Math 23
Exam 1 Information

The first exam for this course will be held in Bradley 102, from 7:30 - 9:30pm, on Monday, January 24th. The material covered on the exam will include everything that we cover up to and including Friday, January 21st. What we do in class on Monday the 24th will not be on the exam.

The exams will be graded immediately after the exam period Monday night. I will hand back the exams Tuesday, January 25th, during x-hour, and will field any questions that you might have concerning the test. We will not be spending time during our regular class meetings discussing the exam material, so this is your best opportunity to go over the exam (however, you are always free to blitz me for an appointment to discuss your test in private).

Exam Topics

Here is the list of exam topics that I posted during class the other day. This is intended as a study guide, and not a guarantee of what may or may not be on the exam. Anything that you have done for homework, or that we have done in class is fair game for the exam.

Sections 2.1-2.4: First Order Linear Differential Equations

• general solution
• integrating factors
• asymptotic behavior
• separable equations

Sections 2.5-2.6: Modelling problems

• radioactive decay
• Verhulst dynamics
• Newton's Law of cooling
• mixture problems
• continuously compounded interest
• stable vs. unstable solutions

Sequences and Series

• definitions of convergence, divergence
• convergence tests for series
• deriving Taylor series
• power series solutions to D.E.'s

Sections 3.1-3.5: Second Order Linear Differential Equations

• Second Order Linear D.E.'s with Constant Coefficients
  • 2 real roots
  • 1 repeated root
  • 2 complex roots
• homogeneous vs. nonhomogeneous equations
• linear independence vs. dependence
• principle of superposition