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Mathematics 2433-001H - Honors Calculus III - Fall 2007

Information about Exam I

Exam I will be in the usual classroom on Tuesday, September 18, 2007. It will cover sections 11.1-11.4 and 12.1-12.2.

Calculators or other mechanical assistance are not needed and are not to be used. Blank paper will be provided, so all you will need is something to write with.

Many of the exam problems will be very similar to homework problems. Some may draw upon the material presented in the lectures. As on any exam, it is wise to start with the problems that you feel confident that you know how to do, before moving on to others.

The following topics are very likely to appear, although the exam is not necessarily limited to these topics:
  1. Parameterization of curves. Calculating lengths, areas, and surface area using a parameterization.
  2. Polar coordinates. Graphs of equations of the form r = f(\theta). Calculation of lengths and areas using polar coordinates.
  3. Sequences and convergence. Geometric sequences.
  4. Monotonic sequences and the Monotonicity Theorem.
  5. Series. Meaning of convergence of a series. Geometric series.

The following topics do not appear, at least not explicitly: rate of change, linear approximation and the error of linear approximation, Riemann sums, finding parameterizations of curves defined by geometric constructions, the epsilon-delta definition of convergence of a sequence, Newton's method

Exams from previous Honors Calculus classes can be found on their course pages (links to them appear on the course pages page). Some were 50-minute classes, but most were 75-minute classes. This course varies from semester to semester, so the exams may be quite a bit different from ours.