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School of Mathematics

0B2/1B2

General Information
• Title: Mathematics 0B2
• Unit code: MATH19812
• Credit rating: 10
• Level: 0
• Pre-requisite units: 0B1 : MATH19801
• Co-requisite units:
• School responsible: Mathematics
• Member of staff responsible: Dr CDC Steele, Prof M Prest
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Unit specification

Aims
The programme unit aims to provide a second semester course in calculus and algebra to students with AS-level mathematics or equivalent in Foundation Studies.
Brief description
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 and Chandler, Mathematics, The core course for A-level, Stanley Thornes
Bostock and Chandler, Further Pure Mathematics, Stanley Thornes
Croft et al., Mathematics for Engineers, Pearson
Intended learning outcomes
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.
Learning and teaching processes
Two lectures per week. One tutoral (in small groups) in weeks 2-12.
Lectures : 22
Tutorials : 11
Hours of private study : 67
Assessment
Coursework 1 (week 4) Weighting within unit 10%
Coursework 2 (week 10) Weighting within unit 10%
2 hour examination in semester 2 Weighting within unit 80%

Arrangements

There are two lectures per week in weeks 1-12 . There is a tutorial each week, from week 2 to week 12. Students are divided into small groups for the tutorials.

The lectures for course 0B2 (MATH19812) for 2012-13 are as follows

• Tuesday 9 am in Renold/C2
• Friday 4 pm : Renold/C9

Lectures given by Prof M Prest

The tutorials for 0B2 (MATH19812) for Foundation Year Students are Friday 9 am

Online course materials are available for this unit. Further material on Blackboard