## Mathematics 0C2

 Unit code: MATH19832 Credit Rating: 10 Unit level: Level 1 Teaching period(s): Semester 2 Offered by School of Mathematics Available as a free choice unit?: N

None

#### Aims

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.

#### 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.

#### Assessment methods

• 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%

#### Syllabus

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)

#### Study hours

• Lectures - 24 hours
• Tutorials - 11 hours
• Independent study hours - 65 hours

#### Teaching staff

Tuomas Sahlsten - Unit coordinator