MAC 2312: Previous Assignments

MAC 2312 Honors Calculus 2

Previous Assignments

Welcome to Calc 1 and have a happy and successful 2007.
Bookmark this page and read it every evening after class (after 6 pm).
Office hours (tentative): MW 3:30-6, F 10-11; by appointment only: F 3-5.
Project 0: Ready, Set, Go! Due date: Fri, 1/12. After you finish the assigned reading (preface, syllabus, and guidelines; see below), summarize your preliminary thoughts on this course and your answers to the following open-ended questions in a short essay (a couple of paragraphs on a single page, typed with correct spelling, grammar, and style).
What is your best skill in math? What math skill of yours needs most work and improvement? How does this course appear to be different from other math classes you have had (based on the preface To Students)? What possible difficulties do you think you may encounter? How do you plan to overcome them and succeed in the course? Have you had a similar course (not necessarily in math), where critical thinking and hands-on experience were more important than memorizing formulas and following prescribed procedures? When and where?
At the end of your essay, indicate the tentative times and days of the week for the 8-12 hours a week that you have dedicated for this course (this will help me in scheduling additional office hours and review help sessions).
Read the syllabus for policies. Ask questions next class.
Browse the tentative schedule.
Read the preface To Students: How to Learn from this Book (page x in the textbook).
Review the guidelines for Success in Mathematics.
Browse the rest of the course resources.
1.1: 1-33 odd, 34, 36.
Complete the handouts Icebreakers and Corals before next class.
1.2: 1-39 odd.
Wednesday, January 10, 2007 at 17:38
Reminder: Fri, 1/12, Quiz 1 on HW 1.1 (see Current Assignment below).
Complete the handout Used Car Depreciation before next class.
1.3: 1-15 odd, 21-24, 25-53 odd, 54.
Friday, January 12, 2007 at 14:37
Reminder: Wed, 1/17, Quiz on HW 1.2, 1.4.
At the end of my previous Honors Calculus course, I asked my students to reflect on their experience in the course and to provide words of wisdom to you -- students who are about to take Calculus. Read (and heed) their advice on How to Succeed in Calculus.
Read 1.4, 1.3, 1.5
1.4: All odd.
s Wednesday, January 17, 2007 at 18:25
Use your calculator to plot sin(exp(x)) and exp(sin(x)). Describe the features of each plot. Explain why what you observe is reasonable. Which plot is periodic?
Re-read 1.5, 1.3. Play with the Shodor Function Plotter in the Resources -- it will give you better insight into 1.3.
1.5: all odd.
1.3: 1-15 odd, 21-24, 25-53 odd, 54.
Friday, January 19, 2007 at 18:14
Compare the growth of the polynomial 8x² - x⁴ + 7 to its leading term: first for -2 < x < 2, then for -10 < x < 10 (adjust y_min and y_max accordingly).
Re-read 1.6.
1.6: 1-13 odd, 14, 16, 20-23, 25, 28, 29.
Complete Worksheet 1.8 Limits at home and bring to next class for discussion
Read 1.7 and 1.8.
Monday, January 22, 2007 at 19:04
Reminder: Test 1: Mon, 1/29 on everything up to now. For detailed coverage, see the list of Test 1 sample problems (HTML).
Re-read 1.3, 1.7 and 1.8.
Complete Part 3 of Worksheet 1.8 Limits.
1.7: 1-19 odd.
1.8: 1, 3, 5, 11, 13, 17, 19, 21, 29-43 odd, 48.
Ch. 1 Review (p. 58): : 1-33 odd, 34, 35-49odd, 50, 52; CYU odd (p. 62).
Read 2.1.
Wednesday, January 24, 2007 at 11:04
I will moderate a test review session Friday, 1/26, 3-4:30 pm, in which we'll discuss requested HW problems in more detail. (We will have a regular class meeting that Friday morning.) You need to email me problems for discussion before 2 pm. Place: HC 135 (note the different room).
Read 2.1 and 2.2.
2.1: all odd.
2.2: 1-7 odd, 11-15, 17, 21, 27, 29, 33-41 odd.
Complete Worksheet 2.2 Derivatives and bring to class on Friday.
Wednesday, January 31, 2007 at 18:10
2.3: 1-15 odd, 10, 21-35 odd, 36-38, 41-43.
Read 2.4 and 2.5.
2.4: 1, 3, 4, 9. Do these before next class (Fri) and be ready to discuss your answers.
Complete Worksheet 2.2: Derivative at a Point (I placed extra copies in the box by my door) and submit it for grading on Monday. Organize your calculator results in tables on the back of the sheet. Hint for 3(b): find the "magical" number b by trial-and-error: try various b values between 2 and 3 and estimate the slope of y = b^x at x=1 in each case.
Friday, February 2, 2007 at 18:49
Midterm Test 1 statistics: average = 73, median = 72, max = 101, min = 33.
