News
- Exam 3 will be on Thursday, Nov. 10. It will cover
inhomogeneous linear 2nd order ODEs:
- Variation of parameters
- Method of undetermined coefficients
- Vibrations (3.8, 3.9)
- solving IVP with Laplace transform (only
eat terms)
- Early Warning Grades are based on Exam 1 (80%) and
Homework 1 (20%), cutoffs for A, B, C, D are 90%, 80%, 70%, 60%.
- Exam 2 will be on Thursday, Oct. 20.
It will cover numerical methods (2.7, 8.1, 8.2, 8.3, 8.6, M7.1,
M7.2, M7.3, M7.4, M10.1), and homogeneous linear 2nd
order equations (3.1-3.5).
You have to know how to use ode45
in
Matlab (also for systems and 2nd order equations):
Example: y''+y'+2y=t, y(1)=2, y'(1)=3, plot y(t) for t in
[1,5], print out approximation for y(5):
f = inline('[y(2) ; t-y(2)-2*y(1)]', 't', 'y');
[ts,ys] = ode45(f, [1,5], [2;3]);
plot(ts,ys(:,1));
ys(end,1)
- What I covered in class so far (11/3): 1.1, 1.2, 1.3,
2.1, 2.2, 2.4, M5.2, 2.5, M6.3, 2.3, M5.3, 2.6, 2.7, 8.1, 8.2, 8.3, 8.6,
M7.1, M7.2, M7.3, M7.4, M10.1, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8,
3.9, 6.1, 6.2 (numbers are sections in Boyce & DiPrima, numbers with M
are sections in "Differential Equations with Matlab")