COMPUTATION AND SIMULATION

MST3CS

Not currently offered

Credit points: 15

Subject outline

In mathematics, one uses algebra and calculus to find 'exact' solutions to mathematical problems. In statistics, engineering, physics, and applied mathematics, when dealing with 'the real world', one encounters situations where the best one can do is to find an approximate solution to a problem. This is where computation and simulation plays a vital role. As well as appreciating the numerical methods for obtaining approximate solutions in their own right, understanding concepts such as accuracy and computational efficiency are important. Naturally, computing and simulation are carried out using software programs such as Excel spreadsheets and the technical computing languages MATLAB, Maple or R; in this subject students will gain experience using these. The specific topics studied are: nonlinear equations, interpolation, smoothing and optimization, numerical integration, pseudorandom numbers and simulation.

SchoolSchool of Humanities & Social Sciences

Credit points15

Subject Co-ordinatorJohn Banks

Available to Study Abroad StudentsYes

Subject year levelYear Level 3 - UG

Exchange StudentsYes

Subject particulars

Subject rules

Prerequisites MAT1CDE or MST2PM

Co-requisitesN/A

Incompatible subjects MAT3SC

Equivalent subjectsN/A

Special conditionsN/A

Graduate capabilities & intended learning outcomes

01. Apply appropriate computational methods using calculator and computer to solve mathematical and statistical problems that do not have analytic solutions

Activities:
Algorithms are introduced in lectures, and then implemented and explored in computer lab classes, self study exercises and assignment work.
Related graduate capabilities and elements:
Discipline-specific GCs
Creative Problem-solving
Quantitative Literacy/ Numeracy

02. Determine accuracy characteristics of numerical algorithms

Activities:
Students discover characteristics in guided computer lab exercises and consolidate understanding in self study exercises and assignment work.
Related graduate capabilities and elements:
Quantitative Literacy/ Numeracy
Discipline-specific GCs
Creative Problem-solving

03. Use appropriate mathematical language to write solutions to problems

Activities:
Illustrated in lectures and computer lab classes, consolidated in self study exercises and assignment work.
Related graduate capabilities and elements:
Writing
Discipline-specific GCs

04. Interpret and write explanations of the solutions to computational problems in appropriate language and write explanations of associated mathematical and statistical concepts.

Activities:
Illustrated in lectures and computer lab classes, consolidated in self study exercises and assignment work.
Related graduate capabilities and elements:
Discipline-specific GCs
Writing

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