This course is designed for students who wish to study mathematics at a level beyond a standard double major in Mathematics at years 11 and 12. International students are not able to enrol in this course.
Topics covered in year 11 will include:
• Applications of the ‘Pigeon Hole Principle’, Review and further properties of the Fibonacci sequence, proofs of Binet’s formula, proof of Fermat’s Little Theorem, develop the algorithm for RSA public key cryptography, proof that RSA public key cryptography works. Properties of the real number system including completeness.
• Countability of the sets of even integers, of odd integers, of all integers, of rational numbers, cardinality of the set of real numbers, power sets and cardinality, Russel’s Paradox, cardinality by geometric argument.
Topics covered in year 12 will include:
• The 5 Platonic solids, proof of Euler’s formula, proof that there are no other Platonic solids using Euler’s formula. A selection of topics from: Aperiodic Tilings of the Plane, spherical and hyperbolic geometries, visualising the fourth dimension, basic notions of topology, two dimensional surfaces, knots and links, fixed point theorems.
• Iterative Dynamical Systems (population growth, logistic equation and extensions), generating fractals through iterative processes, self similarity in nature over a range of scales, Iterated Functions Systems, the Chaos Game, Julia and Mandelbrot sets, deterministic chaos, chaotic behaviour arising from deterministic systems, dimensions of fractals via scaling arguments.
This is Part B of a 2 part course.
In response to COVID-19: Please note that Semester 2 Class Summary information (available under the classes tab) is as up to date as possible. Changes to Class Summaries not captured by this publication will be available to enrolled students via Wattle.
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.
Requisite and Incompatibility
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 |
Offerings, Dates and Class Summary Links
ANU utilises MyTimetable to enable students to view the timetable for their enrolled courses, browse, then self-allocate to small teaching activities / tutorials so they can better plan their time. Find out more on the Timetable webpage.
Class summaries, if available, can be accessed by clicking on the View link for the relevant class number.
Autumn Session
| Class number | Class start date | Last day to enrol | Census date | Class end date | Mode Of Delivery | Class Summary |
|---|---|---|---|---|---|---|
| 5241 | 31 Jan 2020 | 04 Jun 2020 | 25 Jun 2020 | 15 Nov 2020 | In Person | N/A |
