Mathematics 1
I. K. Gujral Punjab Technical University - Electronics and Communication Engineering - SEM I


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  • Lectures
  • 177 Lectures
  • Videos
  • 35.38 Hrs Video

Course Description

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Curriculum

Total Chapters: 10 177 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 : 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. 3 : 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. 4 : Indeterminate Forms

   

Problem 1 based on Form 0/0

Preview 6.5

Problem 2 based on Form 0/0

Preview 8.48

Problem 3 based on Form 0/0

9.53

Problem 4 based on Form 0/0

5.24

Problem 5 based on Form 0/0

10.37

Problem 6 based on Form 0/0

11.36

Problem 1 based on Form Infinity/Infinity

9.36

Problem 2 based on Form Infinity/Infinity

6.45

Problem 3 based on Form Infinity/Infinity

12.03

Problem 1 based on Form 0 X Infinity

5.38

Problem 2 based on Form 0 X Infinity

5.13

Problem 1 based on Form Infinity - Infinity

7.52

Problem 2 based on Form Infinity - Infinity

14.46

Problem 1 based on Form 1 raised to Infinity

7.13

Problem 2 based on Form 1 raised to Infinity

5.49

Problem 3 based on Form 1 raised to Infinity

9.4

Problem 1 based on Form Infinity raised to 0

11.24

Problem 2 based on Form Infinity raised to 0

8.1

Problem 3 based on Form Infinity raised to 0

5.22

Problem 1 based on Form 0 raised to 0

5.29

Problem 2 based on Form 0 raised to 0

9.55

Problem 1 based on Expansion of series

9.59

Problem 2 based on Expansion of series

12.16

Problem 3 based on Expansion of series

15.52

Problem 4 based on Expansion of series

8.31

Chapter No. 5 : Differential Equation of 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