Complete Worksheet 2.5a: Derivatives (I placed extra copies in the box by my door)
2.4: 10-15 (be ready to discuss Monday).
2.5: All odd.
Monday, February 5, 2007 at 18:20
2.4: 16-20 (be ready to discuss next class).
2.6: 1, 3, 8, 9-17odd
Ch. 2 Review: 1-11 odd, 19-25 odd, 28, 31; CYU odd
Wednesday, February 7, 2007 at 15:47
3.1: 3-43 odd, 51, 53, 57-69 odd
3.2: 1-43 odd, 51-53
Plot the exponential function A^x and its derivative on the same plot. You can use (A^x+0.01 - A^x)/0.001 as an approximation to the derivative function, or use the TI-83 built-in feature nDeriv(Y1, X, X) (for more details, read Chapter 2, Math Operations, nDeriv in the TI-83 Plus Guidebook (PDF 4MB) or browse the list of guidebooks and find the one for your TI graphing calculator.)
1. Set A=2 in your calculator (2 STO A), so that you can easily change the exponent base to 3 or any other value later on;
2. Define Y₁ = A^x;
3. Define Y₂ = nDeriv(Y₁, X, X) or use your own crude approximation: Y₂ = (A^x+0.001 - A^x) / 0.001. (Note that nDeriv is more precise but much slower!)
4. Plot both functions and adjust the viewing window.
5. How can you tell which is the function and which is the derivative? (Hint: use the results in your worksheet and look at the y-intercepts)
6. How can you check if one function is a multiple of the other? (Hint: compute and plot their ratio)
7. Now set A=3 and repeat the steps above. Which is on top now? Why?
8. Now set A=2.7 and repeat. You may have to zoom in (set the window close to the y-intercept (0,1), something like xmin = -0.1, xmax = 0.1, ymin = 0.9, ymax = 1.1). Can you tell the function and its derivative apart on the graph? Why?
9. Finally set A=2.72 and repeat. Can you tell them apart now? How much zoom do you need to tell them apart?
10. Could you possibly tell them apart if you were to set A=e, that is, EXP(1) STO A? Why?
Friday, February 9, 2007 at 17:56
3.3: 1-41 odd.
Take f(x) = x and g(x) = 1/(1-x). Compute (fg)' and f'g'. Moral: Sometimes (fg)' = f'g', but this is very rare and is not true in general.
Monday, February 12, 2007 at 11:25
3.4: 1-63 odd, 71, 79, 81.
Complete tasks 1 and 2 and start working on tasks 3 and 4 on the worksheet Discovery Learning: Derivatives of sin(x) and cos(x) before next class. Bring your work to class. For more details on working with lists, read Chapters 11 and 12 in the TI-83 Plus Guidebook. (If you missed class today, you can pick up a copy of the worksheet from my box or download and print the PDF file.)
Wednesday, February 14, 2007 at 11:19
3.5: 3-47 odd
3.6: 1-27 odd, 35-45 odd, 51-53, 58-60.
Complete the worksheet Discovery Learning: Derivatives of sin(x) and cos(x) and submit it for grading on Friday, 2/16.
Project 1 consists of two unrelated (but stapled together) parts: Worksheet 2.1: and Worksheet 2.5b (extra copies are in my box). Review the Honors College Math Report Guidelines. Complete Project 1 with a partner (both partners get the same grade) and submit it for grading on the last day before Spring Break (Fri, Mar 2).
Reminder: Test 2: Wed, 2/21 on everything up to now in Chapters 2 and 3. For detailed coverage, see the list of Test 2 sample problems (HTML).
Monday, February 19, 2007 at 11:15
Worksheet 2.6 Differentiability/3.4 Practice contains even more test practice problems.
Review session Mon, 2/19, 4-5:30 pm, in HC 135. Send me questions before 3 pm (first come, first served).
3.7: 1-29 odd
Worksheet 3.4 Chain Rule/3.7 Summary is due for grading Mon, 2/26. Clarification for Problem 1 in Worksheet 3.7: Parts (c)-(e) refer to the tangent line approximation for f(x) that you obtained in part(a), namely, the tangent line at the point (2,4) -- use that line to approximate f at x = 1 (and not the tangent line at x = 1, which would defeat the purpose of the exercise) in parts (c)-(e).
Friday, February 23, 2007 at 15:07
3.9: 1, 3, 5, 9, 11, 18, 25
Monday, February 26, 2007 at 16:30
Midterm Test 2 statistics: average = 73, median = 79, max = 100, min = 37. You can pick up your exam during my office hours.
Problems 1-66 in Ch. 3 Review are good practice problems for the Gateway Test on Friday -- do as many of them as you can (but pace yourself; do about 15-20 problems every day, till Friday).
3.10: 1-9
Ch 3 Review: 84, 85, 89, 98, 101; CYU odd.
