Information about Exam I for Math 2423-001H

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

Information about Exam I

Exam I will be in the usual classroom on Tuesday, February 15, 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 from the homework, matters discussed in the lectures, and perhaps some things you have not seen before but (theoretically) should be able to solve using ideas from the course. The problems will vary widely in difficulty. Everyone should be able to do many of the problems, but it is not expected that anyone 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 Riemann sums, the Fundamental Theorem of Calculus, and calculation of definite and indefinite integrals. The following will definitely be covered (of course, the exam is not limited to these topics):

  1. The definitions of partition, Riemann sum, and definite integral (except for the precise epsilon-delta definition of what it means for the Riemann sums to converge), both theoretically and in hands-on application to examples.
  2. The theorems that we discussed in class, both statements and applications. Above all, the Fundamental Theorem of Calculus.
  3. Calculation of definite integrals using antiderivatives and the method of substitution.
  4. Calculation of indefinite integrals.

You must know the derivatives of all six trigonometric functions and the corresponding integration formulas, and how to compute definite and indefinite integrals using substitution.

The following do not appear on this exam: applications or interpretations of the integral in real-life situations, the natural logarithm function, the letters epsilon and delta do not appear, the nonintegrable function that we discussed, the explanation of why the Fundamental Theorem of Calculus is true, the fact that integrals preserve inequalities.

The format of the exam will be similar to those of the exams that I wrote for Honors Calculus I, III, and IV, which can be found on their course pages (links to them appear on the course pages page).

1.	The definitions of partition, Riemann sum, and definite integral (except for the precise epsilon-delta definition of what it means for the Riemann sums to converge), both theoretically and in hands-on application to examples.
2.	The theorems that we discussed in class, both statements and applications. Above all, the Fundamental Theorem of Calculus.
3.	Calculation of definite integrals using antiderivatives and the method of substitution.
4.	Calculation of indefinite integrals.