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Degree Regulations & Programmes of Study 2010/2011
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DRPS : Course Catalogue : School of Mathematics : Mathematics

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 08 (Year 2 Undergraduate) Credits 10
Home subject area Mathematics Other subject area Specialist Mathematics & Statistics (Year 2)
Course website http://student.maths.ed.ac.uk
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.
Entry Requirements
Pre-requisites Students MUST have passed: ( Practical Calculus (MATH08001) AND Solving Equations (MATH08002) AND Geometry & Convergence (MATH08003) AND Group Theory: An Introduction to Abstract Mathematics (MATH08004)) OR ( Applicable Mathematics 1 (MATH08027) AND Mathematical Methods 1 (MATH08029) AND Mathematical Methods 2 (MATH08032) AND Applicable Mathematics 2 (MATH08031)) OR ( Mathematics for Informatics 1a (MATH08046) AND Mathematics for Informatics 1b (MINF08001) AND Mathematics for Informatics 2a (MINF08002) AND Mathematics for Informatics 2b (MATH08047))
Co-requisites
Prohibited Combinations Other requirements None
Additional Costs None
Information for Visiting Students
Pre-requisites None
Prospectus website http://www.ed.ac.uk/studying/visiting-exchange/courses
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 BuildingsLecture1-11 12:10 - 13:00
King's BuildingsLecture1-11 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 0900, 1000, 1110 and 1210.
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%.
Please see Visiting Student Prospectus website for Visiting Student Assessment information
Special Arrangements
Not entered
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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copyright 2010 The University of Edinburgh - 1 September 2010 6:17 am