Unit name | Analysis 1 |
---|---|
Unit code | MATH11006 |
Credit points | 20 |
Level of study | C/4 |
Teaching block(s) |
Teaching Block 4 (weeks 1-24) |
Unit director | Dr. McGillivray |
Open unit status | Not open |
Pre-requisites |
Normally an A at A-level mathematics or equivalent. |
Co-requisites |
None |
School/department | School of Mathematics |
Faculty | Faculty of Science |
Analysis introduces the style of logically precise formulation and reasoning that is characteristic of university-level mathematics; it studies the foundations of elementary calculus in this style. It starts from basic properties of the real numbers, and works up to a rigorous treatment of continuous and differentiable functions.
Aims:
The unit aims to provide some basic tools and concepts for mathematics at the undergraduate level, with particular emphasis on
fostering students' ability to think clearly and to appreciate the difference between a mathematically correct treatment and one that is merely heuristic; introducing rigorous mathematical treatments of some fundamental topics in mathematics.
Syllabus
Weeks 1-12
Weeks 13-24
Relation to Other Units
The unit gives the foundations for all other units in the Mathematics Honours programmes.
At the end of the unit, the students should:
Transferable Skills:
Clear logical thinking; clear mathematical writing; problem solving; the assimilation of abstract and novel ideas.
Lectures supported by problem classes, homework problem sheets, and bi-weekly small-group tutorials.
The final assessment mark for the unit is constructed from two unseen written examinations: a January mid-sessional examination (counting 10%) and a May/June examination (counting 90%). Calculators and notes are NOT permitted in these examinations.
The mid-sessional examination in January lasts one hour. There are two parts, A and B. Part A consists of 4 shorter questions, ALL of which will be used for assessment. Part B consists of three longer questions, of which the best TWO will be used for assessment. Part A contributes 40% of the overall mark for the paper and Part B contributes 60%. The summer examination in May/June lasts two-and-a-half hours. There are again two parts, A and B. Part A consists of 10 shorter questions, ALL of which will be used for assessment. Part B consists of five longer questions, of which the best FOUR will be used for assessment. Part A contributes 40% of the overall mark for the paper and Part B contributes 60%.