Welcome to A Level 9709 Mathematics! This course is designed to prepare you for A Level paper 9709 Pure Mathematics 1. If you have taken IGCSE 0606 Additional Mathematics, you have learned the majority of these topics. The videos below provide concept introduction and examples. If you are a registered student in the class (email me at the link above to request free registration), you have access to the interactive quizzes as well. Please feel free to post questions and comments to the YouTube videos and I will reply. Wherever you are completing your A Levels, you have access to the course resources.

I look forward to working with you on A Level 9709 Pure Mathematics 1!

Tr. Thomas

A Level 9709 Pure Mathematics 1 2020 syllabus

Topic 1.1 Quadratics: completing the square, discriminant, quadratic equations, quadratic inequalities, simultaneous equations, quadratic substitution
Topic 1 summary sheet

Topic 1.2 Functions: Range, composite functions, inverse functions and graphs, transformations
Topic 2 summary sheet

Topic 1.3 Coordinate geometry: straight lines, problem solving, circle equations, graphs
Topic 3 summary sheet

Topic 1.4 Circular measure: radian measure, problem solving
Topic 4 summary sheet

Topic 1.5 Trigonometry: graphs, trigonometric functions, inverse functions, identities, trigonometric equations
Topic 5 summary sheet

Topic 1.6 Series: binomial theorem, arithmetic and geometric progressions, problem solving, convergent geometric progressions
Topic 6 summary sheet

Topic 1.7 Differentiation: power functions, gradient, tangents and normals, increasing and decreasing functions, rates of change, stationary points
Topic 7 summary sheet

Topic 1.8 Integration: power functions, constant of integration, definite integrals, improper integrals, area between curves, volumes of revolution
Topic 8 summary sheet