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Mathematics 2423-001H - Honors Calculus II - Spring 2005

Information about Exam II

Exam II will be in the usual classroom on Thursday, March 24, 2005.

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

The exam will be a mix of problems similar to those of the homework, matters discussed in the lectures, and perhaps some things you have not seen before but which can be solved using ideas from the course. The problems will vary widely in difficulty. Everyone should be able to do many of the problems, but few students, if any, will be able to do all them. Just relax, do your best, and move on to your next task in life.

The main topics are the exponential and logarithm functions. The following will definitely be covered (of course, the exam is not limited to these topics):
  1. Setting up integrals to calculate volumes.
  2. Average value of a function on an interval.
  3. One-to-one functions, inverse functions.
  4. Exponential functions and their graphs.
  5. Using exponentials and logarithms to solve equations.
  6. Calculation of derivatives involving logarithms and exponentials, logarithmic differentiation.
  7. Calculations of integrals involving logarithms and exponentials.

You must know the standard algebraic properties of exponential and logarithmic functions, and how to express exponentials and logarithms in base a in terms of the exponential and logarithm with base e.

This exam will not involve inverse trig functions (but no need to worry, Exam III and the Final Exam will cover them). The following do not appear on Exam II: calculation of areas of regions, volumes of tetrahedra and cones, exponentials and logarithms with base a between 0 and 1, solving differential equations, optimization or related rates problems.