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.

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Frequently Asked Questions

How long do I have access to the course materials?

You can view and review the lecture materials indefinitely, like an on-demand channel.

Can I take my courses with me wherever I go?

Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don’t have an internet connection, some instructors also let their students download course lectures. That’s up to the instructor though, so make sure you get on their good side!