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 | *In 2012-13 : this course is available only to students retaking it and will be assessed on an 'exam only' basis.*
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
Not being delivered |
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.
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Assessment Information
Coursework (which may include a Project): 15%; Degree Examination: 85%.
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Special Arrangements
None |
Additional Information
Academic description |
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Syllabus |
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Transferable skills |
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Reading list |
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Study Abroad |
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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 |
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