## Mathematics IB

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 ▲ Go to top ▲
 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 ▲ Go to top ▲
 TOPIC 5: STATISTICS AND PROBABILITY Sub-topics Price Variance and standard deviation £4.00 Probability properties £4.00 Bayes' theorem £4.00 ▲ Go to top ▲
 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