These folowing dates are tentative. The actual date of each midterm exam will be announced at least 1 week in advance.
Groundrules: No calculators, no notes, no phones on your person, no watches (smart or otherwise), no earbuds. “No nothing.”
Exam 1, on WeBWorK sets 1-8, was on Tuesday, February 17 (Week 6).
The topic is first order ODEs.
Here is a Sample Midterm 1, and here are scanned solutions.
Here are some mostly conceptual review questions:
What is the difference between a general solution and a particular solution?
What is an Initial Value Problem (IVP).
What is the difference between an explicit solution and an implicit solution?
Give an example of a 1st order ODE that is linear and autonomous.
Then write down the general solution of that ODE.
Find the interval of existence for the solution to the IVP \(\frac{dy}{dt} = y^{1+c}, y(0) = y_0\),
where \(c\) and \(y_0\) are positive constants.
The scaling of Midterm 1 is that \(n\) points out of 42 gets scaled to \(100+1.5(n-42) = 1.5n + 37\) class points out of 100. The median scaled score score is 74.5 and the average is 75.2.
The class points are listed as "MT1, scaled" in CANVAS.
Here are the scanned solutions for the red version,
and the blue version.
Exam 2, on WeBWorK sets 9-13, was on Tuesday, March 31 (Week 11).
The topic is Linear ODEs of order 2 or greater.
The emphasis is on Linear Homogeneous ODEs with Constant Coefficients (LHODECCs) and Linear Nonhomogeneous ODEs with Constant Coefficients with Constant Coefficients (LNODECCs).
Here is a Sample Midterm 2, and here are
scanned solutions. Note: The scanned solutions use "k" instead of "r" for the characteristic equation.
Here are the scanned solutions for the red version,
and the blue version.
The scaling is
MT2 raw (out of 42 possible) gets scaled to MT2, scaled = 1.5*(MT2 raw - 42) = 1.5*MT3 raw + 37 out of 100.
The median score is 82% and the average score is 81.2%.
Here is a histogram.
Exam 3, on WeBWorK sets 14-17, was on Thursday, April 23 (Week 14)
The topics are series solutions and systems of 1st order ODEs.
Here is a Sample Midterm 3, and here are
scanned solutions.
Here are the scanned solutions for the red version,
and the blue version.
The Final Exam will be
Tuesday, May 5, 7:30-9:30, for the 9:35 class.
Tuesday, May 5, 12:30-2:30, for the 12:45 class.
Here is a Sample Final Exam.
Here are the Sample Final Solutions.
Here is the formula sheet
that will be available at the Final Exam.