Module Descriptors
MATHEMATICAL PRINCIPLES
MATH40297
Key Facts
Faculty of Computing, Engineering and Sciences
Level 4
15 credits
Contact
Leader: Christopher Mann
Email: C.M.Mann@staffs.ac.uk
Hours of Study
Scheduled Learning and Teaching Activities: 36
Independent Study Hours: 114
Total Learning Hours: 150
Assessment
- TEST weighted at 100%
Module Details
Module Indicative Content
Algebra Techniques:
Complex Numbers. Hyperbolic functions. Sequences and series. Taylor and McLaurin Series.
Calculus:
Revision of ordinary differentiation: Chain, Product and Quotient Rules.
Introduction to Partial Differentation: Chain Rule, max/min of functions of several variables.
Integration methods including by substitutions.
Set Theory
Methods of proof including induction.
Mechanics (Vector Based Methods)
Kinematics: motion under constant acceleration.
Kinetics: Newton's Laws. Force, energy, work, power, momemtum, impulse.
Problems in 1, 2 and 3 dimensional space, concentrating on linear motion, but not necessarily excluding angular motion.
Complex Numbers. Hyperbolic functions. Sequences and series. Taylor and McLaurin Series.
Calculus:
Revision of ordinary differentiation: Chain, Product and Quotient Rules.
Introduction to Partial Differentation: Chain Rule, max/min of functions of several variables.
Integration methods including by substitutions.
Set Theory
Methods of proof including induction.
Mechanics (Vector Based Methods)
Kinematics: motion under constant acceleration.
Kinetics: Newton's Laws. Force, energy, work, power, momemtum, impulse.
Problems in 1, 2 and 3 dimensional space, concentrating on linear motion, but not necessarily excluding angular motion.
Module Learning Strategies
The material will be introduced through 24 lectures (2 hours per week) and 12 examples classes/ tutorials (1 hour per week in groups of 20 students maximum).
Module Resources
N/A
Module Additional Assessment Details
A suite of 3 x 1 hour short answer tests, covering all learning outcomes.
Module Texts
Foundation Mathematics for Engineers, J. Berry and P. Wainwright, Macmillan, London, 1991, ISBN-10: 0333527178
A First Course in Abstract Algebra (International Edition), John B. Fraleigh, Pearson Education; 7 edition, 2002) ISBN-10: 0321156080
Mathematics for Engineers and Scientists, Harold Cohen, Prentice-Hall International, 1992, ISBN-10: -135641543
Classical Mechanics: An Undergraduate Text, R. Douglas Gregory, Cambridge University Press, 2006, ISBN-10:0521534097.
A First Course in Abstract Algebra (International Edition), John B. Fraleigh, Pearson Education; 7 edition, 2002) ISBN-10: 0321156080
Mathematics for Engineers and Scientists, Harold Cohen, Prentice-Hall International, 1992, ISBN-10: -135641543
Classical Mechanics: An Undergraduate Text, R. Douglas Gregory, Cambridge University Press, 2006, ISBN-10:0521534097.
Module Special Admissions Requirements
CE61015-4 Mathematical Foundations, A Level Mathematics, or equivalent.