Unit information: Analysis 1B in 2017/18

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. Jordan
Open unit status	Not open
Pre-requisites	Analysis 1A
Co-requisites	None
School/department	School of Mathematics
Faculty	Faculty of Science

Description including Unit Aims

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.

Additional unit information can be found at http://www.maths.bristol.ac.uk/study/undergrad/current_units/index.html

Intended Learning Outcomes

At the end of the unit, the students should:

• be able to distinguish correct from incorrect and sloppy mathematical reasoning, be comfortable with "proofs by delta and epsilon",
• have a clear notion of the concepts of differentiation and integration,
• have a clear understanding of fundamental functions (such as exponential functions),
• have a clear understanding of series,
• have seen proofs of important results in the course and be able to apply these results to solve standard problems.

Teaching Information

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.

Assessment Information

Reading and References

Reading and references are available at http://www.maths.bristol.ac.uk/study/undergrad/current_units/index.html