1C2 (MATH19832)

Unit specification

Aims

To provide an elementary second-semester course in calculus and algebra to students with AS-level mathematics or equivalent in departments of Optometry, Textiles and Foundation Year.

Brief description

4 lectures : Definite and indefinite integrals: area under graph, definite integral, relation with derivatives, indefinite integral, table integrals-I.

4 Lectures :- Polynomials and rational functions: polynomials and long division, proper and improper rational functions, partial fractions decomposition.

3 Lectures :- More algebra: progressions and binomial theorem.

3 Lectures :- Trigonometric and inverse trigonometric functions: recollection, addition formulas and further identities, inverse functions.

4 Lectures :- Further differential calculus: differential and derivative, main properties and examples of differentiation, Taylor formula.

4 Lectures :- Integration methods: integral and differential, table integrals-II, integration by parts and by substitution, integration of rational functions.

Intended learning outcomes

Knowledge and understanding: Be familiar with partial fractions, series and functions, differentiation and integration.

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

Link2-list

Booth, D.J., Foundation Mathematics, Pearson

Croft, A.C. ., Foundation Maths, Pearson

Stroud, K.A. and Booth, D.J. , Foundation Mathematics, Palgrave

Learning and teaching processes

Two lectures and one tutorial per week

Lectures : 22

Tutorials : 10

Hours of private study : 68

Assessment

Coursework 1 (week 4); Weighting within unit 10%

Coursework 2 (week 10); Weighting within unit 10%

2 hour end of semester 2 examination; Weighting within unit 80%

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Arrangements

Lecture times and rooms

The lectures for course 0C2/1C2 (MATH19832) for 2012-13 are as follows

• Tuesday 11 am : Renold/D7
• Wednesday 9 am : Sackville/C14
• Lectures given by Dr TT Voronov

Each student will have one tutorial per week starting in week two.

The tutorial Session for course 1C2 (MATH19832) for foundation students is as follows

• Friday 9 am : rooms to be announced here

The tutorial Session for course 1C2 (MATH19832) for Optometry students for 2011-12 is as follows

• Thursday 11 am : room Turing/G108