Math 126B

NOTE: Between 10:20 and 10:30, before the test begins, I will put a test on every desk in the lecture room. Please do not take a seat before there is a test on each seat. Thanks-it will make for less confusion.

Rules:

• You may use two 8.5" by 11" one-sided pages (or one sheet written on both sides) of your own handwritten notes (no photocopied or printed material). SHOW YOUR WORK. You may also bring a small model of an xyz-system to the test.
• No Calculators. The test will be written so that you won't need them.
• 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.
• There are five problems for a total of 100 points.
• Tests with wrong or incorrectly spelled TA names or section letters will lose 4 points.
• You may leave complex algebraic expressions as they are, without simplifying. Simplify numerical expressions to the point where they could be evaluated with a simple calculator.
• If you have a question during the test, raise your hand and I will come to your seat.

Topics:

The test will cover the following topics from [LN] Sections 12-18:

1. Functions of two variables (level objects, gradient, graph, directional derivatives; Sections 12, 15, 16): 2 problems.
2. Functions of three variables (level objects, gradient, directional derivatives; Sections 13 and 18): 2 problems.
3. Linear approximation of f(x,y) (Section 17): 1 problem.

Office hours before the test:

Professor Lee will have additional office hours before the test as follows:

Friday, May 5, 2:30-4:00 (PDL C-546)

Both TA's will have additional office hours to be announced in section.

There will be no office hours on Monday, May 8 or Tuesday, May 9. The regular schedule will resume on Wednesday, May 10.

Preparing for Test 2

Have you compared your crib sheet with those of your friends? What do they put on it? Why? What did you put on yours? Why?

Groups of Review Problems

Some of these problems also appear on homework assignments. This is only a sample of review problems. ``T2'' means Sample Test 2 in the Notes.

• Group I (These are on Sections 10 and 11; you should be comfortable with this material in order to handle Sections 12-18)

  F.1-4 (p. 165); 11.2-11.6; T2-1

• Group II

  12.3, 12.5, 12.9-12.12, 12.14-12.16; F.5, F.6 (pp. 166-7)

• Group III

  16.2-16.12, 16.14; T2-2, T2-4

• Group IV

  13.2-13.5, 13.7-13.12; 15.9; F.7 (p. 167)

• Group V

  17.4-17.10, 17.11, 17.16, 17.17; T2-5

• Group VI

  18.4-18.6, 18.9, 18.11; F.10, F.13, F.14 (pp. 168-9)