Module Descriptors
FOUNDATION QUANTITATIVE METHODS
MATH31000
Key Facts
Digital, Technology, Innovation and Business
Level 3
30 credits
Contact
Leader: Md Asaduzzaman
Email: Md.Asaduzzaman@staffs.ac.uk
Hours of Study
Scheduled Learning and Teaching Activities: 72
Independent Study Hours: 228
Total Learning Hours: 300
Assessment
- Examination - Class Test 1 (40 minutes) weighted at 25%
- Examination - Class Test 2 (40 minutes) weighted at 25%
- Examination - Class Test 3 (40 minutes) weighted at 25%
- Examination - Class Test 4 (40 minutes) weighted at 25%
Module Details
Module Learning Outcomes
1. Undertake arithmetic operations and calculations and manipulate algebraic expressions.
Knowledge & Understanding
Learning
Problem solving
2. Solve simple exponential, logarithmic and trigonometric equations.
Knowledge & Understanding
Learning
Problem solving
3. Differentiate and analyse extrema of simple functions.
Knowledge & Understanding
Analysis
Application
Problem solving
4. Integrate simple functions and evaluate simple definite integrals.
Knowledge & Understanding
Learning
Problem solving
Knowledge & Understanding
Learning
Problem solving
2. Solve simple exponential, logarithmic and trigonometric equations.
Knowledge & Understanding
Learning
Problem solving
3. Differentiate and analyse extrema of simple functions.
Knowledge & Understanding
Analysis
Application
Problem solving
4. Integrate simple functions and evaluate simple definite integrals.
Knowledge & Understanding
Learning
Problem solving
Module Additional Assessment Details
You will be required to complete one element of summative assessment as follows:
1. A portfolio of 4 40-minute equally weighted class tests (100%) covering all learning outcomes.
You will be provided with formative assessment and feedback on your work during tutorial classes.
1. A portfolio of 4 40-minute equally weighted class tests (100%) covering all learning outcomes.
You will be provided with formative assessment and feedback on your work during tutorial classes.
Module Indicative Content
The Foundation Quantitative Methods 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, 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, 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 72 hours of contact time (3 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 228 hours of independent study where you will have the opportunity to prepare for your taught sessions and for your assessment (Mainly 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 72 hours of contact time (3 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 228 hours of independent study where you will have the opportunity to prepare for your taught sessions and for your assessment (Mainly 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. (2016) Foundation Maths, 6th Edn., Pearson Education Ltd., Harlow.
Bird, J. (2017) Basic Engineering Mathematics, 7th Edn., Routledge, Abingdon.
Stroud, K.A. (2009) Foundation Mathematics, Macmillan Publishers Ltd., Basingstoke.
Singh, K. (2011) Engineering Mathematics through Applications, 2nd Edn., Macmillan Publishers Ltd., Basingstoke
Bird, J. (2017) Basic Engineering Mathematics, 7th Edn., Routledge, Abingdon.
Stroud, K.A. (2009) Foundation Mathematics, Macmillan Publishers Ltd., Basingstoke.
Singh, K. (2011) Engineering Mathematics through Applications, 2nd Edn., Macmillan Publishers Ltd., Basingstoke
Module Resources
PC Laboratories