Contents
1
Exponents
2
Scientific notation
3
Inverse functions
4
Composite functions
5
Composite functions applications
6
Solving equations algebraically
7
Quadratic inequalities
8
Equations containing surds
9
Remainder theorem
10
Factor theorem
11
Application quadratic equations
12
Completing the square
13
Laws of logarithms
14
Logarithms
15
Logarithm laws
16
Spotting errors in calculations involving
logarithms
17
Logarithmic equations
18
Application of logarithmic laws
19
Limits
20
Limits application
21
Summary of the calculus formulae
22
Differentiation by using first principles
23
Differentiation rules
24
Derivative notation
25
Differentiation
26
Derivative in a point
27
Sketching of graphs by using
differentiation skills
28
Application of differentiation
29
Second order derivatives
30
Point of inflection
31
Use differentiation to determine turning
points of third degree graphs
32
Sketching of third degree graphs
33
Arithmetic series
34
Geometric series
35
Mathematical modelling number patterns
36
Histogram and frequency polygon
37
Pie charts
38
Standard deviation
39
Standard deviation (comparison)
40
Measures of central tendency
41
Stem-and-leaf diagrams
42
The mode
43
Box-and-whisker diagrams
44
Cumulative frequency graphs
45
Comparing data sets
46
Comparing box diagrams
47
Application of data handling
48
Probability
49
Simple interest
50
Compound interest
51
Compound interest: Calculation of the
time period
52
Compound interest: Conversion between
nominal and effective rate
53
Coordinate geometry of linear functions
54
Use graphical method to solve linear
equations
55
Linear functions application
56
Coordinate geometry
57
Circle with centre at the origin
58
Linear functions and circles
59
Equation of circle with centre other than
the origin
60
The equation of a tangent to a circle
61
Circle
62
Application of coordinate geometry:
Intersection
63
Circle geometry
64
Cyclic quadrilaterals
65
Tangents
66
Scatter plot
67
Modelling application
68
Mathematical modelling
69
Trigonometric ratios
70
Trigonometric identities
71
Co-ratios of trigonometry
72
Negative angles
73
Trigonometry: Angles of elevation and
depression
74
Double angles
75
Compound angles
76
Area rule
77
The sine, cosine and area rule
78
Trigonometric graphs
79
Answers
