Computational Differential Equations
Subject MAST90026 (2010)
Note: This is an archived Handbook entry from 2010.
| Credit Points: | 12.50 | ||||||||||||
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| Level: | 9 (Graduate/Postgraduate) | ||||||||||||
| Dates & Locations: | This subject has the following teaching availabilities in 2010: Semester 1, Parkville - Taught on campus.
On-campus Timetable can be viewed here. For information about these dates, click here. | ||||||||||||
| Time Commitment: | Contact Hours: 36 hours comprising 1 one-hour computer lab and 1 two-hour computer lab per week. Total Time Commitment: 3 contact hours and 7 private study hours per week. | ||||||||||||
| Prerequisites: | Students should be able to progam in one of: C, Matlab, Mathematica, Perl, Fortran, Python etc | ||||||||||||
| Corequisites: | None | ||||||||||||
| Recommended Background Knowledge: | It is recommended that students have completed a third year subject in partial differential equations (equivalent to 620-331 [2008] Applied Partial Differential Equations). | ||||||||||||
| Non Allowed Subjects: | None | ||||||||||||
| Core Participation Requirements: |
For the purposes of considering requests for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Students Experiencing Academic Disadvantage Policy, academic requirements for this subject are articulated in the Subject Description, Subject Objectives, Generic Skills and Assessment Requirements for this entry. The University is dedicated to provide support to those with special requirements. Further details on the disability support scheme can be found at the Disability Liaison Unit website: http://www.services.unimelb.edu.au/disability/ |
| Subject Overview: |
Understanding the behaviour of the mathematical problem and the numerical algorithm gives insight into the pitfalls for the unwary in using canned packages inappropriately or uncritically. Topics will include boundary value problems for ordinary differential equations and the solution of parabolic, hyperbolic and elliptic partial differential equations. |
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| Objectives: |
After completing this subject, students should: - appreciate how and why numerical methods are developed to solve differential equations commonly arising in finance, science and engineering; - understand the chief factors to be considered in choosing an appropriate algorithm for a given class of problem; - acquire high level numerical tools and knowledge that can be used to solve a range of problems in science and engineering; - gain the ability to pursue further studies in this and related areas.
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| Assessment: | Up to 80 pages of written assignments (80%: four assignments worth 20% each due early, mid, late, and at the end of semester), and a 15 minute oral presentation on a project (20%) due towards the end of semester. |
| Prescribed Texts: | TBA |
| Recommended Texts: |
R.J.Leveque, "Finite difference methods for ordinary and partial differential equations. Steady-state and time-dependent problem", SIAM, 2007. |
| Breadth Options: | This subject is not available as a breadth subject. |
| Fees Information: | Subject EFTSL, Level, Discipline & Census Date |
| Generic Skills: | Upon completion of this subject, students should gain the following generic skills: - Problem-solving skills including the ability to engage with unfamiliar problems and identify relevant solution strategies - Analytical skills through the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis - Through interactions with other students, the ability to work in a team - Time management skills, the ability to meet regular deadlines while balancing competing commitments |
| Related Course(s): |
Master of Science (Mathematics and Statistics) |
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