Chris Fenwick's webpage
Center for languages and International Education, Institute of Education, University College LondonCommunication for Mathematics
Welcome. Many students come from school with little understanding of how to correctly present mathematical solutions and proofs.
Starting from the very beginning, the aim of this course is to guide students towards accurate and precise presentation of this aspect of mathematics.
Although this course is designed specifically for students taking the UPCSE maths module at UCL, it will also be useful for anyone wanting to
improve their understanding and practice of the basics of presentation of solutions and proofs.
Introduction and Trigonometry:
Algebra:
Differentiation:
Curve sketching:
Integration:
Series:
Complete module specification document for 2020-2021 UPCSE students:
Click here
(This course is subject to revision. See Moodle for current syllabus and materials)
Introduction and Trigonometry:
| Introduction and Trigonometry: part 1 | Introduction and Trigonometry: part 2 | Examples & exercises |
Algebra:
| Algebra: general | The binomial theorem | Proof by induction | Examples & exercises |
Differentiation:
| Definition and methods | Optimisation | Writing mathematical English | Examples & exercises |
| Curve sketching 1 | Curve sketching 2 | On describing the behaviour of functions | Examples & exercises |
Integration:
| By-parts and substitution | Seminar preparatory work: Analysing a mathematics paper |
Areas and volumes | Examples & exercises |
Series:
| Series 1 | Series 2 | Seminar preparatory work: Analysing a mathematics paper |
Examples & exercises |