Undergraduate Course: Geometry & Convergence (CPD only) (MATH08054)
Course Outline
| School |
School of Mathematics |
College |
College of Science and Engineering |
| Course type |
Standard |
Availability |
Not available to visiting students |
| Credit level (Normal year taken) |
SCQF Level 8 (Year 1 Undergraduate) |
Credits |
10 |
| Home subject area |
Mathematics |
Other subject area |
None |
| Course website |
None
|
Taught in Gaelic? |
No |
| Course description |
Core first year course for Honours Degrees in Mathematics and/or Statistics. Syllabus summary: (Coordinate and vector geometry) Vector geometry, dot and cross product, lines and planes. Matrices as linear transformations, orthogonal matrices. Coordinate geometry, conics, etc. (Sequences and iteration) Induction. Arithmetic and Geometric Progressions and their sums. (Convergence) Definition of convergence of sequences and some elementary results. Introduction to sums of series. Convergence of sums by comparison with integrals, convergence of standard Taylor series using the integral form of the remainder. |
Entry Requirements
| Pre-requisites |
|
Co-requisites |
|
| Prohibited Combinations |
|
Other requirements |
None
|
| Additional Costs |
SEED Funding Required |
Course Delivery Information
|
| Delivery period: 2010/11 Semester 2, Not available to visiting students (SS1)
|
WebCT enabled: Yes |
Quota: None |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| No Classes have been defined for this Course |
| First Class |
First class information not currently available |
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
Stationery Requirements |
Comments |
| Resit Exam Diet (August) | | : | | |
Summary of Intended Learning Outcomes
1. Ability to compute dot, cross and triple vector products.
2. Ability to perform vector algebra manipulations using expansion of a x (b x c) and properties of the various products.
3. Ability to use vector methods to attack elementary problems in geometry.
4. Familiarity with the idea of a matrix giving a transformation of R^2 or R^3.
5. Familiarity with rotation and reflection matrices in the plane.
6. Familiarity with the standard form of conics and their graphs.
7. Ability to construct proofs by induction in concrete problems.
8. Familiarity with AP's, GP's and their sums.
9. Intuitive understanding of the idea of convergence of sequences and series. |
Assessment Information
Coursework (which may include a Project): 40%
Examination: 60%. |
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Not entered |
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords |
GCoCPD |
Contacts
| Course organiser |
Dr Antony Maciocia
Tel: (0131 6)50 5994
Email: A.Maciocia@ed.ac.uk |
Course secretary |
Miss Fiona Curle
Tel: (0131 6)50 5043
Email: F.Curle@ed.ac.uk |
|
copyright 2011 The University of Edinburgh -
13 January 2011 6:20 am
|
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