Overview
Offerings
S1-01-CLAYTON-ON-CAMPUS
Rules
Enrolment Rule
Contacts
Chief Examiner(s)
Professor Andreas Ernst
Unit Coordinator(s)
Professor Andreas Ernst
Notes
You are required to bring your own device, such as a laptop, on which you can complete computational exercises, to the applied classes.
This Level 4 unit and its Level 3 counterpart MTH3330 share the same core content and learning activities such as seminars and applied classes. However, studies at Level 4 are distinguished from those at Level 3 by a deeper understanding of mathematical theories and their applications, higher levels of critical thinking, and greater autonomy in learning.
Learning outcomes
Demonstrate an in-depth understanding of necessary and sufficient optimality conditions for optimisation problems
Analyse and synthesise the mathematical principles behind advanced iterative algorithms for solving unconstrained nonlinear optimisation problems, demonstrating a deep understanding of their theoretical foundations.
Formulate as an optimisation problem the task of training a machine learning model and select and justify an appropriate optimisation algorithm
Demonstrate an understanding of Lagrangian duality and the use of non-smooth optimisation methods to solve Lagrangian dual problems.
Formulate a range of operations research problems as linear programming problems, and solve them using computational techniques
Exhibit a comprehensive understanding of how the most widely used linear programming algorithms operate.
Apply duality theory to prove the optimality of solutions for linear programming problems, demonstrating expertise in theoretical and practical aspects.
Solve complex network optimisation problems using specialised algorithms, showcasing advanced problem-solving skills and the ability to handle intricate optimisation challenges
Teaching approach
Active learning
Assessment
1 - Continuous assessment
2 - Final assessment - Exam (3 hours and 10 minutes)
Scheduled and non-scheduled teaching activities
Applied sessions
Workshops
Workload requirements
Workload
Learning resources
Required resources
Other unit costs
Costs are indicative and subject to change.
Miscellaneous items required (Unit course reader, Printing, Stationery) - $120
Availability in areas of study
Financial and insurance mathematics
Mathematical statistics
Mathematics
Pure mathematics