Math 131, Fall 2010
Daily Assignments
NOTE THAT THIS IS AN OLD SYLLABUS
Lesson Schedule: We'll try to follow the attached schedule closely, but there may be daily adjustments as we go along. Revisit this page to stay on target. Don't rely on an initial printed copy to be accurate for the whole semester.
If at all possible, try to read the material for each day and attempt some of the problems BEFORE coming to class. Even if you don't get it all, the reading will probably make the lectures more valuable.
You may find a graphing calculator helpful in checking your work, but there aren't any problems assigned that require anything more than a simple scientific calculor (at most). If you find that you need a graphing calculator for a problem, then you may be too "calculator dependent."
Most of the material in Chapter 1 of the text should be a review from precalculus. A possible exception is Section 1.7 on "parametric equations." We will begin with Section 1.7 in Chapter 1. For the first few days, part of the reading assignment will be to review the early sections of Chapter 1. Please be sure you understand that material. Feel free to see me if you wanbt to talk about any of it.
Some links later on this page may require Adobe Acrobat Reader: if needed, you can get a free download here.
| Reading Assignments and Suggested Problems (not collected) |
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| W, 9/1 Classes Begin |
Read "To the Student" on p. xxiii Read "Preview of Calculus (pp. 3-9) -- try to follow the general ideas; don't worry much about the details. Review sections 1.1, 1.2 -- be sure these are ideas fou're familiar with. Lecture material: Section 1.7: 3, 5, 7, 13, 23, 25, 30, 31, 35, 39 |
Graphing calculators and software like Matlab, Mathematica, and Maple
have sophisticated methods for graphing parametric curves. Most
graphing calculuators can also do a decent job. While you're working
on these problems, this simple applet for sketching parametric curves might be helpful or fun to play with. Or you might like to get acquainted with the free tools at Wolfram Alpha. But you should be able to do all the exercises by hand. Also, here is an animation of generating the cycloid discussed in Section 1.7. |
| Th, 9/2 | No Discussion Section Meetings Today | |
| F,
9/3 |
Review
Section 1.3. Section 1.4 is less important but worth looking at
too. Lecture material: Section 2.1: 3, 5 Section 2.2: 1, 3, 7, 12, 13 |
| M, 9/6 |
Labor Day: No classes |
WebWork
Problem Set 1 open This set also includes a few review questions from Sections 1.1-1.6 |
| W, 9/8 |
Review sections 1.5,1.6 Lecture material: Section 2.2: 15 Section 2.3: 1, 3, 5, 7, 8 |
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| RRoemerman@stlcc.eduTh, 9/9 | First discussion sections meetings today, but no quiz Solutions for Discussion Sheet 1 | |
| F, 9/10 |
Section 2.3: 11, 15, 17, 19, 23, 29, 31 | |
| M, 9/13 |
Read Principles of Problem Solving on pp. 83-88. There is a section called Focus on Problem Solving
that applies these principles to more challenging problems at the end
of each chapter after Chapter 1. These sections are worth reading even
though the syllabus doesn't mention them below. Lecture material: Section 2.3: 33, 35, 45, 49 Section 2.4: 1, 3, 5, 7, 13, 15 |
WebWork HW Set 1 Solutions due: 5 p.m. WebWork Problem Set 2 open: 5 p.m. |
W, 9/15 Reminder: This is the last day possible to drop the course. |
Lecture material: Section 2.4: 17, 29, 33, 35, 37, 39, 43, 55 Section 2.5: 1(a,b), 3(a,b,c), 15, 17, 19 |
