MATHEMATICAL APPLICATIONS IN BIOLOGY

MAT1MAB

2019

Credit points: 15

This subject addresses La Trobe's Sustainability Thinking Essential. Sustainability Thinking entails deep appreciation of how the choices we make affects the natural, economic, social, political and cultural systems — now and in the future.

Subject outline

Students will be introduced to how mathematical models are used in biological, biophysical sciences and we will emphasise insight into how models may be derived from biophysical assumptions. A small but representative range of biophysical applications is investigated. The strengths and limitations of models to make predictions about ecological sustainability are explored. The subject is organised in modules, each focusing on a specific application. The subject is delivered mainly on-line. Learning resources including all lecture materials will be available on-line. Students meet for two 1-hour problem solving classes per week to work through problem sets designed to strengthen basic mathematical skills. Considerable use will be made of spreadsheets as a tool for understanding mathematical models and performing calculations.

School: School Engineering&Mathematical Sciences

Credit points: 15

Subject Co-ordinator: Yuri Nikolayevsky

Available to Study Abroad Students: Yes

Subject year level: Year Level 1 - UG

Exchange Students: Yes

Subject particulars

Subject rules

Prerequisites: N/A

Co-requisites: N/A

Incompatible subjects: N/A

Equivalent subjects: N/A

Special conditions: N/A

Learning resources

Readings

Resource TypeTitleResource RequirementAuthor and YearPublisher
ReadingsLecture materials available on-linePrescribedDepartment of Mathematics and StatisticsDEPARTMENT OF MATHEMATICS AND STATISTICS 2009

Graduate capabilities & intended learning outcomes

01. Explain how mathematical models are derived from biophysical assumptions and what conclusions can be drawn from the models.

Activities:
Students required to adapt well known models to particular circumstances in written assignment questions.
Related graduate capabilities and elements:
Literacies and Communication Skills(Quantitative Literacy)

02. Apply algebraic techniques to transform equations used to specify mathematical models.

Activities:
Specifically assessed in written assignment and examination questions.
Related graduate capabilities and elements:
Literacies and Communication Skills(Quantitative Literacy)

03. Use spreadsheets to investigate the behaviour of mathematical models.

Activities:
Specifically assessed in spreadsheet assignments.
Related graduate capabilities and elements:
Literacies and Communication Skills(Quantitative Literacy)

04. Apply simulation techniques to investigate the behaviour of mathematical models.

Activities:
Specifically assessed in written assignments and spreadsheet assignments.
Related graduate capabilities and elements:
Literacies and Communication Skills(Quantitative Literacy)

05. Express mathematical arguments in a clear and concise way.

Activities:
Specifically assessed in written assignments.
Related graduate capabilities and elements:
Literacies and Communication Skills(Quantitative Literacy)

Melbourne, 2019, Semester 2, Blended

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Enrolment information:

Subject Instance Co-ordinator: Yuri Nikolayevsky

Class requirements

PracticalWeek: 31 - 43
Two 1.0 hours practical per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.

Assessments

Assessment elementComments%ILO*
One 1.5 hour written examination4001, 02, 04, 05
on-line quizzes (equivalent to 400-words in total)1001
problem class quizzes (equivalent to 400-words in total)1002
spreadsheet assignments (equivalent to 800-words in total)2003, 04
written assignments (equivalent to 800-words in total)2001, 02, 04, 05

Singapore (PSB), 2019, Term L2, Night

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Enrolment information:

Subject Instance Co-ordinator: Yeliz Boglev

Class requirements

PracticalWeek: 11 - 15
Twenty four 1.0 hours practical per study period on weekdays at night from week 11 to week 15 and delivered via blended.

Assessments

Assessment elementComments%ILO*
One 1.5 hour written examination4001, 02, 04, 05
on-line quizzes (equivalent to 400-words in total)1001
problem class quizzes (equivalent to 400-words in total)1002
spreadsheet assignments (equivalent to 800-words in total)2003, 04
written assignments (equivalent to 800-words in total)2001, 02, 04, 05

Singapore (PSB), 2019, Term L6, Day

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Enrolment information:

Subject Instance Co-ordinator: Yeliz Boglev

Class requirements

PracticalWeek: 44 - 48
Twenty four 1.0 hours practical per study period on weekdays during the day from week 44 to week 48 and delivered via blended.

Assessments

Assessment elementComments%ILO*
One 1.5 hour written examination4001, 02, 04, 05
on-line quizzes (equivalent to 400-words in total)1001
problem class quizzes (equivalent to 400-words in total)1002
spreadsheet assignments (equivalent to 800-words in total)2003, 04
written assignments (equivalent to 800-words in total)2001, 02, 04, 05

Singapore (PSB), 2019, Term L2, Day

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Enrolment information:

Subject Instance Co-ordinator: Yeliz Boglev

Class requirements

PracticalWeek: 11 - 15
Twenty four 1.0 hours practical per study period on weekdays during the day from week 11 to week 15 and delivered via blended.

Assessments

Assessment elementComments%ILO*
One 1.5 hour written examination4001, 02, 04, 05
on-line quizzes (equivalent to 400-words in total)1001
problem class quizzes (equivalent to 400-words in total)1002
spreadsheet assignments (equivalent to 800-words in total)2003, 04
written assignments (equivalent to 800-words in total)2001, 02, 04, 05