Undergraduate Course: Geometry & Convergence (MATH08003)
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 8 (Year 1 Undergraduate) |
Credits |
10 |
| Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Year 1) |
| Course website |
https://info.maths.ed.ac.uk/teaching.html
|
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. Iteration to solve equations. Use of 'seq' and 'do' loops in Maple. (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. |
Information for Visiting Students
| Pre-requisites |
None |
| Displayed in Visiting Students Prospectus? |
Yes |
Course Delivery Information
|
| Delivery period: 2010/11 Semester 2, Available to all students (SV1)
|
WebCT enabled: Yes |
Quota: 272 |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| Central | Lecture | | 1-11 | 12:10 - 13:00 | | | | | | Central | Lecture | | 1-11 | | | | 12:10 - 13:00 | |
| First Class |
Week 1, Monday, 12:10 - 13:00, Zone: Central. David Hume Tower, Lecture Theatre C |
| Additional information |
Tutorials: Tu at 9:00, 10:00, 1110 and 1210. |
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
Stationery Requirements |
Comments |
| Main Exam Diet S2 (April/May) | | 2:00 | None. No YAF. | | | Resit Exam Diet (August) | | 2:00 | None. No YAF. | |
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. Understanding the 'sequence', 'set' and 'list' datatypes in Maple.
10. Ability to write simple 'do' loops in Maple.
11. Familiarity with the concept of iteration of a function.
12. Intuitive understanding of the idea of convergence of sequences and series.
|
Assessment Information
Coursework (which may include a Project): 15%; Degree Examination: 85%.
Visiting Student Variant Assessment
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 |
GCo |
Contacts
| Course organiser |
Dr Toby Bailey
Tel: (0131 6)50 5068
Email: t.n.bailey@ed.ac.uk |
Course secretary |
Miss Louise Durie
Tel: (0131 6)50 5050
Email: L.Durie@ed.ac.uk |
|
copyright 2011 The University of Edinburgh -
31 January 2011 7:58 am
|
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