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C2 Tutorials
A Level Maths
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MEI
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C2 Tutorials
C2 Tutorials
Stuart the ExamSolutions Guy
2016-09-23T13:48:35+00:00
C2 Tutorials – MEI A Level Maths
Sequences and Series
Working with Sequences and Series
Definition and finding the nth term
Recurrence relationships
Exam Questions - Recurrence relationships
Sigma notation
Exam Questions - Sigma notation
Arithmetic Progressions
Arithmetic progressions
Sum of the first n terms
Finding a and d given two terms
Working with consecutive terms
Exam Questions - Arithmetic sequences and series
Examsolutions Beastie - Arithmetic progressions
Geometric Series
Geometric series
Proof of sum of first n terms, S
_{n}
Sum to infinity
Exam Questions - Geometric series
Binomial Expansion
Binomial expansion
Binomial expansion formula
Exam Questions - Binomial expansion, basic expansions
Exam Questions - Binomial expansion, comparing coefficients
Exam Questions - Binomial expansion, estimating a value
Exam Questions - Binomial expansion, other
Differentiation
Differentiation – Introduction
The gradient function dy/dx
Differentiation - terms of the form ax
^{n}
The second derivative
Exam Questions - Differentiation: introduction
Tangents and Normals
Equations of tangents and normals
Exam Questions - Tangents and normals
Stationary Points
Stationary points
Nature of a stationary point
Exam Questions - Stationary points
Applications of stationary points
Exam Questions - Applications of stationary points
Increasing and Decreasing functions
Increasing and decreasing functions
Exam Questions - Increasing and decreasing functions
Integration
Integration – Introduction
Integration - Terms of the form ax
^{n}
Exam Questions - Integration: introduction
Equations of Curves
Finding the equation of a curve given the gradient function
Exam Questions - Equations of curves
Definite Integration
Definite integration
Infinite integrals
Applications of Integration – Area bound by a curve
Area bound by a curve and x-axis
Exam Questions - Area bound by a curve and x-axis
Area bound by a curve and y-axis
Exam Questions - Area bound by a curve and y-axis
Trigonometry
Trigonometric Ratios
Trigonometric ratios for 30°, 45° and 60°
Trig ratios for multiples of 30°, 45° and 60°
Trigonometric Graphs and Transformations
Trigonometric graphs
Translations of trig graphs
Reflections of trig graphs
Stretches of trig graphs
Combining transformations
Exam Questions - Trigonometric graphs and transformations
Applications of Trigonometry
Area of a triangle - Given two sides and an included angle
Sine rule
Exam Questions - Sine rule
Cosine rule
Radians
Arcs, sectors and segments
Exam Questions - Arcs, sectors and segments
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
Exponential and log equations
Simultaneous equations
Solving inequalities
Exam Questions - Logarithms
Modelling Curves of the form y=kx
^{n}
and y=ka
^{x}
Modelling curves - Converting to linear form
Modelling curves - numerical example