Mathematical Methods 0 (Foundation) (U01692)

? Credit Points : 10 ? SCQF Level : 7 ? Acronym : MAT-1-mf0

Functions, composition of functions, inverse function. Linear functions. Graphs of polynomials, trigonometric, exponential and logarithmic functions. Rate of change, limits, differentiation, product and chain rules. Gradient, max/min. Integration, indefinite and definite, simple rules. Areas, simple differential equations.

Entry Requirements

? Pre-requisites : S-grade Mathematics or equivalent

? Prohibited combinations : A-level or Advanced H-grade Mathematics; students with a grade A at H-grade or AS-level Mathematics require permission of the Head of the School of Mathematics

Subject Areas

Home subject area

Other Non-Specialist courses (School of Mathematics), (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
19/09/2006	17:00	18:00	Tutorial Room M2B, Appleton Tower	Central

All of the following classes

Type	Day	Start	End	Area
Lecture	Monday	17:10	18:00	Central
Lecture	Wednesday	17:10	18:00	Central
Lecture	Thursday	17:10	18:00	Central

? Additional Class Information : Alternate Th

Summary of Intended Learning Outcomes

1. Understanding the concept of a function.
2. Ability to compose two functions.
3. Understanding the inverse function.
4. Understanding of the concept of gradient and the ability to derive the equation of a straight line from various data.
5. Ability to sketch graphs of simple variants of a given graph.
6. Ability to sketch the graph of an inverse function.
7. Ability to recognise the likely nature of a function from its graph, based on polynomial, trigonometric, exponential and logarithmic functions.
8. Ability to differentiate simple combinations of xn.
9. Ability to find the gradient and equation of a tangent at a point on a curve.
10. Ability to determine where a function is increasing, decreasing and stationary.
11.Ability to distinguish between maxima, minima and horizontal points of inflection.
12.Ability to sketch curves using differentiation techniques to provide information.
13. Ability to integrate simple combinations of xn.
14. Ability to evaluate a definite integral from an indefinite one.
15. Ability to calculate areas under and between curves.
16. Ability to solve dy/dx=f(x).