MATH6406
Partial Differential Equations, Fourier Analysis and Complex Analysis
- Credit
- 6 units
- Catalogue year
- 2027
- Recorded offerings
- Second Semester
Course information
Many physical processes such as vibrating strings, diffusion of heat and fluid flows are well modelled by partial differential equations and/or integral equations. This course provides an introduction to methods for solving and analysing standard partial differential equations and integral equations, including an introduction to complex analytic techniques.
Requisite and Incompatibility
You will need to contact the Mathematical Sciences Institute to request a permission code to enrol in this course.
Learning Outcomes
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:
Explain the fundamental concepts of partial differential equations and their role in modern mathematics and applied contexts
Demonstrate accurate and efficient use of Fourier series, complex analysis and integral transform techniques
Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from partial differential equations and complex analysis
Apply problem-solving using Fourier series, complex analysis and integral transform techniques applied to diverse situations in physics, engineering and other mathematical contexts.
Explain the use and applications of partial differential equations and/or complex analysis to some topic related to undergraduate study, employment or other experience.
UG Version
On satisfying the requirements of this course, students will have the knowledge and skills to:
1. Explain the fundamental concepts of partial differential equations and their role in modern mathematics and applied contexts2. Demonstrate accurate and efficient use of Fourier series, complex analysis and integral transform techniques3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from partial differential equations and complex analysis4. Apply problem-solving using Fourier series, complex analysis and integral transform techniques applied to diverse situations in physics, engineering and other mathematical contexts.
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