Overview

An introduction to real analysis with a special focus on sequences of real numbers and functions. Topics covered include properties of real numbers (infima/suprema and the axiom of completeness), sequences and series of real numbers (order limit theorem, Cauchy sequences and completeness, compactness), properties of functions over the reals (intermediate … For more content click the Read More button below.

Offerings

S1-01-CLAYTON-ON-CAMPUS

Rules

Enrolment Rule

Contacts

Chief Examiner(s)

Associate Professor Jerome Droniou

Unit Coordinator(s)

Associate Professor Jerome Droniou

Learning outcomes

On successful completion of this unit, you should be able to:
1.

Appreciate and develop mathematical proofs and the use of rigorous mathematical arguments;

2.

Appreciate the rich mathematical structure of the real numbers;

3.

Understand the basic concepts of analysis including limits of sequences and series (of real numbers or functions), properties of functions over the reals;

4.

Appreciate the applicability of mathematical ideas to other areas of science;

5.

Identify areas of mathematics where the intuition is unreliable.

Assessment

1 - Continuous assessment
3 - Examination (3 hours and 10 minutes)

Scheduled and non-scheduled teaching activities

Applied sessions
Lectures

Workload requirements

Workload

Other unit costs

Costs are indicative and subject to change.
Miscellaneous items required (Unit course reader, Printing, Stationery)- $120.

Availability in areas of study

Applied mathematics
Mathematical statistics
Mathematics
Pure mathematics