Introduction | |
Implication and induction | |
Composite and inverse functions | |
Transforming graphs | |
The modulus function | |
Review exercise 1 | |
Relations between trigonometric functions | |
Trigonometric equations | |
Circular functions | |
Reciprocal functions | |
Inverse circular functions | |
Review exercise 2 | |
Continuous random variables | |
The normal distribution;Review exercise 3 | |
Extending differentiation and integration | |
Differentiating exponentials and logarithms | |
Differentiating products and quotients | |
Volumes of revolution;Review exercise 4 | |
Vectors | |
Scalar products of vectors | |
Sets of linear equations | |
Lines in 3-dimensions | |
Review exercise 5 | |
The chain rule | |
Differentiating circular functions | |
Integrating products | |
Differential equations | |
Review exercise 6 | |
Planes | |
The vector product | |
Review exercise 7 | |
Integration by substitution | |
Curves defined implicitly | |
Differentiating inverse trigonometric functions | |
Review exercise 8 | |
Matrices | |
Inverse matrices | |
Determinants | |
Review exercise 9 | |
Complex numbers | |
The complex plane | |
Complex numbers in polar form | |
De Moivre's theorem | |
Further trigonometry | |
Review exercise 10 | |
Answers | |
Index | |
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