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School of Mathematics

# 1Q2 (MATH19642)

General Information
• Title: Mathematics 1Q2
• Unit code: MATH19642
• Credit rating: 10
• Level: 1
• Pre-requisite units: Mathematics 1Q1 (MA1004)
• Co-requisite units:
• School responsible: Mathematics
• Member of staff responsible: Dr CDC Steele, Dr Y Chahlaoui, Dr C Dean
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Other Resources

## Unit specification

Aims
The programme unit aims to provide a second-semester course in calculus and algebra to students with A-level mathematics or equivalent in schools of Electrical and Electronic Engineering, and Chemistry and other schools
Brief description
Six lectures: Ordinary Differential Equations: First Order Equations - Homogeneous and Linear Equations. Second Order Equations with constant coefficients; complementary functions and particular integrals, homogeneous and non-homogeneous forms. Special cases with non-constant coefficients.
Three lectures: PArtial Differentiation: Introduction. Chain rule for partial differentiation. Total derivatives. Theory of errors.
Three lectures: Series and Limits: Definition of Limits. L'Hopital's Rule. Series - Power Series, Taylor and Maclaurin Series.
Five lectures : Complex Numbers and Hyperbolic Functions. Complex Numbers: definition, algebraic operations, modules and argument. Argand Diagram, De Moivre's theorem. Hyperbolic Functions : definition, elementry properties, inverse functions, derivatives and integrals. Osborne's Rule.
Five lectures: Matrices and Determinants: Definition of an m x n matrix. Matrix addition, subtraction, multiplication by a scalar, matrix multiplication; square matrices, determinants and properties; solution of equations; inverse matrices.
Textbooks
KA Stroud, Engineering Mathematics, Palgrave
Intended learning outcomes
Knowledge and understanding: Be familiar with complex numbers, hyperbolic functions, matrices, ordinary differential equations, partial differentiation and series.
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 in weeks 1-11. One smallish-group tutorial in weeks 2-12. Revision Classes in week 12.
Lectures : 22
Tutorials : 11
Revision Classes : 2
Hours of private study : 65
Assessment
Coursework 1(week 4) Weighting within unit 6.7%
Coursework 2(week 7 Weighting within unit 6.7%
Coursework 3 (week 11) Weighting within unit 6.7%
2 hour examination Weighting within unit 80%

## Arrangements

This is a first-year, second semester module for students in Electrical Engineering, Chemistry and other schools.

### Lectures

The lectures for course 1Q2 (MATH19642) for 2009-10 are as follows

• Wednesday 9 am : Renold/D7
• Friday 9 am : Renold/J17
• Lectures given by Dr Y Chahlaoui and Dr C Dean
• Office hours : Dr Chahloui : 12 noon to 1 pm, Monday and Wednesday
• Office hours : Dr Steele : 12 noon to 1:30 pm Tuesday, 12 noon to 1 pm Friday. Both in GB/C6.

### Tutorials

These start week 2. Each student is assigned to a group which meets once per week. The allocation of groups is the same as the 1Q1 groups but the groups may well meet in new rooms for this semester.

• 1Q2 Tutorials : Chemistry : Friday 10 am (2010-11)

• Group Y1 in Sackville/G37
• 1Q2 Tutorials : Electrical and Electronic : Friday 12 noon (2009-10)

• Group E2 in Renold/E1 ( Note Change
• Group E3 in Renold/D5
• Group E4 in Sackville/H8
• Group E5 in Sackville/D39
• Students in other schools should contact Dr Steele to arrange a tutorial time

Online course materials are available for this unit.