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Mathematics 1823-030 - Calculus I - Fall 2009

Information about Exam I

Exam I will be in the usual classroom during the usual lecture hour on Monday, September 21, 2009. It will cover sections 1.1-1.3 and 2.1-2.5.

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. Types of mathematical objects. Numbers, sets, functions, domains and codomains.
  2. Linear functions and their equations.
  3. Intervals of real numbers and interval notation. The standard notation f : A → B.
  4. Graphs of functions. Manipulation of graphs by translation and stretching.
  5. Operations on functions. The four arithmetic operations. Composition of functions.
  6. Tangent lines, calculating the slope of a tangent line using a limit.
  7. Limits, intuitively. Evaluation of finite and infinite limits.
  8. The formal definition of a limit.
  9. Continuity, the Intermediate Value Theorem.

The following topics do not appear, at least not explicitly: rational and irrational numbers, empty sets, regarding the x- and y-coordinates and slope of a line as functions, exponential functions, graphs of the tangent, cotangent, secant, and cosecant functions, average and instantaneous velocity, horizontal asymptotes, the functions sin(1/x) and x sin(1/x), tricky applications of the Intermediate Value Theorem.

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.