Practical Calculus (U01454)

? 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

? Pre-requisites : H-Grade Mathematics or equivalent

? Prohibited combinations : MAT-1-mi1, MAT-1-mm1, MAT-1-mf1

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)

? Contact Teaching Time : 2 hour(s) 30 minutes per week for 11 weeks

First Class Information

Date	Start	End	Room	Area	Additional Information
18/09/2007	12:10	13:00	Lecture Theatre A, David Hume Tower	Central	1st meeting to replace normal tutorial

All of the following classes

Type	Day	Start	End	Area
Lecture	Monday	12:10	13:00	Central
Lecture	Thursday	12:10	13:00	Central

? Additional Class Information : Tutorials: Tu at 1110 and 1210.

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.
6. Using Maple to solve simple problems in Calculus.
7. Using Maple to plot functions of one variable, and interpret the output.