University Course Planner The University of Adelaide Australia

MATHS 2100 - Real Analysis II

Career: Undergraduate
Units: 3
Term: Semester 2
Campus: North Terrace
Contact: Up to 3.5 hours per week
Available for Non-Award Study: Yes
Pre-Requisite: MATHS 1012
Assessment: ongoing assessment 30%, exam 70%
Syllabus:

Much of mathematics relies on our ability to be able to solve equations, if not in explicit exact forms, then at least in being able to establish the existence of solutions. To do this requires a knowledge of so-called "analysis", which in many respects is just Calculus in very general settings. The foundations for this work are commenced in Real Analysis, a course that develops this basic material in a systematic and rigorous manner in the context of real-valued functions of a real variable. Topics covered are: Basic set theory. The real numbers and their basic properties. Sequences: convergence, subsequences, Cauchy sequences. Open, closed, and compact sets of real numbers. Continuous functions and uniform continuity. The Riemann integral. Differentiation and Mean Value theorems. The Fundamental Theorem of Calculus. Series. Power series and Taylor series. Convergence of sequences and series of functions.

Course Fees

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  Commonwealth Supported Student Contribution
Tuition Fees
Units EFTSL Pre-2010 2010 Onwards Domestic International
3 0.125 Band 2 $1,131 Band 2 $1,131 select program select program


Course Outline

A Course Outline which includes Learning Outcomes, Learning Resources, Learning & Teaching for this course may be accessed here


Critical Dates

Term Last Day to Add Online Census Date Last Day to WNF Last Day to WF
Semester 2 Mon 07/08/2017 Thu 31/08/2017 Fri 15/09/2017 Fri 27/10/2017


Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
20846 LE01 90 24 24 Jul - 11 Sep Monday 10am - 11am Engineering Sth, S112, Teaching Room
25 Jul - 12 Sep Tuesday 2pm - 3pm Badger, G31, Macbeth Lecture Theatre
26 Jul - 13 Sep Wednesday 10am - 11am Hughes, 309, Hughes Lecture Theatre
2 Oct - 23 Oct Monday 10am - 11am Engineering Sth, S112, Teaching Room
3 Oct - 24 Oct Tuesday 2pm - 3pm Badger, G31, Macbeth Lecture Theatre
4 Oct - 25 Oct Wednesday 10am - 11am Hughes, 309, Hughes Lecture Theatre
Related Class: Tutorial
Class Nbr Section Size Available Dates Days Time Location
20843 TU01 22 8 28 Jul - 28 Jul Friday 11am - 12pm Engineering & Mathematics, EMG06, Teaching Room
11 Aug - 11 Aug Friday 11am - 12pm Engineering & Mathematics, EMG06, Teaching Room
25 Aug - 25 Aug Friday 11am - 12pm Engineering & Mathematics, EMG06, Teaching Room
8 Sep - 8 Sep Friday 11am - 12pm Engineering & Mathematics, EMG06, Teaching Room
6 Oct - 6 Oct Friday 11am - 12pm Engineering & Mathematics, EMG06, Teaching Room
20 Oct - 20 Oct Friday 11am - 12pm Engineering & Mathematics, EMG06, Teaching Room
20844 TU02 22 FULL 28 Jul - 28 Jul Friday 12pm - 1pm Engineering & Mathematics, EMG07, Teaching Room
11 Aug - 11 Aug Friday 12pm - 1pm Engineering & Mathematics, EMG07, Teaching Room
25 Aug - 25 Aug Friday 12pm - 1pm Engineering & Mathematics, EMG07, Teaching Room
8 Sep - 8 Sep Friday 12pm - 1pm Engineering & Mathematics, EMG07, Teaching Room
6 Oct - 6 Oct Friday 12pm - 1pm Engineering & Mathematics, EMG07, Teaching Room
20 Oct - 20 Oct Friday 12pm - 1pm Engineering & Mathematics, EMG07, Teaching Room
20845 TU03 23 16 28 Jul - 28 Jul Friday 1pm - 2pm Ingkarni Wardli, B18, Teaching Room
11 Aug - 11 Aug Friday 1pm - 2pm Ingkarni Wardli, B18, Teaching Room
25 Aug - 25 Aug Friday 1pm - 2pm Ingkarni Wardli, B18, Teaching Room
8 Sep - 8 Sep Friday 1pm - 2pm Ingkarni Wardli, B18, Teaching Room
6 Oct - 6 Oct Friday 1pm - 2pm Ingkarni Wardli, B18, Teaching Room
20 Oct - 20 Oct Friday 1pm - 2pm Ingkarni Wardli, B18, Teaching Room
21248 TU04 23 FULL 25 Jul - 25 Jul Tuesday 3pm - 4pm Engineering & Mathematics, EMG07, Teaching Room
8 Aug - 8 Aug Tuesday 3pm - 4pm Engineering & Mathematics, EMG07, Teaching Room
22 Aug - 22 Aug Tuesday 3pm - 4pm Engineering & Mathematics, EMG07, Teaching Room
5 Sep - 5 Sep Tuesday 3pm - 4pm Engineering & Mathematics, EMG07, Teaching Room
3 Oct - 3 Oct Tuesday 3pm - 4pm Engineering & Mathematics, EMG07, Teaching Room
17 Oct - 17 Oct Tuesday 3pm - 4pm Engineering & Mathematics, EMG07, Teaching Room