Introduction to partial differential equations that arise in applied mathematics, physics, biological science, commerce, and engineering. First-order PDEs: the linear wave equation, method of characteristics, traffic flow models, wave breaking, and shocks. Second-order PDEs: Classification of PDEs and characteristic curves; parabolic, elliptic, and hyperbolic equations; initial and boundary value problems; separation of variables techniques; D'Alembert's solution; orthogonal functions and Sturm-Liouville theory; fundamental solutions and Green's functions
|Unit name||Partial Differential Equations, Applications and Methods 3|
|Faculty/School||College of Sciences and Engineering
School of Natural Sciences
|Available as student elective?||Yes|
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- KMA252 or KME271
3x1-hr lectures, 1-hr tutorial weekly
2-hr exam (70%), assignments (20%) and project (10%)
|Timetable||View the lecture timetable | View the full unit timetable|
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