Algebra Techniques:
Complex Numbers. Sequences and series.

Calculus:
Revision of ordinary differentiation: Chain, Product and Quotient Rules.
Introduction to Partial Differentation: Chain Rule

Sets:
Axioms. Subgroups. Cosets. Quotient Groups.

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.

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).

Internet resources.
Students must possess a suitable mathematical calculator of their own.

CE61015-4 Mathematical Foundations, or equivalent.

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.

1. A suite of short answer tests - 50% total, learning outcomes 1-3.
2. End Examination - 2 hours - 50% total, learning outcomes 1-3.