Applicable Mathematics 0 (Foundation) (U01691)

? Credit Points : 10 ? SCQF Level : 7 ? Acronym : MAT-1-af0

Straight lines, perpendicularity, properties of triangles. Radian measure, trigonometric ratios, trigonometric equations, graphs, identities including addition and double-angle formulae, applications to geometry. Quadratics, including completing the square, roots and inequalities. Applications to circles (conics). Polynomial division and factorisation. Index and logarithm laws. Sequences, recurrence relations, limits, arithmetic and geometric series, modelling.

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 M2A, Appleton Tower	Central

All of the following classes

Type	Day	Start	End	Area
Lecture	Tuesday	17:10	18:00	Central
Lecture	Wednesday	12:10	13:00	Central
Lecture	Thursday	17:10	18:00	Central

? Additional Class Information : Alternate Th

Summary of Intended Learning Outcomes

1. Ability to calculate distance between two points.
2. Ability to test for perpendicularity of lines, given their gradients.
3. Understanding of the terms median, altitude, angle bisector and perpendicular bisector for a triangle and their concurrency.
4. Ability to convert between radians and degrees.
5. Knowledge of the trigonometric ratios for simple angles.
6. Ability to solve trigonometric equations.
7. Ability to use the graphs of sin and cos, understanding the terms amplitude and period.
8. Ability to use the addition and double-angle formulae for sin and cos.
9. Ability to divide polynomials by linear terms and to factorise them.
10. Ability to complete the square of a quadratic, with applications.
11. Ability to solve quadratic equations and to understand the role of the discriminant.
12. Ability to construct a quadratic, given its roots.
13. Ability to solve quadratic inequalities.
14. Ability to use the bisection method to estimate roots.
15. Ability to find the centre and radius of a circle, given its formula.
16. Understanding of the nature of a linear first-order recurrence relation and its use in modelling.
17. Understanding of the concept of a limit for a recurrence.