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 2020 in Semester 2 at Clayton. It has no prerequisites.
- Credit points
- 6
- Offered in 2020
- Semester 2
- Clayton
- Assessment
- Exam 60%
- and 1 other task
This is the 2020 handbook entry. See the 2024 entry.
Reviews
No reviews yetNo reviews yet. Be the first to review MTH3051.
Requisites
Before MTH3051
No prerequisites or corequisites besides the enrolment rules below.
After MTH3051
No unit lists MTH3051 as a prerequisite in the 2020 handbook.
Enrolment rules
PREREQUISITE: You must have passed one unit from MTH2010, MTH2015, ENG2005 or MAT1830; and one unit from MTH2021, MTH2025, MTH2040 or MAT1841. Alternatively, you must be enrolled in the Master of Financial Mathematics or must be enrolled in Honours of Econometrics and 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 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
Demonstrate an understanding of 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
Demonstrate an understanding of the approximations introduced in algorithms and the effects of those approximations on the quality of calculations.
- 4
Solve theoretical and applied problems of analysing and employing numerical methods.
- 5
Demonstrate an awareness of the reach and importance of numerical methods in science, engineering, finance and technology.
- 6
Demonstrate advanced problem-solving skills, both individually and in collaboration.
- 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
Ascher UM, Greif C. A First Course in Numerical Methods. Society for Industrial and Applied Mathematics; 2011. (Introductory.) link
Hohmann A, Deuflhard P. Numerical analysis in modern scientific computing: an introduction. Springer; 2012. (More advanced.) link
Gander W, Gander MJ, Kwok F. Scientific computing-An introduction using Maple and MATLAB. Springer; 2014. (Introductory.) link
Quarteroni A, Sacco R, Saleri F. Numerical mathematics. Springer; 2010. (More advanced.) link
Where it fits
MTH3051 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
- MATHS05Additional mathematics unitMathematicsNo reviews yet
- MATHS06Additional mathematics unitsMathematicsNo reviews yet
- MATPURE07Pure mathematics elective unitsPure mathematicsNo reviews yet
Contacts
- Chief Examiners
- Dr Janosch Rieger
- Unit Coordinators
- Dr Janosch Rieger
Common questions
What are the prerequisites for MTH3051?
MTH3051 has no prerequisites, but enrolment rules apply.
When is MTH3051 offered?
In 2020, 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 statistics; Mathematics; and Pure mathematics.