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
Mathematical statistics
Mathematics
Pure mathematics