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Course11110613928 lectures

Laplace Transform

Prof. Indrava Roy · IMSc

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Introduction and Motivation for Laplace transforms - Part 1 Video
  2. Introduction and Motivation for Laplace transforms - Part 2 Video
  3. Improper Riemann integrals: Definition and Existence - Part 1 Video
  4. Improper Riemann integrals: Definition and Existence - Part 2 Video
  5. Existence of Laplace transforms and Examples Video
  6. Properties of Laplace transforms- I - Part 1 Video
  7. Properties of Laplace transforms- I - Part 2 Video

Week 2

  1. Existence of Laplace transforms for functions with vertical asymptote at the Y-axis - Part 1 Video
  2. Existence of Laplace transforms for functions with vertical asymptote at the Y-axis - Part 2 Video
  3. Properties of Laplace transforms- II - Part 1 Video
  4. Properties of Laplace transforms- II - Part 2 Video
  5. Laplace transform of Derivatives - Part 1 Video
  6. Laplace transform of Derivatives - Part 2 Video
  7. Laplace transform of Periodic functions and Integrals -I Video
  8. Laplace transform of Integrals- II - Part 1 Video
  9. Laplace transform of Integrals- II - Part 2 Video

Week 3

  1. Inverse Laplace transform and asymptotic behaviour - Part 1 Video
  2. Inverse Laplace transform and asymptotic behaviour - Part 2 Video
  3. Methods of finding Inverse Laplace transform-I- Partial Fractions Video
  4. Methods of finding Inverse Laplace transform-II- Convolution theorem Video
  5. Convolution theorem for Laplace transforms Video

Week 4

  1. Applications of Laplace transforms Video
  2. Applications of Laplace Transform to physical systems Video
  3. Solving Linear ODE's with polynomial coefficients Video
  4. Integral and Integro-differential equation Video
  5. Further application of Laplace transforms - Part 1 Video
  6. Further application of Laplace transforms - Part 2 Video

Live Session

  1. Live Session 23-11-2020 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IMSc
Department
Mathematics
Teacher
Prof. Indrava Roy
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. Coordinated by IIT Madras.
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