MTH2051 Introduction to computational mathematics
Faculty of Science
MTH2051 Introduction to computational mathematics is a level 2, 6-credit-point, undergraduate unit from the Faculty of Science, offered in 2020 in Semester 2 at Clayton. It needs (ENG2005, MAT1830, MTH2010 or MTH2015) and (MTH2040, MAT1841, MTH2021 or MTH2025).
- Credit points
- 6
- Offered in 2020
- Semester 2
- Clayton
- Assessment
- Exam 60%
- and 1 other task
This is the 2020 handbook entry. See the 2027 entry.
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Requisites
Before MTH2051
Prohibitions
You can't enrol if you have passed any of these.
Prerequisites
Pass these before you enrol.
After MTH2051
No unit lists MTH2051 as a prerequisite in the 2020 handbook.
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 an introduction to Matlab programming; 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 and some proofs), and will learn to implement the computational methods efficiently 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 2020
| Teaching period | Campus | Mode |
|---|---|---|
| Second semester | Clayton | On campus |
Assessment
- In-semester assessmentThreshold hurdle40%
- Examination (3 hours and 10 minutes)Threshold hurdle60%
Learning outcomes
When you finish this unit, you should be able to:
- 1
Apply the mathematical theory behind important numerical methods for solving real-life problems on computers.
- 2
Implement numerical methods for a variety of problems in Matlab, and test the accuracy and efficiency of implementation.
- 3
Apply the approximations introduced in algorithms and be aware of the effects of those approximations on the quality of calculations.
- 4
Solve theoretical and applied problems by analysing and employing numerical methods.
- 5
Be aware of the reach and importance of numerical methods in science, engineering, finance and technology.
- 6
Demonstrate advanced problem solving skills, both individually and collectively with staff and fellow students.
- 7
Demonstrate advanced skills in the written and oral presentation of theoretical and applied numerical mathematics problems.
Workload and teaching
- Applied sessions24 hours
- Lectures36 hours
- Teaching approachActive learning
Three 1-hour lectures and an average of two hours of applied classes per week
Active learning will occur in lectures and applied classes.
Learning resources
Required resources
Hohmann A, Deuflhard P. Numerical analysis in modern scientific computing: an introduction. Springer; 2012. (More advanced.) link
Quarteroni A, Sacco R, Saleri F. Numerical mathematics. Springer; 2010. (More advanced.) link
Gander W, Gander MJ, Kwok F. Scientific computing-An introduction using Maple and MATLAB. Springer; 2014. (Introductory.) link
Ascher UM, Greif C. A First Course in Numerical Methods. Society for Industrial and Applied Mathematics; 2011. (Introductory.) link
Where it fits
MTH2051 is part of 7 areas of study in the 2020 handbook.
- APPLMTH05Computational mathematicsApplied mathematicsNo reviews yet
- APPLMTH07Computational mathematicsApplied mathematicsNo reviews yet
- FININMAT03Financial and insurance mathematics elective unitsFinancial and insurance mathematicsNo reviews yet
- MTHSTAT07Mathematical statistics elective unitsMathematical statisticsNo reviews yet
- MATHS05Mathematics elective unitsMathematicsNo reviews yet
- MATHS06Mathematics elective unitsMathematicsNo reviews yet
- MATHS07Mathematics elective unitsMathematicsNo reviews yet
Contacts
- Unit Coordinators
- Dr Janosch Rieger
- Chief Examiners
- Dr Janosch Rieger
Common questions
What are the prerequisites for MTH2051?
You need (ENG2005, MAT1830, MTH2010 or MTH2015) and (MTH2040, MAT1841, MTH2021 or MTH2025) before you enrol.
When is MTH2051 offered?
In 2020, MTH2051 runs in Semester 2 at Clayton.
Does MTH2051 have an exam?
Yes. The exam is worth 60% of the final mark, alongside 1 other task.
Which majors and minors include MTH2051?
MTH2051 is part of Applied mathematics; Financial and insurance mathematics; Mathematical statistics; and Mathematics.