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School of Mathematics

# 1R2

General Information
• Title: Mathematics 1R2
• Unit code: MATH19652
• Credit rating: 10
• Level: 2
• Pre-requisite units: Mathematics 1R1 (MATH19651)
• Co-requisite units:
• School responsible: Mathematics
• Member of staff responsible: Dr CDC Steele, Prof T Stafford
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## Unit specification

Aims
The programme unit aims to provide a basic second semester course in calculus and algebra to students with AS-level mathematics or equivalent in the school of Electrical Engineering.
Brief description
4 lectures : Complex Numbers: Definition. Modulus, argument and conjugate. Algebraic operations in Cartesian and polar form. Argand Diagram.
2 lectures: Hyperbolic Functions: Definition, properties, inverse functions. Derivatives and integrals. Osborne's Rule.
6 lectures: Matrices: Definition. Addition, subtraction and multiplication by a scalar. Multiplication of two matrices. Square Matrices. Inverse Matrices. Solution of Equations.
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.
Textbooks
KA Stroud, Engineering Mathematics, Palgrave
Croft et al., Introduction to Engineering Mathematics, Pearson
Intended learning outcomes
Knowledge and understanding: Be familiar with complex numbers, hyperbolic functions, 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 small group tutorial in weeks 2-12.
Lectures : 22
Tutorials : 11
Hours of private study : 67
Assessment
Coursework 1(week 4), 1 hour Weighting within unit 10%
Coursework 2 (week 6), 1 hour Weighting within unit 10%
Coursework 3 (week 8), 1 hour Weighting within unit 10%
Coursework 4 (week 10), 1 hour Weighting within unit 10%
Retests available 1 week later
2 hour examination (semester 2) Weighting within unit 60%

## Arrangements

This is a first-year second-semester module for those students from Electrical Engineering and Electronics who took 1R1 in semester 1.

### Lectures

There are two lectures each week as follows

• The lectures for 1R2 for 2009-10 are

• Wednesday 9 in in Renold/C9 (weeks 1-4, 6-12)
• Wednesday 9 am in Renold/D5 (week 5)
• Thursday 4 pm in Renold/C9 (weeks 1-4 and 6-12)
• Friday 9 am in Renold/D5 (week 5)

Lectures are given (in most weeks) by Prof T Stafford but in week 5, the lectures are given by Dr CDC Steele

• Office hours : Prof Stafford : Friday 10:30 to 11:30 in Turing/2.116, Thursday 5 pm in Renold/C9
• Office hours : Dr Steele : 12 noon to 1:30 pm Tuesday, 12 noon to 1 pm Friday. Both in GB/C6.
• ### Tutorials

• 1R2 Tutorials : Electrical and Electronic : Friday 12 noon (2009-10)

• Group E6 in Sackville/H10
• Group E7 in George Begg / C5
• Test time, Monday 9 am (week 4 onwards) room Sackville/G11

Tutorial groups are the same as the 1R1 groups but the rooms have changed

• Online course materials are available for this unit.