A-level Mathematics for Year 13 - Course 1: Functions, Sequences and Series, and Numerical Methods

A-level Mathematics for Year 13 - Course 1: Functions, Sequences and Series, and Numerical Methods

Course
en
English
14 h
This content is rated 0 out of 5
Source
  • From www.edx.org
Conditions
  • Self-paced
  • Free Access
  • Fee-based Certificate
More info
  • 7 Sequences
  • Intermediate Level

Their employees are learning daily with Edflex

  • Safran
  • Air France
  • TotalEnergies
  • Generali
Learn more

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

None.

Instructors

Philip Ramsden
Dr
Imperial College London

Phil Chaffe
Mr
Mathematics in Education and Industry (MEI)

Platform

Harvard University, the Massachusetts Institute of Technology, and the University of California, Berkeley, are just some of the schools that you have at your fingertips with EdX. Through massive open online courses (MOOCs) from the world's best universities, you can develop your knowledge in literature, math, history, food and nutrition, and more. These online classes are taught by highly-regarded experts in the field. If you take a class on computer science through Harvard, you may be taught by David J. Malan, a senior lecturer on computer science at Harvard University for the School of Engineering and Applied Sciences. But there's not just one professor - you have access to the entire teaching staff, allowing you to receive feedback on assignments straight from the experts. Pursue a Verified Certificate to document your achievements and use your coursework for job and school applications, promotions, and more. EdX also works with top universities to conduct research, allowing them to learn more about learning. Using their findings, edX is able to provide students with the best and most effective courses, constantly enhancing the student experience.

This content is rated 4.5 out of 5
(no review)
This content is rated 4.5 out of 5
(no review)
Complete this resource to write a review