Math 1170

Your Host: Mark Zajac



Office Hours: Catch me before class or make an appointment for the next day. Don't be shy! Questions are very, very welcome.


Syllabus: You can download a copy of the syllabus, which gives some additional details about the course.


Spring Semester: Here is a link the the web page for the Spring 2010 semester, where information will accumulate, as the semester progresses.


Text Website: The text has a companion web site, which includes answers to all the odd-numbered excercises.




Section Notes Suggested Problems
1.1
1.2 notes 3, 5, 25, 29, 31
1.3 notes 23, 24, 25, 26, Not on test: Bomb Energy
1.4 notes 5 (one method: get slope from point-intercept form, construct point-slope form and compare), 9, 11, Added: 39, 41
1.5 notes 17, 21, Too tricky for test: 35
1.6 notes 5, 7, 9, 19, 21, 25, Added: 13, 15 (if nothing else, just look at the answers)
1.7 notes 5, 9, 15, 19, 23, 25, 31, 39
1.8 notes 33, 37, 39, 41, 43
1.9 notes 13, 17, 21, Omit: 29
1.10 notes 7, 11 (see notes pg. 38), 15, 17, 43 (see notes pg. 39 for hint)
1.11 notes 1, 3, 5, 7, 9, 11


First Test: The average on the first test was 41/50 points.

Here are the hints to for the first test.


Section Notes Suggested Problems
2.1 notes Low Priority: 1, 3, 7, 9, 13, 15
2.2 notes 17, 19, 21, 23 (for 17 and 19 just look at the answers or use Maple for the graphs -- notice which function grows faster) Low Priority: 9, 11, (to get started, just look at the answers for 1 and 3)
2.3 notes 1, 3, 5, 11, 13, 15 (in 11, 13, and 15, plugging in 0.1 and 0.01 needs a calculator and could not be on the test)
2.4 notes 7, 9, 11 (an example of using a specific x0 value), 13, 17, 19, 21, Optional: 3
2.5 notes 1, 3, 5, 7, 9, 11, 27, 37 (don't agonize over parts d & e, maybe refer to class notes, page 61), Optional: 13
2.6 notes 1, 3, 5, 7, 9, 23 (notice that derivative equals zero at maximum population), 25, 35 (don't kill yourself on the graph)
2.7 notes 1, 3, 5, 7 ,13, 15, 17, 27, 29
2.8 notes 3, 7, 9, 11, 13
2.9 notes 1, 9, 13, 23, 41, 43, Optional: odd problems from 1 to 23 until you feel comfortable or run out of patience (don't kill yourself but exposure to many examples will boost your intuition)
2.10 notes 1, 3, 5, 7, Low priority: 27 (take derivative to verify that left-hand side of equation equals right-hand side) Attention: The posted notes and goals are for section 2.10 but the goals are misslabeled as 2.8, by mistake.


Second Test: The average on the first test was 42/50 points.

Here are the hints for the second test.


Section Notes Suggested Problems
3.1 notes 5 (use Maple, or just peek at answers for graph), 9, 13 (think briefly then peek at answer), 15, 17
3.2 notes 9, 11, Optional: here is a "Maple Worksheet" that can make cobweb diagrams. This could save you time on the suggested problems and let you verify, for yourself, the table of stability on page 98 of the class notes.
3.3 notes 1, 9, 15, 35 (see notes page 103 for algebra hints), 39
3.4 notes 3, 5, 7, 9, 11, 13, 25
3.5 notes 1, 3, 5, 9, Added: 11, 13, Low Priority: 15
3.6 notes 3, 5, 9, 11, 19, 21
3.7 notes 7, 9, 11
3.8 notes 5
3.9 notes none


Third Test: The average on the third test was 41/50 points.

Here are the the hints for the third test.


Section Notes Suggested Problems
4.1 notes 9, 11, 13
4.2 notes 9, 11, 13, 15, 17, 19 -- Skip all graphs.
4.3 notes 1, 3, 5, 21, 23, Added: 7, 9, 11, 13, 15, 19 (these additions were all mentioned in class but somehow omitted from the web page)
4.4 notes none
4.5 notes 11, 13, 15, 17, 29, Added: 21, 23 (both are examples of integration limits that change with substitution)
4.6 notes 1, 3, 5, 17 -- Skip graphs. Omit: 15
4.7 notes 5, 7, 9, 11, 13, Omit: 15, 17, 19, 21


Final: The final will be held, from 8:00 AM 'till 10:00 AM on Thursday, the 17th of December, in ST 205, our usual classroom.

The exam hints are now available. A reference such as "goals 133" refers to the lecture goals on page 133 of the notes. Attention: the link was broken but is now fixed.

Oh, here are two more hints.

Some exam hints refer to hints from past tests, which have been reposted, for each section, above.

DANGER! Do not make plans to leave town before the final.

Mark Zajac

Mark Zajac
University of Utah
Department of Mathematics,
155 S 1400 E RM 233
Salt Lake City, UT, 84112-0090
USA