Calculus I: Math 151-005, Fall 2008



Instructor: Michael Pelsmajer
office: E1 206, phone: 567-5344, email: pelsmajer_(AT)_iit_(DOT)_edu
[Departmental webpage] [Personal webpage]

Generic Syllabus (updated February 2006)
Math 151-005 Fall 2008 Course Information, and a rough schedule of topics
class meetings: 11:25am-12:40pm MWF in SB 239, and 1:50-3:05pm Friday in SH 237 or SB 239



[Advice] [Homework Assignments and Quizzes] [Maple Labs] [Trig Review] [Writing Project]
[Updates: Exams, Friday afternoon meeting locations]


Advice, Tips

I can enthusiastically recommend the book How to Ace Calculus: A Streetwise Guide. The quality of the advice is very high, and it's genuinely funny. The extensive excerpts let you see what it's about.

There is an excellent, well-organized collection of tips here: Success in Mathematics. I wish I wrote it! You should read it right now, and reread it later in the semester (e.g., a week before the first exam)! You can skip Section 2.2 (Polya's four-step process), but everything else is very relevant for Math 151-005 this semester.

If that's not enough for you, here are a few more sources of high quality advice:


Don't forget about the Academic Resource Center (ARC).

Homework Assignments and Quizzes

There will be homework assigned every day, and you should do it before the next class. Some of the problems will be starred (*), and these will be handed in once a week on Friday. The other problems will not be graded, but: (1) you still have to write them out legibly, and save them in a folder or notebook, (2) you have to check that your answers are correct on your own (you will be given the answers) and seek help if you don't understand.

Class every Friday will begin with a short quiz. Quiz problems will be, in many cases, identical to the ungraded homework problems!

(We may switch to WebWork-based homework at some point in the semester, at which point I'll have to revise the above policy. More on that later, if it all works out.)

Assigned August 22
Appendix A, pA9 #13,19,27,33,52*,53,55
Appendix B, Read pA11-A14, starting from "Recall from Appendix A that the distance...".
Appendix B, pA15 #5,17,25,41,49,50*,51
Read "Success in Mathematics" and "Things Not To Do", above (others are optional).
Read from p3-9 "The Area Problem", "Velocity", "Summary".
Assigned August 25
Read p10-12 & p15
Section 1.1, p20 #1, 5,7, 15, 27,28*,29,31, 33,36*,41, 51,53
Assigned August 27
Section 1.3, p43 #3,5,6*,7, 11,13, 36*, 41,43,49
 
Assigned August 29
Read examples 1,3 from Section 2.1
Section 2.1, p65 #5
Read Examples 2,4,5 from p68-70 (optional: read all of p66-71)
Section 2.2, p75 #5,6*,7, 13,15, 19
(No class September 1)
Assigned September 3
Section 2.2, p75 #9, 25,27,29,31,32*
Section 2.3, p84 #11,13,14*,15,16*
 
Assigned September 5
Section 2.3, p84 #21,23,25,28* (removed 35,38*)
Section 2.5, p105 #3,5,6*,7, 15,17,19, 37 (added 37)
Small Bonus: Go to the ARC and find a math tutor. Have this person verify you were there (by emailing me, or in some other way).
Assigned September 8
Section 2.3, p84 #35,38*
Section 2.5, p105 #44*,45*,46*,47*,49*
Study Figures 1,2,3 (read text as needed) p113-114
Section 3.1, p119 #1, 3a(i&ii) & 3b, 5, 7 using methods from class (from Section 3.1), not derivative rules
Assigned September 10
Section 3.1, p119 #9ab, 11, 13
Read examples 1 & 2, studying Figures 1-3, p124-125
Section 3.2, p131 #1,3,5,9,11, 17,19, 22*
 
