Maths.Engineering Platform Walkthrough

Maths.Engineering Platform Walkthrough

1. Partial Differentiation

1.1 Introduction

1.2 Solved Problem 1

1.3 Solved Problem 2

1.4 Solved Problem 3

1.5 Solved Problem 4

1.6 Solved Problem 5

1.7 Solved Problem 6

1.8 Solved Problem 7

1.9 Solved Problem 8

1.10 Solved Problem 9

1.11 Exercises

2. Euler's Theorems

2.1 Introduction

2.2 Euler’s theorem

2.3 Solved Problem 1

2.4 Solved Problem 2

2.5 Solved Problem 3

2.6 Solved Problem 4

2.7 Solved Problem 5

2.8 Solved Problem 6

2.9 Solved Problem 7

2.10 Solved Problem 8

2.11 Solved Problem 9

2.12 Exercises

3. Total Derivatives

3.1 Introduction

3.2 Solved Problem 1

3.3 Solved Problem 2

3.4 Solved Problem 3

3.5 Solved Problem 4

3.6 Exercises

4. Derivative on Implicit Functions

4.1 Introduction

4.2 Solved Problem 1

4.3 Solved Problem 2

4.4 Solved Problem 3

4.5 Solved Problem 4

4.6 Solved Problem 5

4.7 Solved Problem 6

4.8 Solved Problem 7

4.9 Solved Problem 8

4.10 Solved Problem 9

4.11 Solved Problem 10

4.12 Solved Problem 11

4.13 Solved Problem 12

4.14 Exercises

5. Change of variable

5.1 Introduction

5.2 Solved Problem 1

5.3 Solved Problem 2

5.4 Solved Problem 3

5.5 Solved Problem 4

5.6 Solved Problem 5

5.7 Solved Problem 6

5.8 Solved Problem 7

5.9 Solved Problem 8

5.10 Exercises

6. Jacobian's

6.1 Introduction

6.2 Two important properties of Jacobian

6.3 Chain rule for Jacobian

6.4 Standard Jacobian's

6.5 Solved Problem 1

6.6 Solved Problem 2

6.7 Solved Problem 3

6.8 Solved Problem 4

6.9 Solved Problem 5

6.10 Solved Problem 6

6.11 Solved Problem 7

6.12 Solved Problem 8

6.13 Solved Problem 9

6.14 Solved Problem 10

6.15 Solved Problem 11

6.16 Solved Problem 12

6.17 Solved Problem 13

6.18 Solved Problem 14

6.19 Solved Problem 15

6.20 Solved Problem 16

6.21 Exercises

7. Taylors Series & Maclaurin Series

7.1 Introduction

7.2 Solved Problem 1

7.3 Solved Problem 2

7.4 Solved Problem 3

7.5 Solved Problem 4

7.6 Solved Problem 5

7.7 Solved Problem 6

7.8 Solved Problem 7

7.9 Solved Problem 8

7.10 Exercises

8. Maxima & Minima

8.1 Introduction

8.2 Extremum and Saddle point

8.3 Extremum and Saddle point

8.4 Methods of finding extrema of f(x , y)

8.5 Solved Problem 1

8.6 Solved Problem 2

8.7 Solved Problem 3

8.8 Solved Problem 4

8.9 Solved Problem 5

8.10 Solved Problem 6

8.11 Solved Problem 7

8.12 Solved Problem 8

8.13 Exercises

9. Lagrange's Method

9.1 Introduction

9.2 Solved problem 1

9.3 Solved problem 2

9.4 Solved problem 3

9.5 Solved Problem 4

9.6 Solved Problem 5

9.7 Solved Problem 6

9.8 Exercises