Below are the materials derived from my courses or tutorials. Hope that somebody will find it useful.
ERG2011A (Engineering Math)
This is the engineering math course by Prof Kim Chang-su in the fall sem of 2004-2005 year. Totally 11 tutorial sessions and the notes are as follows:
- Tutorial 1 (Sep 13 and 15)
Fundamental Vector Calculus - Tutorial 2 (Sep 20 and 22)
Vector Differentiation part 1 part 2 - Tutorial 3 (Sep 27)
Vector Integration - Tutorial 4 (Oct 4 and Oct 6)
More Vector Integration - Tutorial 5 (Oct 11 and 13)
Two Big Theorems in Vector Analysis - Tutorial 6 (Oct 25 and 27, Nov 1 and 3)
Differential Equations filled nb - Tutorial 7 (Nov 8 and 10)
Second-Order Linear Differential Equations - Tutorial 8 (Nov 15 and 17)
Laplace Transform - Tutorial 9 (Nov 22 and 24)
Step and Impulse Functions; Fourier Series - Reference material: Table of Laplace Transforms, mini version
- Tutorial 10 (Nov 29 and Dec 1)
Fourier Series and Fourier Transform - Tutorial 11 (Dec 6)
Ultimate Tutorial: Whole Semester in a Nutshell
ERG2013 (Engineering Math)
This is the engineering math course by Prof Will W.-Y. Ng and Prof Calvin C.-S. Chen in the fall sem of 2005-2006 year. I am responsible for the remedial class for those who do not have enough background in calculus. Below are the calculus notes:
- Remedial Lesson 1
Review of calculus Techniques instructor version - Remedial Lesson 2
All the Differentiation You Needed instructor version - Remedial Lesson 3
Indefinite Integrals instructor version - Remedial Lesson 4
More Indefinite Integrals instructor version - Remedial Lesson 5
Definite Integrals instructor version - Remedial Lesson 6
Application of calculus I instructor version - Remedial Lesson 7
Application of calculus II instructor version