Applied Mathematics - II
Mumbai University - Mechanical Engineering - SEM II


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  • Lectures
  • 117 Lectures
  • Videos
  • 20.01 Hrs Video

Course Description

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Curriculum

Total Chapters: 7 117 Videos

Chapter No. 1 : Beta & Gamma Function

   

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

Preview 11.14

Misellaneous Problem No 4 on Gamma Function

Preview 12.37

Duplication Formula - Proof

Preview 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. 2 : Differentiation Under Integral Sign ( DUIS )

   

problem 1 based on Differentiation under Integral Sign (one parameter)

11.26

problem 2 based on Differentiation under Integral Sign (one parameter)

15.52

problem 3 based on Differentiation under Integral Sign (one parameter)

12.2

problem 4 based on Differentiation under Integral Sign (one parameter)

Preview 19.34

problem 5 based on Differentiation under Integral Sign (one parameter)

Preview 15.58

problem 1 based on Differentiation under Integral Sign (two parameter)

11.53

problem 2 based on Differentiation under Integral Sign (two parameter)

11.04

problem 3 based on Differentiation under Integral Sign (two parameter)

12.54

Chapter No. 3 : Numerical Integration

   

Problem on Trapezoidal rule

8.11

What is Simpson's One-Third Rule ?

7.55

Problem 1 on Simpson's One-Third Rule

9.08

Problem 2 on Simpson's One-Third Rule

13.39

What is Simpson's Three-Eigth Rule ?

7.41

Problem 1 on Simpson's Three-Eigth Rule

8.13

Problem 2 on Simpson's Three-Eigth Rule

8.24

Chapter No. 4 : Differential Equation of First order and First Degree

   

What is Exact Differential Equation ?

5.33

Higher Order Differential Equation - Introduction

Preview 6.19

Solution of Higher Order Differential Equation with Constanr Coefficient

Preview 21.04

Problem no 1 on Exact differential Equation

7.4

Problem no 2 on Exact differential Equation

8.48

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

Problem no 3 on Exact differential Equation

10.27

Equations Reducible to Exact by Integrating Factors

5.38

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

Problem no 3 on Equation Reducible To Exact

11.21

Problem no 4 on Equation Reducible To Exact

9.01

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

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

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

Problem No.2 on Linear Differential Equation

6.58

Equation Reducible to Linear Form

4.17

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

Problem 1 on Equation Reduciable to Linear Form

10.06

Problem 2 on Equation Reduciable to Linear Form

9

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

Problem 3 on Equation Reduciable to Linear Form

13.51

Problem 4 on Equation Reduciable to Linear Form

8.37

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

Solution of Higher Order Differential Equation with Constanr Coefficient

21.04

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 = 0

8.56

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

13.18

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

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. 5 : Double Intrgrals

   

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

Evaluation of Integral over a given Region - Problem 1

17.28

Evaluation of Integral over a given Region - Problem 2

14.16

Evaluation of Integral over a given Region - Problem 3

14.14

Chapter No. 6 : Curve Tracing

   

What is curve tracing ?

10.09

How to find point of intersection in curve tracing ?

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. 7 : Rectification of Plane Curves

   

Rectification - Formula & Concept

Preview 13.1

Basic Graphs & their Equations

Preview 12.24

Length of Cartesian Curves - Rectification - Problem 1

8.01

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.