AM0S01 - Foundations of Mathematics 01 Aug 2023 - 30 Aug 2029 | Version 7
Associated Module Information
| Module Code: | AM0S01 | ||
|---|---|---|---|
| Module Title: | Foundations of Mathematics | ||
| Faculty: | Faculty of Computing, Engineering and Science | ||
| Faculty Group: | Computing and Mathematical Sciences | ||
| Faculty Sub Group: | Mathematical Sciences | ||
| Module Leader: | Joel Harris | ||
| Module Team: | Robert Warren, Adam Jones, Nicholas Andrews, Hannah Seale, Joseph Crago, Stephanie Perkins, Shane Galvin | ||
| First Intended Intake: | JUL 2014 | Final Year of Intake: | |
| Date Closed: | |||
| Credit Value: | 20 | 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 | 7 |
|---|---|
| Valid From | 01 Aug 2023 |
| Valid To | 30 Aug 2029 |
Module Aims
To provide students with confidence in applying basic numeracy, algebra and mathematical methods.
To provide students with examples of applications in mathematics relevant to their specialist discipline.
Content Summary
Basic arithmetic - precedence, negative numbers, fractions and decimals. Area of some basic shapes, significant figures and decimal places. Simple inequalities and elementary concepts of logic.
Algebraic expressions - introduction to algebra, simplification, manipulation and expansion of brackets, factorisation.
Solving equations: solution of linear equations.
Introduction to sets; complement, union and intersection, Venn diagrams.
Evaluation and transposition of formulae with suitable applications.
Graphs: Understanding graphs, formula for a straight line, inequalities on graphs.
Solution of two simultaneous linear equations.
Introduction to indices, scientific notation, Powers and roots. Solution of quadratic equations. Laws of indices. Logarithms and exponentials; laws of logarithms and solution of equations involving logarithmic and exponential expressions. Growth and decay
curves.
∑ notation, arithmetic and geometric progressions, applications.
Right-angled, equilateral, isosceles and scalene triangles. Pythagoras’ theorem. Basic trigonometry; measurement of angles in degrees and radians.
Definition of the basic trigonometric functions, inverse trigonometric functions.
Solution of trig equations including use of calculator. Sine and cosine rules. Graphs of sine and cosine functions; period, frequency, wavelength and phase angle.
Learning and Teaching Methods
| Activity Type | Hours |
|---|---|
| Lecture | 24 |
| Practical classes and workshops | 24 |
| Independent Study | 72 |
| Directed Study | 80 |
| Total Hours Selected | 200 |
Learning Outcomes
| # | Learning Outcome |
|---|---|
| LO1 | Apply a range of basic mathematical techniques, and interpret the solutions appropriately. |
| LO2 | To understand the basic mathematics behind applications in their specialist discipline and to be able to identify and perform relevant mathematical techniques appropriately. |
Module Requisites
N/A
Assessment Criteria
| Assessment Category | Assessment Type | Description | Duration | Word Count | Weight (%) | Best of? | Pass Mark |
|---|---|---|---|---|---|---|---|
| Synchronous Onsite Assessment | Classroom Test - Time Constrained (Onsite) 2 | Course formula book only, can be annotated as they see fit. | 60 | N/A | 50 | No | 40 |
| Synchronous Onsite Assessment | Classroom Test - Time Constrained (Onsite) 1 | Course formula book only, can be annotated as they see fit, | 60 | N/A | 50 | No | 40 |
Assessment Matrix
| Assessment Type | Learning Outcomes | ||
|---|---|---|---|
| LO1 | LO2 | ||
| Classroom Test - Time Constrained (Onsite) 2 | ✔ | ✔ | |
| Classroom Test - Time Constrained (Onsite) 1 | ✔ | ✔ | |