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Th, 9/16 | Discussion
sections meet: Quiz 1. Quiz 1 covers material up to and including
material covered on Monday, 9/13. The material could go as
far back as the preceding Monday. Of course, the material builds
up as we go along, so you might need something indirectly that cam at
anytime in the past. But I will not deliberately target material
prior to the preceding Monday. This will be the typical pattern for quiz material. Solutions for Discussion Sheet Solutions for Quiz 1 | |
| F, 9/17 |
Section 2.5: 1(c,d), 3(d,e,f), 9, 21, 23, 27, 29, 33, 35, 41, 55 | Intuitive Definitions About Limits Involving Infinity (This sheet was used as a projection in the lecture; it's mostly just a reqording of what's in the textbook, but I posted it in case you want to look at it again.) |
| M 9/20 |
Section 2.6: 3(a,b), 7, 9, 11, 13, 15, 17 29, 33, 37, 43 Derivative Interpretation Chart (used in lecture) |
WebWork HW Set 2 Solutions due: 5 p.m. WebWork Problem Set 3 open: 5 p.m. Discussion sections this week: Quiz 2 on material from Lectures/Discussion Sections up through Thursday, 9/16. But nothing on vertical/horizontal asymptotes this week (fSec 2.5) since I got a little behind in the lectures. WebWork Set 2 Solutions Deadline at 5 pm. |
W 9/22 Reminder: Exam 1 tonight, 6:30-8:30 pm. Check the main page of the syllabus for link to find your room and seating for the exam. Covers all material assigned or discussed in class up through Friday 9/15 (Section 2.5) |
Section 2.6: 29, 33, 37, 43 Section 2.7: 1, 3, 5, 9, 13, 20, 21,27 Derivative Example: Temperature Function (used in this lecture) |
Graphing and Zooming Applet used in class Exam 1 Solutions |
| Th 9/23 | Discussion Sections Meet: No Quiz Solutions for Discussion Sheet | |
| F
9/24 |
Section 2.7: 29, 33, 35, 43 Section 2.8: 1, 3, 5, 7, 9, 12, 13 |
Practice: matching functions with their derivatives Plotting f and f' for comparison You can get an infinite amount of practice and have some fun plotting functions and their derivatives with this applet. |
| M 9/27 |
Section 2.8: 15, 23, 29, 31 Population Curves: from lecture Position, Velocity and Acceleration: from lecture |
WebWork HW Set 3 Solutions due: 5 p.m. WebWork Problem Set 4 open: 5 p.m. |
| W 9/29 |
Section 3.1: 1,3, 5, 7, 9, 11, 13, 17, 19, 41, 45, 47, 51 Graph Practice Problem used in lecture |
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| Th 9/30 | Discussion Sections Meet: Quiz 2 Quiz 2 focuses on Sections 2.6 - 2.8 in the textbook. Solutions for Quiz 2 Solutions for Discussion Sheet | |
| F
10/1 |
Section 3.2: 1,
2, 3, 7, 9, 19, 21, 27, 31, 33(a), 41 Example of meaning of the product rule (from the lecture) |
| M
10/4 |
Section 3.3: 1, 3, 5, 9, 15, 20, 29, 35, 37, 39 Tables and Graphs for sin(x)/x used in the lecture |
WebWork HW Set 4 Solutions due: 5 p.m. WebWork Problem Set 5 open: 5 p.m. |
| W
10/6 |
Section 3.4: 1, 5, 7, 9, 13, 19, 21, 23, 29, 39, 41, 49 | |
| Th 10/7 | Discussion Sections Meet: Quiz 3 Quiz 3 focuses on material from Sections 3.1 - 3.3 Solutions for Quiz 3 Solutions for Discussion Sheet | |
| F
10/8 |
Section 3.4: 51, 55, 79, 85(a,b) Parametric Example used in lecture Section 3.5: 1, 3, 7, 9, 13, 19, 25, 27, 29, 39 |
M 10/11 |
Section 3.5: 41, 43, 49, 53 Implicit Differentiation Example used in lecture Section 3.6: 1, 7, 9, 11 |
WebWork HW Set 5 Solutions due: 5 p.m. No new WebWork this week because of fall break. WebWork HW 6 will open on Monday, 10/18 |
| W
10/13 |
