Maths.Engineering Platform Walkthrough

Maths.Engineering Platform Walkthrough

1. Double Integral

1.1 Introduction

1.2 Evaluation of Double Integrals

1.3 Double Integrals

1.4 Solved Problem 1

1.5 Solved Problem 2

1.6 Solved Problem 3

1.7 Solved Problem 4

1.8 Solved Problem 5

1.9 Solved Problem 6

1.10 Solved Problem 7

1.11 Solved Problem 8

1.12 Solved Problem 9

1.13 Solved Problem 10

1.14 Solved Problem 11

1.15 Solved Problem 12

1.16 Solved Problem 13

1.17 Solved Problem 14

1.18 Solved Problem 15

1.19 Solved Problem 16

1.20 Solved Problem 17

1.21 Solved Problem 18

1.22 Solved Problem 19

1.23 Solved Problem 20

1.24 Solved Problem 21

1.25 Solved Problem 22

1.26 Solved Problem 23

1.27 Solved Problem 24

1.28 Exercise

2. Triple Integral

2.1 Solved Problem 1

2.2 Solved Problem 2

2.3 Solved Problem 3

2.4 Solved Problem 4

2.5 Solved Problem 5

2.6 Solved Problem 6

2.7 Solved Problem 7

2.8 Solved Problem 8

2.9 Solved Problem 9

2.10 Solved Problem 10

2.11 Solved Problem 11

2.12 Solved Problem 12

2.13 Solved Problem 13

2.14 Solved Problem 14

2.15 Exercise

3. Change of Order of Integration

3.1 Introduction

3.2 Solved Problem 1

3.3 Solved Problem 2

3.4 Solved Problem 3

3.6 Solved Problem 5

3.7 Solved Problem 6

3.8 Solved Problem 7

3.9 Solved Problem 8

3.10 Solved Problem 9

3.11 Solved Problem 10

3.12 Solved Problem 11

3.13 Exercise

4. Change of Variables (Double Integral)

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 Exercise

5. Change of Variables (Triple Integral)

5.1 Introduction

5.2 Change of Cartesian to Spherical Co-Ordinates

5.3 Solved Problem 1

5.4 Solved Problem 2

5.5 Solved Problem 3

4.5.6 Solved Problem 4

5.7 Solved Problem 5

5.8 Solved Problem 6

5.9 Exercise

6. Application of Double Integral (Area)

6.1 Introduction

6.2 Solved Problem 1

6.3 Solved Problem 2

6.4 Solved Problem 3

6.5 Solved Problem 4

6.6 Solved Problem 5

6.7 Solved Problem 6

6.8 Solved Problem 7

6.9 Solved Problem 8

6.10 Solved Problem 9

6.11 Solved Problem 10

6.12 Solved Problem 11

6.13 Solved Problem 12

6.14 Exercise

7. Application of Triple Integral (Volume)

7.1 Solved Problem 1

7.2 Solved Problem 2

7.3 Solved Problem 3

7.4 Solved Problem 4

7.5 Solved Problem 5

7.6 Solved Problem 6

7.7 Solved Problem 7

7.8 Exercise

8. Beta Function

8.1 Introduction

8.2 Beta Function Expressed as improper Integral

8.3 Solved Problem 1

8.4 Solved Problem 2

8.5 Solved Problem 3

8.6 Solved Problem 4

8.7 Solved Problem 5

8.8 Solved Problem 6

8.9 Exercise

9. Gamma Function

9.1 Introduction

9.2 Value of Gamma (n) in Terms of Factorial

9.3 Properties of Gamma Function

9.4 Solved Problem 1

9.5 Solved Problem 2

9.6 Solved Problem 3

9.7 Solved Problem 4

9.8 Solved Problem 5

9.9 Solved Problem 6

9.10 Solved Problem 7

9.11 Solved Problem 8

9.12 Solved Problem 9

9.13 Solved Problem 10

9.14 Solved Problem 11

9.15 Solved Problem 12

9.16 Solved Problem 13

9.17 Exercise

10. Relation Between Gamma and Beta Function

10.1 Introduction

10.2 Solved Problem 1

10.3 Solved Problem 2

10.4 Solved Problem 3

10.5 Solved Problem 4

10.6 Solved Problem 5

10.7 Solved Problem 6

10.8 Solved Problem 7

10.9 Solved Problem 8

10.10 Solved Problem 9

10.11 Solved Problem 10

10.12 Solved Problem 11

10.13 Solved Problem 12

10.14 Solved Problem 13

10.15 Solved Problem 14

10.16 Solved Problem 15

10.17 Solved Problem 16

10.18 Solved Problem 17

10.19 Exercise

11. Moments and Centre of Mass, Moment of Inertia

11.1 Introduction

11.2 Solved Problem 1

11.3 Solved Problem 2

11.4 Solved Problem 3

11.5 Solved Problem 4

11.6 Solved Problem 5

11.7 Solved Problem 6