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
S1-FF-CLAYTON-FLEXIBLE

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 summary

Examination (3 hours and 10 minutes): 60% (Hurdle)

Continuous assessment: 40% (Hurdle)

Hurdle requirement: If you would otherwise have passed the unit but you do not achieve at least 45% in the end of semester written examination and continuous assessment you will receive a Hurdle Fail (NH) grade and a mark of 45 on your transcript.

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
Financial and insurance mathematics
Mathematical statistics
Mathematics
Pure mathematics