AMPS | THARC | KE8QZC | SFW | TSW | WW

Syllabus
Slope field calculator

WeBWork Homework
For Exam 1 (final revisions due 14 September at 11:59PM)
HW1: Equations and solutions
HW2: Existence and uniqueness and slope fields
HW3: Solving first order equations

For Exam 2
HW4:
HW5:
HW6:
HW7:
HW8:

For Exam 3
HW9:
HW10:
HW11:
HW12:

For Final Exam
HW13:
HW14:
HW15:

Quizzes
Quiz 1 (due 20 Aug at 11:59PM) [soln]: do Example 1.1.9 parts b, c, d
Quiz 2 (due 27 Aug at 11:59PM) [soln]: Find the interval and existence and uniqueness for solutions to the problem $\left\{ \begin{array}{ll} (2x+1)y'+xy=\sin(x) \\ y(3)=-2 \end{array}\right.$
Quiz 3 (due 29 Aug) [soln]: Do the same analysis as we did in class to Example 1.2.13 to the differential equation $\dfrac{\mathrm{d}y}{\mathrm{d}x} = \sqrt{17-x^2-y^2}$. That is, find the region $R$ where the solution is guaranteed to exist and be unique.
Quiz 4 (due 2 Sep3 Sep): Consider the differential equation $\left\{ \begin{array}{ll} y'(t)=y(t)-\sin(t)\\ y(0)=0.5 \end{array}\right.$. It turns out that the solution to this differential equation is $y(t)=\dfrac{\sin(t)+\cos(t)}{2}$. Create a spreadsheet (as was done in class) to implement the Euler method for this differential equation for $t$ in $[0,4]$. Plot both the Euler method approximation with $h=0.1$ and the exact solution in the same plot. Your submission should include BOTH your spreadsheet AND the plot as an image.
You can find the spreadsheet I made impleneting Euler's method in the Friday 30 August class here

Exams
Exam 1
Exam 2
Exam 3