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MAT-10079 - Module Specification
School of Computer Science and Mathematics
Faculty of Natural Sciences

For academic year: 2025/26 Last Updated: 04 December 2025

MAT-10079 - Limits, Series and Calculus
Coordinator: Peter Wootton Tel: +44 1782 7 33767
Lecture Time: See Timetable...
Level: Level 4
Credits: 15
Study Hours: 150
School Office: 01782 733075

Programme/Approved Electives for 2025/26

None

Available as a Free Standing Elective

No

Co-requisites

None

Prerequisites

None

Barred Combinations

None


Description for 2025/26

This module is intended to help students with the transition from the previous methods-based approach of Mathematics to the higher levels of understanding and rigour expected at degree level. The module will develop students' skills in mathematical techniques, building up to a more solid foundation in calculus than seen before. It begins by revising the standard elementary functions and their properties and how to define limits for sequences and series. By building upon these concepts, it concludes with the derivation of basic results and techniques in differentiation and integration.

Aims
This module aims at deepening your understanding and appreciation of the origins of the essential techniques of elementary calculus, explaining why these methods work. Starting with developing important preliminary ideas such as the real numbers, functions, sequences and series, on a more formal basis this leads to a fundamental concept of a limit, serving as a basis for further advances in differential and integral calculus.

Intended Learning Outcomes

state clearly and derive the key results of elementary algebra, trigonometry and calculus: 1,2,3
competently apply core mathematical techniques for finding the limits of sequences and series: 1,3
evaluate the behaviours of mathematical functions using the developed skills of differentiation and integration: 2,3
use the relevant methods and results to solve problems and communicate their solutions accurately and reliably with structured and coherent arguments: 1,2,3
use the basic concepts and theory to develop mathematical and logical arguments: 1,2,3

Study hours

36 hours lectures
12 hours Example Classes
24 hours coursework preparation
78 hours private study

School Rules

None

Description of Module Assessment

1: Assignment weighted 20%
Take-home assignment
A take-home assignment focusing on the use of elementary algebra, trigonometry, functions and sequences and series. Students are expected to spend about 12 hours completing this.

2: Assignment weighted 20%
Take-home coursework
A take-home assignment focusing on the use of differential and integral calculus. Students are expected to spend about 12 hours completing this.

3: Exam weighted 60%
Unseen, two hour end of semester examination
Unseen two-hour end of semester examination, consisting of 8 compulsory questions covering topics from across the entire module

The University undertakes a continuous review of its teaching and research provision to ensure programmes are of a high quality and changes may be made to modules where it is necessary and reasonable to do so. Please be aware that minor changes to modules, such as a change to an individual assessment, can occur up until enrolment, although we endeavour to give you as much notice as possible of any changes. Details about the circumstance in which changes are made to programmes can be found in the Student Agreement, available at: https://www.keele.ac.uk/legalgovernancecompliance/governance/actcharterstatutesordinancesandregulations/studenttermsconditions/

Last Updated: 04 December 2025