Edexcel AS Pure Maths Tutorials
Outlined below are the topics covered for Edexcel AS Pure maths course
It is advisable to check the official Edexcel AS Pure maths specification in case of changes: specification
Contents for Edexcel AS Pure Maths
Algebra Basics
Polynomials
Pythagoras’ Theorem
Trigonometry
Indices
Surds
Functions
Factorising
Completing the Square
Quadratic Equations
Roots and Discriminant
Quadratic Graphs
Simultaneous Equations
Inequalities
Algebraic Long Division
Factor Theorem
Gradient of Straight Line
Straight Lines
Intersection of Graphs
Exam Questions – Straight lines
Circles
Sketching Cubic and Reciprocal Curves
Graph Transformations
Asymptotes
Binomial Expansion
Trigonometric Ratios
Graphs and Tranformations
Applications of Trigonometry
Trigonometric Equations
Trigonometric Identities
Logarithmic and Exponential Functions
Exponential Functions and Logarithms
The Exponential Function and Natural Log Functions
Modelling Curves
Introduction
Tangents and Normals
Stationary Points
Increasing and Decreasing Functions
Introduction
Equations of Curves
Definite Integration
Vectors
Prior Knowledge
Algebra Basics
Polynomials
Pythagoras’ Theorem
Trigonometry Introduction
Algebra and Functions : 1
Indices
- Introduction to indices (exponents)
- Multiplication rules for indices
- Division rule for indices
- Negative indices
- Fractions raised to a negative index
- Rational (fractional) indices
- Simplifying terms with negative powers
- Expressing terms in the form axn
- Equations in which the power has to be found
- Summary of indices
- Exam Questions - Indices
Surds
Functions
Factorising
Completing the Square
Quadratic Equations
Quadratic Equations – Roots and Discriminant
Quadratic Graphs
Simultaneous Equations
Inequalities
Algebraic Long Division
Coordinate Geometry
Gradient of Straight Lines
Straight Lines
Intersection of Graphs
Exam Questions – Straight Lines
Circles
Algebra and Functions : 2
Sketching Cubic and Reciprocal Curves
Graph Transformations
Sequences and Series
Binomial Expansion
Trigonometry
Trigonometric Ratios
Trigonometric Graphs and Transformations
Applications of Trigonometry
Trigonometric Equations
Trigonometric Identities
Logarithmic and Exponential Functions
Exponential Functions and Logarithms
- Exponential functions: what they are and their graphs
- What do we mean by a log?
- Rules of logs
- Logarithms - Change of Base
- Simplifying and expanding
- Converting between Logarithmic and Power (Exponential) equations
- Modelling exponential growth and decay
- Modelling exponential equations | Exam Questions
- Exponential and log equations
- Simultaneous equations
- Solving inequalities
- Exam Questions - Logarithms
The Exponential Function ex and Natural Log Functions
Modelling Curves of the form y=kxn and y=kax
Differentiation
Differentiation – Introduction
Tangents and Normals
Stationary Points
Increasing and Decreasing functions
Integration
Integration – Introduction
Equations of Curves
Definite Integration
Vectors
Vectors
Index
graphs:
quadratics:
transformations:
trigonometric: