Mathematics IB
HIGHER LEVEL
HIGHER LEVEL
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| TOPIC 1: ALGEBRA | Sub-topics | Price |
| Sequences and series | Number patterns, Sequences, series and sigma notation | £4.00 |
| Arithmetic sequences | £4.00 | |
| The sum of an arithmetic series | £4.00 | |
| Geometric sequences | £4.00 | |
| The sum of geometric series | £4.00 | |
| Convergent and divergent series | £4.00 | |
| Recursive functions | £4.00 | |
| Factorial notation | £4.00 | |
| Counting methods: Combinations and Permutations | £4.00 | |
| The Binomial theorem | The binomial theorem | £4.00 |
| Mathematical induction | £4.00 | |
| Conjugate root theorem | £4.00 | |
| Systems of equations | Solving systems of equations: two linear equations with two unknowns with complex coefficients | £4.00 |
| Systems of three linear equations with three unknowns | £4.00 | |
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| TOPIC 2: FUNCTIONS AND EQUATIONS | Sub-topics | Price |
| Special functions and their graphs | Special functions | £4.00 |
| Identity and inverse function | £4.00 | |
| Transformations of graphs of functions | £4.00 | |
| Graphing (1/f(x)) form f(x) | £4.00 | |
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| TOPIC 5: STATISTICS AND PROBABILITY | Sub-topics | Price |
| Variance and standard deviation | £4.00 | |
| Probability properties | £4.00 | |
| Bayes' theorem | £4.00 | |
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| TOPIC 6: CALCULUS | Sub-topics | Price |
| Limits | An informal treatment of limits | £4.00 |
| Asymptotes and continuityn | £4.00 | |
| Finding limits algebraically | £4.00 | |
| Derivative | The gradient function | £4.00 |
| The chain rule | £4.00 | |
| Product rule | £4.00 | |
| The quotient rule | £4.00 | |
| Higher derivatives | £4.00 | |
| Graphical meaning of the derivative | £4.00 | |
| Differentiation of implicit functions | £4.00 | |
| Applications of Derivative | Kinematics | £4.00 |
| Economics | £4.00 | |
| Optimisation | £4.00 | |
| Related rates | £4.00 | |