Welcome to A Level Mathematics! This course is designed to prepare you for exam 9709 Pure Mathematics 3 (or 9709 AS Pure mathematics 2). The videos below provide concept introduction and examples covering all topics of the A Level 9709 Pure Mathematics 3 syllabus. Please feel free to post questions and comments to the YouTube videos and I will reply. Wherever you are preparing for your A Levels, you have access to the course resources.

I wish you the best of success in your mathematical pursuits!

Tr. Thomas

A Level 9709 Pure Mathematics 3 syllabus

Topic 3.1 Algebra: partial fractions and binomial expansion
Topic 1 summary sheet

Topic 3.2 Logarithmic and exponential functions (covered in IGCSE 0606 syllabus)
Topic 2 summary sheet

Topic 3.3 Trigonometry: compound angle identity, double angle identity, consolidation of graphs of sin x and cos x
Topic 3 summary sheet

Topic 3.4 Differentiation: arctan x, implicit and parametric differentiation
Topic 4 summary sheet

Topic 3.5 Integration: 1/(x^2+a^2), k*f'(x)/f(x), area, volume, improper integrals, substitution, trigonometric identities, partial fractions, integration by parts
Topic 5 summary sheet

Topic 3.6 Numerical solution of equations: roots/sequences/iteration
Topic 6 summary sheet

Topic 3.7 Vectors: 3D vectors, line equations, line relationships, scalar product
Topic 7 summary sheet

Topic 3.8 Differential equations: formulation, separation of variables, initial conditions
Topic 8 summary sheet