This course focuses on the language of mathematical arguments. Rather than attacking advanced topics, we will use simple mathematics to develop an understanding of how results are established. We begin with clearly stated and plausible assumptions or axioms and then develop a more and more complex theory from them. The course, and the lecturer, will have succeeded if you finish the course able to construct valid arguments of your own and to criticise those that are presented to you.
Learning Outcomes
Upon successful completion, students will have the knowledge and skills to:
- Understand the role of rigorous proof in mathematics.
- Be able to construct written arguments using induction, proof by contradiction, counting arguments, and countability.
- Develop problem-solving skills in elementary number theory, graph theory, and probability theory.
Other Information
Students with excellent results in either the ACT Specialist Mathematics double major, NSW HSC Mathematics Extension 2 or equivalent may take this course in first year.
Indicative Assessment
- Weekly problem sets (40%, LO 1,2,3) (40) [LO 1,2,3]
- Mid-semester and final exams (25% and 35%, respectively, LO 1,2,3) (25) [LO 1,2,3]
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 workshops.Inherent Requirements
Not applicable.
Requisite and Incompatibility
Prescribed Texts
Number, Symmetry and Shape by Diane Herrmann and Paul J. Sally Jr.Introduction to Mathematical Thinking: Problem-Solving and Proof by John D'Angelo and Douglas West
Fees
Tuition fees are for the academic year indicated at the top of the page.
Commonwealth Support (CSP) Students
If you 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). More information about your student contribution amount for each course at Fees.
- Student Contribution Band:
- 1
- Unit value:
- 6 units
If you are a domestic graduate coursework student with a Domestic Tuition Fee (DTF) place or international student you will be required to pay course tuition fees (see below). Course tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found 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 |
Course fees
- Domestic fee paying students
| Year | Fee |
|---|---|
| 2021 | $4110 |
- International fee paying students
| Year | Fee |
|---|---|
| 2021 | $5880 |
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.
First Semester
| Class number | Class start date | Last day to enrol | Census date | Class end date | Mode Of Delivery | Class Summary |
|---|---|---|---|---|---|---|
| 3229 | 22 Feb 2021 | 01 Mar 2021 | 31 Mar 2021 | 28 May 2021 | In Person | View |