Engineering Mathematics 3
I. K. Gujral Punjab Technical University - Electronics and Communication Engineering - SEM III


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  • Lectures
  • 119 Lectures
  • Videos
  • 24.18 Hrs Video

Course Description

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Curriculum

Total Chapters: 3 119 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. 2 : Laplace Transforms

   

Laplace Transform of 1

Preview 4.55

Laplace Transform of sin at

Preview 6.06

Laplace Transform of sin at

Preview 6.06

Laplace Transform of cos at

Preview 6.21

Laplace Transform of cos at

Preview 6.21

Laplace Transform of cosh at

11.28

Laplace Transform of cosh at

11.28

Laplace Transform of sinh at

9.25

Laplace Transform of sinh at

9.25

Laplace Transform of e^at

5.18

Laplace Transform of e^at

5.18

Laplace Transform of e^-at

4.1

Laplace Transform of e^-at

4.1

Laplace Transform of t^n

7.07

Laplace Transform of t^n

7.07

Problem 1 based on Laplace Transform of Standard Functions

6.04

Problem 1 based on Laplace Transform of Standard Functions

6.04

Problem 2 based on Laplace Transform of Standard Functions

7.05

Problem 2 based on Laplace Transform of Standard Functions

7.05

Problem 3 based on Laplace Transform of Standard Functions

8.33

Problem 3 based on Laplace Transform of Standard Functions

8.33

Problem 4 based on Laplace Transform of Standard Functions

20.37

Problem 4 based on Laplace Transform of Standard Functions

20.37

Problem 5 based on Laplace Transform of Standard Functions

17.29

Problem 5 based on Laplace Transform of Standard Functions

17.29

Problem 6 based on Laplace Transform of Standard Functions

7.12

Problem 6 based on Laplace Transform of Standard Functions

7.12

Change of Scale Property

6.22

Change of Scale Property

6.22

Problem 1 on Change of Scale Property

7.22

Problem 1 on Change of Scale Property

7.22

First Shifting Theorem

5.12

First Shifting Theorem

5.12

Problem 1 based on First Shifting Theorem

11.01

Problem 1 based on First Shifting Theorem

11.01

Problem 2 based on First Shifting Theorem

10.43

Problem 2 based on First Shifting Theorem

10.43

Problem 3 based on First Shifting Theorem

8.1

Problem 3 based on First Shifting Theorem

8.1

Problem 4 based on First Shifting Theorem

3.5

Problem 4 based on First Shifting Theorem

3.5

How to Derive Complementary Error Function in Laplace Transform

4.14

How to Derive Complementary Error Function in Laplace Transform

4.14

Problem on Complementary Error Function in Laplace Transform

18.2

Problem on Complementary Error Function in Laplace Transform

18.2

Multiplication by 't' property

17.36

Multiplication by 't' property

17.36

Problem 1 based on Multiplication by 't' property

13.09

Problem 1 based on Multiplication by 't' property

13.09

Problem 2 based on Multiplication by 't' property

10.04

Problem 2 based on Multiplication by 't' property

10.04

Problem 3 based on Multiplication by 't' property

12.4

Problem 3 based on Multiplication by 't' property

12.4

Problem 4 based on Multiplication by 't' property

8.36

Problem 4 based on Multiplication by 't' property

8.36

Problem 5 based on Multiplication by 't' property

7.36

Problem 5 based on Multiplication by 't' property

7.36

Problem 6 based on Multiplication by 't' property

8.33

Problem 6 based on Multiplication by 't' property

8.33

Division by 't' Property - Proof & formula

6.59

Division by 't' Property - Proof & formula

6.59

Problem 1 based on Division by 't' Property

9.19