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Mathematics 1823-030 - Calculus I - Fall 2009

Information about Exam II

Exam II will be in the usual classroom during the usual lecture hour on Monday, October 19, 2009. It will cover sections 3.1-3.6. There will be 60 points possible, and there will be two problems that are identical or almost identical to problems that appeared on Exam I.

Because of the repeat problems, the exam is a bit longer than Exam I, but if you are properly prepared, then you should not have any difficulty completing Exam II in 50 minutes. Also, please note that it is not necessary to perform algebraic simplifications of your answers unless the problem specifically instructs you to do so. You can pretty them up if you have extra time at the end of the exam.

You must sit in your regularly assigned seat during the exam, and must show your OU photo ID if requested. You may leave as soon as you have completed the exam and turned it it. Of course, it is advisable to check your work as carefully as possible before turning it in. You must turn your exam in to your discussion class instructor.

No electronic devices of any kind are permitted at any time during the exam. Please turn everything off before the start of the exam.

Everything except a writing instrument will be provided. The last page of the exam will be blank scratch paper, and if you need more blank paper you may request it during the exam. In general, though, you should show all your work on the exam itself, since you can receive partial credit for partial solutions.

Some of the exam will be similar to the homework problems, and some will be drawn from 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 first problem on the exam is to circle the day and time of your discussion class. This problem is worth 1 point.

The following topics are the most likely to appear, although the exam is not necessarily limited to these topics:
  1. Geometric meaning of the derivative. Its definitions using limits.
  2. Algebraic computation of derivatives using the Product Rule, Quotient Rule, and Chain Rule. The Chain Rule is of fundamental importance and will be used in several problems.
  3. The two fundamental trigonometric limits, and their use in computing other limits.
  4. The relation between differentiability at a point, differentiability on an open interval, and continuity.
  5. Implicit differentiation.

The following should be known from memory, without effort: the derivatives of all six trig functions, the Product Rule, Quotient Rule, and Chain Rule, how to find equations of straight lines, factorial ( n! ) notation and its meaning.

For this exam, you do not need to know the following (although they are all good things to know, in general): trigonometric identities, proofs of the algebraic rules for calculating derivatives, the derivative regarded as a stretch factor, using calculus in word problems such as the lighthouse problem discussed in class (but just be patient on that one).

Exams from my most recent 1823 class, in 2001, can be found at its course page, which is linked at course pages. They can be downloaded without solutions, and also you can view the solutions. Of course, that was a different class from ours, so the exams may be quite a bit different. There are also links to two Honors Calculus I classes, in 2004 and 2006, whose exams are more challenging.