Available in 2020
Course code

MATH1510

Units

10 units

Level

1000 level

## Course handbook

### Description

Discrete mathematics is the study of mathematical structures that are discrete, separated or distinct; in contrast with calculus which deals with continuous change. It is an important area of pure and applied mathematics, as well as providing the mathematical basis for the understanding of computers and modern computation. Discrete Mathematics is important in the sciences, where it has increasing application in many areas, an exemplar of which is the understanding of DNA sequences in molecular biology. The Discrete Mathematics course introduces first year students to the basic concepts of discrete mathematics, covering topics such as sets, logic, enumeration methods, probability, recurrence relations, induction and graph theory. The course provides important background for students pursuing a BMath degree. It covers much of the mathematics essential for students majoring in Computer Science or Software Engineering, and is a compulsory course in those degree programs.

### Availability2020 Course Timetables

#### Callaghan

• Semester 2 - 2020

### Learning outcomes

On successful completion of the course students will be able to:

1. Read, interpret and write some basic mathematical notation

2. Recognise and/or construct examples of mathematical objects introduced during the course, such as sets and functions

3. Identify and use several mathematical models, (e.g. propositional logic, trees) including some of those underlying computing and information technology

4. Recognise valid, logical, mathematical arguments and construct valid arguments/proofs

5. Simplify complex mathematical scenarios using logical thinking and problem-solving skills.

### Content

• Elementary set theory
• Relations and functions
• Graph theory
• Modular arithmetic
• Logic and proofs
• Enumeration techniques
• Elementary probability theory
• Recurrence relations

### Assumed knowledge

HSC Advanced Mathematics (Bands 5 or 6), or equivalent.

### Assessment items

Quiz: Quiz

Formal Examination: Formal examination

Written Assignment: Written Assignments

Quiz: Online quiz

### Contact hours

#### Callaghan

##### Lecture

Face to Face On Campus 4 hour(s) per Week for Full Term

##### Workshop

Face to Face On Campus 2 hour(s) per Week for 11 Weeks

#### Callaghan

##### Lecture

Face to Face On Campus 4 hour(s) per Week for Full Term

##### Workshop

Face to Face On Campus 2 hour(s) per Week for 11 Weeks