module specification

MA5063 - Further Mathematical Techniques (2023/24)

Module specification Module approved to run in 2023/24
Module title Further Mathematical Techniques
Module level Intermediate (05)
Credit rating for module 15
School School of Computing and Digital Media
Total study hours 150
105 hours Guided independent study
45 hours Scheduled learning & teaching activities
Assessment components
Type Weighting Qualifying mark Description
In-Course Test 30%   Test (1 hour, unseen)
Unseen Examination 70%   Exam (2 hours, unseen)
Running in 2023/24

(Please note that module timeslots are subject to change)
Period Campus Day Time Module Leader
Autumn semester North Thursday Morning

Module summary

The module covers basic mathematical techniques of differential and integral calculus. The module builds on and extends concepts learned in A-Level Mathematics. The contents covered and the skills developed are fundamental to the development of mathematical competence. Calculus forms an important foundation for further studies in Mathematics, Finance, Statistics and Engineering.

Prior learning requirements

A Level Mathematics.

Available for Study Abroad? NO.


Functions and their graphs. LO1

Differentiation techniques. Applications of differentiation. LO2

Integration techniques. Applications of integration. LO3

Balance of independent study and scheduled teaching activity

This module will be delivered through a mixture of lectures and tutorials. The lectures will develop theory, explain the methods and techniques, and demonstrate them by going through examples. The tutorials will provide students with the opportunity of reviewing their lecture notes and working through the problems designed for their practice, which will underpin the skills and techniques demonstrated in the lectures. Students will be encouraged to construct valid and precise mathematical arguments and will be expected to produce solutions using appropriate notational and stylistic conventions. Self-study exercises will enable students to monitor their own progress. A set of lecture notes will be provided to students and answers for exercise questions will be put on the VLE. Blended learning is incorporated by using online resources as a medium for communication (both peer and tutor-led) and will also provide additional materials to stimulate the student interest and broaden their horizons.

Learning outcomes

On successful completion of this module, students should be able to:

LO1. Demonstrate an understanding of functions and their properties, domain and range, inverse functions, limits, continuity and l'Hopital's rule.

LO2. Differentiate functions from first principles. Demonstrate skill in use of the rules of differentiation (chain, product, quotient).

LO3. Establish skill in use and application of the definite integral. Anti-derivatives and the indefinite integral. Fundamental Theorem of Calculus. Rules and techniques for integration: partial fractions, by parts, by substitution. Improper integrals.

Assessment strategy

Summative assessment will consist of one Test, and a final Examination. The Test will assess LO1 and LO2 and the final assessment will be an Examination where students will be tested across the whole syllabus LO1-LO3. Feedback to students will be given in class and on Weblearn after the Summative assessment Test.


Core Textbooks:

Stewart, J. (2005); Calculus. Brook/Cole 

Additional Reading:

Stroud, K.A. (2010); Engineering Mathematics. Macmillan