0B1/1B1 (MATH19801)

 

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.

Reading List

link to lists for updated links

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%

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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

• Friday 9am : Renold/C9
• Friday 4 pm : Renold/C2
• Lectures given by Dr Carolyn Dean

 

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