Mathematical Techniques

Mathematical Techniques

Additional Material

Power Series

Exercises

Complete Solutions to the Exercises

Fourier Series

Videos on Fourier series are under the engineering mathematics link.

Section A Exercise 17a
Section B Exercise 17b Complete Solutions to Exercises 17b
Section C Further Fourier Series Exercise 17c Complete Solutions to Exercises 17c
Section D Odd and Even functions Exercise 17d Complete solutions to Exercise 17d
Section E General Period Exercise 17e Complete solutions to Exercise 17e
Sectiion F Half Range Series Exercise 17f Complete solutions to Exercise 17f
Review of Fourier Series Complete Solutions to Sample Exam and Test Questions

 

Some links on 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

Notes on Improper Integrals by Professor Martin Hardcastle

Improper Integrals Exercises on Improper Integrals Solutions to the Exercises

Supplementary Tutorial Questions

Supplementary Questions on Differentiation and Complete Solutions to these Problems

Supplementary Problems on Indefinite Integration  and Complete Solutions to these Problems

Supplementary Problems on Integration and Complete Solutions to these Problems

Supplementary Problems on Infinite Series and Complete Solutions to these Problems

Supplementary Problems on Infinite Series II  and  Complete Solutions to these Problems

Supplementary Problems on Limits and Complete Solutions to these Problems


Older test and Coursework

This is all the work of Dr Steve Kane.