Engineering Mathematics 2
Pune University - Civil Engineering - SEM II


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  • Lectures
  • 99 Lectures
  • Videos
  • 19.79 Hrs Video

Course Description

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Curriculum

Total Chapters: 4 99 Videos

Chapter No. 1 : Differential Equations

   

What is Exact Differential Equation ?

Preview 5.33

Problem no 1 on Exact differential Equation

Preview 7.4

Problem no 2 on Exact differential Equation

8.48

Problem no 3 on Exact differential Equation

10.27

Equations Reducible to Exact by Integrating Factors

5.38

Problem no 3 on Equation Reducible To Exact

11.21

Problem no 4 on Equation Reducible To Exact

9.01

Problem no 5 on Equation Reducible To Exact

18.39

Problem no 6 on Equation Reducible To Exact

14.42

What is Linear Differential Equation

4.41

Problem No.1 on Linear Differential Equation

5.41

Problem No.2 on Linear Differential Equation

6.58

Equation Reducible to Linear Form

4.17

Problem 1 on Equation Reduciable to Linear Form

10.06

Problem 2 on Equation Reduciable to Linear Form

9

Problem 3 on Equation Reduciable to Linear Form

13.51

Problem 4 on Equation Reduciable to Linear Form

8.37

Higher Order Differential Equation - Introduction

6.19

Solution of Higher Order Differential Equation with Constanr Coefficient

21.04

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

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

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

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

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

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

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

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

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

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

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

6.56

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

6.27

Chapter No. 3 : 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

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

8.11

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

23.5

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

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

Problem 1 based on Gamma Function

7.4

Problem 2 based on Gamma Function

14.21

Problem 3 based on Gamma Function

9.39

Problem 4 based on Gamma Function

8.26

Problem 5 based on Gamma Function

6

Misellaneous Problem No 1 on Gamma Function

11.36

Misellaneous Problem No 2 on Gamma Function

6.28

Misellaneous Problem No 3 on Gamma Function

11.14

Misellaneous Problem No 4 on Gamma Function

12.37

Duplication Formula - Proof

16.13

Beta Function - Definition & Formula

7.3

Problem no.1 on beta function (Type-I)

8.15

Problem no.2 on beta function (Type-I)

7.16

Problem no.3 on beta function (Type-I)

7.3

Problem no.4 on beta function

11.57

Problem no.5 on beta function

9.44

Problem no.6 on beta function

9.13

Problem no.7 on beta function

10.37

Problem no.8 on beta function

17.24

Problem no.9 on beta function

10.52

Problem no.10 on beta function

13.46

Problem no.11 on beta function

8.27

Problem no.12 on beta function

4.54

Problem no.13 on beta function

6.09

Problem no.14 on beta function

12.25

Problem no.15 on beta function

5.42

Problem no.16 on beta function

6.29

Problem no.17 on beta function

4.24

Problem no.18 on beta function

4.55

Problem no.19 on beta function

4.46

Problem no.20 on beta function

7.44

Chapter No. 4 : Integral Calculus

   

What is curve tracing ?

Preview 10.09

How to find point of intersection in curve tracing ?

Preview 7.25

How to find critical point and shape of the curve in curve traving

9.14

Tracing of parabola in curve tracing

19.29

Chapter No. 6 : Multiple Integrals & their Applications

   

How to Evaluate Double Integrals ?

Preview 13.01

Problem No 1 on Double Intrgrals

Preview 7.07

Problem No 2 on Double Intrgrals

8.23

Problem No 3 on Double Intrgrals

7.23

Problem No 4 on Double Intrgrals

18.25

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.