Course Exams

Note: More information will be added as the exam dates near

First Midterm Exam: Wed Feb 24

Topics covered will be Sections 11.1-11.4 of the text, as well as Section 12.1 (up to and including p. 717). You should be comfortable with the following:

Curves: graphing parametric and polar curves, and going between parametric/polar equations and Cartesian ones; finding tangent lines, determining concavity, arc length or enclosed area for curves given in parametric/polar form; finding the surface area of a surface of revolution;
Sequences: determine the first several terms of a sequence, write down a formula (possibly recursive) for the general term of a sequence, determine whether a sequence converges or diverges, and in the case of convergent sequences find the limit.

A fairly large selection of review problems is posted on the homework page under "Homework 4." You are encouraged to try these problems and bring any questions you may have to class on Monday or to office hours before the exam.

Second Midterm Exam: Wed Apr 14

The second exam will cover Chapter 12 of the text, which is Sequences and Series. There will be an emphasis on power series and simple applications. I suggest you review by reviewing your homework and doing Homework 10. Bring any questions you have to class Monday or office hours.

Final Exam: Fri May 14, 1:30-3:30pm

The final exam will be cumulative, with a focus on material since the first exam. You should expect that half or more of the exam will be on series, and you would do well to review your second exam as well as your homeworks. You should be competent with the following.

Series: determine (conditional/absolute) convergence/divergence, finding the limits of special series, computing integrals as series, using the Alternating Series Remainder Theorem to find rational approximations of series correct within a specified number of decimal places
Curves/Polar Coordinates in the plane: go back and forth between the Cartesian (xy) equation for a curve, parametric equations and polar equations; determine the tangent line to a curve; determine the area enclosed by a curve.
Vectors/Curves in 3-space: write down vector and parametric equations for lines and planes; determine lengths of vectors, unit vectors, normal vectors, angle between vectors, area of a parallelogram; compute dot products, cross products and understand what they represent; determine tangent lines to curves and arc lengths.

I highly suggest you work through the

Final Review Problems

and check your answers with the book (where available) or someone else, and see me or the Help Center if you have any questions on these problems. Remember my office hours will be Thursday 1:30-3:30 the day before the exam.

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