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School of Mathematics

# 1Q1 (MATH19641)

General Information
• Title: Mathematics 1Q1
• Unit code: MATH19641
• Credit rating: 10
• Level: 1
• Pre-requisite units: Good grade in A-level Mathematics, (C1,C2,C3,C4) or equivalent
• Co-requisite units: None
• School responsible: Mathematics
• Member of staff responsible: Dr CDC Steele, Dr RM Thomas
Page Contents
Other Resources
• Online course materials are available through the relevant Blackboard area.

## Unit specification

Aims
The programme unit aims to provide a course in calculus and algebra to students with A-level mathematics or equivalent in schools of Optometry and Chemistry
Brief description
3 - 4 lectures : Revision : C2, C3 material as flagged by diagnostic test. Functions and Geometry : Rational Functions, Partial Fractions, Binomial. Inverse Trigonometric Functions; sec, csc and cot; trig identities; equations of lines and circles, parametric equations; polar coordinates.
4 lectures : Differentiation : Simple Functions; product, quotient and chain rules; Parametric and Implicit Differentiation.
3-4 lectures Integration : Indefinite and Definite Integrals; Integration of simple functions; Integration by parts and of (simple) rational functions.
5 lectures Vectors : Vectors in component form; vector addition, parallelogram and triangle of vectors. Vector equation of straight line. Scalar and vector products. Triple Products
3 lectures : Introduction to ODEs. : Examples of First and Second order ODEs. Role of arbitrary constants. Solution of First-order separable ODEs.
3 lectures : complex numbers. Concept, real and imaginary parts, arithmetic operations. Polar form.
Intended learning outcomes
Knowledge and understanding: Be familiar with functions and geometry, differentiation, integration, vectors, simple ordinary differential equations and complex numbers.
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.
Textbooks
KA Stroud, Engineering Mathematics, Palgrave
Croft et al., Introduction to Engineering Mathematics, Pearson
Learning and teaching processes
Two lectures in weeks 1-5 and 7-12. One smallish-group tutorial in weeks 2-5 and 7-12
Lectures : 22
Tutorials : 10
Hours of private study : 68
Assessment
Diagnostic Followup Coursework (week 4); Weighting within unit 4%
Coursework 2 (week 7); Weighting within unit 8%
Coursework 3 (week 11); Weighting within unit 8%
2 hours end of semester 1 examination; Weighting within unit 80%

## Arrangements

### Lecture Schedule

The lectures for course 1Q1 (MATH19641) for 2012-13 are as follows

• Wednesday 9 am : Alan Turing G107
• Wednesday 10 am : Kilburn Theatre 1.3
• Lectures given by Dr RM Thomas

### Tutorial Group Information

There is a tutorial once per week.

The tutorial for course 1Q1 (MATH19641), 2012-13 for optometry students is as follows

• Monday 1pm: University Place 5.211

The tutorial for course 1Q1 (MATH19641) for chemistry students (2012-13) is as follows

• Friday 11 am : Zochonis Theatre C (weeks 2-11)
• Friday 11am: Alan Turing G207 (week 12)

Online course materials are available for this unit through the relevant Blackboard area.