Preparing for Further Study in Mathematics
Examine key mathematical concepts and theory in preparation for a maths degree
When considering a mathematics degree, people often have little idea how the subject develops from school to university and its use in professional contexts.
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.
Explore concepts of advanced mathematics, from number theory to non Euclidean geometry
Advanced maths can open doors to many careers, including finance, engineering, and computer science.
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.
Learn how to explain complex theories, using proof of contradiction, induction, and contrapositive
In maths, proof is a series of logical steps used to verify, or disprove, a mathematical argument.
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.
Investigate the history of mathematics
You’ll gain a critical view of how maths has developed from ancient civilisations to modern mathematics, being able to explain key moments in mathematical development.
Using this knowledge, you’ll be able to explain the evolution of mathematical thinking and discuss the potential future of maths and its applications.
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.
Learning on this course
On every step of the course you can meet other learners, share your ideas and join in with active discussions in the comments.
What will you achieve?
By the end of the course, you‘ll be able to...
- Explore the history of Mathematics.
- Appreciate the need for precision and clarity in mathematics at a higher level.
- Develop an understanding of a selection of topics in higher mathematics.
- Produce a piece of work exploring an aspect of modern maths and understand its importance.
Who is the course for?
This course is designed for those considering an undergraduate degree in mathematics. It’s also suitable for anyone interested in situating mathematics into a historical and cultural framework.
Who developed the course?
Our history dates back to the time of Henry VIII, when The Manchester Grammar School was founded in 1515 by Hugh Oldham, Bishop of Exeter, to provide ‘godliness and good learning’ to the poor boys of Manchester.
The School proceeded to build a reputation as one of the country’s leading educational establishments, a position it still holds today as an independent day school.
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