Exam Information for Math 126A (Summer 2005)

Rules for the exams: You are allowed one two-sided sheet of handwritten notes. No calculators or textbooks.

Midterm

• When: Friday July 22, 2005, 8:30-9:30 a.m.
• Where: Guggenheim 317
• Material covered: TN 1.1-3.3, Stewart 12.1-12.5, 10.1, 13.1, 10.2 (except areas and arclengths)

• Study guide handed out on Wednesday 7/20.
  Note: Contrary to what the study guide says, the exam will not cover any material about area or arclength from Section 10.2.
• Review worksheet handed out on 7/20 (Hints and answers - updated 8/16/05).

• Median: 33.5 out of 50 (67%)
• Mean: 32.75 out of 50 (65.5%)

Final

• When: Friday August 19, 2005, 7:30-9:30 a.m.
  (The test is designed to take one hour, but you have the option of coming to class an hour early if you want more time.)
• Where: Guggenheim 317
• Material Covered: Stewart 10.3, 13.2-13.4, 14.1, 14.3, 14.4, 15.1-15.4, plus any material covered before the midterm.

• Review worksheet handed out on 8/16 (Hints and answers - problems and solutions updated 8/18 - see correction to problem #2). This worksheet covers most of what you will be expected to know for the final, with the exception of basic properties of vectors, dot products, cross products, etc. See the list of topics below.
• Topics to focus on: After each topic, I have listed the relevant problems from the review worksheet above. For more examples, go to the appropriate section in the text or look back over your old homework and quizzes.
  • Double integrals (over rectangles, general regions, and in polar coordinates). [#2, 3, 4]
  • Partial derivatives and linear approximations. [#1, 7, 8 - Also see the short Chapter 14 worksheet posted below]
  • Working with space curves (e.g. computing arclength, curvature, acceleration, velocity, etc.) [#5, 6]
  • Equations for lines and planes (in particular, tangent lines, normal planes, and osculating planes for space curves). [#5(c)i,iii,iv, 6(d) - Also see problem 1 from the midterm]
  • Converting between polar and Cartesian coordinates. [#4 - Also see Quiz 4 and §10.3]
  • Basic properties of vectors, and other basic facts we've covered. See problem 2 from the midterm. Also see the following problems from the old second midterms, listed by quarter and instructor:
    • Winter '05: Perkins #1, Oh #7
    • Autumn '04: Perkins #1, Novik #1, 2
    • Spring '03: Novik #1, 2
    • Winter '03: Novik #1, 2
  • Taylor polynomials and Taylor series. [#10, 11, 12, 15]
  • Identifying geometric series, p-series, and power series, and testing convergence. [#9, 13, 14, 15]
• Exams from previous quarters (on the Math 126 Materials Website): Final, Midterm 2, Midterm 1. If you want extra practice with any of the above topics, try to find exam problems that fit into that category and work through them.
• Here is a short worksheet for extra practice with level sets, partial derivatives, and linear approximations.

• Median: 64 out of 85 (75.3%)
• Mean: 64.2 out of 85 (75.5%)