Undergraduate Course: Applicable Mathematics 0 (Foundation) (MATH07002)
Course Outline
| School |
School of Mathematics |
College |
College of Science and Engineering |
| Course type |
Standard |
Availability |
Available to all students |
| Credit level (Normal year taken) |
SCQF Level 07 (Year 1 Undergraduate) |
Credits |
10 |
| Home subject area |
Mathematics |
Other subject area |
Other Non-Specialist courses (School of Maths) |
| Course website |
http://student.maths.ed.ac.uk |
|
|
| Course description |
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 |
|
Co-requisites |
|
| Prohibited Combinations |
|
Other requirements |
None
|
| Additional Costs |
None |
Course Delivery Information
|
| Delivery period: 2010/11 Semester 1, Available to all students (SV1)
|
WebCT enabled: Yes |
Quota: None |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| Central | Lecture | | 1-11 | | | 12:10 - 13:00 | | | | Central | Lecture | | 1-11 | | | | 17:10 - 18:00 | | | Central | Lecture | | 1-11 | | 17:10 - 18:00 | | | |
| First Class |
Week 1, Tuesday, 17:10 - 18:00, Zone: Central. Appleton Tower, M2 B |
| Additional 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. |
Assessment Information
Coursework: 15%
Degree Examination: 85% |
| Please see Visiting Student Prospectus website for Visiting Student Assessment information |
Special Arrangements
| Not entered |
Contacts
| Course organiser |
Dr Tony Gilbert
Tel: (0131 6)50 5040
Email: A.Gilbert@ed.ac.uk |
Course secretary |
Mrs Karen Downie
Tel: (0131 6)50 5793
Email: K.Downie@ed.ac.uk |
|
copyright 2010 The University of Edinburgh -
1 September 2010 6:17 am
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