Exam 3: November 30, 2006
Extra Office Hours: Tuesday, November 28, 3:00-4:00, LN 2233

Exam 3 covers all classes from October 27 through November 21, and Sections 17-24 from the book.

Here is what you can expect on Exam 3. The point totals are expressed as percentages and are approximate.

• (~ 15%) Trigonometric Calculations
  • Inverse trig functions and their derivatives
  • Trig Limits (like lim_(x->0) sin x/x and lim_(x->0) (cos x-1)/x
• (~ 15%) Rectilinear and Circular Motion
• (~ 15%) A story problem on Related Rates
• (~ 45%) Integrals and antiderivatives
  • Antiderivatives / Indefinite integrals
  • Definite integrals
  • Properties of Integrals
  • Substitution Rule
  • The Fundamental Theorem of Calculus
• (≤ 10%) Riemann Sums
  • 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.
  • Differentials
  • Newton's Method

Exam 2: October 26, 2006
Extra Office Hours: Tuesday, October 24, 3:00-4:00, LN 2233

Exam 2 covers all classes from September 25 through October 23, and Sections 10-18 from the book.

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

• (~ 30%) Derivative Techniques
• The Chain Rule (make sure you review this!)
• Implicit differentiation
• Higher derivatives
• (~ 25%) Curve Sketching
  • Find Extreme Points and Maximum/Minimum Values
  • Concavity and inflection points
  • Horizontal, Vertical, and Slant Asymptotes
  • Sketching the curve
• (~ 20%) Trigonometry
  • Trig functions and values
  • Trig identities
  • Derivatives of trig functions.
• (~ 15%) A story problem on Optimization (Section 14)
• (≤ 10%) Miscellaneous.
  • possibly including Rolle's Theorem, Mean Value Theorem

Exam 1: September 28, 2006
Extra Office Hours: Tuesday, September 26, 3:00-4:00, LN 2233

Exam 1 covers all classes from August 28 through September 22, and Sections 1-9 and 12 from the book.

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

• (~ 30%) Chapters 1-6 (Introductory material)
  • Absolute values
  • Points, lines, slopes
  • Circles, parabolas, ellipses, hyperbolas and their standard forms.
  • Finding the domain and range of a function.
• (~ 45%) Chapters 7-8 (Limits and continuity)
  • Laws of limits
  • Finding a limit of a function defined by a graph.
  • Infinite limits, limits at infinity
  • Horizontal, vertical asymptotes.
  • Determining if a function is continuous everywhere or only at a point.
  • Determining and classifying discontinuities as removable or unremovable.
  • The squeeze theorem.
  • The intermediate value theorem.
  • The extreme value theorem.
• (~ 15%) Chapters 9,12 (Derivatives using limits)
  • The derivative as a limit of difference quotients.
  • Derivatives as slopes of tangent lines.
• (≤ 10%) Delta-Epsilon
  • 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.