Homework                               

Each homework set will consist of reading assignments of one or more sections of the text, a
set of assigned problems which are chosen to be similar in type and difficulty to the list of recommended homework problems on the syllabus on the course web page . In some cases, it is to use the odd numbered  recommended
problems as assigned problems (whose answers are given in the back of the text);  in other situations, it is
preferable  to select even numbered examples that are similar in type to a recommended problem.


You should  turn in each of the assigned problems for grading.  If you are unable to
find the full answer to a problem, it is better to turn in a partial solution, or even an incorrect
solution than to leave the answer blank. I will instruct the grader to award at least some partial
credit for a serious attempt to find the answer. (However, simply copying the statement of the question doesn't
qualify).  Part of learning how to do calculations correctly is finding out where you may be  making a
mistake.

You should also tackle the recommendend problems that are not assigned problems, as the
assigned problems are only a representative sample. Quite a few of these problems are
similar and are included as practice problems to help solidify your computational skills. It
is very important to work on enough practice problems to solidify your understanding of the course material,
but it is left to the judgment of each student to determine how much repetition is useful.
Generally, it is a good idea to come back to these problems  as a review for exams, and the full set of
recommended problems is intended to provide some sense of the types   and the levels of difficulty of questions that are likely to appear on exams.

Each assigned problem should be turned in for grading. However only a sample of the
assigned problems will be graded. The grader will be instructed not to grade substituted problems
that are similar to the ones selected for grading.

Calculators and showing your work: You should show all work required to justify your answers by providing
relevant calculus and algebraic calculations for each step. There is a judgment call as to when a calculation is
so simple that the answer is `obvious'. My instructions to the grader will be that an unjustified answers
should lose credit if the unjustified portion of the answer would  not be obvious to him/her without a
pencil-and-paper calculation. You may use calculators
to check your answers, or as a way of obtaining hints about what the correct answer
should look like. In problem where numerical answers are required, calculators
may of course be used to evaluate functions numerically. You may also use graphing calculators to
obtain information about the behavior of graphs of functions, unless sthe statement of the problem specifically
requires that you provide an analytical calculation to determine the requested information.

Homework 1:  
Read sections 12.1, 12.2 in the text.
Assigned problems Section 12.1:  3,4, 11,16,  30,41 (turn in for grading)
(other recommended problems for 12.1: 7,13,17,23,31; don't turn these in)

Assigned problems Section 12.2: 4,6(a,b,e), 11, 20,24, 31
(recommended problems  Section 12.1: 3, 7, 11, 13, 17, 23, 31, 41

Homework 2: Due Tuesday, Feb 19
Read Sections 12.3, 12.4, 12.5 in the text.

12.3: turn in the following problems: 5, 11 (this is an equilateral triangle),18, 21,37
12.3 Recommended problems (do not turn in):  7,9, 17,19,25,31

12.4: turn in the following problems:  2, 5, 10,15,26 39a,b(hint: consider Figure 2 for part a)
12.4 Recommended problems (do not turn in): 1, 3, 11, 13, 25, 29,  45

12.5: turn in the following problems:  8,14,19, 24, 27,35, 39, 49
12.5 Recommended problems (do not turn in):  1, 3, 5, 7, 13, 23, 31, 35, 39, 45, 65

Homework 3: Due  Monday, Feb 24
Read: 12.6, 10.1 ( a review of plane curves), 13.1, 13.2,
12.6: Turn in: 5,12,25,28
12.6 Recommended problems(do not turn in): 3, 11, 13, 21-28, 41, 43

10.1: turn in problem 5,19
10.1 Recommended: (do not turn in): 1, 3, 7,21


13.1 (turn in) problems: 3,13, 16, 19, 39
13.1 (recommended: do not turn in) :5, 7, 15, 17, 19-24, 33, 39

