MTH3051 Introduction to computational mathematics
Faculty of Science
MTH3051 Introduction to computational mathematics is a level 3, 6-credit-point, undergraduate unit from the Faculty of Science, offered in 2023 in Semester 2 at Clayton. It has no prerequisites and unlocks 2 units, leading on to 6 units in all.
- Credit points
- 6
- Offered in 2023
- Semester 2
- Clayton
- Assessment
- Exam 60%
- and 1 other task
This is the 2023 handbook entry. See the 2024 entry.
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Requisites
Before MTH3051
No prerequisites or corequisites besides the enrolment rules below.
After MTH3051
2 units list MTH3051 as a prerequisite or corequisite.
Enrolment rules
PREREQUISITE: You must have passed one unit from MTH2010, MTH2015, MTH2019 ENG2005 or MAT1830; and one unit from MTH2029, MTH2021, MTH2025, MTH2040 or MAT1841 one unit from SCI1022 (this can be taken concurrently) FIT1045, FIT1053, ENG1060 or ENG2005.
Alternatively, you must be enrolled in the Master of Financial Mathematics or must have passed ETC2440.
PROHIBITION: MTH2051
Equivalent units
The same content under another code. Only one of them counts.
Overview
When mathematics is used in real-world applications, it almost always involves the use of computers. This unit provides an introduction to numerical methods for solving maths-related problems on computers. Topics covered include error analysis; methods for solving linear systems, methods for finding roots of nonlinear equations; polynomial interpolation; numerical differentiation and integration; and numerical methods for ordinary differential equations. You will receive a solid introduction to the theory of the numerical methods (with derivations of the methods, error estimates and convergence proofs) and will learn to implement the computational methods in Matlab. The methods and techniques learned have broad applicability in areas that include the natural sciences, engineering, the biomedical sciences, finance, business, machine learning, and data science.
Offerings in 2023
| Teaching period | Campus | Mode |
|---|---|---|
| Second semester | Clayton | On campus |
Assessment
- Continuous assessmentOther40%
- Examination (2 hours and 10 minutes)ExamThreshold hurdle60%
Learning outcomes
When you finish this unit, you should be able to:
- 1
Demonstrate an understanding of the uses of common numerical methods, as well as their advantages and disadvantages;
- 2
Determine the performance of a numerical algorithm when applied to a concrete mathematical problem from the properties of problem and the properties of the algorithm, using theoretical results;
- 3
Apply mathematical principles and theorems to quantify the error of approximations used in numerical methods;
- 4
Work actively with mathematical concepts such as vector norms, matrix norms, the Lipschitz property and the one-sided Lipschitz property in a mathematically rigorous way;
- 5
Implement numerical methods for a variety of problems in Matlab, and test the accuracy and efficiency of an implementation;
- 6
Demonstrate advanced skills in the written presentation of theoretical and applied numerical mathematics problems.
Workload and teaching
- Applied sessions22 hours
- Seminars36 hours
- Three 1-hour seminars;
- One 2-hour applied class (in weeks 2-12) and
- 7 hours of independent study per week.
Where it fits
MTH3051 is part of 8 areas of study in the 2023 handbook.
- APPLMTH05Computational mathematicsApplied mathematicsNo reviews yet
- APPLMTH07Computational mathematicsApplied mathematicsNo reviews yet
- FININMAT04Financial and insurance mathematics elective unitFinancial and insurance mathematicsNo reviews yet
- MTHFNDEC01Elective unitsMathematical foundations of econometricsNo reviews yet
- MTHSTAT07Mathematical statistics elective unitsMathematical statisticsNo reviews yet
- MATHS09Mathematics elective unitsMathematicsNo reviews yet
- MATHS11Mathematics elective unitsMathematicsNo reviews yet
- MATPURE11Pure mathematics elective unitsPure mathematicsNo reviews yet
Contacts
- Unit Coordinators
- Dr Janosch Rieger
- Chief Examiners
- Dr Janosch Rieger
Common questions
What are the prerequisites for MTH3051?
MTH3051 has no prerequisites, but enrolment rules apply.
What can I take after MTH3051?
MTH3051 is a prerequisite or corequisite for 2 units, including MTH3320 and MTH3330. Those lead on to 6 units in all.
When is MTH3051 offered?
In 2023, MTH3051 runs in Semester 2 at Clayton.
Does MTH3051 have an exam?
Yes. The exam is worth 60% of the final mark, alongside 1 other task.
Which majors and minors include MTH3051?
MTH3051 is part of Applied mathematics; Financial and insurance mathematics; Mathematical foundations of econometrics; Mathematical statistics; and Mathematics, and 1 other area of study.