The first exam covers all of Chapter 1 of the course text. You should go over homework problems, your class notes and the first lab project. I have also chosen some good practice problems from the Chapter 1 review. The answers to all of these review problems are posted on the Moodle page for the course. The exam will be designed to take one hour although you will have the full 90 minutes.
Note: You will be allowed a scientific calculator for the exam that does NOT have graphing capabilities. Please bring your own calculator.
Exam Review: We will review for the exam during Monday's class, Oct. 6th. Please come prepared with specific questions.
The following concepts, definitions, theorems and models are important material
for the exam:
Chapter 1 Review Exercises (pp. 136 - 141)
Problems: 1, 2, 4, 5, 7, 9, 11, 17, 19, 20, 21, 23, 25, 26, 29, 31, 33, 34, 35, 37, 39, 40, 41, 42, 46, 47, 48, 49, 50, 51, 52
Additional Problem:
Sketch the bifurcation diagram for the family of differential equations
dy/dt = y^3 - ay with a as a parameter and describe the behavior of solutions before, at and
after any bifurcations. Explain why this bifurcation is called a pitchfork
bifurcation.