- Code MATH2301
- Unit Value 6 units
- Offered by Mathematical Sciences Institute
- ANU College ANU Joint Colleges of Science
- Course subject Mathematics
- Areas of interest Mathematics
- Academic career UGRD
- Muhammad Khusyairi
- Mode of delivery In Person
Second Semester 2019
See Future Offerings
This course is designed to show some of the interdependence of mathematics and computing, and is designed for students in both computer science and mathematics.
Topics to be covered include:
Foundations - Relations on sets, including equivalence, partial order relations and relational databases; properties of functions, permutations, arithmetic of integers modulo n.
Grammars and Automata - Phrase structure grammars, finite state automata, and the connections between the language accepted by an automaton, regular sets and regular grammars.
Graph Theory - Hamiltonian circuits, vertex colouring and the chromatic polynomial of a graph, planar graphs, applications including the travelling salesperson problem and scheduling problems.
Game Theory - Games of strategy as an application of graph theory, matrix games and solution of matrix games.
Upon successful completion, students will have the knowledge and skills to:
On satisfying the requirements of this course, students will have the knowledge and skills to:1. Explain some of the major concepts of Discrete Mathematics and their role in modern mathematics.
2. Explain the relationship between languages, finite state automata and regular sets.
3. Use graph theoretic methods to solve appropriate problems.
4. To decide appropriate methods to use when solving a problem in the topics covered.
5. Solve problems with a good degree of accuracy.
6. Use the internet and library to research some areas of the course.
7. Experience working together to solve certain problems.
Assessment will be based on:
- Learning Portfolio (10%; LO1-7)
- Assignments (3) (30%; LO 1-7)
- Mid-semester test (15%; LO1-5)
- Final examination (45%; LO1-5)
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WorkloadThree lectures per week and regular workshops.
Requisite and Incompatibility
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- Student Contribution Band:
- Unit value:
- 6 units
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