Preparing for Further Study in Mathematics
- Offered byFutureLearn
Preparing for Further Study in Mathematics at FutureLearn Overview
Preparing for Further Study in Mathematics
at FutureLearn
Duration | 6 weeks |
Total fee | ₹2,093 |
Mode of learning | Online |
Credential | Certificate |
Preparing for Further Study in Mathematics at FutureLearn Highlights
Preparing for Further Study in Mathematics
at FutureLearn
- Earn a certificate upon completion
Preparing for Further Study in Mathematics at FutureLearn Course details
Preparing for Further Study in Mathematics
at FutureLearn
Skills you will learn
More about this course
- On this six-week course from Manchester Grammar School, you’ll be introduced to mathematical ideas you may encounter as an undergraduate, gaining an overview of higher level maths
- On this course, you’ll examine advanced mathematical theory, including computability and metric spaces, and expand your understanding of mathematical analysis
- Using a case study to demonstrate your understanding of advanced maths, you’ll put your learning into practice and prove you have the necessary skills to take the next steps in your mathematical studies
- Through group discussion and a range of examples, you’ll examine the surprisingly complex nature of providing absolute proof in a mathematical context, learning how proof can be subjective
- By the end of this course, you’ll understand some complex theories and concepts of advanced maths, as well as their applications in a variety of contexts
Preparing for Further Study in Mathematics at FutureLearn Curriculum
Preparing for Further Study in Mathematics
at FutureLearn
Introduction
What is Mathematics?
Age-appropriate Mathematics
Numbers and Notation
Historical Context - Modern Maths starts in 1687?
Classical Mathematics
Newton, Leibnitz and Calculus
Modern Mathematics
Proof
The History of proof
Some methods of proof
What makes a proof good, or bad?
Topics in Maths 1
Analysis
Group Theory
Number Theory
Topics in Maths 2
Computability
Metric Spaces
Non-Euclidean Geometry
Some Real Mathematics
Some Real Problems
Further Resources
Thank You
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