Table of Contents

1. Algebraic methods
2. Functions and graphs
   1. 2.1 The modulus function: page 24, Example 3
   2. 2.1 Intersections of straight lines and modulus graphs: page 25, Example 5
   3. 2.2 Graphs of functions on a given domain: page 29, example 9
   4. 2.4 Inverse functions: page 37, example 16
   5. 2.5 y = |f(x)| and y = f(|x|): page 40, example 17
   6. 2.6 Combining transformations: page 46, example 21
   7. 2.7 Solving modulus problems: page 51, example 23
3. Sequences and series
4. Binomial expansion
   1. 4.1 Finding a binomial expansion: page 93, Example 2
5. Radians
   1. 5.2 Arc length: page 119, Example 7
   2. 5.2 Arc length: page 120, Example 10
   3. 5.3 Areas sectors and segments: page 123, Example 13
   4. 5.5 Small angle approximations: page 133
6. Trigonometric functions
   1. 6.2 Reciprocal trigonometric functions: page 147, Example 5
7. Trigonometry and modelling
   1. 7.1 Proving addition formulae using a geometric construction: page 168, Example 1
   2. 7.5 Transforming trigonometric graphs: page 182, Example 14
   3. 7.5 Maximums and minimums of trigonometric curves: page 184, Example 17
   4. 7.7 Modelling with trigonometric functions: page 189, example 21
8. Parametric equations
   1. 8.1 Parametric curves: page 199, Example 2
   2. 8.2 Graphing parametric equations using trigonometric identities: page 203, Example 4
   3. 8.2 Graphing parametric equations using trigonometric identities: page 204, Example 5
   4. 8.3 Graphing parametric equations: page 207, Example 7
   5. 8.4 Parametric equations with a variable coefficient: page 209, Example 8
   6. 8.5 Modelling with parametric equations: page 217, Example 13
9. Differentiation
   1. 9.1 The relationship between sin and cos and their derivatives: page 232, Example 1
   2. 9.2 Differentiating exponentials and logarithms: page 235, Example 4
   3. 9.5 The quotient rule: page 243, Example 13
   4. 9.7 Parametric differentiation: page 250, Example 20
   5. 9.9 Using second derivatives: page 259, Example 26
10. Numerical methods
    1. 10.1 Locating roots: page 276, example 3
    2. 10.2 Iteration: page 280, example 5
    3. 10.3 The Newton-Raphson method: page 284, example 6
11. Integration
    1. 11.8 Finding areas: page 313 Example 22
    2. 11.8 Finding areas: page 314, example 23
    3. 11.9 The trapezium rule: page 319, example 25
    4. 11.10 Solving differential equations: page 323
    5. 11.11 Modelling with differential equations: page 326, example 28
12. Vectors
    1. 12.1 3D coordinates: page 339, example 3
    2. 12.2 Vectors in 3D: page 342, example 8
    3. 12.3 Solving geometric problems: page 345, example 9