# Engineering Mathematics

Section 10b Representation of complex numbers pages 525-531  Video

Section 10b notes

Section 10c Multiplication and division in polar form pages 532-537 Video

Section 10c notes

Section 10D Powers and Roots of Complex numbers pages 538-543

Notes on Section 10D Powers and Roots of Complex numbers pages 538-543

Section 10D Powers and Roots of Complex Numbers Pages 544-547

Notes on Section 10D Powers and Roots of Complex Numbers Pages 544-547

Section 10E Exponential Form of Complex Numbers Pages 548-553

Notes on Section 10E Exponential Form of Complex Numbers Pages 548-553

### Chapter 17: Fourier Series

A good link to visualize Fourier series is the following: Graphs

A useful application is here Sign your name in the circle and see how it is reproduced. If you click the theory link then you will see the relevance of Fourier series.

Another graphical link to Fourier series is blog

Youtube video on Fourier series is here

Year 2017-18 Videos

Lecture 5 on Logarithmic Function Section 5C

Lecture 6 on Hyperbolic Functions Section 5E

Lecture 7 Hyperbolic Functions Section 5E

### Chapter 6 Differentiation

The Derivative – Section 6A

Section 6A lecture notes

Derivatives of functions – Section 6B

Section 6B notes

Chain Rule Revisited – Section 6C

Section 6C Notes

Product and Quotient Rules – Section 6D

Section 6D

Section 6E Higher Derivatives

Section 6E Notes

Section 6F Parametric Differentiation

Section 6F Notes

Section 6F Parametric Differentiation Part II

Section 6f Part II Notes

Additional material which is freely available at:

A glossary is available at the following url:

http://www.palgrave.com//resources/CW%20resources%20(by%20Author)/S/Singh/glossary.pdf

Matlab notes available at the following url:

Sample Engineering Mathematics Examination Questions:

Sample Examination Engineering Mathematics Questions

Beer Barrel Problem

Old Formulae Sheets

The following questions were developed by Laurence Taylor.

Here is a revision checklist written by Laurence Taylor

Revision Checklist for Engineering Mathematics

#### A book on Differential Calculus by Jaromir Kuben

A good book for lots of examples in

#### A book on Integral Caculus by Jaromir Kuben

This is an excellent interactive book:

#### Integral Calculus

Differential Calculus for Functions of a Single Variable by Jaromir Kuben