This course is designed to enthuse, motivate, and challenge learners by enabling them to:

• select and apply complex mathematical techniques in a variety of mathematical situations, both practical and abstract
• extend and apply skills in problem solving and logical thinking
• extending skills in interpreting, analysing, communicating and managing information in mathematical form, while exploring more advanced techniques
• clarify their thinking through the process of rigorous proof

Topics covered include

• Formal Proof
• Partial Fractions
• The Binomial Theorem
• Differential Calculus
• The Properties of Functions
• Integral Calculus
• Differential Equations
• Arithmetic and Geometric Progression
• Sigma Notation and Power Series
• Applications of Calculus
• Complex Numbers
• Matrices
• Systems of Linear Equations
• Vectors
• Number Theory