Mathematical Methods

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The details
Mathematical Sciences
Colchester Campus
Undergraduate: Level 5
Thursday 03 October 2019
Saturday 14 December 2019
04 October 2018


Requisites for this module



Key module for


Module description

The course gives an introduction to a range of core mathematical techniques, of broad applicability.

Sequences and series:
- Bounded, monotonic, convergent sequences of real numbers;
- Sums, products and quotients of sequences.

- Summable and absolutely summable series of real numbers;
- Finite and infinite geometric series;
- harmonic series; harmonic series with alternating signs.
- Ratio and comparison tests for summability.

Power series:
- Taylor series, radius of convergence, term-by-term differentiation, exponential series

Partial differentiation:
- Taylor series for a function of two variables;
- Lagrange multipliers: stationary points subject to constraints.

Double integrals:
- change in order of integration;
- change of variable to polar co-ordinates.

On completion of the course students should be able to:
- recognise and manipulate simple sequences and series;
- distinguish summable series from others;
- calculate Taylor series expansions;
- calculate radii of convergence of power series;
- find the stationary points of quadratic functions subject to linear constraints;
- change order of integration in repeated integrals.

Module aims

No information available.

Module learning outcomes

No information available.

Module information

Available to Socrates /IP students spending all relevant terms at Essex.

Learning and teaching methods

This course runs at 3 hours per week in the Autumn term. There are 2 lectures in weeks 2-11 and one lecture in weeks 2-4,6 and 8 and one classes in weeks 5, 7, 9, 8 and 11 In the Summer term 3 revision lectures are given.


This module does not appear to have a published bibliography.

Overall assessment

Coursework Exam
20% 80%


Coursework Exam
20% 80%
Module supervisor and teaching staff
Dr Hadi Susanto, email
Miss Claire Watts, Department Manager, Tel. 01206 873040, email



External examiner

No external examiner information available for this module.
Available via Moodle
No lecture recording information available for this module.


Further information
Mathematical Sciences

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