Semester I (Rashtrasant Tukadoji Maharaj Nagpur University - Production Engineering)


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  • 491 Lectures
  • Videos
  • 110 Hrs Videos

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Curriculum

Total Chapters: 6 149 Videos

Chapter No. 1 : Differential Calculus

   

Nth derivative of Algebraic Functions - Formula

8.42

Nth derivative of Algebraic Functions - Formula

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

Expansion of cosx using Maclaurin's series

4.5

Expansion of sinhx using Maclaurin's series

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

Problem 1 based on Form 0/0

6.5

Problem 2 based on Form 0/0

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 8/8

9.36

Problem 2 based on Form 8/8

6.45

Problem 3 based on Form 8/8

12.03

Problem 1 based on Form 0 X 8

5.38

Problem 2 based on Form 0 X 8

5.13

Problem 1 based on Form 8 - 8

7.52

Problem 2 based on Form 8 - 8

14.46

Problem 1 based on Form 1^8

7.13

Problem 2 based on Form 1^8

5.48

Problem 3 based on Form 1^8

9.4

Problem 1 based on Form 8 ^ 0

11.24

Problem 2 based on Form 8 ^ 0

8.1

Problem 3 based on Form 8 ^ 0

5.22

Problem 1 based on Form 0 ^ 0

5.29

Problem 2 based on Form 0 ^ 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. 2 : Partial Differentiation

   

Problem 1 based on Euler's Theorem

5.34

Problem 2 based on Euler's Theorem

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

Problem 1 based on Jacobians of composite functions

4.46

Problem 2 based on Jacobians of composite functions

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

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

6.34

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

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 : Matrices

   

Orthogonal Matrices - Concept

3.07

Problem 1 based on Orthogonal Matrices

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. 4 : First Order Differential Equations

   

What is Exact Differential Equation ?

5.33

Problem no 1 on Exact differential Equation

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