What you'll learn

1. Pure Mathematics 1 Quadratics: Understand quadratic equations, their roots, and graphs. Functions: Explore different types of functions and their properties. Coordinate Geometry: Analyse lines and curves using coordinate methods. Circular Measure: Learn about radians and arc lengths. Trigonometry: Study trigonometric ratios, identities, and equations. Series: Work with arithmetic and geometric progressions. Differentiation: Learn how to find rates of change and slopes of curves. Integration: Understand the basics of integration and area under curves. 2. Pure Mathematics 2 Algebra: Extend your skills in manipulating algebraic expressions. Logarithmic and Exponential Functions: Study their properties and applications. Trigonometry: Deepen your understanding of trigonometric functions. Differentiation: Apply differentiation to more complex functions. Integration: Solve integration problems involving various functions. Numerical Solution of Equations: Learn methods to approximate solutions. 3. Pure Mathematics 3 Algebra: Further algebraic techniques and problem solving. Logarithmic and Exponential Functions: Advanced applications and problem solving. Trigonometry: Tackle more challenging trigonometric problems. Differentiation: Master advanced differentiation techniques. Integration: Work on complex integration problems. Numerical Solution of Equations: Refine numerical methods. Vectors: Understand vector quantities and their applications. Differential Equations: Introduction to solving basic differential equations. Complex Numbers: Explore the arithmetic and geometry of complex numbers. 4. Mechanics Forces and Equilibrium: Study forces acting on bodies and conditions for equilibrium. Kinematics of Motion in a Straight Line: Analyse motion using velocity and acceleration. Momentum: Understand momentum and its conservation. Newton’s Laws of Motion: Apply Newton’s laws to solve mechanics problems. Energy, Work, and Power: Explore concepts of energy transfer and work done. 5. Probability & Statistics 1 Representation of Data: Learn how to collect, organise, and display data. Permutations and Combinations: Understand counting principles. Probability: Study the basics of probability theory. Discrete Random Variables: Learn about probability distributions for discrete variables. The Normal Distribution: Explore the properties and applications of the normal distribution. 6. Probability & Statistics 2 The Poisson Distribution: Study this important discrete distribution. Linear Combinations of Random Variables: Understand how to work with sums of variables. Continuous Random Variables: Explore probability distributions for continuous variables. Sampling and Estimation: Learn methods of statistical inference. Hypothesis Tests: Understand how to test assumptions using data.