mat2mec mechanics
MECHANICS
MAT2MEC
2017
Credit points: 15
Subject outline
In this subject students deal with the kinematics and dynamics of a particle and systems of particles, and some of the types of differential equations which arise in the mathematical descriptions of the motions studied. The main mechanical topics emphasize the study of particle dynamics and conservation laws, rigid rotating bodies and the two body problem with central forces, based on Newton's second law of motion. The new solutions of differential equations considered are solutions of second order differential equations with non-constant coefficients, with expansions about ordinary points and regular singular points. The subject covers applications of forces, momentum and kinetic and potential energy, for particles and rigid bodies, with a focus on orbits of planets. The subject also covers the solution of wave equations in two and three dimensions. The main tools used are derived from concepts in MAT2VCA.
SchoolSchool Engineering&Mathematical Sciences
Credit points15
Subject Co-ordinatorKatherine Seaton
Available to Study Abroad StudentsYes
Subject year levelYear Level 2 - UG
Exchange StudentsYes
Subject particulars
Subject rules
Prerequisites MAT2VCA
Co-requisitesN/A
Incompatible subjectsN/A
Equivalent subjectsN/A
Special conditionsN/A
Graduate capabilities & intended learning outcomes
01. Build simple mathematical models of mechanical systems, using Newton's second law and the ideas of conservation of momentum, angular momentum and energy.
- Activities:
- Discussed and demonstrated in lectures. Related problems solved by students in practice classes. Assignment questions, with feedback.
- Related graduate capabilities and elements:
- Critical Thinking(Critical Thinking)
- Inquiry/ Research(Inquiry/ Research)
- Creative Problem-solving(Creative Problem-solving)
- Discipline-specific GCs(Discipline-specific GCs)
- Quantitative Literacy/ Numeracy(Quantitative Literacy/ Numeracy)
- Writing(Writing)
02. Solve the linear differential equations that arise in mechanical modelling.
- Activities:
- Discussed and demonstrated in lectures. Related problems solved by students in practice classes. Assignment questions, with feedback.
- Related graduate capabilities and elements:
- Creative Problem-solving(Creative Problem-solving)
- Discipline-specific GCs(Discipline-specific GCs)
- Writing(Writing)
- Quantitative Literacy/ Numeracy(Quantitative Literacy/ Numeracy)
- Critical Thinking(Critical Thinking)
03. Solve simple problems in the theory of planetary orbits.
- Activities:
- Discussed and demonstrated in lectures. Related problems solved by students in practice classes. Assignment questions, with feedback.
- Related graduate capabilities and elements:
- Critical Thinking(Critical Thinking)
- Writing(Writing)
- Creative Problem-solving(Creative Problem-solving)
- Discipline-specific GCs(Discipline-specific GCs)
- Quantitative Literacy/ Numeracy(Quantitative Literacy/ Numeracy)
04. Solve partial differential equations in appropriate coordinates using the technique of separation of variables and the theory of series solutions for differential equations, and apply these solutions to the mechanics of continuous media.
- Activities:
- Discussed and demonstrated in lectures. Related problems solved by students in practice classes. Assignment questions, with feedback.
- Related graduate capabilities and elements:
- Discipline-specific GCs(Discipline-specific GCs)
- Creative Problem-solving(Creative Problem-solving)
- Quantitative Literacy/ Numeracy(Quantitative Literacy/ Numeracy)
- Critical Thinking(Critical Thinking)
- Inquiry/ Research(Inquiry/ Research)
- Writing(Writing)
05. Communicate your understanding of mechanics using both words and precise mathematical symbolism.
- Activities:
- Discussed and demonstrated in lectures. Related problems solved by students in practice classes. Assignment questions, with feedback.
- Related graduate capabilities and elements:
- Writing(Writing)
- Discipline-specific GCs(Discipline-specific GCs)
06. Explain mathematical arguments verbally to other students.
- Activities:
- Opportunities provided in practice classes
Subject options
Select to view your study options…
Melbourne, 2017, Semester 2, Day
Overview
Online enrolmentYes
Maximum enrolment sizeN/A
Enrolment information
Subject Instance Co-ordinatorKatherine Seaton
Class requirements
LectureWeek: 31 - 43
Two 1.0 hours lecture per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.
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 element | Comments | % | ILO* |
|---|---|---|---|
| Active participation in blackboard practice classes | 5 | 05, 06 | |
| fortnightly assignments (equiv 1500 words) | 25 | 05, 04, 03, 02, 01 | |
| one 3-hour examination | 70 | 04, 03, 02, 01, 05 |