Maths Note

PURE MATHS NOTE
by STEVIE-G™

1

Contents
Part I : Revision Notes ---------------------------------------------- p.4-36
1 MI ------------------------------------------------------------- p.4-6
2 Binomial --------------------------------------------------------- p.7-8
3 Matrix ---------------------------------------------------------- p.9-11
4 System of Linear Equation ------------------------------------------ p.12-13
5 Inequality ------------------------------------------------------- p.14-15
6 Polynomial ------------------------------------------------------- p.16-18
7 Complex Number -------------------------------------------------- p.19-20
8 Continuity & Differentiability ---------------------------------------- p.21-23
9 Integration ------------------------------------------------------- p.24-28
10 Curve Sketching -------------------------------------------------- p.29
11 Sequence -------------------------------------------------------- p.30-31
12 Function -------------------------------------------------------- p.32-33
13 Theory of Differential & Integral Calculus ----------------------------- p.34-35
14 Coordinate Geometry ---------------------------------------------- p.36

Part II : Pastpapers Analysis (00-09) --------------------------------- p.38-69
Part III : Appendix ------------------------------------------------- p.71-75

2

Part I : Revision Notes

3

#1

M.I.

- 如果 MI 出係 SQ 的話，咁多數都會用到 2nd Principle of MI , 即假設 2 個 STATEMENT 去做
- 若出有關 sequence 的 MI 的話，咁若果 sequence 有 3 個項,就要用 double assumption ,即 2nd Principle of MI
如此類推
- 留意 MI 通常係對於正整數或非負整數，對於實數是不能用 MI 的
Sequence 的 MI : Example 1 (2

1

  = 1 , 1 =

=

Principle)

3 + 17
3 − 17
−
2
2

17
1

  = 2 , 2 =

nd

3 + 17
2

17

2

−

3 − 17
2

=1

 second principle 要做

2

2 個 CASE

1

9 + 6 17 + 17 − 9 − 6 17 + 17
4
17

=3

1

=

17

+1 =

3 + 17
2

1
17



3 + 17
2

3 − 17
2

−
+1...