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

Analysis 1 is a foundational course in Mathematics, leading on to other areas of analysis, such as topology and measure theory, complex analysis, functional analysis, and harmonic analysis. It also provides important tools for application areas such as theoretical computer science, physics and engineering.

Topics to be covered include: Elementary set theory; metric spaces, sequences, uniform convergence, continuity, the contraction mapping principle; integral equations and differential equations, topological spaces.

Note: This course will have shared lectures with MATH3116 and MATH6110.

Honours Pathway Course: It emphasises mathematical rigor and proof and develops the application of the theory to topics such as differential equations.

Learning Outcomes

Upon successful completion, 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

  1. Assignments (20) [LO 1,2,3,4]
  2. Midsemester exam (30-40%) (30) [LO 1,2,3,4]
  3. Final exam (40-50%) (50) [LO 1,2,3,4]
  4. Precise weights of % ranges to be determined in consultation with the class at first lecture. (null) [LO null]

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

The expected workload will consist of approximately 130-150 hours throughout the semester including:

  • Face-to face component which will consist of 12 x 3 hours lectures per semester (36 hours) and 10 hours of workshops throughout the semester.
  • Optional 12 x 1 hour lectures per semester (12 hours)
  • Approximately 70-90 hours of self-study which will include preparation for lectures, workshops, assignments and exams.

Inherent Requirements

To be determined.

Requisite and Incompatibility

To enrol in this course you must have successfully completed MATH1116 with a mark of 60 or above. You are not able to enrol in this course if you have previously completed MATH3116.

Prescribed Texts

No prescribed texts.

Majors

Specialisations

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
2020 $4050
International fee paying students
Year Fee
2020 $5760
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
3554 24 Feb 2020 02 Mar 2020 31 Mar 2020 29 May 2020 In Person N/A

Responsible Officer: Registrar, Student Administration / Page Contact: Website Administrator / Frequently Asked Questions