General Information
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The exam will be held on Monday, May 15, from 11:30am to 2:00pm, in Swords 328.
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Plan to arrive a few minutes early to allow time to distribute the exams.
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Cell-phones should be turned OFF for the duration of the exam.
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You may use a non-graphing, scientific calculator during the exam. No other calculator or electronic device may be used during the exam.
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This is a closed-book exam. No books or notes may be used during the exam.
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You will be expected to show all of your work. A correct answer with insufficient justification
may not receive full credit.
Topics
The final exam will cover all topics we have discussed this semester. See the exam review pages below for topics covered on those exams:
In addition, the final will cover the following topics.
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Power Series. (10.6) Know how to find the interval of convergence of a power series. Also, be able to use substitution and term-by-term differentiation and integration to obtain new power series expansions from a given power series expansion.
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Taylor Polynomials and Taylor Series. (8.4, 10.7) Know how to find the Taylor polynomial and Taylor series of a given function. Know how to use the Taylor polynomial error bound (Theorem 2 in 8.4). Know the Maclaurin series for ex, sin(x), cos(x) and 1/(1-x).
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Differential Equations. (9.1, 9.2, 9.4) Know how to find the general solution of a separable differential equation, and use initial conditions to determine particular solutions. Know how to find equilibrium solutions of a differential equation and be able to plot these together with non-equilibrium solutions.
Preparing for the Exam
See the Chapter Review problems recommended for practice for the midterm exams.
Here are a some additional problems on material covered since the third exam.
Chapter 8 Review, p. 476
Exercises 23-34
Chapter 9 Review, p. 510
Exercises 3-10, 25, 27, 30, 31, 34-37, 42, 43, 46
Chapter 10 Review, p. 476
Exercises 101-106, 111-118, 123, 127, 128
