Handbook 1996 : Faculty of Science (Volume 4 page 207)
Mathematics subject : Next:618-131 | Prev:618-122 | Search | Help
618-130 "Applied Mathematics" appears differently in several places - choose the one you want:
1. Mathematics, Faculty of Science (v4, p207) : Next:618-131 | Prev:618-122
3. First Year Engineering, Faculty of Engineering (v4, p85) : Next:618-132 | Prev:618-122
Note: Students may not gain credit for both 618-130 and 618-132.
Credit points: 12.5
Coordinator: Dr S L Carnie
Prerequisite: 618-101 (1995 Handbook) or 111 or 121 or 142; or 618-100 (1995 Handbook), with 618-142 as corequisite; or 618-141, with 618-142 as corequisite; or 618-162, with 618-142 as corequisite.
Contact: 39 lectures (three a week), 13 x 1-hour tutorials and 39 hours problem solving
Timetable: Second semester, repeated in first semester of the following year
Objectives:
On completion of this subject, students should:Comprehend:
- the terminology of ordinary differential equations;
- the principles and essential information regarding first and second ordinary differential equations; eigenvalues and eigenvectors; linear systems of first and second order ordinary differential equations and their application primarily in the field of mechanics.
Have developed:
- the ability to solve analytically: first order ordinary differential equations (ODEs) of linear, separable or homogeneous type; second order linear ODEs, including the method of reduction of order, with special emphasis on constant coefficient equations; systems of two or three linear first order ODEs using eigenvalue/eigenvector techniques;
- the ability to apply the above techniques to simple problems in particle dynamics, including projectile motion and orbital motion under central forces.
Appreciate:
- the role of differential equations in applied mathematics and their use in modelling the dynamics of single particles and small systems of particles.
Content:
Differential equations: first-order differential equations (linear via integrating factors, separable and homogeneous) and applications; linear differential equations with constant coefficients, particular integrals and complementary functions. Mechanics: Newton's laws, conservation of energy, projectiles, central forces and orbital motion. Systems of differential equations: systems of linear differential equations with constant coefficients, eigenvalues and eigenvectors; systems of oscillators, an introduction to the phase plane
Assessment:
Up to 26 pages of written assignments and up to three hours of end-of-semester written examination.
1. Mathematics, Faculty of Science (v4, p207) : Next:618-131 | Prev:618-122
3. First Year Engineering, Faculty of Engineering (v4, p85) : Next:618-132 | Prev:618-122
2. Math. & Stats., Faculty of Educ(Parkville) (v5, p145) : Next:618-141 | Prev:618-122
Note: Students may not gain credit for both 618-130 and 618-132.
Credit points: 12.5
Coordinator: Dr S L Carnie.
Prerequisite: 618-101 (1995 Handbook) or 111 or 121 or 142; or 618-100 (1995 Handbook), with 618-142 as corequisite; or 618-141, with 618-142 as corequisite; or 618-162, with 618-142 as corequisite.
Contact: 39 lectures (three each week), 13 1-hour tutorials and 39 hours problem solving
Timetable: Second semester, repeated in first semester of the following year.
Objectives:
On completion of this subject, students should:Comprehend:
- the terminology of ordinary differential equations;
- the principles and essential information regarding first and second ordinary differential equations; eigenvalues and eigenvectors; linear systems of first and second order ordinary differential equations and their application primarily in the field of mechanics.
Have developed:
- the ability to solve analytically: first order ordinary differential equations (ODEs) of linear, separable or homogeneous type; second order linear ODEs, including the method of reduction of order, with special emphasis on constant coefficient equations; systems of two or three linear first order ODEs using eigenvalue/eigenvector techniques;
- the ability to apply the above techniques to simple problems in particle dynamics, including projectile motion and orbital motion under central forces.
Appreciate:
- the role of differential equations in applied mathematics and their use in modelling the dynamics of single particles and small systems of particles.
Content:
Differential equations First- order differential equations (linear via integrating factors, separable and homogeneous) and applications; linear differential equations with constant coefficients, particular integrals and complementary functions. Mechanics Newton's laws, conservation of energy, projectiles, central forces and orbital motion Systems of differential equations Systems of linear differential equations with constant coefficients, eigenvalues and eigenvectors; systems of oscillators, an introduction to the phase plane
Assessment:
Up to 26 pages of written assignments and up to three hours of end-of-semester written examination.
* Note that CONTACT, CONTENT differs from the maintainer's version above. A log of variations is available.
2. Math. & Stats., Faculty of Educ(Parkville) (v5, p145) : Next:618-141 | Prev:618-122
Status: Official 1996 Date created: Oct 9 1995 Last modified: Oct 9 1995 Authorised by: Academic Registrar Email enquiries: Course_Information@registrar.unimelb.edu.au
Maintained by: Dept. of Mathematics, Faculty of Science.
Copyright © University of Melbourne 1995,1996.