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Course Content
Algebra
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Algebra
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Partial fractions
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Partial fractions
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Polynomials
Identities, equations and inequalities
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Inequalities
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Functions
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Functions and their curves
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Sequences and Series
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Arithmetic and geometric progressions
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AP/GP Summary
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Maclaurin’s series
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The binomial series
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Circular measure
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The circle and its properties
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Trigonometry
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Introduction to trigonometry
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Trigonometric graphs
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Trigonometric identities and equations
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Logarithmic and Exponential functions
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Logarithms and exponential functions
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Differentiation
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Methods of differentiation
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Log differentiation
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Differentiation of implicit functions
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Linear first order differential equations
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Second order differential equations
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Homogeneous first order differentiation..
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Integration
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Standard integration
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Integration by parts
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Integration using partial fractions
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Integration using algebraic substitutions
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Integration using trigonometric substitution
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Numerical integration
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Applications of integration
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Numerical methods
Complex numbers
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De Moivre’s theorem
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introduction
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Complete notes
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Complex numbers summary
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Matrices
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matrices and determinants
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Induction
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Mathematical induction
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Vectors
Groups
GCE A-level Mathematics
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