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Mathematical Sciences Institute · ANU College of Systems and Society
In physics, economics and engineering, we frequently encounter quantities (for example energy) that depend on many variables (such as position, velocity, temperature). Usually, this dependency is expressed through a partial differential equation, and solving these equations is important for understanding these complex relationships. In this course, we will study first- and second-order partial differential equations. The solution methods studied in this course will include the method of characteristics, separation of variables, Fourier series and Fourier transforms. This course will be useful for majors in economics, mathematical finance, engineering and physics. We will illustrate the theory with examples from these disciplines.
Mid-semester exam
Learning outcomes 1, 2, 3, 4
Workshop presentations
Learning outcomes 1, 2, 3, 4
Regular Assignments - weekly or once every two weeks
Learning outcomes 1, 2, 3, 4
Final exam
Learning outcomes 1, 2, 3, 4
The expected workload will consist of approximately 130 hours throughout the semester as follows: • Face-to-face component which will consist of 4x1 hours lectures per week (approximately 48 hours total) and 1x1 hour workshop for 10 weeks (10 hours). • Approximately 72 hours of self-directed study which will include preparation for lectures, workshops, assignments, and exams.
None, unless specified in the class summary. Preliminary Reading The lecture materials provide a self-contained account of the material. Students who want additional resources will find a number of relevant texts available in ebook format through the ANU library.