|Unit level:||Level 1|
|Teaching period(s):||Semester 2|
|Offered by||School of Mathematics|
|Available as a free choice unit?:||N
The course unit aims to provide a second semester course in calculus and algebra to students in Foundation Studies entering University with AS-level mathematics or equivalent.
Knowledge and understanding: Be familiar with complex numbers, geometry, matrices, integration, simple ordinary differential equations and partial differentiation
Intellectual skills: Be able to carry out routine operations involving the topics in the syllabus
Transferable skills and personal qualities: Have a set of tools and methods that can be applied in the courses given in the host department or in subsequent years.
- Other - 20%
- Written exam - 80%
Assessment Further Information
Coursework 1 (week 4 or week 5 and it will be week 5 in 2017/18 ). Weighting within unit 10%
Coursework 2 (week 10). Weighting within unit 10%
2 hour examination in semester 2. Weighting within unit 80%
4 lectures : Complex Numbers. Definition. Modules, argument and conjugate. Algebraic operations in Cartesian and polar form. Argand Diagram.
2 lectures: Geometry. Equations of straight lines and circles. Perpendicular and parallel lines.
6 lectures: Matrices. Definition. Addition, subtraction and multiplication by a scalar. Multiplication of two Matrices. Square Matrices. Inverse Matrices. Soloution of Equations. Determinants.
6 lectures: Further Integration/ODEs. Integration by substitution (x=g(u)). First-order ODEs. Separable Equations. Linear Equations and integrating factors.
4 lectures: Further/Partial Differentiation: Parametric and Implicit Differentiation. Partial Differentiation. Total Differentiation.
BOSTOCK, L., & CHANDLER, S. 1981. Mathematics - the core course for A-level. Thornes, Cheltenham. (ISBN0859503062)
BOSTOCK, L., CHANDLER, S., & ROURKE, C. 1982. Further pure mathematics. Thornes, Cheltenham. (ISBN0859501035)
CROFT, T. & DAVISON, R, 2008. Mathematics for engineers: a modern interactive approach (3rd ed.) Pearson, Harlow.
- Lectures - 24 hours
- Tutorials - 11 hours
- Independent study hours - 65 hours