Undergraduate Course: Fundamentals of Pure Mathematics (MATH08064)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Credit level (Normal year taken) | SCQF Level 8 (Year 2 Undergraduate) |
Availability | Available to all students |
| SCQF Credits | 20 |
ECTS Credits | 10 |
| Summary | This 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
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Information for Visiting Students
| Pre-requisites | None |
| High Demand Course? |
Yes |
Course Delivery Information
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| Academic year 2015/16, Available to all students (SV1)
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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 )
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| Additional Information (Learning and Teaching) |
Students must pass exam and course overall.
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| 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 Mathematics | 3:00 | | | Resit Exam Diet (August) | Fundamentals of Pure Mathematics | 3:00 | |
Learning Outcomes
On completion of this course, the student will be able to:
- Perform basic set manipulation and to distinguish between common countable and uncountable sets
- Using straightforward epsilon methods to establish convergence/non convergence of sequences and determine whether a given sequence is Cauchy.
- Verifying limits of functions and check continuity using the epsilon-delta method.
- Computing derivatives from first principles, and by manipulation rules.
- Performing simple proofs using epsilon-delta techniques.
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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
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Additional Information
| Graduate Attributes and Skills |
Not entered |
| Keywords | FPM,Maths,is,fun |
Contacts
| Course organiser | Dr Martin Dindos
Tel:
Email: |
Course secretary | Mr Martin Delaney
Tel: (0131 6)50 6427
Email: |
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