uwloo

AM 270Modelling with Systems of Ordinary Differential Equations and Dimensional Analysis

Offered
Fall, Winter
Credit
0.5
Last listed
1988–89

No longer offered. It’s in Waterloo’s scanned calendars from 1986–87 to 1988–89 (before that, 1976–77 to 1985–86 used the number for Mathematical Modelling); the 1995–96 to 2023–24 calendars are on ucalendar.

Simplification procedures in modelling. Physical dimensions and the principle of dimensional homogeneity. Buckingham’'s Pi Theorem. Scaling and introduction to perturbation theory. Systems of ordinary differential equations. Phase plane analysis. Stability. Emphasis on two and three dimensional physical systems.

As printed in the 1987–88 to 1988–89 calendars, read by OCR; the scanned page is the original.

Requirements, as last listed

Prereq: MATH 230A, or consent of instructor.

Check it elsewhere

    In the scanned calendars

    How it read in each calendar from 1976–77 to 1988–89, newest first. The text is OCR of the scanned pages; years whose wording matches are shown once, from the clearest scan. Each year links to its page on uwloo and to that page of the scanned PDF.

    1987–88 to 1988–89 2 calendars

    Simplification procedures in modelling. Physical dimensions and the principle of dimensional homogeneity. Buckingham’'s Pi Theorem. Scaling and introduction to perturbation theory. Systems of ordinary differential equations. Phase plane analysis. Stability. Emphasis on two and three dimensional physical systems.

    Prereq: MATH 230A, or consent of instructor.

    Offered Fall, Winter · 3 class hours a week · 0.5 credit

    1986–87 1 calendar

    Titled Modelling with Systeme of Differential Equations.

    Discussian of linear and non-linear systems of ordinary differential equations, including matrix methods, phaseplane analysis, stability; emphasis is on two-dimensional systems. Applications are drawn from mechanical systems in vibration, ecological systems, epidemics and planetary motion. Elements of dimensional analysis, scaling, and perturbation theory are introduced briefly. Prereq: AM 260, or MATH 2308, or consent of instructor Antiraq: AM 280

    16.04 Course Descriptions Mathematics: Applied Mathematics

    1985–86 1 calendar

    Another title: Mathematical Modelling, probably a different course under the same number (or a misread scan).

    Further rnathematical models from various disciplines. An introduction to Newtonian mechanics will also be included in the course.

    Credit will be granted for only 1 of AM 270, 280

    Prereq: AM 260, or MATH 2308, or consent of instructor

    Offered Fall, Winter · 3 class hours a week · 0.5 credit

    1976–77 to 1984–85 9 calendars

    Another title: Mathematical Modelling, probably a different course under the same number (or a misread scan).

    Further mathematical models from various disciplines. An introduction to Newtonian mechanics will also be included in the course.

    Prereq: AM 260 or consent of instructor.

    Offered Fall, Winter · 2 class hours a week · 0.5 credit