Undergraduate Course: Mathematical Methods 0 (Foundation) (MATH07001)
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 |
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 |
|
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 | | | | 17:10 - 18:00 | | | Central | Lecture | | 1-11 | 17:10 - 18:00 | | | | | | Central | Lecture | | 1-11 | | | 17:10 - 18:00 | | |
| First Class |
Week 1, Monday, 17:10 - 18:00, Zone: Central. Appleton Tower, M2 B |
| Additional 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). |
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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