Complete A-Level Pure Maths Course in 10 Lectures


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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 teaches:

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: factorisation, 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 summarises 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.

What you’ll learn

  • A-Level Mathematics: pure maths topics
  • Sequence and Series
  • Binomial Expansion
  • Trigonometry
  • Algebra, Functions, and Parametric Equations
  • Differentiation
  • Integration

Are there any course requirements or prerequisites?

  • The course is ideal for students in their final year of A- Level Mathematics studies to prepare for exams and achieve better grades.
  • Students in their AS/GCSE levels wanting to challenge themselves by studying ahead can also use this course.

Who this course is for:

  • Students in their final years of A- Level Mathematics studies
  • GCSE/AS- Level Mathematics students who want to study ahead


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