• Offered by Mathematical Sciences Institute
  • ANU College ANU Joint Colleges of Science
  • Classification Advanced
    Specialist
  • Course subject Mathematics
  • Areas of interest Mathematics

This course introduces the key concepts of modern real analysis. The philosophy of this course is that modern analysis play a fundamental role in mathematics itself and in applications to areas such as physics, computer science, economics and engineering.
Topics to be covered include:

  • Review of the real number system
  • The foundations of calculus
  • Elementary set theory
  • Metric spaces
  • Sequences, series and power series
  • Uniform convergence
  • Continuity
  • The contraction mapping principle
  • Foundations of multidimensional calculus
  • Applications to the calculus of variations
  • Integral equations
  • Differential equations.

Note: Graduate students attend joint classes with undergraduates but are assessed separately. This course will have shared lectures with MATH2320 and MATH 3116 but will have different tutorials and assessment which will emphasize the application of techniques.

Learning Outcomes

Upon successful completion, students will have the knowledge and skills to:

On satisfying the requirements of this course, students will have the knowledge and skills to:

1. Explain the fundamental concepts of real analysis and their role in modern mathematics and applied contexts
2. Demonstrate accurate and efficient use of real analysis techniques
3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from real analysis
4. Apply problem-solving using real analysis techniques applied to diverse situations in physics, engineering and other mathematical contexts

Indicative Assessment

Assessment will be based on:

  • Tutorials (10%; LO 1-4)
  • Assignments (20%; LO 1-4)
  • Midsemester exam (20-30%; LO 1-4)
  • Final exam (40-50%; LO 1-4)

The ANU uses Turnitin to enhance student citation and referencing techniques, and to assess assignment submissions as a component of the University's approach to managing Academic Integrity. While the use of Turnitin is not mandatory, the ANU highly recommends Turnitin is used by both teaching staff and students. For additional information regarding Turnitin please visit the ANU Online website.

Workload

Three lectures per week and regular tutorials.

Requisite and Incompatibility

You will need to contact the Mathematical Sciences Institute to request a permission code to enrol in this course.

Fees

Tuition fees are for the academic year indicated at the top of the page.  

If you are a domestic graduate coursework or international student you will be required to pay tuition fees. Tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found at Fees.

Student Contribution Band:
2
Unit value:
6 units

If you are an undergraduate student and have been offered a Commonwealth supported place, your fees are set by the Australian Government for each course. At ANU 1 EFTSL is 48 units (normally 8 x 6-unit courses). You can find your student contribution amount for each course at Fees.  Where there is a unit range displayed for this course, not all unit options below may be available.

Units EFTSL
6.00 0.12500
Domestic fee paying students
Year Fee
2017 $3660
International fee paying students
Year Fee
2017 $4878
Note: Please note that fee information is for current year only.

Offerings, Dates and Class Summary Links

The list of offerings for future years is indicative only.
Class summaries, if available, can be accessed by clicking on the View link for the relevant class number.

First Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary
2795 20 Feb 2017 27 Feb 2017 31 Mar 2017 26 May 2017 In Person N/A

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