Mathematical Skills

The details
Mathematical Sciences
Colchester Campus
Undergraduate: Level 4
Monday 13 January 2020
Friday 20 March 2020
17 December 2019


Requisites for this module



Key module for

BSC G100 Mathematics,
BSC G102 Mathematics (Including Year Abroad),
BSC G103 Mathematics (Including Placement Year),
BSC G104 Mathematics (Including Foundation Year)

Module description

This is a problem based module that will reinforce and introduce the techniques involved in a variety of problem-solving situations across mathematics, including calculus, algebra, combinatorics, geometry and mechanics. For students outside of the Department, an appropriate A level in Mathematics (or equivalent) is required for this module. If you are unsure if you meet this criteria please contact before attempting to enrol.

Each week students will bring to bear their mathematical skills and develop them further in order to solve a number of problems that are varied in nature and difficulty. Moreover students will learn to write mathematical arguments that explain why their calculations allow the question to be fully answered. Some historical background to the mathematics will feature in discussion of the problems and their solutions.

Module aims

No information available.

Module learning outcomes

On completion of the course students will:

1. be adept at solving general mathematical problems that arise in which the student does not know in advance what specific mathematical skills are needed;
2. be able to justify through mathematical argument how a given mathematical calculation leads to solution of a problem;
3. become sure-footed in the use of algebraic techniques that arise throughout mathematics.

Module information

Syllabus - Topics that will be featured in the problem sets include:

1. Differentiation and Integrations methods
2. Solutions of equations (including use of complex numbers)
3. Familiarity and exploitation of the properties of trigonometric and other transcendental functions
4. Kinematics and problems involving vector quanitites
5. Euclidean geometry
6. Elementary number theory
7. Discrete counting and probablity problems
8. Problems requiring a mixture of mathematical ideas.

Learning and teaching methods

This module consists of 25 contact hours consisting of 10 two-hour lectures together with five classes, one every two weeks. There will be three revision lectures in the summer term. The emphasis throughout will be on the student tackling a large number of varied problems.


This module does not appear to have any essential texts. To see non-essential items, please refer to the module's reading list.

Assessment items, weightings and deadlines

Coursework / exam Description Deadline Weighting
Coursework   Homework 1     
Coursework   Homework 2     
Coursework   Homework 3     
Coursework   Homework 4     
Coursework   Homework 5     
Exam  1440 minutes during Summer (Main Period) (Main) 

Overall assessment

Coursework Exam
50% 50%


Coursework Exam
0% 100%
Module supervisor and teaching staff
Prof Peter Higgins, email:
Professor Peter Higgins, email
Professor Peter Higgins (



External examiner

No external examiner information available for this module.
Available via Moodle
Of 25 hours, 23 (92%) hours available to students:
2 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).


Further information
Mathematical Sciences

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