Unit name | Analysis 1B |
---|---|
Unit code | MATH10006 |
Credit points | 10 |
Level of study | C/4 |
Teaching block(s) |
Teaching Block 2 (weeks 13 - 24) |
Unit director | Dr. Misha Rudnev |
Open unit status | Not open |
Pre-requisites |
Analysis 1A |
Co-requisites |
None |
School/department | School of Mathematics |
Faculty | Faculty of Science |
Building on Analysis 1A, Analysis 1B emphasises 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 presents a rigourous treatment of differentiation and integration, and includes inverse functions, series, expronential, logarithmic, and trigonometric functions, uniform continuity, and sequences and series of functions. 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 merelyheuristic; introducing rigorous mathematical treatments of some fundamental topics in mathematics, and preparing students for higher level pure mathematics courses involving analysis.
At the end of the unit, the students should:
Lectures, including examples and revision classes, supported by lecture notes with problem sets and model solutions, and small group tutorials. Formative assessment will be provided by problem sheets with questions that will be set by the instructor and marked by the students’ tutors. In addition, each week there will be a 1 hour feedback/problems session in which the lecturer will discuss solutions to some of the set homework problems.