AM 251Elementary Differential Equations and Applications
- Offered
- Fall, Winter
- Credit
- 0.5
- Last listed
- 1994–95
No longer offered. It’s in Waterloo’s scanned calendars from 1993–94 to 1994–95 (before that, 1989–90 to 1992–93 used the number for Modelling with Systems of Ordinary Differential Equations); the 1995–96 to 2023–24 calendars are on ucalendar.
Properties of solutions of first- and second-order scalar differential equations; solution techniques. Physical dimensions; scaling; dimensional homogeneity; dimensionless ratios; the Buckingham Pi Theorem. Systems of first-order differential equations in R2; the matrix exponential and linear flow; stability of equilibrium; qualitative analysis; linearization about equilibrium. Applications are drawn from population dynamics and classical mechanics. No student is allowed to take all three of AM 250, 251, and 261 for credit.
As printed in the 1993–94 to 1994–95 calendars, read by OCR; the scanned page is the original. Later calendars (1995–96 on) aren’t on uwloo.
Requirements, as last listed
Prereq: MATH 138
Coreq: MATH 235
Check it elsewhere
- Undergraduate Calendar, 1995–96If it ran past 1994–95, on ucalendar
- Course outlinesSyllabi from past terms (UW login)
- UW FlowStudent ratings and reviews
- WClassesPast sections back to 2004, and who taught them
In the scanned calendars
How it read in each calendar from 1989–90 to 1994–95, 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.
1993–94 to 1994–95 2 calendars
Properties of solutions of first- and second-order scalar differential equations; solution techniques. Physical dimensions; scaling; dimensional homogeneity; dimensionless ratios; the Buckingham Pi Theorem. Systems of first-order differential
equations in R2; the matrix exponential and linear flow; stability of equilibrium; qualitative analysis; linearization about equilibrium. Applications are drawn from population dynamics and classical mechanics.
No student is allowed to take all three of AM 250, 251, and 261 for credit.
Prereq: MATH 138
Coreq: MATH 235
Offered Fall, Winter · 3 class hours a week · 0.5 credit
1989–90 to 1992–93 3 calendars
Another title: Modelling with Systems of Ordinary Differential Equations, probably a different course under the same number (or a misread scan).
Simplification procedures in modelling. Physical dimensions, scaling, and the principle of dimensional homogeneity. Buckingham's Pi Theorem. Systems of ordinary differential equations. Phase plane analysis. Stability. The emphasis is on two-dimensional physical systems based on the mechanics of particles and ecological systems.
Formerly AM 270
Prereq: MATH 138 or 230A, or consent of instructor
Offered Fall, Winter · 3 class hours a week · 0.5 credit