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Past Exam for MA 114 - CALCULUS II at Kentucky (UK)

Exam Information

Material Type:Final
Professor:Staff
Class:MA 114 - CALCULUS II
Subject:Mathematics
University:University of Kentucky
Term:Fall 2003
Keywords:
  • In/on/at a Place
  • Integrating
  • Following Series
  • Exam Questions
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Sample Document Text

Calculus II Fall 2003 MA114:007-009 Russell Brown The nal exam will take place 1-3pm on Wednesday, 17 December 2003 in CB 122. Approximately half of the exam will cover new material, xx10.9, 10.10, 10.12, 9.1{9.4 and approximately half of the exam will consist of questions from the rst three exams. I will make small changes in the questions which do not a ect the method of solution. The new topics to be examined are: 1. Di erentiating and integrating power series. 2. Finding the series for ln(1 +x) and tan 1(x). 3. Taylor and McLaurin series. 4. Finding series for sinx, cosx and ex. 5. Use of Taylor’s theorem to estimate the error when approximating a function by a Taylor polynonial. 6. Use of the alternating series estimation theorem to estimate the error when approximating a series by a Taylor polynomial. 7. Parametric curves. Rewriting as Cartesian equations. 8. Tangent lines to parametric curves. 9. Arclength of parametric curves. 10. Polar coordinates. Sketching curves in polar coor...
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