Introduction to discrete mathematics and its use in mathematical modelling. Emphasis will be placed on developing facility, technique and use in applications. Modelling of processes and phenomena which occur in the physical, environmental and life sciences, especially computer science, will be used as a vehicle throughout. Topics to be covered include: logic and set theory, mathematical reasoning, combinatorics and counting, mathematical induction and recurrence relations, graph theory and networks, matrix arithmetic and Markov chains.

## Learning Outcomes

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

- Recall, invent, interpret examples of motivation for mathematical constructs used in discrete mathematics as models of processes in the world.
- Recognise, define, explain and use terminology and notation from discrete mathematics.
- Identify the logical structure of a statement, and then identify the logical structure of an argument that may be used to prove or disprove the statement.
- Perform mathematical calculations in discrete mathematics using methods presented in the course.
- Write simple proofs/construct explicit counterexamples for statements relating to discrete mathematics topics covered in the course.

## Other Information

**Secondary School Prerequisite:**ACT Mathematical Methods or NSW HSC Mathematics or equivalent. (MATH1003 is NOT a prerequisite for this course.)

## Indicative Assessment

- Workshop quizzes (8) [LO 1,2,3,4,5]
- Workshop contributions (8) [LO 1,2,3,4,5]
- Weekly assignments (8) [LO 1,2,3,4,5]
- Mid-Semester Examination (26) [LO 1,2,3,4,5]
- Final Examination Regardless of performance on other assessment items, a minimum scaled score of 40% on the final exam is required to pass the course. (This is known as a 'course hurdle'.) (50) [LO 1,2,3,4,5]

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 including:

• Face-to face component which may consist of approximately 33 hours of lecture activities (usually three one-hour lectures each week), and twenty hours of workshop activities (one two-hour workshop per week in ten weeks of the semester).

• Approximately 77 hours of self directed study which will include preparation for lectures and workshops, completion of regular formative assessment items, and study of the course materials.

## Inherent Requirements

There are no course-specific inherent requirements.

## Prescribed Texts

There are no specific reading books required. PDF copies of all lecture slides will be made available on the course website, in addition to the ECHO lecture recordings.

## Preliminary Reading

Some students may find it helpful to refer to a text book for an alternative exposition of certain topics and extra practice problems. The following text is recommended for this purpose: Susanna Epp: *Discrete Mathematics with Applications; *3rd or 4th or 5th ed. Cengage.

References to this text will be provided for most course topics. The text does not cover every single topic in the course, and covers a number of topics not required for the course, but is nonetheless a good match to course in both level and content.

## Minors

## 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:
- 2
- 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 |

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

## 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 |
---|---|---|---|---|---|---|

3655 | 19 Feb 2024 | 26 Feb 2024 | 31 Mar 2024 | 24 May 2024 | In Person | N/A |