Complete A-Level Pure Maths Course in 10 Lectures

Founded by two recent Cambridge graduates, Westbound Maths has been running in-person training for students based in North London since 2018, and now we are online. Our courses are designed for Exam Preparation and Grade Improvement with proven results- 88% of our past students improved their final grades by at least one band from predicted grades.

What Complete A-Level Pure Maths Crash Course in 10 Lectures teach:

The Westbound Maths Complete A-Level Pure Maths Course covers the entire A-Level pure maths syllabus which represents 2/3 of the final exam weight for A-Level Mathematics qualification. The course consists of 10 lectures with over 15 hours of class videos, accompanying exam- styled homework and detailed mark scheme for the following topics:

• Sequence and Series: arithmetic/geometric sequence and series

• Binomial expansion

• Trigonometry part I: sine and cosine rules, area of a triangle, radian, arc length and area of a pie.

• Trigonometry part II: trigonometric identities, double angle formulae, solving trigonometric functions

• Algebra, Functions and Parametric Equations part I: factorization, long division, partial fractions, modulus functions, exponential and logarithm functions.

• Algebra, Functions and Parametric Equations part II: composite and inverse functions, transformation of the graph of f(x), coordinate geometry in the (x,y) plane: functions of line and circle, and parametric equations.

• Differentiation part I: definition of derivative and differentiation, their graphic representation and interpretation; methods of differentiation including chain rule, product rule, quotient rule, differentiation through inverse functions and connected rate of change.

• Differentiation part II: how to differentiate trigonometric functions, exponential and logarithm functions, parametric equations and implicit functions; the definition of stationary point, second derivative and point of inflection; modelling questions on differentiation.

• Integration part I: memory items for direct integration, integrating trigonometric functions, reverse chain rules, integration by substitution, and integration by parts.

• Integration part II: integration using Partial Fractions, application of integration: finding areas under the curve using integration, solving differential equations, and the trapezium Rule

How to fully utilize the course materials:

• Class video: we always start with the key concepts and definition within a topic, and then jump straight into a past exam question (sourced across major exam boards) to see how these concepts are tested and applied, then you will be given an exam-styled classroom exercise for practice followed by a detailed step-by-step guide on how to solve it.

• Handouts: every lecture is accompanied with a handout that summarizes key concepts covered, exam- styled question solving examples, and classroom exercise solutions.

• Homework with exam-styled questions: for each lecture, the homework contains 4 exam-styled questions which should be completed under exam conditions to help students identify any knowledge gap.

• Mistake Diagnosis : use the detailed sample solution to diagnose any mistake in homework which is the key to grade improvement.