Assigned September 12
Section 3.2, p134 #49,51
Read p137-138
Section 3.3, p144 #1,5,9,11,17
Assigned September 15
Section 3.3, p144 #13,19, 49, 63, 69
Section 3.4, p154 #3,5,7,9, 15, 18*, 21, 39,40*,41
(the last three problems use Box [2] on p149)
Assigned September 17
Section 3.5 #1,3,5, 11,17,21,23,27, 31,33,37,39
(Exam on Wed Sept 24)
 
Assigned September 19
Section 3.6, p169 #5,13,15,23,29,39
(and study for exam)
Assigned September 22 (or 24)
Section 3.6, p169 #34*
Section 2.4, p95 #1,2*, 13,14*
(and study for exam)
No new homework (exam)
 
Assigned September 26
Section 7.1, p391 #5,7,13, 19,20*, 25, 33c,34c*,35c, 37,39
Read definition of inverse cosine and tangent functions, p456-457
Section 7.6, p461 #1,3
Assigned September 29
Section 7.6, p461 #23,25,27,31, 38*,39
Section 3.8, p186 #1,3,5,7,9
Assigned October 1
Section 3.8, p186 #11,13,15,17, 21,23,25
 
Assigned October 3
Section 3.7, p179 #13ab,17,25
Section 3.9, p193 #1,3, 23,25,27,28*
Assigned October 6
Section 4.1, p211 #3,4*,5,6*,7,9, 11,12*,13,14, 45,48*,49,51,52*
Assigned October 8
Section 4.2, p219 #5(be specific), 7,15,16*,17,19,24*,25 and Read Examples 2 and 5
 
Assigned October 10
Section 4.3, p227 #1,5,9, 20*,21,25, 31,32*
(Make your sketches neat and clear! You will probably have to try more than once before you get a nice sketch.)
Assigned October 13
Section 4.4, p240 #3, 9,11,13,15,17,18*,19,
Homework is due Wednesday, Oct 15 this week! (No class on Friday due to Fall break)
 
Assigned October 15
Section 4.4, p240 #23,25,27,29
Section 4.5, p248 #5,15,17,27 (using the guidelines from class to sketch)
Assigned October 20
Section 4.7, p262 #9,13,17,23,30*,33,47
Corrected 4.6 to 4.7 on Oct24
Assigned October 22
Section 4.7, p262 #34,35,66
Corrected 4.6 to 4.7 on Oct24
 
Assigned October 24
Section 4.8, p272 #1,3,4*,7,11,15
You can/should use a calculator or Maple for #7,11,15.
(and study for exam Friday Oct.31)
Assigned October 27
Section 4.9, p279 #1,3, 7, 11,13,15,17, 21,27, 32*,33,35,37,39, 47, 57d (Hint: #13 is like Example 2)
(and study for exam Friday Oct.31)
Assigned October 29
Study for Friday's exam (no new homework)
Homework assigned October 24 & 27 will be due Monday, November 3.
(You should attempt to do the problems earlier, but if you get stuck and run out of time, this allows you to study for the exam instead.)
See below for second exam topics review.
 
No homework assigned on October 31 (exam)
(There is a special Maple Lab, however.)
Assigned November 3
On pA38 (Appendix E), do #1,3,5,7, 11,13,15, 21,25
Read p288 and p292-295
On p298, do #1a, 5ab, 17,19,20*,21
Assigned November 5
On p310, do #5, 17, 19, 29, 33, 34*
 
Assigned November 7
Section 5.1, p298 #11, 16*
Section 5.2, Read p308-309
Section 5.2, p310 #43,45,46*,47,48*, 51,53,55,59
Assigned November 10
Section 5.3, Read p313-314
Read example 3, p317
Section 5.3, p321 #3,7,9,11,13,15,16*,17
Assigned November 12
Section 5.3, read Example 8 and p320.
Section 5.3, p321 #19,23,25,27,31, 37,38*
Section 5.4, read Example 2 p325 and Example 5 p326
Section 5.4, p329 #5,9,11,13, 25,35,37
 
