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School of Mathematics

# 0B1/1B1 (MATH19801)

General Information
• Title: Mathematics 0B1
• Unit code: MATH19801
• Credit rating: 10
• Level: 0
• Pre-requisite units: AS-level mathematics or equivalent
• Co-requisite units:
• School responsible: Mathematics
• Member of staff responsible: Dr CDC Steele, Dr C Dean
Page Contents
Other Resources
• Online course materials are available on Blackboard

## Unit specification

Aims
The programme unit aims to provide a basic course in calculus and algebra to students with AS-level mathematics or equivalent in schools / units of Foundation Studies
Brief description
Seven lectures : Algebra and Functions.Functions and Inverse Functions. Polynomials, rational functions, trigonometric and inverse trigonometric, logarithms and exponentials. Solutions of quadratic, polynomial and trigonometric equations. Partial Fractions.
Five lectures: Differentiation. Definition. Standars Derivatives. Product, quotient and 'function of a function' rules. Stationary points. [Higher derivatives?]
Six lectures: Integration. Definition as reverse of differentiation. Definite integrals and areas under curves. Standard integrals. Integration by substitution (u=f(x)). Integration by parts. Integration by partial fractions.
Four lectures: Series.Arithmetic, geometric and binomial series. Infinite series and convergence. Taylor and Maclaurin.
Croft et al., Foundation Maths, Pearson
Bostock and Chandler, Mathematics, The core course for A-level, Stanley Thornes
Bostock and Chandler, Further Pure Mathematics, Stanley Thornes
Intended learning outcomes
Knowledge and understanding:Be familiar with simple algebra, functions, differentiation, integration 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 1-5 and 7-12. One tutorial (in small groups) in weeks 2-5 and 7-12
Lectures : 22
Tutorials : 10
Hours of private study : 68
Assessment
Periodic Quizzes during tutorials (cumulative 16%)
Coursework : (week 10) Weighting within unit 14%
2 hour examination Weighting within unit 70%

## Arrangements

This is a first semester course for students in the Foundation Year.

All students attend two lectures per week. These run from week 1 to week 12 (except week 6).

### Lecture times and rooms

The lectures for course 0B1/1B1 (MATH19801) for 2012-13 are as follows

The tutorials for course 0B1/1B1 (MATH19801) for 2012-13 are Friday 10am

### Tutorial times and rooms

Students attend one tutorial class per week. Tutorials run in weeks 2 to 5 and 7 to 12. Attendance will be monitored.

Foundation Year
Friday 10 am; various rooms

Online course materials are available on Blackboard.