Learn · NPTEL

Course11110513474 lectures

Engineering Mathematics II

Prof. Jitendra Kumar · IIT Kharagpur

Start with lecture 1 At NPTEL

Lectures

WEEK 1

  1. Lecture 01 : Vector Functions Video
  2. Lecture 02: Vector and Scalar Fields Video
  3. Lecture 03: Divergence and Curl of a Vector Field Video
  4. Lecture 04: Line Integrals Video
  5. Lecture 05: Conservative Vector Field Video

WEEK 2

  1. Lecture 06: Green's Theorem Video
  2. Lecture 07: Surface Integral - I Video
  3. Lecture 08: Surface Integral - II Video
  4. Lecture 09: Stokes' Theorem Video
  5. Lecture 10: Divergence Theorem Video

WEEK 3

  1. Lecture 11: Complex Numbers and Functions Video
  2. Lecture 12: Differentiability of Complex Functions Video
  3. Lecture 13: Analytic Functions Video
  4. Lecture 14: Line Integral Video
  5. Lecture 15: Cauchy Integral Theorem Video

WEEK 4

  1. Lecture 16 : Cauchy Integral Formula Video
  2. Lecture 17 : Taylor's Series Video
  3. Lecture 18 : Laurent's Series Video
  4. Lecture 19 : Singularities Video
  5. Lecture 20 : Residue Video

WEEK 5

  1. Lecture 21 : Iterative Methods for Solving System of Linear Equations Video
  2. Lecture 22 : Iterative Methods for Solving System of Linear Equations (Cont.) Video
  3. Lecture 23 : Iterative Methods for Solving System of Linear Equations (Cont.) Video
  4. Lecture 24 : Roots of Algebraic and Transcendental Equations Video
  5. Lecture 25 : Roots of Algebraic and Transcendental Equations (Cont.) Video

WEEK 6

  1. Lecture 26: Polynomial Interpolation Video
  2. Lecture 27: Polynomial Interpolation (Cont.) Video
  3. Lecture 28: Polynomial Interpolation (Cont.) Video
  4. Lecture 29: "Polynomial Interpolation (Cont.)" Video
  5. Lecture 30: Numerical Integration Video

WEEK 7

  1. Lecture 31: "Trigonometric Polynomials and Series" Video
  2. Lecture 32: Derivation of Fourier Series Video
  3. Lecture 33: Fourier Series -Evaluation Video
  4. Lecture 34: Convergence of Fourier Series -I Video
  5. Lecture 35: "Convergence of Fourier Series - II" Video

WEEK 8

  1. Lecture 36: "Fourier Series for Even and Odd Functions" Video
  2. Lecture 37: Half Range Fourier Expansions Video
  3. Lecture 38: "Differentiation and Integration of Fourier Series" Video
  4. Lecture 39: Bessel's Inequality and Parseval's Identity Video
  5. Lecture 40: Complex Form of Fourier Series Video

WEEK 9

  1. Lecture 41: "Fourier Integral Representation of a Function" Video
  2. Lecture 42: "Fourier Sine and Cosine Integrals" Video
  3. Lecture 43: " Fourier Cosine and Sine Transform" Video
  4. Lecture 44: Fourier Transform Video
  5. Lecture 45: Properties of Fourier Transform Video

WEEK 10

  1. Lecture 46: "Evaluation of Fourier Transform (Part - 1)" Video
  2. Lecture 47: "Evaluation of Fourier Transform (Part - 2)" Video
  3. Lecture 48: " Introduction to Partial Differential Equations" Video
  4. Lecture 49 : Applications of Fourier Transform to PDEs (Part -1) Video
  5. Lecture 50 : Applications of Fourier Transform to PDEs (Part -2) Video

WEEK 11

  1. Lecture 51 : Laplace Transform of Some Elementary Functions Video
  2. Lecture 52 : Existence of Laplace Transform Video
  3. Lecture 53 : Inverse Laplace Transform Video
  4. Lecture 54 : Properties of Laplace Transform Video
  5. Lecture 55 : Properties of Laplace Transform (Cont.) Video

WEEK 12

  1. Lecture 56 : Properties of Laplace Transform (Cont.) Video
  2. Lecture 57 : Laplace Transform of Special Functions Video
  3. Lecture 58 : Laplace Transform of Special Functions (Cont.) Video
  4. Lecture 59 : Applications of Laplace Transform Video
  5. Lecture 60 : Applications of Laplace Transform (Cont.) Video

Live Session

  1. Live Session 22-02-2021 Video
  2. Live Session 13-03-2021 Video
  3. Live Session 10-04-2021 Video
  4. Live Session 02-03-2020 Video
  5. Live Session 26-03-2020 Video
  6. Live Session 18-02-2022 Video
  7. Live Session 03-12-2022 Video
  8. Live Session 04-06-2022 Video
  9. Live Session 28-02-2024 Video
  10. Live Session 18-03-2024 Video
  11. Live Session 17-04-2024 Video
  12. Live Session 18-02-2025 Video
  13. Live Session 19-03-2025 Video
  14. Live Session 09-04-2025 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kharagpur
Department
Mathematics
Teacher
Prof. Jitendra Kumar
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
Who can watch
NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed