Module Descriptors
PRACTICAL MATHEMATICS
COMP30005
Key Facts
Digital, Technology, Innovation and Business
Level 3
30 credits
Contact
Leader: Steven Sims
Email: Steven.Sims@staffs.ac.uk
Hours of Study
Scheduled Learning and Teaching Activities: 104
Independent Study Hours: 196
Total Learning Hours: 300
Assessment
- Class test 1 weighted at 25%
- Class test 2 Class test 2 weighted at 25%
- Class test 3 weighted at 25%
- Class test 4 weighted at 25%
Module Details
Module Learning Outcomes
1. UNDERTAKE ARITHMETIC OPERATIONS AND CALCULATIONS AND MANIPULATE ALGEBRAIC EXPRESSIONS TO FIND CORRECT SOLUTIONS TO PROBLEMS.
Knowledge and Understanding
Enquiry
2. SOLVE SIMPLE EXPONENTIAL, LOGARITHMIC AND TRIGONOMETRIC EQUATIONS.
Learning,
Problem solving
3. DIFFERENTIATE AND ANALYSE SIMPLE FUNCTIONS.
Application
Problem solving
4. INTEGRATE SIMPLE FUNCTIONS AND EVALUATE SIMPLE DEFINITE INTEGRALS.
Learning
Problem solving
Knowledge and Understanding
Enquiry
2. SOLVE SIMPLE EXPONENTIAL, LOGARITHMIC AND TRIGONOMETRIC EQUATIONS.
Learning,
Problem solving
3. DIFFERENTIATE AND ANALYSE SIMPLE FUNCTIONS.
Application
Problem solving
4. INTEGRATE SIMPLE FUNCTIONS AND EVALUATE SIMPLE DEFINITE INTEGRALS.
Learning
Problem solving
Module Additional Assessment Details
The assessment consists of a portfolio of two 40-minute equally weighted class tests (100% overall) covering Learning Outcomes 1 to 4. One test will take place in Semester One, and one in Semester Two.
You will be provided with formative assessments and feedback on your work during tutorial classes, and after each test to aid your future learning.
You will be provided with formative assessments and feedback on your work during tutorial classes, and after each test to aid your future learning.
Module Indicative Content
This maths module will provide you with a range of mathematical techniques which could be applied to a variety of engineering problems.
Numeracy: arithmetic operations, percentages, powers, roots, ratios and average.
Algebra: Laws of Indices, logarithms, factorisation, solution of equations, transformation of formulae, logarithmic and exponential functions.
Trigonometry: solution of triangles, graphs, and general solution of simple trigonometric equations.
Calculus: differentiation of simple functions, application to extrema and engineering problems, definite and indefinite integrals.
Numeracy: arithmetic operations, percentages, powers, roots, ratios and average.
Algebra: Laws of Indices, logarithms, factorisation, solution of equations, transformation of formulae, logarithmic and exponential functions.
Trigonometry: solution of triangles, graphs, and general solution of simple trigonometric equations.
Calculus: differentiation of simple functions, application to extrema and engineering problems, definite and indefinite integrals.
Module Learning Strategies
This module will be delivered over two semesters.
A total of 104 hours of contact time (4 hours per week over two semesters) will be used.
This module will be taught through short lectures, small group tutorials, and excel practical sessions to underpin knowledge and to illustrate graphical solutions when mathematical/algebraic techniques are introduced/applied.
The allocation of a large amount of contact time will allow you to engage intensively with the module with an emphasis on focussed experiential learning.
You will be expected to engage in 196 hours of independent study where you will have the opportunity to prepare for your taught sessions and for your assessment (class tests). This will also allow you to reflect on your own current learning and practices, to acquire a deeper knowledge of key mathematical techniques, and to start developing some of the ideas generated during the taught sessions.
A total of 104 hours of contact time (4 hours per week over two semesters) will be used.
This module will be taught through short lectures, small group tutorials, and excel practical sessions to underpin knowledge and to illustrate graphical solutions when mathematical/algebraic techniques are introduced/applied.
The allocation of a large amount of contact time will allow you to engage intensively with the module with an emphasis on focussed experiential learning.
You will be expected to engage in 196 hours of independent study where you will have the opportunity to prepare for your taught sessions and for your assessment (class tests). This will also allow you to reflect on your own current learning and practices, to acquire a deeper knowledge of key mathematical techniques, and to start developing some of the ideas generated during the taught sessions.
Module Texts
Croft, A. & Davison, R. (2018/reprint), Foundation Maths, 6th Edn., Pearson Education Ltd., Harlow,
ISBN: 978-1292095172
Bird, J. (2018/reprint), Basic Engineering Mathematics, 7th Edn., Routledge, Abingdon, ISBN: 978-1138673700
Stroud, K.A. (2018/reprint), Foundation Mathematics, Macmillan Publishers Ltd., Basingstoke, ISBN: 978-0230579071
Singh, K. (2018/reprint), Engineering Mathematics through Applications, 2nd Edn., Macmillan Publishers Ltd., Basingstoke, ISBN: 978-0230274792
ISBN: 978-1292095172
Bird, J. (2018/reprint), Basic Engineering Mathematics, 7th Edn., Routledge, Abingdon, ISBN: 978-1138673700
Stroud, K.A. (2018/reprint), Foundation Mathematics, Macmillan Publishers Ltd., Basingstoke, ISBN: 978-0230579071
Singh, K. (2018/reprint), Engineering Mathematics through Applications, 2nd Edn., Macmillan Publishers Ltd., Basingstoke, ISBN: 978-0230274792
Module Resources
PC Laboratory with Engineering / Maths based software
Module Special Admissions Requirements
None
Web Descriptor
This module is designed to help you to acquire the skills you will need to develop and succeed both academically and as a professional practitioner. The focus is on your technical development and mathematics skills. The module consolidates your learning and gears you up for successful study on your degree and later career in the field of AI and Robotics.
Module Additional Assessment Details
The assessment consists of a portfolio of four 40-minute equally weighted class tests (100% overall) covering Learning Outcomes 1 to 4. Two tests will take place in Semester One, and two in Semester Two. You will be provided with formative assessments and feedback on your work during tutorial classes, and after each test to aid your future learning.