Section 3.6: 17, 19, 23, 29, 31, 33, 47, 39 Summary and Graphs for arcsin, arccos, arctan Section 3.7 in the text (for 10/18) involves a lot of logarithms. For those who might need some brushing up, look at Review Sheet for Inverses, Exponentials and Logarithms |
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| Th 10/14 | Discussion Sections Meet: Quiz 4 Quiz 4 focuses on material from Sections 3.4 and 3.5 Solutions for Quiz 4 Solutions for Discussion Sheet | |
| F
10/15 |
FALL BREAK: NO CLASSES |
| M
10/18 |
Section 3.7: 1, 3, 5,
7, 13, 17, 25 Logarithmic Differentiation Example used in the lecture This short Table of Derivatives might be a handy reference guide summarizing all our differentiation formulas in one place. |
WebWork Problem Set 6 available Since no WebWorK is due today, HW 6 will open early at 8 a.m. The due date for HW 6 is still 5 p.m. next Monday. |
| W
10/20 Reminder: Exam 2 tonight, 6:30-8:30 pm. Check the main page of the syllabus for link to find your room and seating for the exam. |
Section 3.7: 27, 29, 35, 37 Section 3.8: 5, 9, 11, 15, 18 Motion Example Sheet used in the lecture |
Exam 2 Solutions |
| Th 10/21 | Discussion Sections Meet: No Quiz Solutions for Discussion Sheet | |
| F
10/22 |
Section
3.8: 23, 29, 31, 35 Be sure to read the material on p. 236-237 that comes after Example 8. Section 3.9: 1, 3, 5, 7, 17, 19, 35 Differentials Save the Day! |
| M 10/25 |
Linear Approximation and Differentials Examples used in lecture Section 3.9: 31, 33, 35 Test yourself by going over the true/false questions on p. 248 |
WebWork HW Set 6 Solutions due: 5 p.m. WebWork Problem Set 7 open: 5 p.m. Discussion sections this week: Quiz 5 on material assigned for 10/11 through 10/18, or on last week's discussion section sheet. |
| W
10/27 |
Section 4.1: 1,3,5,13,15,17 (more problems fro 4.1 will be suggested each day for the next few days.) | |
| Th 10/28 | Discussion Sections Meet: Quiz 5 Quiz 5 focuses on Sections 3.7, 3.8, 3.9 Solutions for Discussion Sheet Solutions for Quiz 5 | |
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Section 4.1: 21, 33, 37 Section 4.2: 1, 3, 5, 7, 11, 13, 21, 23, 29, 31 Local Max/Min Sheet: Definitions and Graph used in lecture |
| M
11/1 |
Section 4.1: 37 Section 4.2: 33, 37, 41, 47, 49, 53, 65 Section 4.3: 1, 3, 5, 6 |
Derivative Link at Wolfram Alpha You might find this link interesting for checking your work: it calculates the derivative and simultaneously graphs the derivative. Don't use it to avoid the work of learning to differentiate quickly and accurately by hand: the link won't be available at quiz or exam time. WebWork HW Set 7 Solutions due: 5 p.m. WebWork Problem Set 8 open: 5 p.m. Discussion sections this week: Quiz 6 on material assigned for 10/18 through 10/25, or on last week's discussion section sheet. Several people had trouble with HW7 #11: here's a written solution (using the numbers in my version of the problem) |
| Tu, 11/2 | ELECTION DAY: IF YOU ARE A REGISTERED VOTER, PLEASE VOTE! |
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| W 11/3 |
Section 4.3: 7, 13, 23, 39, 49, 59 Mean Value Theorem Sheet used in lecture Summary Information About Derivatives and Shapes of Curves |
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| Th 11/4 | Discussion Sections Meet: Quiz 6 Quiz 6 focuses on Sections 4.1 (related rates) and 4.2 (max/min values). Solutions for Quiz 6 Solutions for Discussion Sheet | |
| F
11/5 |
Section 4.3: 31, 51 (see p. 203) Suggested Curve Sketching Outline (Skip Section 4.4) Additional Curve Sketching Example (not used in lecture) L'Hopital's Rule Section 4.5: 5, 7, 10, 11, 15, 17, 21 |
