 36: "Fourier Series for Even and Odd Functions"
session 37: Lecture 37: Half Range Fourier Expansions
session 38: Lecture 38: "Differentiation and Integration of Fourier Series"
session 39: Lecture 39: Bessel's Inequality and Parseval's Identity
session 40: Lecture 40: Complex Form of Fourier Series
part 9: WEEK 9
session 41: Lecture 41: "Fourier Integral Representation of a Function"
session 42: Lecture 42: "Fourier Sine and Cosine Integrals"
session 43: Lecture 43: " Fourier Cosine and Sine Transform"
session 44: Lecture 44: Fourier Transform
session 45: Lecture 45: Properties of Fourier Transform
part 10: WEEK 10
session 46: Lecture 46: "Evaluation of Fourier Transform (Part - 1)"
session 47: Lecture 47: "Evaluation of Fourier Transform (Part - 2)"
session 48: Lecture 48: " Introduction to Partial Differential Equations"
session 49: Lecture 49 : Applications of Fourier Transform to PDEs (Part -1)
session 50: Lecture 50 : Applications of Fourier Transform to PDEs (Part -2)
part 11: WEEK 11
session 51: Lecture 51 : Laplace Transform of Some Elementary Functions
session 52: Lecture 52 : Existence of Laplace Transform
session 53: Lecture 53 : Inverse Laplace Transform
session 54: Lecture 54 : Properties of Laplace Transform
session 55: Lecture 55 : Properties of Laplace Transform (Cont.)
part 12: WEEK 12
session 56: Lecture 56 : Properties of Laplace Transform (Cont.)
session 57: Lecture 57 : Laplace Transform of Special Functions
session 58: Lecture 58 : Laplace Transform of Special Functions (Cont.)
session 59: Lecture 59 : Applications of Laplace Transform
session 60: Lecture 60 : Applications of Laplace Transform (Cont.)
part 13: Live Session
session 61: Live Session 22-02-2021
session 62: Live Session 13-03-2021
session 63: Live Session 10-04-2021
session 64: Live Session 02-03-2020
session 65: Live Session 26-03-2020
session 66: Live Session 18-02-2022
session 67: Live Session 03-12-2022
session 68: Live Session 04-06-2022
session 69: Live Session 28-02-2024
session 70: Live Session 18-03-2024
session 71: Live Session 17-04-2024
session 72: Live Session 18-02-2025
session 73: Live Session 19-03-2025
session 74: Live Session 09-04-2025

Catalogue records

nptel: 111105134 (manifestation)
nptel_video: 111105134 (manifestation)