Introduction to the theory of partial differential equations by discussing the main examples (Laplace equation, heat equation, wave equation and transport equations) and their applications.
Differential equations are a fundamental mathematical tool for the study of systems that change over time and are used in most areas of science, engineering and mathematics.
|Paper title||Partial Differential Equations|
|Teaching period||Second Semester|
|Domestic Tuition Fees (NZD)||$904.05|
|International Tuition Fees (NZD)||$3,954.75|
- MATH 202 and MATH 203 and (MATH 262 or COMO 204)
- MATH 362
- Recommended Preparation
- MATH 301
- Schedule C
- Arts and Music, Science
- This paper is particularly relevant for students majoring in Mathematics, Statistics, Zoology, Economics, Design or any other field in which the natural world is being modelled by differential equations.
- More information link
- View more information about MATH 304
- Teaching staff
- Dr Florian Beyer
- Paper Structure
- Main topics:
- The transport equation (initial value problem, characteristics)
- The Poisson equation (harmonic functions, mean value theorem for harmonic functions, maximum principle, Green's function, boundary value problem)
- The wave equation (d'Alembert formula, energy methods, domain of dependence, finite propagation speed, Initial boundary value problem)
- Non-linear first order PDE (characteristics, conservation laws, shocks)
- Teaching Arrangements
- Five lectures a fortnight
One tutorial per week.
- Lecture Notes: Lecture notes will be made available chapter-by-chapter during the
semester on the resource webpage. These lecture notes are the main reference for this
Book: Partial differential equations/Lawrence C. Evans (on reserve in the library).
- Course outline
- View course outline for MATH 304
- Graduate Attributes Emphasised
- Critical thinking.
View more information about Otago's graduate attributes.
- Learning Outcomes
- Demonstrate in-depth understanding of the central concepts and theories.