Practical Calculus (CPD) (U03827)

? Credit Points : 10 ? SCQF Level : 8 ? Acronym : MAT-1-PCa

Core first year course for Honours Degrees in Mathematics and/or Statistics. Syllabus summary: Limits and the definition of the derivative. Rules of differentiation. Taylor-Maclaurin polynomials; maxima and minima of functions. The Binomial Theorem. Definite integrals; the method of exhaustion; indefinite integrals and the Fundamental Theorem of Calculus. Methods of integration. Applications of integration: volumes and surface areas of figures of revolution. Graphing functions; other coordinate systems. Decay equation.

Entry Requirements

? This course is not available to visting students.

? Pre-requisites : H-Grade Mathematics or equivalent

? Prohibited combinations : NB : Not available to full-time Undergraduate students.

? Costs : SEED Funding Required

Subject Areas

Home subject area

Specialist Mathematics & Statistics (Year 1), (School of Mathematics, Schedule P)

Delivery Information

? Normal year taken : 1st year

? Delivery Period : Semester 1 (Blocks 1-2)

First Class Information

Date	Start	End	Room	Area	Additional Information
24/09/2007	12:10	13:00			NOT FOR UNDERGRADUATES - PLEASE IGNORE

? Additional Class Information : The course is taught entirely as a distance learning course with no scheduled contact hours. WebCT will be the teaching medium with course texts and a dedicated tutor.

Summary of Intended Learning Outcomes

1. Differentiating all combinations of the elementary functions using the rules of differentiation and x^n (n=-2, 1, 2, 3) and sin x from the definition.
2. Integrating a large range of functions.
3. Computing Taylor-Maclaurin series approximations to functions.
4. Describing properties of graphs of functions.
5. Describing the turning points of functions of one variable using calculus methods.