Exams
midterm1-practice.pdfMidterm 1 (Practice)
This is an example midterm showing the layout and type of questions that you are expected to be able to answer.
You are expected to be able to finish all questions in 45 minutes. For this example midterm, I would expect something like: Question 1 (5 min), Question 2 (15 min), Question 3 (15 min), Question 4 (5 min), review (5 min).
midterm1.pdfMidterm 1
You were given 45 minutes to finish the midterm.
midterm2-practice.pdfMidterm 2 (Practice)
This is an example midterm showing the layout and type of questions that you are expected to be able to answer.
You are expected to be able to finish all questions in 45 minutes. For this example midterm, I would expect something like: Question 1 (10 min), Question 2 (5 min), Question 3 (10 min), Question 4 (15 min), review (5 min).
midterm2.pdfMidterm 2
You were given 45 minutes to finish the midterm.
final-practice.pdfFinal exam (practice)
This is an example final exam showing the layout and type of questions that you are expected to be able to answer.
You are expected to be able to finish all questions in 3 hours (and I think most of you should be able to finish it in 2 hours or less).
final.pdfFinal Exam
You were given 3 hours to finish the final exam.
Solutions
midterm-practice_sol.pdfMidterm 1 (Practice) - solution
For 1.(b) you only need to draw about 10 arrows to sketch the vector field.
midterm1_sol.pdfMidterm 1 - solution
For 2.(b) you were expected to draw 10 (or slightly more) arrows in different positions, so that you can see the flow from the sketch.
midterm2-practice_sol.pdfMidterm 2 (Practice) - solution
You don't need to include a drawing in 4.(a).
midterm2_sol.pdfMidterm 2 - solution
You don't need to include a drawing in 1.(a).
final-practice_sol.pdfFinal Exam (Practice) - solution
You don't need to include a drawing in 3.(a), but you do need to include it in 5.(a).
final_sol.pdfFinal exam - solution
You don't need to include a drawing in 4.(a), but you do need to include it in 6.(a).