Math 126B
Information About the Final Exam

Rules

• You may use two 8 1/2" by 11" one-sided pages (or one sheet written on both sides) of your own handwritten notes (no photocopied or printed material). You may also bring a small model of an xyz-system to the test.
• No Calculators. Although the Common Finals instruction sheet suggests that you bring a calculator to the exam, our test will be written so that you won't need one, and they won't be allowed.
• Tests with wrong or incorrectly spelled TA names or section letters will lose 4 points.
• Show your work. You must justify every answer.
• There are eight problems at 25 points each for a total of 200 points.
• Use the boxes for answers when possible. Measurements must be made with a ruler, and lines and vectors must be drawn with a ruler. Lines or vectors drawn without a ruler lose 4 points.
• We expect you to simplify algebraic and numerical expressions in answers to the point where they can be evaluated by a student in a College Algebra or Precalculus class with a calculator, but you do not need to take them any further. For example, a dot product such as (a,2b+2,b^2) . (a+1,b,0) must be worked out, but need not be simplified: (a,2b+2,b^2) . (a+1,b,0)=a(a+1)+(2b+2)b+0. Leave exact answers in exact form: unless you are asked to approximate an answer or to find an answer graphically, a decimal approximation to exact numbers such as 1+2sqrt(3) or cos(5/9 pi) is incorrect.
• Professor Lee will not be at the exam, but Professor Curjel will be there to answer any questions you may have. If you have a question during the exam, raise your hand and he will come to your seat.
• See the handout titled Ground Rules for Taking Common Finals, given out earlier in the quarter, for more information.

Topics

The test will cover the following topics:

1. Linear approximation (curves or functions of two variables): 1 problem.
2. Functions of two and three variables (including level objects, gradients, graphs, and directional derivatives): 3 problems.
3. Topics after the second midterm (extrema, integration): 4 problems.

Office hours during the last week of classes

Wednesday, May 31       Lee            11:30AM--12:30PM    PDL C-546
                        Wiegmann       1:00PM--2:30PM      PDL C-414
                        Moskowitz      2:30PM--3:30PM      PDL C-8D

Friday, June 2          Moskowitz      11:30AM--12:30PM    PDL C-8D
                        Lee            2:30PM--4:30PM      MSC
                        Wiegmann       6:00PM--8:00PM      PDL C-414

There will be no office hours on Monday, May 29, which is a university holiday.

The Math Study Center is closed Sunday and Monday, May 28 and 29, but is open until 9:30PM every day May 30-June 2, including Thursday and Friday, June 1 and 2.

How to get your final back

There are 3 ways:

1. If you want your final with the course grade on it left outside your TA's office, you have to sign and date the release at the bottom of the front page of the final exam. Please realize that the released tests can be seen and/or taken by anybody who walks by. The released finals will be available in a box outside your TA's office by Wednesday, June 7, 12:00 noon.

2. You can bring to the final a self-addressed 8.5" by 11" envelope with 55 cents (2 ounces) postage on it, marked ``first class.'' If you sign the appropriate spot at the bottom of the front page of the final exam and turn in the envelope with your exam, then your final will be mailed to you.

3. If you do neither of the above, your TA will keep the final and you can pick it up during his office hours over the summer or next fall.

Review Problems

• GROUP (1) - LINEAR APPROXIMATION FOR CURVES AND FOR F(X,Y)

  2.5, 2.6, 2.15, 2.16, V.7 (p. 79), 10.2, 10.6

  17.4, 17.14, 17.15, 14.11, 14.30, 14.31, 15.21, 5 (p. 174)

• GROUP (2) - FUNCTIONS OF TWO AND THREE VARIABLES

  12.16-12.18, 14.19, 14.23, 16.7-16.9, 16.13, 16.15, EMVC 4.7, 1 (p. 249)

  EMVC 2.3, EMVC 2.4; 18.1-18.6, 18.8, C.1 (p. 245), 4 (p. 251)

• GROUP (3) - EXTREMA, DOUBLE INTEGRALS

  20.8, 20.11, 20.13, 21.2, 21.3, 21.5, 21.12, 22.4, 22.7; C.2, C.3, C.5 (p. 246); 5 (p. 252)

  23.2-23.4, 23.5 (without c), 23.6, 24.3, 24.4, 25.5-25.10, 26.5, 26.8, 26.9; 7&8(pp. 254-255)

Also look over the reprints of old exams, and ask yourself for each problem if it would fit into one of the groups above.