MA2051 - Ordinary Differential Equations
Outcomes - C 2000

In order to pass the class, you will demonstrate that you have achieved the following outcomes. You will develop the ability to

1.

formulate differential equation models from conservation laws;

2.

solve simple (separable) differential equations via integration;

3.

solve second-order, constant-coefficient differential equations using the methods of characteristic equations and undetermined coefficients;

4.

set-up second-order differential equation models for oscillating systems;

5.

compute pyhsical quantities such as amplitude, period, natural frequency, resonant frequency, and amplitude at resonance for forced spring-mass systems;

6.

use basic numerical methods to approximate solutions to differential equations;

7.

identify steady-state solutions and determine the stability of these solutions;

8.

sketch solution curves using only the differential equation (no solution formula, no computer);

9.

effectively communicate mathematical results for differential equations models.