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

[Updates: Exams, Friday afternoon meeting locations]

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:

- More specific tips on How To Study Math: In a nutshell, sleep enough, and start everything ASAP! (What's interesting is that there are reasons particular to mathematics that one should heed this common sense advice.)
- More specific tips on
__How To Read Mathematics__[1] [2]: In a nutshell, it's not supposed to be like reading a novel — it's completely normal for it go very (very) slowly. - More on Things Not To Do, inspired by things I've seen students do.

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

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 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

**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

**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:

- Aug 22: Optional/Required Trig Review, in SB 239
- Aug 29: Optional/Required Trig Review, in SB 239
- Sept 5: Optional/Required Trig Review, in SB 239
- Sept 12: Maple Lab, in SH 237 (required)
- Sept 19: Recitation/Exam Review, in SB 239 (required)
- Sept 26: Maple Lab, in SH 237 (required)
- Oct 3: Recitation, in SB 239 (required)
- Oct 10: Maple Lab, in SH 237 (required)
- Oct 17: No class, Fall Break!
- Oct 24: Recitation, in SB 239 (required)
- Oct 31: Maple Lab, in SH 237 (required)
- Nov 7: Recitation, in SB 239 (required)
- Nov 14: Recitation, in SB 239 (required)
- Nov 21: Maple Lab, in SH 237 (required)
- Nov 28: No class, Thanksgiving!
- Dec 5: Optional Office Hours (w/Maple), in SB 237

- Curve Sketching, which requires
- critical numbers, increase/decrease, local max/min
- second derivative, concavity, inflection points
- limits at infinity/horizontal asymptotes

- Optimization, which requires
- global max/min, closed interval method (and XVT)

- Mean Value Theorem
- Newton's Method, which requires
- Linear Approximation

- Derivatives of Inverse functions, including
- domain and derivative of arcsin, arccos, arctan
- (requires implicit differentiation, but you probably won't need this)

- Related Rates, which requires
- Implicit Differentiation