Online Course
A-level Mathematics for Year 13 - Course 1: Functions, Sequences and Series, and Numerical Methods
Imperial College London via edX
-
64
-
- Write review
Overview
The course is most appropriate to the Edexcel, AQA, OCR and OCR(MEI) papers. You will investigate key topic areas to gain a deeper understanding of the skills and techniques that you can apply throughout your A-level study. These skills include:
- Fluency – selecting and applying correct methods to answer with speed and efficiency
- Confidence – critically assessing mathematical methods and investigating ways to apply them
- Problem solving – analysing the ‘unfamiliar’ and identifying which skills and techniques you require to answer questions
- Constructing mathematical argument – using mathematical tools such as diagrams, graphs, logical deduction, mathematical symbols, mathematical language, construct mathematical argument and present precisely to others
- Deep reasoning – analysing and critiquing mathematical techniques, arguments, formulae and proofs to comprehend how they can be applied
You’ll also be encouraged to consider how what you know fits into the wider mathematical world.
Syllabus
- The difference between a mapping and a function
- Function notation
- Domain and range of a function
- Composition of functions
- Inverse functions
- 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
- The binomial expansion for positive integer n
- The general binomial expansion
- Properties of sequences
- Radian measure
- Circle calculations
- Small angle approximations
- Circular functions
- The reciprocal trigonometric functions
- Inverse trigonometric functions
- Addition and double angle formulae
- Trigonometric identities
- An introduction to numerical methods
- The trapezium rule
- Numerical solution of equations
- The Newton-Raphson method
- Fixed point iteration
Taught by
Philip Ramsden and Phil Chaffe
Related Courses
-
A-level Mathematics for Year 13 - Course 2: General Motion, Moments and Equilibrium, The Normal Distribution, Vectors, Differentiation Methods, Integration Methods and Differential Equations
Imperial College London
-
A-level Mathematics for Year 12 - Course 1: Algebraic Methods, Graphs and Applied Mathematics Methods
Imperial College London
5.0 -
Skills for A Level Further Mathematics Course 1: Complex Numbers, Matrices, Roots of Polynomial Equations, Series and Vectors
Imperial College London
-
A-level Mathematics for Year 12 - Course 2: Calculus, Newton’s Laws and Hypothesis Testing
Imperial College London
5.0 -
Fundamentals of Engineering Exam Review
Georgia Institute of Technology
Reviews
0.0 rating, based on 0 reviews