LINEAR PROGRAMMING AND PROBABILITY

STM3LPP

2020

Credit points: 15

Subject outline

Linear Programming and Probability is a subject with many important real word applications. It is suitable for students taking majors in mathematics, statistics, physics or engineering. Linear Programming involves maximising and minimising a linear function subject to a finite number of linear constraints. This subject also gives an introduction to Game Theory, which deals with decision making in a competitive environment; game theory uses ideas from probability theory combined with the tools of linear programming. The subject also details how linear programming can also used to perform special probability computations, such a regression, and selection of probability distributions.

School: Engineering and Mathematical Sciences (Pre 2022)

Credit points: 15

Subject Co-ordinator: Rebecca Chisholm

Available to Study Abroad/Exchange Students: Yes

Subject year level: Year Level 3 - UG

Available as Elective: No

Learning Activities: N/A

Capstone subject: No

Subject particulars

Subject rules

Prerequisites: STM2PM OR MAT2LAL

Co-requisites: N/A

Incompatible subjects: MAT3LPG

Equivalent subjects: N/A

Quota Management Strategy: N/A

Quota-conditions or rules: N/A

Special conditions: N/A

Minimum credit point requirement: N/A

Assumed knowledge: N/A

Career Ready

Career-focused: No

Work-based learning: No

Self sourced or Uni sourced: N/A

Entire subject or partial subject: N/A

Total hours/days required: N/A

Location of WBL activity (region): N/A

WBL addtional requirements: N/A

Graduate capabilities & intended learning outcomes

Graduate Capabilities

Intended Learning Outcomes

01. Solve linear programming problems graphically.
02. Employ the simplex method moving freely between a problem and its dual.
03. Undertake sensitivity analysis on linear programming problems.
04. Calculate regressions using the norm, geometrically and via linear programming.
05. Solve simultaneous two-player zero sum games using linear programming.

Bendigo, 2020, Semester 2, Blended

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Subject Instance Co-ordinator: Michael Payne

Class requirements

Directed ReadingWeek: 31 - 43
One 8.00 hours directed reading per week on any day including weekend during the day from week 31 to week 43 and delivered via online.
The subject will be blended, with a fully comprehensive LMS site, with required weekly materials, "key concept videos", recordings of worked examples, and supplementary support materials available. This material, together with participation in the on-line forum, should constitute 8 hrs per week.

PracticalWeek: 31 - 43
Two 1.00 hour practical per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.
The online materials will be integrated with 2 weekly 1 hour face-face classes, focused around weekly Practice Sheets.

Assessments

Assessment elementCommentsCategoryContributionHurdle%ILO*

Five 300-word written assignments (1500 words total)

N/AN/AN/ANo30SILO1, SILO2, SILO3, SILO4, SILO5

One 3-hour written Examination (3000 words equivalent)

N/AN/AN/ANo70SILO1, SILO2, SILO3, SILO4, SILO5

Melbourne (Bundoora), 2020, Semester 2, Blended

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Subject Instance Co-ordinator: Rebecca Chisholm

Class requirements

Directed ReadingWeek: 31 - 43
One 8.00 hours directed reading per week on any day including weekend during the day from week 31 to week 43 and delivered via online.
The subject will be blended, with a fully comprehensive LMS site, with required weekly materials, "key concept videos", recordings of worked examples, and supplementary support materials available. This material, together with participation in the on-line forum, should constitute 8 hrs per week.

PracticalWeek: 31 - 43
Two 1.00 hour practical per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.
The online materials will be integrated with 2 weekly 1 hour face-face classes, focused around weekly Practice Sheets.

Assessments

Assessment elementCommentsCategoryContributionHurdle%ILO*

Five 300-word written assignments (1500 words total)

N/AN/AN/ANo30SILO1, SILO2, SILO3, SILO4, SILO5

One 3-hour written Examination (3000 words equivalent)

N/AN/AN/ANo70SILO1, SILO2, SILO3, SILO4, SILO5