Assigned November 14
Section 5.3, p323 #71,72*
Section 5.4, p329 #47,49,50*,52*,55,59
Section 5.5, p338 #3,7,9,11,17,19,23,25,27,29, 31,37,39,41,43,47
(next class, I won't assign many new problems)
Assigned November 17
Section 6.1, p352 #1,3, 17,18*,21, 31
Assigned November 19
Section 6.2, see pictures p354-355
Section 6.2, p362 #51, 59, 61, (65), 70*
 
The final set of homework are due Wednesday, December 3.
Assigned November 21
Study pictures p356-359, p366
Section 6.2, p362 #9,13, 31,33
Section 6.3, p368 #2, 21,23,25, 37,38*,39,40*
Assigned November 24
Section 6.4, p373 #1,3, 13,15, 19,21,26*
(Class cancelled on November 26)
Assigned December 1
Section 6.5, p377 #5, 9, 13, 16,17
(Optional: Any/all review exercises p378-379, except not #17.)
 
Assigned December 3
(Optional: Any/all review exercises p341-343 #1,3-5,7-30,33-36,39-46)
Updated 11:00am Dec 3
(Class cancelled on December 5, replaced by "office hours" in regular classroom)

Trig Review

On Friday August 22, August 29, and September 5, we will have a Trig Review during the Laboratory/Recitation (1:50-3:05pm SB 239). This is required for some people, who have been notified by email, and optional for everyone else. Trig homework is similarly required/optional.
Trig topics (Additional resource: Maslanka's Trig Review Handouts)
Assigned August 22
Appendix D, pA32 #1,3,5,7,9,11, 19,21, 23,25, 31,33, 45, 48*
Assigned August 29
Appendix D, pA32 #13,15, 19, 31,33
See the definition of inverse cos and inverse tan, p456-7.
Section 7.6, p461 #1,3,5,6*,7
Assigned September 5
Appendix D, pA32 #50*, 59,61,63, 65,67,69,
Section 7.6, p461 #12*,13

Maple Labs

Starting on September 12, each Friday at 1:50-3:05pm we will either have a Maple Lab in SH 237, or a Recitation in SB 239.

September 12
Start here, find "Guide and Tips", and from there follow "The Guide" (and Fasshauer's Introduction).
Then, do Lab #1. (Right click & save, etc.)
Due date updated: Tuesday Sept 16, 5pm

Although this is said in The Guide, let me repeat it here:
Do not struggle for hours by yourself without making progress. Get help.

September 26
Do Lab #2. (Right click & save, etc.)
Due date: Tuesday Sept 30, 5pm
Please submit via Digital Dropbox in Blackboard

October 10
Do Lab #3. (Right click & save, etc.)
Due: Tuesday Oct 14, 5pm
Please submit via Digital Dropbox in Blackboard

October 31
Do Lab #4, with Writing Project. (Right click & save, etc.)
Due: Thursday, Nov 6, 5pm
Please submit via Digital Dropbox in Blackboard

November 21
Do Lab #5. (Right click & save, etc.)
Due: Tuesday Nov 25, 5pm
Please submit via Digital Dropbox in Blackboard

Writing Project

Math 151 is a designated Writing/Communication-Intensive Course at IIT. To fulfill this, there will be a project assigned about midway through the semester. (More about this later.)

Updates: Exams, Friday afternoon meeting locations

There will be two exams, dates TBA. The final exam will be Monday December 8, 2:00-4:00pm.

First exam on Wednesday September 24.

Second exam on Friday October 31.
See below for second exam topics review.

Where to go on Friday afternoons will be posted here:

Topics for Second Exam

The topics in the middle section of Math 151 seems less well-organized than the first set of topics. Here I attempt to reorganize somewhat, to help you study for the second exam:
  1. Curve Sketching, which requires
  2. Optimization, which requires
  3. Mean Value Theorem
  4. Newton's Method, which requires
  5. Derivatives of Inverse functions, including
  6. Related Rates, which requires
(Also third and higher derivatives, acceleration and jerk, and of course: all previous calculus, trigonometry, etc.)