Develop your thinking skills, fluency and confidence to aim for an A* in A-level maths and prepare for undergraduate STEM degrees.

This course by Imperial College London is designed to help you develop the skills you need to succeed in your A-level maths exams.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.

By the end of this course, you'll be able to:

- Define a mapping and a function
- Define the domain and range for a function
- Combine functions to create a composite function
- Find the inverse of a function
- Define a sequence using an nth term formula and an inductive definition
- Define an arithmetic and a geometric sequence
- Use sigma notation to define a series
- Expand a binomial expression for both a positive integer index and for an index which is not a positive integer
- Use radians as a measure of angle
- Find arc lengths, areas of sectors and areas of segments on circles where angles are in radians
- Use small angle approximations for sine, cosine and tangent functions
- Find multiple solutions to trigonometric equations
- Use the reciprocal trigonometric functions
- Use the inverse trigonometrical functions
- Use trigonometrical identities
- Derive and use the trapezium rule to find the area under a curve
- Approximate the root of an equation using a sign change method
- Approximate the root of an equation using the Newton-Raphson method
- Approximate the root of an equation by fixed point iteration

Dates:

- 18 October 2019

More from 'Mathematics, Statistics and Data Analysis':

Engineering Calculus and Differential Equations

Learn fundamental concepts of single-variable calculus and ordinary differential...

Learn fundamental concepts of single-variable calculus and ordinary differential...

Microsoft Professional Capstone : Big Data

Validate the skills you learned in the Microsoft Professional Program for Big...

Validate the skills you learned in the Microsoft Professional Program for Big...

Microsoft Professional Capstone : Data Science

Solve a real-world data science problem in this capstone project for the Microsoft...

Solve a real-world data science problem in this capstone project for the Microsoft...

Microsoft Professional Capstone : Artificial Intelligence

Solve a real-world artificial intelligence problem in this capstone project...

Solve a real-world artificial intelligence problem in this capstone project...

Microsoft Professional Capstone: Data Analysis

Showcase the knowledge you acquired in the Data Analysis MPP in this Capstone...

Showcase the knowledge you acquired in the Data Analysis MPP in this Capstone...

More from 'edX':

Humanitarian Response to Conflict and Disaster

Learn the principles guiding humanitarian response to modern emergencies, and...

Learn the principles guiding humanitarian response to modern emergencies, and...

Video Game Design History

Learn about the evolution of video games from experts at The Strong National...

Learn about the evolution of video games from experts at The Strong National...

Video Game Design and Balance

Learn about the video game design process and experiment with effective methods...

Learn about the video game design process and experiment with effective methods...

Video Game Asset Creation and Process

Learn about the tools, processes and platforms that allow video game assets...

Learn about the tools, processes and platforms that allow video game assets...

Minds and Machines

An introduction to philosophy of mind, exploring consciousness, reality, AI...

An introduction to philosophy of mind, exploring consciousness, reality, AI...

© 2013-2019