ADDITIONAL ASSESSMENT DETAILS
Final assessment will be through ten timed assessments weighted at 10% each. Tests will be based on the numbering detailed in the indicative content section. Tests will be available after completion of each section and will be limited to 1 hour. Students may select the order that the tests are taken and may request the date and time of a test. Resit opportunities will be available.
Tests 1-10 assess learning outcomes 1-4
INDICATIVE CONTENT
It is an essential skill for Motorsport Engineers to be able to calculate, transpose and develop mathematical formulae to enable them to problem solve, fault find and analyse race vehicle data. The ‘Maths for Motorsport’ exercises within this module will enable you to develop your mathematical skills from basic maths to transposition of formula, to complex calculus for the engine, chassis and complete vehicle development
Mathematics needed to support the work on Dynamics and Mechanics;
1. Numeracy: arithmetic operations, percentages, powers, roots, ratios (with, for example, applications to gears)
2. Data analysis: averages, measures of spread, estimation, rounding errors and accuracy.
3. Algebra: Laws of indices, exponentials, logarithms, factorisation, solution of equations, and transposition of formulae.
4. Trigonometry: graphs, general solution of simple trigonometric equations. Solution of triangles, including cosine and sine rules.
5. Calculus: differentiation of simple functions, application to simple dynamics (including velocity, acceleration and extrema problems).
6. Definite and indefinite integrals with application to areas.
7. Motion along a straight line, Newton's laws of motion, Vectors, Projectiles.
8. Equilibrium of a particle, Friction, Moments of forces, Centre of mass.
9. Energy, work and power, Circular motion, Use of vectors.
10. Dimensional analysis.
LEARNING STRATEGIES
Delivery is by distance learning with a comprehensive resource handbook on the VLE and available to download containing topic information, example questions and email and telephone support being available through our online VLE known as the Virtual Learning Studio (VLS), individual tutorials and student forum. Specialist knowledge will be delivered by staff through video input. Study is by independent learning with tutor support of approximately 6 hours per module but students may access tutors whenever they choose within the working week 9-5 BST.
RESOURCES
Computer with fast broadband connection
Range of resources located on the VLS
Library Services through Sconul access or e books
TEXTS
Bonnick, A.W.M., (2008) Automotive Science and Mathematics. Amsterdam: Butterworth-Heinemann.
*Booth, D. J., Stroud, K. A. (2013) Engineering Mathematics. 7th Ed. London: Palgrave Macmillan.
*Croft, A., Davison, R. (2010) Foundation Maths. 5th Ed. New Jersey: Prentice Hall Education
Fox, H. and BOLTON, W., (2002) Mathematics for Engineers and Technologists. Butterworth-Heinemann.
Ganesh, A. and BALASUBRAMANIAN, G., (2009) Engineering Mathematics-II. New Age International.
*James, G., (2011) Advanced Modern Engineering Mathematics. Harlow: Prentice Hall
Lee, S. (2008) An Introduction to Mathematics for Engineers: Mechanics. London: Hodder & Stoughton.
Singh, K. (2011) Engineering Mathematics through Application. 2nd Ed. London: Palgrave Macmillan.
*Core texts – select at least one
LEARNING OUTCOMES
1. Carry out relevant numerical calculations to the level of proficiency appropriate to the study of mechanics within a motorsport context. (Knowledge and Understanding, Enquiry).
2. Manipulate algebraic expressions and solve equations involving exponential, logarithmic and simple trigonometric functions to tackle a range of motorsport engineering problems. (Problem Solving).
3. Differentiate and analyse extrema of functions. (Application).
4. Solve a range of problems in vehicle mechanics choosing an appropriate solution procedure and making use of the underlying concepts and principles. (Analysis, Application, Problem Solving).