Undergraduate Course: Foundations of Calculus (MATH08005)
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 2 Undergraduate) |
Credits |
10 |
| Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Year 2) |
| Course website |
https://info.maths.ed.ac.uk/teaching.html
|
Taught in Gaelic? |
No |
| Course description |
Core second year course for Honours Degrees in Mathematics and/or Statistics.
Syllabus summary: Least Upper Bound axiom, sequences and series, convergence tests, limits and continuity, definition of derivative, Rolle's Theorem, Mean Value Theorem and applications, such as a positive derivative implies an increasing function. Real power series, radius of convergence, Taylor's Theorem. |
Information for Visiting Students
| Pre-requisites |
None |
| Displayed in Visiting Students Prospectus? |
Yes |
Course Delivery Information
|
| Delivery period: 2010/11 Semester 1, Available to all students (SV1)
|
WebCT enabled: Yes |
Quota: 281 |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| King's Buildings | Lecture | | 1-11 | | | | | 12:10 - 13:00 | | King's Buildings | Lecture | | 1-11 | | 12:10 - 13:00 | | | |
| First Class |
Week 1, Tuesday, 12:10 - 13:00, Zone: King's Buildings. Ashworth Building, Lecture Theatre 1 |
| Additional information |
Tutorials: Th at 1110 or 1210. |
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
Stationery Requirements |
Comments |
| Main Exam Diet S1 (December) | Foundations of Calculus | 2:00 | Nil. No YAF | | | Resit Exam Diet (August) | | 2:00 | nil. No YAF. | |
Summary of Intended Learning Outcomes
1. Using straightforward epsilon methods to establish convergence/non-convergence of sequences.
2. Using the following tests to check convergence/non-convergence of series: comparison, ratio, root, integral, alternating series and understand absolute convergence.
3. Verifying limits of functions and check continuity using the epsilon-delta method.
4. Computing derivatives from first principles, and by manipulation rules.
5. Calculating the radius of convergence of a power series, and understand the possible behaviour at end points.
6. Performing simple proofs using epsilon-delta techniques.
|
Assessment Information
Coursework (which may include a Project): 15%; Degree Examination: 85%.
|
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 |
FoC |
Contacts
| Course organiser |
Dr Nikolaos Bournaveas
Tel: (0131 6)50 5063
Email: N.Bournaveas@ed.ac.uk |
Course secretary |
Mr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk |
|
copyright 2011 The University of Edinburgh -
31 January 2011 7:58 am
|
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