- From www.edx.org
A-level Mathematics for Year 13 - Course 1: Functions, Sequences and Series, and Numerical Methods
- Self-paced
- Free Access
- Fee-based Certificate
- 7 Sequences
- Intermediate Level
Course details
Syllabus
Module 1: Algebra and Functions
- The difference between a mapping and a function
- Function notation
- Domain and range of a function
- Composition of functions
- Inverse functions
Module 2: Sequences and Series 1
- How to define a sequence by an nth term rule
- How to define a sequence by an inductive rule
- Arithmetic sequences
- Geometric sequences
- The sum of n terms of an arithmetic and a geometric sequence
- Series and the sigma notation
Module 3: Sequences and Series 2
- The binomial expansion for positive integer n
- The general binomial expansion
- Properties of sequences
Module 4: Trigonometry 1
- Radian measure
- Circle calculations
- Small angle approximations
- Circular functions
Module 5: Trigonometry 2
- The reciprocal trigonometric functions
- Inverse trigonometric functions
- Addition and double angle formulae
- Trigonometric identities
Module 6: Numerical Methods 1
- An introduction to numerical methods
- The trapezium rule
- Numerical solution of equations
Module 7: Numerical Methods 2
- The Newton-Raphson method
- Fixed point iteration
Prerequisite
Instructors
Philip Ramsden
Dr
Imperial College London
Phil Chaffe
Mr
Mathematics in Education and Industry (MEI)
Platform
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