|Unit level:||Level 1|
|Teaching period(s):||Semester 2|
|Offered by||School of Mathematics|
|Available as a free choice unit?:||N
To provide an elementary second-semester course in calculus and algebra to students entering the university with no post-GCSE mathematics in the Foundation Year.
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.
- Other - 20%
- Written exam - 80%
Assessment Further Information
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%
4 lectures: Integration.
Derivatives and anti-derivatives; indefinite integrals and integration using tables/inspection; definite integrals and the area under graph; integration by substitution.
4 Lectures: Trigonometry.
Trigonometric functions; addition formulas and further identities; inverse trigonometric functions; using trigonometric identities for integration.
3 Lectures: Sequences and series.
Arithmetic progressions; geometric progressions; polynomials and the binomial theorem.
6 Lectures: Further calculus.
Differential and derivative; Taylor series; implicit differentiation; integral and differential; integration by parts.
5 Lectures: Rational functions.
Proper and improper rational functions; polynomials and long division; partial fractions decomposition; integration of rational functions.
BOOTH, D. 1998. Foundation Mathematics (3rd ed.). Addison-Wesley, Harlow. (ISBN0201342944)
CROFT, A & DAVISON, R. 2010. Foundation Maths (5th ed.) Pearson Education, Harlow. (ISBN9780273730767)
STROUD, K., & BOOTH, D.J, 2009. Foundation mathematics. Palgrave Macmillan, Basingstoke. (ISBN9780230579071 / ISBN0230579078)
- Lectures - 24 hours
- Tutorials - 11 hours
- Independent study hours - 65 hours