| M 11/8 | Section 4.5: 23, 27, 31, 33, 35, 43, 47 (omit the graphing part unless you have a graphing calculator) |
WebWork HW Set 8 Solutions due: 5 p.m. WebWork Problem Set 9 open: 5 p.m. Discussion sections this week: Quiz 7 on material assigned for 10/25 through 11/1, or on last week's discussion section sheet. |
| W 11/10 | Section 4.5: 51, 54 Section 4.6: 3, 5, 7, 11 |
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| Th 11/11 | Discussion Sections Meet: Quiz 7 Solutions for Quiz 7 Solutions for Discussion Sheet | |
| F
11/12 |
Section
4.6: 15, 23, 25, 27 (Additional optimization problems from Section 4.6 will be suggested for the next few days.) |
| M
11/15 |
Section 4.6: 29 Skip Section 4.7 Section 4.8: 1, 3, 5, 11, 13, 27, 31, 39 Practice Sheet on Antiderivatives (used in lecture) |
WebWork HW Set 9 Solutions due: 5 p.m.. WebWork Problem Set 10 open: 5 p.m. |
| W
11/17 Reminder: Exam 3 tonight, 6:30-8:30 pm. Check the main page of the syllabus for link to find your room and seating for the exam. |
Section 4.6: 39 Section 4.8: 43, 51, 53 Section 5.1: 1, 3, 5, 11, 15 Extra reading about "sigma notation" is available in Appendix F of the textbook. Applet Demonstrating Riemann Sums (used in lectures for Section 5.1) Sums of Powers of the first n natural numbers Area Example |
Exam 3 Solutions |
| Th 11/18 | Discussion Sections Meet: No Quiz | |
| F
11/19 Reminder: his the last day to withdraw from the course except on the recommendation of the Student Health Service |
Section
5.1: 17, 21 Section 5.2: 1, 5, 7, 11, 17 Sheet illustrating Riemann Sums Left and Right Sums |
| M 11/22 | Section 5.2: 19, 21, 31, 33 |
WebWork HW Set 10 Solutions due: 5 p.m. No new WebWork this week because of Thanksgiving Break. Webwork HW 11 will open on Monday, 11/29 No discussion section meetings this week |
| W
11/24 - F 11/26 |
Thanksgiving
Break No Class or Discussion Sections |
| M
11/29 |
Section 5.2: 35, 37, 39, 43, 47 Velocity and Displacement Integrals and their Properties (used in lecture) |
WebWork
Problem Set 11 available |
| W
12/1 |
Section 5.3: 3, 7, 11, 15, 21, 25, 31, 37, 39, | |
| Th 12/2 | Discussion Sections Meet: Quiz 8 Quiz 8 focuses on material from section 4.8 (antiderivatives), section 5.1 and parts of 5.2 (the definition of the integral, left, right, midpoint Riemann sums, interpretation of integral as area or as displacement). Solutions for Quiz 8 Solutions for Discussion Sheet | |
| F
12/3 |
Section 5.3: 43, 45, 47, 51, 53, 61, 65 |
Why is the Fundamental Theorem (Part II, the Evaluation Theorem) True? |
| M
12/6 |
Section 5.4: 3, 5, 7, 11, 13, 17, 19, 21 Applet to illustrate the Fundamental Theorem of Calculus, Part I |
WebWork HW Set 11 Solutions due: 5 p.m. No more WebWork Assignments Quiz 9 focuses on material in Sections 5.2-5.3-5.4 (so far as covered on Monday, 12/6). |
| W 12/8 | Section 5.5: 1, 3, 5, 7, 13, 17, 27 Re-read "Preview of Calculus" (pp. 3-9) Some of this should be much clearer that it was on Day 1. Practice Differentiation Problems Using FTC Part I | Why is the Fundamental Theorem (Part I) True? |
| Th 12/9 | Discussion Sections Meet: Quiz 9 Quiz 9 focuses on material in Sections 5.2-5.3-5.4. This includes the two parts of the Fundamental Theorem of Calculus. Solutions for Quiz 9 Solutions for Discussion Sheet | |
| F
12/10 Last Lecture | Section 5.5: 29, 41, 47, 59, 63 |
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FRIDAY, DECEMBER 17, 2010, 10:30-12:30 Exam 4 (Final Exam) Solutions |