Advance Engineering Mathematics
Gujarat Technological University - Electronics and Communication Engineering - SEM III


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  • Lectures
  • 96 Lectures
  • Videos
  • 20.42 Hrs Video

Course Description

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Curriculum

Total Chapters: 2 96 Videos

Chapter No. 2 : Fourier Series and Fourier Integral

   

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. 5 : Laplace Transform and Applications

   

Laplace Transform of 1

Preview 4.55

Laplace Transform of sin at

Preview 6.06

Laplace Transform of cos at

Preview 6.21

Laplace Transform of cosh at

11.28

Laplace Transform of sinh at

9.25

Laplace Transform of e^at

5.18

Laplace Transform of e^-at

4.1

Laplace Transform of t^n

7.07

Problem 1 based on Laplace Transform of Standard Functions

6.04

Problem 2 based on Laplace Transform of Standard Functions

7.05

Problem 3 based on Laplace Transform of Standard Functions

8.33

Problem 4 based on Laplace Transform of Standard Functions

20.37

Problem 5 based on Laplace Transform of Standard Functions

17.29

Problem 6 based on Laplace Transform of Standard Functions

7.12

Change of Scale Property

6.22

Problem 1 on Change of Scale Property

7.22

First Shifting Theorem

5.12

Problem 1 based on First Shifting Theorem

11.01

Problem 2 based on First Shifting Theorem

10.43

Problem 3 based on First Shifting Theorem

8.1

Problem 4 based on First Shifting Theorem

3.5

How to Derive Complementary Error Function in Laplace Transform

4.14

Problem on Complementary Error Function in Laplace Transform

18.2

Multiplication by 't' property

17.36

Problem 1 based on Multiplication by 't' property

13.09

Problem 2 based on Multiplication by 't' property

10.04

Problem 3 based on Multiplication by 't' property

12.4

Problem 4 based on Multiplication by 't' property

8.36

Problem 5 based on Multiplication by 't' property

7.36

Problem 6 based on Multiplication by 't' property

8.33

Division by 't' Property - Proof & formula

6.59

Problem 1 based on Division by 't' Property

9.19

Problem 2 based on Division by 't' Property

10.05

Problem 3 based on Division by 't' Property

29.51

Problem 4 based on Division by 't' Property

11.59

Laplace Transform of Integral Property - Proof & formula

7.02

Problem 1 based on Laplace Transform of Integral Property

10.08

Problem 2 based on Laplace Transform of Integral Property

14.05

Problem 3 based on Laplace Transform of Integral Property

17.55

Problem 4 based on Laplace Transform of Integral Property

23.05

Problem 5 based on Laplace Transform of Integral Property

11.08

Problem 1 based on Definition of Laplace Transform

7.1

Problem 2 based on Definition of Laplace Transform

8.58

Problem 3 based on Definition of Laplace Transform

8.31

Problem 4 based on Definition of Laplace Transform

7.53

Laplace Transform of Derivative Property - Proof & formula

9.3

Problem 1 based on Laplace Transform of Derivative Property

6.53

Problem 2 based on Laplace Transform of Derivative Property

15.54

Problem 3 based on Laplace Transform of Derivative Property

21.1

Problem 4 based on Laplace Transform of Derivative Property

11.01

Problem 5 based on Laplace Transform of Derivative Property

15.02

Definition & formulae of Inverse Laplace Transform

12.07

Problem 1 based on Inverse Laplace Transform using Standard Results

7.55

Problem 2 based on Inverse Laplace Transform using Standard Results

5.4

Problem 1 based on Inverse Laplace Transform using Shifting theorem

12.21

Problem 2 based on Inverse Laplace Transform using Shifting theorem

7.24

Problem 3 based on Inverse Laplace Transform using Shifting theorem

15.26

Problem 4 based on Inverse Laplace Transform using Shifting theorem

17.12

Problem 5 based on Inverse Laplace Transform using Shifting theorem

19.23

Problem on Inverse Laplace transform using Partial Fraction

9.49

Problem 1 based on Inverse Laplace Transform using Convolution Theorem

12.12

Problem 2 based on Inverse Laplace Transform using Convolution Theorem

12.36

Problem 3 based on Inverse Laplace Transform using Convolution Theorem

12.21

Problem 4 based on Inverse Laplace Transform using Convolution Theorem

10.58

Problem 5 based on Inverse Laplace Transform using Convolution Theorem

17.44

Problem 1 based on Inverse Laplace Transform of log & tan¯¹ Function

6.22

Problem 2 based on Inverse Laplace Transform of log & tan¯¹ Function

6.19

Problem 3 based on Inverse Laplace Transform of log & tan^-1 Function

6.43

Problem 4 based on Inverse Laplace Transform of log & tan^-1 Function

5.46

Problem 5 based on Inverse Laplace Transform of log & tan^-1 Function

10.53

Problem 6 based on Inverse Laplace Transform of log & tan^-1 Function

3.54

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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