# Unit information: Analysis 1B in 2016/17

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Unit name Analysis 1B MATH10006 10 C/4 Teaching Block 2 (weeks 13 - 24) Dr. Schubert Not open Analysis 1A None School of Mathematics Faculty of Science

## Description

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 details

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 Details

90% 1.5 hour examination

10% coursework

## Reading and References

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