Transforms and Partial Differential Equations
Mumbai University - Computer Engineering - SEM IV


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  • Lectures
  • 62 Lectures
  • Videos
  • 14.20 Hrs Video

Course Description

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Curriculum

Total Chapters: 2 62 Videos

Chapter No. 1 : Fourier Series

   

Important Formulae of Fourier Series

Preview 21.28

Fourier Expansion of f(x) =e^-x in (0,2pi)

Preview 25.04

Fourier Expansion of f(x)=cospx in (0,2pi)

28.12

Fourier Expansion of periodic fuction f(x) in (-pi,pi)

29.05

Fourier Expansion of Sinx & Cosx in (-pi,pi)

36.45

Formulae for Fourier Series of Even & Odd Function in (-pi,pi)

8.11

Fourier expansion of f(x)=x+x^2 using Even & Odd Fuction

23.5

Fourier Series of f(x)= |cosx| using Even & Odd Fuctions

25.38

Fourier series for f(x) = pi x in (0,2)

17.37

Fourier Series for f(x) = 4-x^2 in (0,2) with Graph of Function

29.53

Fourier expansion of f(x) in (-2, 2)

19.58

Fourier Expansion of f(x) =Esinwx in (-pi/ w, pi/w )

34.02

Formula for Fourier Series of Even & Odd Function in (-l , l )

9.39

Fourier Series of F(x) = x|x| in (-l,l )

12.24

Fourie Series of F(x) = 1 +x & 1 - x in (-2, 2 )

12.42

Formulae & Concept of Parseval's Identity

7.22

Formulae for Half Range Sine & Cosine Series

9.54

Half range Cosine Series for F(x) = x in (0,2)

23.23

Half Range Sine Series of F(x) in ( o, pi )

12.47

Half range Sine Series for F(x) = lx - x^2 in ( o,l)

19.5

Formulae for Complex Form of Fourier Series

11.16

Complex form of fourier Series for f(x) = e^ax in (-pi,pi)

30.18

Complex form of fourier Series for f(x) in (0,2l)

25.02

What is Orthogonal & Orthonormal function?

5.06

Prove that f1(x), f2(x) & f3(x) are Orthogonal over (-l,l)

11.42

Chapter No. 3 : Partial Differential Equations

   

Exact Differential Equation - Definition and Formula

Preview 5.33

Exact differential Equation - Problem 1

Preview 7.4

Exact differential Equation - Problem 2

8.48

Exact differential Equation - Problem 3

10.27

Equations Reducible to Exact by Integrating Factors - Rules

5.38

Equation Reducible To Exact - Problem 3

11.21

Equation Reducible To Exact - Problem 4

9.01

Equation Reducible To Exact - Problem 5

18.39

Equation Reducible To Exact - Problem 6

14.42

Linear Differential Equation - Formula

4.41

Linear Differential Equation - Problem 1

5.41

Linear Differential Equation - Problem 2

6.58

Equation Reducible to Linear Form - Formula

4.17

Equation Reduciable to Linear Form - Problem 1

10.06

Equation Reduciable to Linear Form - Problem 2

9

Equation Reduciable to Linear Form - Problem 3

13.51

Equation Reduciable to Linear Form - Problem 4

8.37

Higher Order Differential Equation - Introduction

6.19

Higher Order Differential Equation with Constant Coefficient - Solution

21.04

Higher Order Differential Equation when R.H.S = 0 - Solution

8.56

Higher Order Differential Equation when R.H.S = 0 - Problem 1

13.18

Higher Order Differential Equation when R.H.S = 0 - Problem 2

10.57

Higher Order Differential Equation when R.H.S = e^ax - Solution

11.01

Higher Order Differential Equation when R.H.S = e^ax - Problem 1

13.46

Higher Order Differential Equation when R.H.S = e^ax - Problem 2

13.22

Higher Order Differential Equation when R.H.S = sinax,cosax - Problem 2

13.04

Higher Order Differential Equation when R.H.S = X^m - Solution

9.25

Higher Order Differential Equation when R.H.S = X^m - Problem 1

12.1

Higher Order Differential Equation when R.H.S = X^m - Problem 2

15.59

Higher Order Differential Equation when R.H.S = e^ax.V - Solution

4.09

Higher Order Differential Equation when R.H.S = e^ax.V Problem 1

8.5

Higher Order Differential Equation when R.H.S = e^ax.V Problem 2

18.3

Higher Order Differential Equation when R.H.S = X.V - Solution

4.01

Higher Order Differential Equation when R.H.S = X.V Problem 1

11.22

Higher Order Differential Equation when R.H.S = X.V Problem 2

8.06

Higher Order Differential Equation when R.H.S. does not belongs to above form - Solution

6.56

Higher Order Differential Equation when R.H.S. does not belongs to above form - Problem 1

6.27

Instructor Biography

Mahesh Wagh, Instructor and Teacher

Professor Mahesh Wagh has pledged to eradicate the fear of Mathematics from all those students who are afraid of studying this subject. His experience of teaching mathematics stretches over a timespan of around 10 years. He has earned a degree in computer engineering from Mumbai University. Apart from this, he also has an industrial experience in an MNC for 3 years of employment. He is an extraordinary person when it comes to innovation, technology & entrepreneurship. He is the founder of an institution which helps students to add increment to their scores by his authentic style of teaching. He is successfully running a start-up in order to spread quality education, digitally around the globe. You are gonna enjoy studying under him.

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