THE UNIVERSITY of EDINBURGH

DEGREE REGULATIONS & PROGRAMMES OF STUDY 2015/2016

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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Fundamentals of Pure Mathematics (MATH08064)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 8 (Year 2 Undergraduate) AvailabilityAvailable to all students
SCQF Credits20 ECTS Credits10
SummaryThis is a first course in real analysis and a concrete introduction to group theory and the mathematics of symmetry.
Course description The main body of the course description should ideally cover a number of elements;


1) Academic Description


Building on the summary description, a more in-depth, academic description of the learning aims, nature and context of the course.


2) Outline Content


A more detailed outline content or syllabus (where this is convention within the discipline).

N.B. it is advisable not to be overly prescriptive such as indicating in which weeks of the semester certain topics will be taught in the course descriptor since this is likely to change annually.

This level of detail should be articulated in the course handbook if/as required.

3) Student Learning Experience


A narrative description of how the course will be taught, how students are expected to engage with their learning and how they will be expected to evidence and demonstrate their achievement of the intended learning outcomes.


Notes: There are currently two separate input boxes for ¿Syllabus¿ and ¿Academic Description¿ which will be amalgamated in the new course descriptor template


N.B. to facilitate the ¿roll-forward¿ from the old template to the new course descriptor template there are still two separate entry fields on the input screen namely ¿Academic Description¿ and ¿Syllabus¿.

Please use the second input field (Syllabus) to enter firstly the outline content / syllabus information followed by the student learning experience information both in the same input box.

In the presentation screen this information will appear as a single block of text separated only by your paragraphs under the header Course Description.
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: ( Introduction to Linear Algebra (MATH08057) AND Accelerated Proofs and Problem Solving (MATH08071) AND Proofs and Problem Solving (MATH08059)) OR Accelerated Algebra and Calculus for Direct Entry (MATH08062) OR
Co-requisites
Prohibited Combinations Other requirements None
Information for Visiting Students
Pre-requisitesNone
High Demand Course? Yes
Course Delivery Information
Academic year 2015/16, Available to all students (SV1) Quota:  None
Course Start Semester 2
Timetable Timetable
Learning and Teaching activities (Further Info) Total Hours: 200 ( Lecture Hours 44, Seminar/Tutorial Hours 11, Summative Assessment Hours 3, Programme Level Learning and Teaching Hours 4, Directed Learning and Independent Learning Hours 138 )
Additional Information (Learning and Teaching) Students must pass exam and course overall.
Assessment (Further Info) Written Exam 85 %, Coursework 15 %, Practical Exam 0 %
Additional Information (Assessment) Coursework 15%, Examination 85%
Feedback Feedback on assessment points A-B in October.
Exam Information
Exam Diet Paper Name Hours & Minutes
Main Exam Diet S2 (April/May)Fundamentals of Pure Mathematics3:00
Resit Exam Diet (August)Fundamentals of Pure Mathematics3:00
Learning Outcomes
On completion of this course, the student will be able to:
  1. Perform basic set manipulation and to distinguish between common countable and uncountable sets
  2. Using straightforward epsilon methods to establish convergence/non convergence of sequences and determine whether a given sequence is Cauchy.
  3. Verifying limits of functions and check continuity using the epsilon-delta method.
  4. Computing derivatives from first principles, and by manipulation rules.
  5. Performing simple proofs using epsilon-delta techniques.
Reading List
Analysis: Students are expected to have a personal copy of: An Introduction to Analysis by W. R. Wade. (This book is also relevant for Y3 courses.)
Group theory: Students are expected to have a personal copy of:
Groups, by C. R. Jordan and D. A. Jordan
Additional Information
Graduate Attributes and Skills Not entered
KeywordsFPM,Maths,is,fun
Contacts
Course organiserDr Martin Dindos
Tel:
Email:
Course secretaryMr Martin Delaney
Tel: (0131 6)50 6427
Email:
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