Homework 4: Due  Monday, March 3
Read 13.2, 13.3, 13.4
13.2: turn in  8,  9, 13,19, 25, 32, 35,39,49
13.2: recommended: 1, 3, 5, 9, 11, 13, 19, 25, 33, 37, 49

13.3: turn in  5,9
13.3: recommended:1,3,11

13.4: turn in : 5,11,16,23
13.4: recommended: 3, 5, 9, 11, 15, 19

Homework 5 (Due March 24)
Read: chapter 14.1, 1.2,.14.3,
14.1: turn in:  13, 26, 39, 55
14.1: (recommended): 11,  23, 25, 29, 37, 41, 53-58

14.2: turn in: 9, 27
14.2; (recommended) 7, 11, 31

14.3: turn in:4, 14,17,21,36,,47,81
14.3: (recommended) 3, 13, 15, 17, 19, 21, 35, 37, 41, 49

Homework 6  (due April 4)
Read sections 14.4, 14.5, 14.6

14.4 (turn in for grading)  2,17, 24,32
14.4 (recommended) 1, 3, 5, 19, 23, 25, 29, 31

14.5 (turn in for grading)  2,  9,  18,23, 28,39
14.5 (recommended)1, 3, 5, 7,  11, 13, 17, 21, 27, 29

14.6( turn in for grading)  2,5,8,15,21,39, 53
14.6 (recommended) 1, 5, 7, 9, 11, 13, 21, 23, 39, 41, 53, 59

Exam II information: see m233 course web page for information about Exam II]
(topics, review session, exam room, and makeup information)

Homework 7 (due April 14)
Remark: I thought I had updated the homework page with the new assignment last week, but
I put the updated  file in the wrong place and the update never occured. I applogize for the error. It
is MOST important that you work through the problems in Sections 14.7 and 14.8 before the
exam next Wednesday, since material from both sections will be on the exam. Since we have discussed
both sections at this point during lectures, there is still adequate time to work on these problems if
you start now. This is challenging material and I highly recommend that you start in on these problems
right away.
Read Section 14.7, 14.8, 5.1,5.2 (text)

14.7 (turn in for grading) 6,9,29
14.7  (recommended)   5, 7, 11, 27, 29, 31

14.8 (turn in for grading) 4, 9, 18
14.8 (recommended)  5, 7, 9, 11, 19

Problems from Sections 5.1 and 5.2 will be on the next homework assignment after Exam II, but you should
begin reading these sections.

Homework 8  (Due Monday, April 28)
Read  sections 15.3, 15.4 in the text. (note: section
15.5 on applications will be skipped for now and will not be coverred on the final exam.
We will proceed to ch 16 after 15.4. If time permits, we will  discuss 15.5 at the end of the term.

1.5.1 (recommended) 5, 11, 13

15.2 (turn in for grading): 4, 7, 13, 21,27,33
15.2 (recommended) 3, 5, 9, 11, 13, 15, 23


15. 3 (turn in for grading):  3, 8,11, 19,27,39,43,49
15.3 (recommended) 1,  5, 7, 9, 13, 19, 21, 23, 37, 45

15.4 (turn in for grading) 10,13,21, 31
15.4 (recommended) 9, 11, 19, 21, 25, 29, 31
 

Homework 9  (Due Monday,  May 5)
Read  sections 16.1, 16.2
in the text.

16.1 (turn in for grading) 4, 13,25
16.1  ( recommended problems)1, 3, 5, 11-18, 21, 25

16.2 (turn in for grading) 2,4,17, 25
16.2  ( recommended problems)  1, 3, 5, 7, 11,  19, 23

Homework10  (Due Monday , May 12)
Read  sections 16.3, 16.4 in the text.

16.3 (turn in for grading)   5,6,9,13, 20, 23
16.3  ( recommended problems) 3, 5, 7, 9, 11, 13, 19, 21, 23

16.4 (turn in for grading)  2, 7, 12, 15
16.4  ( recommended problems)  1, 3,  9, 11, 13, 15, 19