Overview
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.
About this paper
| Paper title | Partial Differential Equations |
|---|---|
| Subject | Mathematics |
| EFTS | 0.15 |
| Points | 18 points |
| Teaching period | Semester 1 (On campus) |
| Domestic Tuition Fees ( NZD ) | $955.05 |
| International Tuition Fees | Tuition Fees for international students are elsewhere on this website. |
- Prerequisite
- MATH 202 and MATH 203 and (COMO 204 or MATH 262)
- Restriction
- MATH 362
- Recommended Preparation
- MATH 301
- Schedule C
- Arts and Music, Science
- Eligibility
- 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.
- Contact
- 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. - Textbooks
- 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 paper.
Book: Partial differential equations/Lawrence C. Evans (on reserve in the library). - 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.
Timetable
Overview
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.
About this paper
| Paper title | Partial Differential Equations |
|---|---|
| Subject | Mathematics |
| EFTS | 0.15 |
| Points | 18 points |
| Teaching period | Semester 1 (On campus) |
| Domestic Tuition Fees ( NZD ) | $981.75 |
| International Tuition Fees | Tuition Fees for international students are elsewhere on this website. |
- Prerequisite
- MATH 203
- Recommended Preparation
- COMO 204
- Schedule C
- Arts and Music, Science
- Eligibility
- 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.
- Contact
For more information, contact MATH and COMO200-300 Level Advisor Jörg Hennig at joerg.hennig@otago.ac.nz
- Teaching staff
- 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. - Textbooks
- 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 paper.
Book: Partial differential equations/Lawrence C. Evans (on reserve in the library). - 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.