MS0T01 - Fundamentals of University Mathematics 11 Dec 2020 - 31 Aug 2022 | Version 3

Associated Module Information

Module Code: MS0T01
Module Title: Fundamentals of University Mathematics
Faculty: Faculty of Computing, Engineering and Science
Faculty Group: Computing and Mathematical Sciences
Faculty Sub Group: Mathematical Sciences
Module Leader: Paul Messenger
Module Team: Graeme Boswell, Stephanie Perkins, Joel Harris, Nicholas Andrews
First Intended Intake: SEP 2017 Final Year of Intake:
Date Closed:
Credit Value: 60 Credit Level: 3
Language: English
Percentage of Module Taught in Welsh: 0
Equivalent Module:
HECOS codes: 100403 - mathematics
HECOS Code Weighting: 100

Document Version Information

Version 3
Valid From 11 Dec 2020
Valid To 31 Aug 2022

Module Aims

To provide students with an understanding of the fundamentals of mathematics required for studying mathematics at University.

Content Summary

Algebra: algebraic manipulation, simplification, expansion of brackets, factorisation, polynomials, indices and logs, permutations and combinations, functions, introduction to set theory.

Trigonometry: trigonometric ratios, solving triangles, sine and cosine rule, graphs of trigonometric functions, trigonometric identities, inverse trigonometric functions.

Calculus: introduction to differentiation and integration, the product rule, the quotient rule, the chain rule, stationary points, integration by parts, integration by substitution, basic differential equations.

Vectors and Matrices: basic vector and matrix concepts, vector addition, scalar and vector products, vector geometry, matrix algebra.

Advanced Topics in Mathematics: introduction to complex numbers, proof by contradiction, proof by induction, introduction to discrete mathematics.

Learning and Teaching Methods

Activity Type Hours
Lecture 72
Tutorial 72
Independent Study 456
Total Hours Selected 600

Learning Outcomes

# Learning Outcome
LO1 Understand the fundamental principles of mathematics
LO2 Apply a range of techniques to solve mathematical problems

Module Requisites

N/A

Assessment Criteria

Assessment Category Assessment Type Description Duration Word Count Weight (%) Best of? Pass Mark
Written Examination Written Examination - Open Book (Unseen) 1 Open book examination via blackboard, with an additional download/scanning of solutions/upload of 90 mins. 90 N/A 20 No 40
Portfolio Portfolio 1 Written exercises 0 N/A 60 No 40
Written Assignment (CW) Time Constrained Assessment (CW) 1 Class Test 45 1 20 No 40

Assessment Matrix

Assessment Type Learning Outcomes
LO1 LO2
Written Examination - Open Book (Unseen) 1
Portfolio 1
Time Constrained Assessment (CW) 1

Reading List

Latest edition of McGregor C M, Nimmo J J C, Stothers, W. W. Fundamentals of University Mathematics, Woodhead Publishing.

Latest edition of Croft A, and Davison R, Foundation Maths, Pearson Education

Latest edition of Stroud K A, Booth D J, Foundation Mathematics, Addison Wesley.

Latest edition of Setek W, Van Dyke J, Fundamentals of Mathematics, Brooks/Cole