Engineering Mathematics 1
Cochin University of Science and Technology - Civil Engineering - SEM I


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  • Lectures
  • 121 Lectures
  • Videos
  • 22.48 Hrs Video

Course Description

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Curriculum

Total Chapters: 9 121 Videos

Chapter No. 1 : Partial Differentiation

   

Partial Derivative of First Order - Problem 1

Preview 8.05

Partial Derivative of First Order - Problem 3

Preview 12.04

Partial Derivative of First Order - Problem 4

11.36

Partial Derivative of First Order - Problem 5

9.1

Partial Derivative of First Order - Problem 6

3.57

Partial Derivative of First Order - Problem 7

12.26

Partial Derivative of Second Order - Problem 1

13.22

Partial Derivative of Second Order - Problem 2

11.14

Partial Derivative of Second Order - Problem 3

14.05

Partial Derivative of Second Order - Problem 4

9.19

Partial Derivative of Second Order - Problem 5

19.59

Partial Derivative of Second Order - Problem 6

9.48

Partial Derivative of Second Order - Problem 7

14.3

Partial Derivative of Second Order - Problem 8

15.26

Partial Derivative of Second Order - Problem 9

8.56

Partial Derivative of Second Order - Problem 10

12.59

Composite Function - Definition & Example

12.08

First Order Partial Derivation of Composite Function - Problem 1

16.34

First Order Partial Derivation of Composite Function - Problem 2

13.14

First Order Partial Derivation of Composite Function - Problem 3

12.09

First Order Partial Derivation of Composite Function - Problem 4

12.59

First Order Partial Derivation of Composite Function - Problem 6

27.15

Second Order Partial Derivation of Composite Function - Problem 1

24.28

Second Order Partial Derivation of Composite Function - Problem 2

27.48

Implicit function - Definition & Example

15.07

Derivation of Implict Function - Problem 1

5.23

Derivation of Implict Function - Problem 2

4.32

Derivation of Implict Function - Problem 3

13.46

Derivation of Implict Function - Problem 4

10.1

Chapter No. 2 : Homogeneous Functions

   

Problem 1 based on Euler's Theorem

Preview 5.34

Problem 2 based on Euler's Theorem

Preview 12.4

Problem 3 based on Euler's Theorem

16.12

Problem 4 based on Euler's Theorem

5.01

Problem 5 based on Euler's Theorem

13.5

Problem 2 based on Corollary 1 of Euler's Theorem

14.35

Problem 3 based on Corollary 1 of Euler's Theorem

4.36

Problem 1 based on Corollary 2 of Euler's Theorem

9.04

Problem 2 based on Corollary 2 of Euler's Theorem

9.14

Problem 3 based on Corollary 2 of Euler's Theorem

17.32

Problem 1 based on Corollary 3 of Euler's Theorem

8.54

Problem 2 based on Corollary 3 of Euler's Theorem

11.44

Problem 3 based on Corollary 3 of Euler's Theorem

8.02

Chapter No. 3 : Jacobians

   

Problem 1 based on Jacobians of composite functions

Preview 4.46

Problem 2 based on Jacobians of composite functions

Preview 5.19

Problem 1 based on Partial derivatives using Jacobians

12.23

Problem 1 based on Functional Dependance

5.11

Problem 2 based on Functional Dependance

11.21

Problem 3 based on Functional Dependance

5.45

Chapter No. 4 : Maxima and Minima

   

Problem 2 based on Maxima & Minima of f(x,y) when f(x,y) is given

Preview 6.34

Problem 3 based on Maxima & Minima of f(x,y) when f(x,y) is given

Preview 12.53

Problem 4 based on Maxima & Minima of f(x,y) when f(x,y) is given

20.09

Problem 1 based on Maxima & Minima of f(x,y) when f(x,y) is to be formed

14.44

Problem 2 based on Maxima & Minima of f(x,y) when f(x,y) is to be formed

15.58

Problem 3 based on Maxima & Minima of f(x,y) when f(x,y) is to be formed

15.04

Problem 4 based on Maxima & Minima of f(x,y) when f(x,y) is to be formed

21.08

Problem 1 based on Lagrange's method of Undetermined Multipliers

12.3

Problem 2 based on Lagrange's method of Undetermined Multipliers

13.06

Problem 3 based on Lagrange's method of Undetermined Multipliers

10.33

Chapter No. 5 : Expansion of Functions

   

Expansion of cosx using Maclaurin's series

Preview 4.5

Expansion of sinhx using Maclaurin's series

Preview 7.12

Expansion of log(1+x) using Maclaurin's series

8.13

Expansion of tanh^-1 x using Maclaurin's series

5.45

Expansion of (1+x)^m using Maclaurin's series

4.59

Problem 1 based on Expansions using Maclaurin's series

16.05

Problem 2 based on Expansions using Maclaurin's series

8.06

Problem 3 based on Expansions using Maclaurin's series

10.31

Problem 1 based on Expansion of implicit function using Maclaurin's series

4.5

Chapter No. 6 : Differential Equations with First Order and First Degree

   

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

Chapter No. 7 : Linear Differential Equations with Constant Coefficients

   

Higher Order Differential Equation - Introduction

Preview 6.19

Solution of Higher Order Differential Equation with Constant Coefficient

Preview 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

Method of Variation of Parameter Problem 1

21.18

Method of Variation of Parameter Problem 2

18.52

Chapter No. 8 : Double Integrals

   

How to Evaluate Double Integrals ?

Preview 13.01

Problem No 1 on Double Intrgrals

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. 9 : Curve Tracing and Rectification

   

What is curve tracing ?

Preview 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

Rectification - Formula & Concept

13.1

Basic Graphs & their Equations

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.

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