Here is the tentative schedule of this course, this schedule may be updated according to the progress.

Monday

Tuesday

Thursday

Friday

-

3 July

Introduction, Basic Set Theory and Simple Logic

Tutorial 1 (solution)

5 July

Proof Techniques

Tutorial 2 (solution)

6 July

Functions and Counting

Tutorial 3 (solution)

9 July

Simple Probability & Limit

Tutorial 4 (solution) & Tutorial 5 (solution)

10 July

Differentiation

Tutorial 6 (solution)

12 July

Differentiation by Chain Rule

Tutorial 7 (solution)

13 July

Derivative of Elementary Functions

Tutorial 8 (solution)

16 July

Applications of Differentiation

Tutorial 9 (solution)

17 July

Limit by L'Hospital's Rule

Tutorial 10 (solution)

19 July

Indefinite Integrals

Tutorial 11 (solution)

20 July

Methods of Integration

Tutorial 12 (solution)

23 July

Definite Integrals

Tutorial 13 (solution)

24 July

Class cancelled due to typhoon signal 8

26 July

More on Definite Integrals

Tutorial 14 (solution)

27 July

Integration by Parts and Improper Integrals

Tutorial 15 (solution)

30 July

Applications of Definite Integrals

Tutorial 16 (solution)

31 July

Vector -  Basics Operations

Tutorial 17 (solution)

2 August

Vector - More Operations

Tutorial 18 (solution)

3 August

Matrix - Basic Operations

Tutorial 19 (solution)

6 August

Matrix - More Operations

Tutorial 20 (solution)

7 August

System of Linear Equations

Tutorial 21 (solution) Video1, Video2

9 August

 Linear Independence

Tutorial 22 (solution)

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10 August

Vector Space

Tutorial 23 (solution)

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The videos are taken from Khan Academy's website (http://www.khanacademy.org), and are for supplementary only.

The following are cheat sheets found from the Web. They are closely related to our course syllabus. You can print them out to help you practicing questions found in the lecture slides and tutorials. Note that you can't bring these sheets in your test.