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