ONLINE COURSES
AS AND A-LEVEL MATHS REVISION ONLINE CLASSES
SUMMER COURSES
Maths Revision summer courses are designed for the Cambridge exam specification. By giving students tips and tricks to save time and identifying common mistakes, I will provide students with the tools to perform at their very best during the exam season. Students are supported beyond the course as we provide handouts that include both course notes and relevant past-paper questions.
I will teach topics by going through past paper questions to consolidate learning and practice exam technique. This past paper practice will be used to give tips about how to get the most marks and the best approach to answering questions. Any weaknesses can be identified and worked on before moving on to the next topic. My courses cover the whole range of AS and A Level Maths which means they are a great way to kick start revision or can be used to identify and fill in any gaps in knowledge. You should leave the courses feeling confident and prepared for your exams.
AS- Level Online Summer Course Content
Day 1
Session 1: Algebra & Functions
– Linear equations
– Algebraic Manipulation
– Quadratic Functions
Break
Session 2: Algebra & Functions
– Graphs and Transformations
– Functions
– Simultaneous Equations
– Inequalities
LUNCH
Session 3: Coordinates
Day 2
Session 3: Coordinates
– The gradient of a line
– Straight Lines
Break
Session 3: Coordinates
– Finding the equation of a line
– The intersection of two lines
– The intersection of a line and a curve
– Circles
LUNCH
Session 4: Sequences & Series
– Arithmetic and Geometric Sequences
– Binomial Expansion
Day 3
Session 5: Trigonometry
– Definitions and Graphs
– Sine and Cosine Rules
– Identities and Proofs
– Solving Equations
LUNCH
Session 3: Coordinates
– Circular measure
– The length of an arc of a circle
– The area of a sector of a circle
Day 4
Session 6: Differentiation
– First Principles and Interpretation
– Methods of Differentiation
– Tangents and normal
– Maximum and minimum points
LUNCH
Session 6: Differentiation
– Increasing and decreasing functions
– Second Derivate
– Applications of Differentiation
– Chain Rule
Day 5
Session 7: Integration
– Finding the area under the curve
– Area between two curves
– Methods of Integration
– Definite Integrals
LUNCH
Session 8:
Past paper resolution and extra question practice on topics students request
Statistics Online Summer Course Contents
Day 1
Session 1
– Mean, Median and Quartiles
– Standard Deviation
– Statistical Diagrams
Break
Session 2
– Probability Trees
– Independent, Dependent, Mutually Exclusive Events
LUNCH
Session 3
– Discrete Probability Distributions
– Binomial Distribution; Normal Distribution
– Normal Approximation to the Binomial Distribution
Day 2
Session 4
– Extra question practice on topics students request
A-Level Online Summer Course Content
Day 1
Session 1: Algebra & Functions
– Modulus functions
– Solving modulus inequalities
– Division of polynomials
Break
Session 2: Exponentials & Logarithms
– Logarithms to base 10
– Logarithms to base a
– The laws of logarithms
LUNCH
Session 3: Exponentials & Logarithms
– Solving logarithmic equations
– Solving exponential equations
– Solving exponential inequalities
Day 2
Session 1: Trigonometry
– The cosecant, secant and cotangent ratios
– Compound angle formulae
– Further trigonometric identities
Break
Session 2: Trigonometry
– Expressing a sin(β)+bcos(β) in the form Rsin(β±α)
– Identities and Proofs
Break
Session 3: Differentiation
– Product and Quotient Rules
– Derivates of exponential functions
Session 4: Differentiation
– Derivates of natural logarithmic functions
– Derivates of trigonometric functions
Day 3
Session 1: Differentiation
– Implicit differentiation
– Parametric differentiation
Break
Session 2: Further algebra
– Improper algebraic fractions
– Partial fractions
– Binomial expansion of (1+x)n for values of n that are not positive integers
– Binomial expansion of (a+x)n for values of n that are not positive integers
– Partial fractions and binomial expansions
Day 4
Session 1: Integration
– Integration of exponential functions
– Integration of 1/ax+b
– Integration of sin(ax+b), cos(ax+b) and sec2(ax+b)
– Further integration of trigonometric functions
Break
Session 2: Integration
– Derivate of tan-1x
– Integration of 1/x2+a2
– Integration of k f’(x)/f(x)
LUNCH
Session 3: Integration
– Integration by Substitution and Parts
– The use of partial fractions in integrations
Day 5
Session 1: Numerical Methods
– Change of Sign Method
– Iterative Methods
Break
Session 2: Differential equations
– The technique of separating the variables
– Forming a differential equation from a problem
– Integration of k f’(x)/f(x)
LUNCH
Session 3: Vectors
– Displacement or translation vectors
– The scalar product
– The vector equation of a line
– Intersection of two lines
Day 6
Session 1: Complex Numbers
– Imaginary numbers
– Complex numbers
– The complex plane
– Solving equations
– LOCI
LUNCH
Session 2:
– Extra question practice on topics students request
– Past papers
Summer Course Rates
Choose a single course or a combination of courses.