Exam 3: May 15, 2006, 7-9pm
Extra Office Hours: Friday, May 12, 1:30-4pm

Follow this link to see the topics covered on this comprehensive exam.

Exam 2: April 27, 2006
Extra Office Hours: Wednesday, April 26, 1:45-3:45

Exam 2 covers all classes from March 3 through April 21, and Sections 3.7-3.10, 4.1-4.5, 4.7, 4.9, 4.10, and 5.1-5.4 from the book.

Here is what you can expect on Exam 2. The point totals are expressed as percentages and are approximate.

• (~ 10%) Derivative Techniques
• The Chain Rule (make sure you review this!)
• Implicit differentiation
• Higher derivatives
• (~ 15%) Curve Sketching
  • Find Extreme Points and Maximum/Minimum Values
  • Concavity and inflection points
  • Horizontal Asymptotes
  • Sketching the curve
• (~ 10%) Derivative Applications
  • Mean Value Theorem
  • Linear Approximations
  • Newton's Method
• (~ 15%) A story problem on Related Rates or Optimization (Sections 3.9 and 4.7)
• (~ 30%) Integrals and antiderivatives
  • Antiderivatives / Indefinite integrals
  • Definite integrals
  • Properties of Integrals (like Property 8 in Section 5.2)
  • The Fundamental Theorem of Calculus
• (≤ 10%) Riemann Sums (Sections 5.1-5.2)
  • Know how to approximate the area under a curve using Riemann sum.
  • Know how to write the summation version of a Riemann sum
• (≤ 10%) Miscellaneous.

Exam 1: March 2, 2006
Extra Office Hours: Wednesday, March 1, 1:45-3:45

Exam 1 covers all classes from January 23 through February 24, and Sections 1.1-1.3, 2.1-2.6, and 3.1-3.6 from the book.

Here is what you can expect on Exam 1. The point totals are expressed as percentages and are approximate.

• (≤ 10%) Introductory material.
• Finding the domain of a function.
• Determining in what way a function is the composition of related functions.
• (~ 35%) Limits and continuity.
  • Finding the equation of the tangent line to a function.
  • Determining the instantaneous and average velocity of an object.
  • Laws of limits, including infinite limits.
  • Finding a limit of a function defined by a graph.
  • The squeeze theorem.
  • (perhaps) tangent lines.
  • The intermediate value theorem.
• (~ 15%) Derivatives using limits.
  • The derivative as a limit of difference quotients.
  • Derivatives as rates of change.
  • Derivatives as slopes of tangent lines.
• (~ 30%) Derivatives using rules
  • Sketching the derivative graph of a given graph.
  • Using power, product, and quotient rules
  • Knowing derivatives of trigonometric functions
  • Using the chain rule.
• (≤ 10%) Delta-Epsilon (Section 2.4)
  • At most, a proof of a linear delta-epsilon example.
• (≤ 10%) Miscellaneous.

Exam Expectations
        The exams are given in the Thursday sections of class, so they are 1:25 long. I plan to make the tests 1:00 long, so that there will be minimal time pressure. There will probably be at least one "story" problem. Some topics listed may not appear on the exam.
        Of course, you will need to justify your answers in order to have full credit.