Math 110: Calculus 1 (Fall 2007) |
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Exams |
Thursday September 27 Exam 1 is in Fowler 301 and Fowler 302 starting at 7pm on Thursday September 27. The exam is intended to be completed in one hour. The lights in Fowler go out at 10pm so hopefully everyone will be finished by then. NO CALCULATORS. Practice Exam Study Guide Exam 1 The text of Exam 1 is available along with solutions
(in high-def and
low-def formats). MATH 110 BASIC CALCULUS I Ron Buckmire Fall 2007 Study Guide for Exam I The material on the exam will cover Worksheets 1 through 12, homeworks 1 through 12 and Sections 1.1, 1.3, 1.4, 1.5, 1.6, 2.1, 2.2, 2.4, 2.5, 2.6. I try to make the study guides complete, but there are no guarantees. Also look at homeworks, homework solutions, quizzes, quiz solutions, handouts, gateways, labs, and class notes.
This might change, but my current plan is not to allow calculators on exams. Topics · Functions o Different understanding of function: as rule, graph, table, machine, object and formula o Variables, parameters, constants o Domain and range of a function (set notation) o Cancellation equations o Definition of identity and inverse objects, particularly in composition of functions o Piecewise-defined functions o New functions from old functions (shifting up, shifting down, shifting left, shifting right, reflecting about the x-axis, reflecting y-axis, etc) o Families of functions: power functions, trigonometric functions, exponential functions, logarithmic functions, polynomials, rational functions, algebraic functions, o Interpretation of functions to real-word situations · Limits o one- versus two-sided limits o visual understanding and interpretation of limits o from graphs o by computing a table of values and guessing o by plugging in o at infinity and limits which are equal to infinity o by factoring and canceling, possibly after other algebra tricks (e.g., rationalizing) o by dividing top and bottom by the largest power of x in the bottom o end behavior of functions; horizontal asymptotes o the form for rational functions o failing to exist due to oscillation · Continuity o definition o recognize discontinuities in a graph, and identify which part(s) of the definition is(are) violated o removable discontinuities o intermediate value theorem o squeeze theorem
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