University Course Planner The University of Adelaide Australia

MATHS 2100 - Real Analysis II

Career: Undergraduate
Units: 3
Term: 4220
Campus: North Terrace
Contact: Up to 4 hours per week
Available for Study Abroad and Exchange: Yes
Available for Non-Award Study: Yes
Pre-Requisite: MATHS 1012
Assessment: Ongoing assessment, examination
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 include: 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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Student Status

Domestic
International

What type of place are you studying in

Commonwealth supported
Full fee paying

Study Level

Undergraduate
Postgraduate Coursework
Non Award

Program of Study

Study Abroad student tuition fees are available here

Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information

Units
EFTSL
Amount
3
0.125
          
  


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
4220 Mon 08/08/2022 Wed 17/08/2022 Fri 16/09/2022 Fri 28/10/2022


Class Details

Enrolment Class: Workshop
Class Nbr Section Size Available Dates Days Time Location
21411 WR01 110 33 25 Jul - 12 Sep Monday 11am - 12pm Engineering & Mathematics, EM205, Teaching Room
3 Oct - 24 Oct Monday 11am - 12pm Engineering & Mathematics, EM205, Teaching Room
Note: This class will be delivered both online and face to face. Please refer to MyUni for details once enrolled.
Related Class: Tutorial
Class Nbr Section Size Available Dates Days Time Location
25103 TU03 50 40 28 Jul - 15 Sep Thursday 5pm - 6pm Ingkarni Wardli, B18, Teaching Room
6 Oct - 27 Oct Thursday 5pm - 6pm Ingkarni Wardli, B18, Teaching Room
Note: This class is only available for face-to-face (on-campus) students.
25104 TU02 50 13 29 Jul - 16 Sep Friday 3pm - 4pm Ingkarni Wardli, 218, Teaching Room
7 Oct - 28 Oct Friday 3pm - 4pm Ingkarni Wardli, 218, Teaching Room
Note: This class is only available for face-to-face (on-campus) students.
25105 TU01 50 25 25 Jul - 12 Sep Monday 4pm - 5pm Engineering & Mathematics, EM205, Teaching Room
3 Oct - 24 Oct Monday 4pm - 5pm Engineering & Mathematics, EM205, Teaching Room
Note: This class is only available for face-to-face (on-campus) students.
25108 TU04 50 45 27 Jul - 14 Sep Wednesday 4pm - 5pm MyUni, OL, Online Class
5 Oct - 26 Oct Wednesday 4pm - 5pm MyUni, OL, Online Class
Note: This class is for offshore / interstate students only. Where this requirement is not met, students risk being removed from this class. Please refer to MyUni for details once enrolled.
Related Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
28952 LEC0 110 33 This class does not have any timetabled face-to-face sessions. Please check MyUni or contact your Course Coordinator for details.