Engineering Mathematics 1
Dr. APJ Abdul Kalam Technical University - Civil Engineering - SEM I


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  • Lectures
  • 108 Lectures
  • Videos
  • 18.10 Hrs Video

Course Description

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Curriculum

Total Chapters: 9 108 Videos

Chapter No. 1 : Successive Differentiation

   

Nth derivative of Algebraic Functions - Formula

Preview 8.42

Nth derivative of Algebraic Functions - Formula

Preview 11.36

Nth derivative of Transcedental Functions - Formula

9.04

Nth derivative of Transcedental Functions - Formula

9.44

Nth derivative of Transcedental Functions - Formula

6.47

Chapter No. 2 : 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

Chapter No. 3 : Euler's theorem for 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. 4 : Expansions 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 raised to -1 x using Maclaurin's series

5.45

Expansion of (1+x) raised to 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. 5 : 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. 6 : 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. 7 : Matrices

   

Orthogonal Matrices - Concept

Preview 3.07

Problem 1 based on Orthogonal Matrices

Preview 5.26

Problem 2 based on Orthogonal Matrices

8.54

Problem 3 based on Orthogonal Matrices

5.4

Unitary Matrices - Concept

3.32

Problem 1 based on Unitary Matrices

7.09

Problem 2 based on Unitary Matrices

12.2

Chapter No. 8 : Double Integrals

   

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

Chapter No. 9 : Beta and Gamma functions

   

Problem 1 based on Gamma Function

Preview 7.4

Problem 2 based on Gamma Function

Preview 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

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.