Module Descriptors
APPLIED MATHEMATICS
MATH40360
Key Facts
Digital, Technology, Innovation and Business
Level 4
30 credits
Contact
Leader: Debi Roberts
Email: debi.roberts@staffs.ac.uk
Hours of Study
Scheduled Learning and Teaching Activities: 96
Independent Study Hours: 204
Total Learning Hours: 300
Assessment
- CLASS-TEST - SECOND CLASS TEST weighted at 40%
- CLASS-TEST - FIRST CLASS TEST weighted at 60%
Module Details
Module Learning Strategies
Core theoretical material will be delivered through 48 hours of lectures (usually 4 a week). A further 48 hours of tutorials (usually 4 a week) incorporating an anticipated 4 hours of engineering practical labs sessions and 6 hours of computer laboratory sessions will give opportunities to apply techniques to a variety of technology applications.
Initially, the basic mathematics will be taught, and this will then be dovetailed with and used in the applications to mechanics and fluids.
Initially, the basic mathematics will be taught, and this will then be dovetailed with and used in the applications to mechanics and fluids.
Module Additional Assessment Details
Class Test 1 assesses Learning Outcomes 1, 2, 3 and 5 and consists of 4 one hour tests.
Class test 2 assesses Learning Outcomes 1, 2 and 4 and consists of 3 one hour tests.
Class test 1 is the final assessment point.
Class test 2 assesses Learning Outcomes 1, 2 and 4 and consists of 3 one hour tests.
Class test 1 is the final assessment point.
Module Indicative Content
Mathematics needed to support the work on Dynamics and Mechanics
Numeracy: arithmetic operations, percentages, powers, roots, ratios (with, for example, applications to gears)
Data analysis: averages, measures of spread, estimation, rounding errors and accuracy.
Algebra: Laws of indices, logarithms, factorisation, solution of equations, transformation of formulae.
Trigonometry: graphs, general solution of simple trigonometric equations. Solution of triangles, including cosine and sine rules.
Calculus: differentiation of simple functions, application to simple dynamics (including velocity, acceleration and extrema problems). Definite and indefinite integrals with application to areas.
Dynamics and Mechanics
Practical experimentation backed up by theory and mathematical understanding in the following areas:
Motion along a straight line; Newton¿s laws of motion; Vectors; Projectiles.
Equilibrium of a particle; Friction; Moments of forces; Centre of mass.
Energy, work and power; Circular motion; Use of vectors.
Dimensional analysis.
Numeracy: arithmetic operations, percentages, powers, roots, ratios (with, for example, applications to gears)
Data analysis: averages, measures of spread, estimation, rounding errors and accuracy.
Algebra: Laws of indices, logarithms, factorisation, solution of equations, transformation of formulae.
Trigonometry: graphs, general solution of simple trigonometric equations. Solution of triangles, including cosine and sine rules.
Calculus: differentiation of simple functions, application to simple dynamics (including velocity, acceleration and extrema problems). Definite and indefinite integrals with application to areas.
Dynamics and Mechanics
Practical experimentation backed up by theory and mathematical understanding in the following areas:
Motion along a straight line; Newton¿s laws of motion; Vectors; Projectiles.
Equilibrium of a particle; Friction; Moments of forces; Centre of mass.
Energy, work and power; Circular motion; Use of vectors.
Dimensional analysis.
Module Texts
Foundation Mathematics for Engineers J.Berry & P.Wainwright, Macmillan, London, 1991, 0333527178
Foundation Maths A.Croft & R.Davison, Prentice Hall, 2003, 0130454265
Engineering Mathematics through Applications, K.Singh, Palgrave Macmillan, 2011, 9780230274792 (first nine chapters)
Engineering Mathematics (6th Edition) K.A.Stroud, & D.J. Booth, Palgrave Macmillan, 2007, 9781403942463 (Part One, Foundation section)
An Introduction to Mathematics for Engineers: Mechanics, Lee Stephen, Hodder, 2008, 9780340965528
Foundation Maths A.Croft & R.Davison, Prentice Hall, 2003, 0130454265
Engineering Mathematics through Applications, K.Singh, Palgrave Macmillan, 2011, 9780230274792 (first nine chapters)
Engineering Mathematics (6th Edition) K.A.Stroud, & D.J. Booth, Palgrave Macmillan, 2007, 9781403942463 (Part One, Foundation section)
An Introduction to Mathematics for Engineers: Mechanics, Lee Stephen, Hodder, 2008, 9780340965528
Module Resources
N/A
Module Special Admissions Requirements
None