THE UNIVERSITY of EDINBURGH

DEGREE REGULATIONS & PROGRAMMES OF STUDY 2012/2013
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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Foundations of Calculus (MATH08005)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Course typeStandard AvailabilityAvailable to all students
Credit level (Normal year taken)SCQF Level 8 (Year 2 Undergraduate) Credits10
Home subject areaMathematics Other subject areaSpecialist Mathematics & Statistics (Year 2)
Course website https://info.maths.ed.ac.uk/teaching.html Taught in Gaelic?No
Course descriptionCore 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 (not applicable to Visiting Students)
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)) OR ( Applicable Mathematics 1+2 (Physics) (MATH08049) AND Mathematical Methods 1+2 (Physics) (MATH08050))
Co-requisites
Prohibited Combinations Other requirements None
Additional Costs None
Information for Visiting Students
Pre-requisitesNone
Displayed in Visiting Students Prospectus?Yes
Course Delivery Information
Delivery period: 2012/13 Semester 1, Available to all students (SV1) WebCT enabled:  Yes Quota:  281
Location Activity Description Weeks Monday Tuesday Wednesday Thursday Friday
King's BuildingsLectureAsh Labs Th 11-11 12:10 - 13:00
King's BuildingsLectureAsh Labs Th 11-11 12:10 - 13:00
First Class First class information not currently available
Additional information Tutorials: Th at 1000, 1110 or 1210.
Exam Information
Exam Diet Paper Name Hours:Minutes
Main Exam Diet S1 (December)Foundations of Calculus2:00
Resit Exam Diet (August)2:00
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
KeywordsFoC
Contacts
Course organiserDr Nikolaos Bournaveas
Tel: (0131 6)50 5063
Email: 		Course secretaryMr Martin Delaney
Tel: (0131 6)50 6427
Email:
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© Copyright 2012 The University of Edinburgh - 6 March 2012 6:15 am