Programs and Courses

Source: https://programsandcourses.anu.edu.au/2026/course/MATH2222 Parent: https://programsandcourses.anu.edu.au/program/AACOM

• Code MATH2222

• Unit Value 6 units

• Offered by Mathematical Sciences Institute

• ANU College ANU College of Systems and Society
• Course subject Mathematics

• Areas of interest Mathematics

• Academic career UGRD

• Course convener
• Prof Uri Onn
• Mode of delivery In Person
• Co-taught Course
• MATH6222
• Offered in

First Semester 2026\

See Future Offerings - STEM Course

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SELT Survey Results

Introduction to Mathematical Thinking: Problem-Solving and Proofs (MATH2222)

• Introduction
• Learning Outcomes
• Indicative Assessment
• Workload
• Inherent Requirements
• Requisite and Incompatibility
• Prescribed Texts
• Preliminary Reading
• Other Information
• Fees
• Offerings and Dates

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:

1. Understand the role of rigorous proof in mathematics.\
2. Demonstrate facility with a range of mathematical and logical arguments.
3. 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, if taken alongside MATH1115

Indicative Assessment

1. Regular written problem sets (30) [LO 1,2,3]
2. Final Exam (50) [LO 1,2,3]
3. Workshop quizzes (20) [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

The expected workload will consist of approximately 130 hours throughout the semester as follows:

• Face-to-face component which will consist of 3x1 hours lectures per week (approximately 36 hours total) and 1x1 hour workshop for 10 weeks (10 hours).

• Approximately 84 hours of self-directed study which will include preparation for lectures, workshops, assignments, and exams.

Inherent Requirements

No specific inherent requirements have been identified in this course.

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Requisite and Incompatibility

Students with excellent results in either the ACT Specialist Mathematics double major, NSW HSC Mathematics Extension 2 or equivalent may take this course together with MATH1115 in the first year. For many students taking MATH1115 in their first year, MATH1005 would be a more appropriate companion choice. If you are not sure which courses to take in your first year, please consult the MSI First-year Coordinator. All other students may enrol in this course if they have completed MATH1116 with a mark of at least 50, or MATH1113 with a mark of at least 60, or MATH1005 with a mark of at least 70, or MATH1013 or MATH1014 with a mark of at least 80. Incompatible: MATH2322, MATH3104, MATH2320, MATH3116 or MATH6222.

Prescribed Texts

None.

Preliminary Reading

Mathematics and Plausible Reasoning, Polya

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) placeor 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.

Course fees

Domestic International

Domestic fee paying students

International fee paying students

Note: Please note that fee information is for current year only.

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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.

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.

2026

2027

First Semester

First Semester