engineering mathematics youtube workbook

TisdellEngineering Mathematics: YouTube Workbook Download free books at... Download free eBooks at bookboon.com2 Christopher C.. Tisdell Engineering Mathematics: YouTube Workbook... Dow

Christopher C Tisdell

Engineering Mathematics: YouTube Workbook

Download free books at

Download free eBooks at bookboon.com

2

Christopher C Tisdell

Engineering Mathematics:

YouTube Workbook

Download free eBooks at bookboon.com

3

Engineering Mathematics: YouTube Workbook

2nd edition

© 2013 Christopher C Tisdell & bookboon.com

ISBN 978-87-403-0522-7

Download free eBooks at bookboon.com

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Engineering Mathematics: YouTube Workbook

4

Contents

Contents

How to use this workbook 8

1 Partial derivatives & applications 11

1.1 Partial derivatives & partial diferential equations 11

1.2 Partial derivatives & chain rule 12

1.3 Taylor polynomial approximations: two variables 13

1.5 Diferentiate under integral signs: Leibniz rule 15

2 Some max/min problems for multivariable functions 17

2.1 How to determine & classify critical points 17

2.2 More on determining & classifying critical points 18

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Engineering Mathematics: YouTube Workbook

5

Contents

2.4 Another example on Lagrange multipliers 21

2.5 More on Lagrange multipliers: 2 constraints 22

3 A glimpse at vector calculus 24

3.7 Fundamental theorem of line integrals 32

3.8 Flux in the plane + line integrals 34

4 Double integrals and applications 36

4.2 Double integrals over general regions 37

4.3 How to reverse the order of integration 38

4.4 How to determine area of 2D shapes 40

4.5 Double integrals in polar co-ordinates 41

4.6 More on integration & polar co-ordinates 42

360°

thinking

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