NUMERICAL MATHEMATICS

MAT3NM

2015

Credit points: 15

Subject outline

Most of the mathematics studied in the first two years at university involved the application of algebra and calculus to find "exact" solutions to mathematical problems. In practice however, there is a need to deal with situations where the best one can do is to find an approximate solution to a problem. This is the role of numerical mathematics. As well as appreciating the numerical methods for obtaining approximate solutions to problems in their own right, understanding concepts such as accuracy and computational efficiency are important aspects of numerical mathematics. Naturally, much of the calculation is carried out on computer and students in this subject will gain experience using a variety of software programs: Excel spreadsheet, Maple computer algebra system and the statistical software package SPSS. Specific topics studied are: nonlinear equations, interpolation, smoothing and optimization, numerical integration and differential equations.

SchoolSchool Engineering&Mathematical Sciences

Credit points15

Subject Co-ordinatorRobert Champion

Available to Study Abroad StudentsYes

Subject year levelYear Level 3 - UG

Exchange StudentsYes

Subject particulars

Subject rules

Prerequisites MAT2VCA or MAT2CC

Co-requisitesN/A

Incompatible subjectsN/A

Equivalent subjectsN/A

Special conditionsN/A

Readings

Resource TypeTitleResource RequirementAuthor and YearPublisher
ReadingsNumerical MathematicsPrescribedChampion, R & Mills, TAVAILABLE AT THE UNIVERSITY BOOKSHOP

Graduate capabilities & intended learning outcomes

01. Apply appropriate numerical methods using calculator and computer to solve mathematical 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:
Quantitative Literacy/ Numeracy (Quantitative Literacy/ Numeracy)
Creative Problem-solving (Creative Problem-solving)
Discipline-specific GCs (Discipline-specific GCs)

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 (Quantitative Literacy/ Numeracy)
Discipline-specific GCs (Discipline-specific GCs)
Creative Problem-solving (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:
Discipline-specific GCs (Discipline-specific GCs)
Writing (Writing)

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

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

Subject options

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Start date between: and    Key dates

Bendigo, 2015, Semester 1, Day

Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Enrolment information

Subject Instance Co-ordinatorRobert Champion

Class requirements

Lecture Week: 10 - 22
Two 1.0 hours lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Computer Laboratory Week: 10 - 21
Two 1.0 hours computer laboratory per week on weekdays during the day from week 10 to week 21 and delivered via face-to-face.
"On specific dates during the semester some tutorials will be run instead of a computer lab."

Assessments

Assessment elementComments% ILO*
Assignment 1 (approx 350 words)10 01, 02, 03, 04
Assignment 2 (approx 350 words)10 01, 02, 03, 04
Assignment 3 (approx 350 words)10 01, 02, 03, 04
Assignment 4 (approx 350 words)10 01, 02, 03, 04
one 3-hour examination60 01, 02, 03, 04