MTH3011 Partial differential equations
Faculty of Science
MTH3011 Partial differential equations is a level 3, 6-credit-point, undergraduate unit from the Faculty of Science, offered in 2023 in Semester 1 at Clayton. It has no prerequisites.
- Credit points
- 6
- Offered in 2023
- Semester 1
- Clayton
- Assessment
- Exam 60%
- and 1 other task
This is the 2023 handbook entry. See the 2027 entry.
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Requisites
Before MTH3011
No prerequisites or corequisites besides the enrolment rules below.
After MTH3011
No unit lists MTH3011 as a prerequisite in the 2023 handbook.
Overview
This unit covers exact and numerical solutions for partial differential equations of various types.
Explicit solution methods include methods of characteristics, separation of variables, Fourier series and transform, fundamental solutions, etc. Some of these methods will be explored for linear, and possibly some non-linear, equations of elliptic, parabolic or hyperbolic types.
Numerical analysis techniques (of finite difference, finite volume or finite element types) will be covered for some of these models, with an emphasis on establishing the robustness and accuracy (consistency) of the methods, for both stationary and time-dependent models.
Offerings in 2023
| Teaching period | Campus | Mode |
|---|---|---|
| First semester | Clayton | On campus |
Assessment
- Continuous assessmentOther40%
- Examination (3 hours and 10 minutes)ExamThreshold hurdle60%
Learning outcomes
When you finish this unit, you should be able to:
- 1
Solve a range of nonlinear partial differential equations using a variety of technique;
- 2
Appreciate the properties of multi-dimensional partial differential equations, including suitable initial and/or boundary conditions;
- 3
Demonstrate an understanding of the mathematical properties of inhomogeneous partial differential equations and solve them exactly under some simple conditions using in particular Duhamel’s principle;
- 4
Demonstrate an understanding of the principles of numerical analysis for ordinary and partial differential equations, including the stability and consistency analysis of the schemes;
- 5
Choose specific output formats for and interpret the results of numerical schemes for various models.
Workload and teaching
- Lectures36 hours
- Applied sessions22 hours
- Three 1-hour lectures;
- One 2-hour applied class (in weeks 2-12) and
- 7 hours of independent study per week.
Learning resources
Required resources
A First Course in the Numerical Analysis of Differential Equations by A. Iserlies, Cambridge, 1996.
Applied Partial Differential Equations by R. Haberman, Pearson, 2004.
Partial Differential Equations with Numerical Methods by S. Larsson & V. Thomas, Springer, 2005.
Tips on writing in mathematics http://www.stolaf.edu/people/zorn/prooftips.pdf <http://www.stolaf.edu/people/zorn/prooftips.pdf>
Writing mathematics well http://www.math.hmc.edu/~su/math-writing.pdf <http://www.math.hmc.edu/~su/math-writing.pdf>
Where it fits
MTH3011 is part of 6 areas of study in the 2023 handbook.
- APPLMTH05Applied mathematics elective unitsApplied mathematicsNo reviews yet
- APPLMTH07Applied mathematics elective unitsApplied mathematicsNo reviews yet
- FININMAT04Financial and insurance mathematics elective unitFinancial and insurance mathematicsNo reviews yet
- MATHS09Mathematics elective unitsMathematicsNo reviews yet
- MATHS11Mathematics elective unitsMathematicsNo reviews yet
- MATPURE11Pure mathematics elective unitsPure mathematicsNo reviews yet
Contacts
- Unit Coordinators
- Dr Kengo Deguchi
- Chief Examiners
- Dr Kengo Deguchi
Common questions
What are the prerequisites for MTH3011?
MTH3011 has no prerequisites, but enrolment rules apply.
When is MTH3011 offered?
In 2023, MTH3011 runs in Semester 1 at Clayton.
Does MTH3011 have an exam?
Yes. The exam is worth 60% of the final mark, alongside 1 other task.
Which majors and minors include MTH3011?
MTH3011 is part of Applied mathematics; Financial and insurance mathematics; Mathematics; and Pure mathematics.