4.1: 1-27 odd, 31-45 odd
Wednesday, February 28, 2007 at 18:20
Reminder: Gateway Test Fri, Mar 2, during class. You need at least 7 correct answers (out of 8) to pass (no partial credit). See the syllabus for the Gateway Test policies.
Today I distributed a sample version of the test. Problems 1-66 in Ch. 3 Review are also good practice problems for the Gateway Test -- do as many of them as you can (but pace yourself; do about 15-20 problems every day, till Friday).
4.3: 1-21 odd, 27, 33, 35
Friday, March 9, 2007 at 12:28
4.5: 3, 5, 11, 16-19, 23, 26-29, 32x, 34.
Extra credit: 4.5:32. After your obtain your answer using Calculus, go "back to the drawing" (Fig. 4.74) and use a simple geometrical explanation for the answer.
Complete Project 1 with a partner (both partners get the same grade) and submit the final version for grading on Friday, Mar 9.
Monday, March 12, 2007 at 18:16
Complete the soda-bottle problem we started in class. Find the optimal radius, height, and surface area. Check the volume (it should be within round-off from the constant 2000 cm³). Measure a real 2-liter soda bottle (explain how you measured its radius and height). Estimate its volume (only the liquid-filled part) and surface area. How far off (percentage) is the actual surface area from the optimal value? Explain why the actual soda bottle is not surface-area-optimal.
Now repeat the problem above for a 1-gallon (231 cubic inches) ice cream tub (again, assume cylindrical shape for simplicity). How far is your answer from a real ice-cream tub? Bring your work to next class (we'll discuss it).
4.5: 3, 5, 11, 16-19, 23, 26-29, 32x, 34.
Extra credit: 4.5:32. After your obtain your answer using Calculus, go "back to the drawing" (Fig. 4.74) and use a simple geometrical explanation for the answer.
Start work on Worksheet 4.3/4.5 Optimization (submit for grading on Friday).
Complete Project 1 with a partner (both partners get the same grade) and submit the final version (stapled to the draft) for grading on Friday, Mar 9.
Wednesday, March 14, 2007 at 11:51
4.6: 1, 2, 4, 7, 8, 12, 13-27 odd
Friday, March 16, 2007 at 18:00
4.2: 1-19 odd, 23-29, 32-25.
Start work on Worksheet 4.2: Families of Functions. Submit it on Friday.
Monday, March 19, 2007 at 11:42
Reminder: Test 3: Wed, 3/28 on everything up to now in Chapters 3 and 4.
If you have not passed the Gateway exam, you can take it again on Wednesday, 3/21. Come to my office between 3:30 and 6 pm to pick up a test sheet, complete it, and return it by 6 pm.
4.7: 1-29 odd.
Set your TI-83 calculator Mode to Par(ametric plot) and plot the curve with parametric equations x=cos(t), y=sin(t) before next class. You should get a circle (why?), after you adjust the window.
Read ahead Section 4.8 before next class. Plot Example 12 on your calculator: x=cos(3t), y=sin(5t). Adjust the window.
Complete Worksheet 4.2: Families of Functions. Submit it for grading on Friday, 3/23.
Start work on Angry Mike Project 2 with a different partner (plan at least 2 meetings). The final project is due Wed, 3/28 (the day of the test), but I advise you to submit a draft much earlier.
Wednesday, March 21, 2007 at 11:32
4.8: 1-29 odd, 37
Ch.4 Review: 1-25, 27, 29, 35, 37, 45, 51, 54; all CYU.
Let me know (before 10 am Fri) what problems you wish to discuss on Friday.
Friday, March 23, 2007 at 14:22
Review session: Mon, 3/26, 4-5 pm in HC 135. Send me questions before 3:30 pm on Mon. We will have a regular class on Monday (Section 5.1).
Monday, March 26, 2007 at 11:28
5.1: 1, 3, 5, 7, 8, 9, 11, 13, 15, 16, 17-25 odd
Complete Worksheet 5.1 and submit it for grading Wed, 3/28 (the day of the test).
Friday, March 30, 2007 at 15:04
5.2: 1, 5, 7, 13, 15, 17, 19, 21, 27, 29
Monday, April 2, 2007 at 13:10
5.3: 1-7, 9, 11, 15, 17, 23, 24, 29, 30, 34
Wednesday, April 4, 2007 at 11:49
Send me problems for review (Ch. 5) before Friday class.
5.4: 1-27 odd, 31, 35-39, 42.
Ch.5 Review: 1-11 odd, 21, 27, 29, 31, 33, 35, 38, 43, 44, 46, 47, and CYU.
Monday, April 9, 2007 at 11:15
Quiz Wed: 5.3-5.4.
The make-up Test 3 is due 9:30 am on Wednesday. The policies (closed-book, calculator allowed, etc.) are stated on the test. Of course, the Honor Code applies, as always.
The weighted score of the make-up will be added to the original score. For example, if the original score was 70 and the make-up score was 90, the test score will be 70 + (0.2)90 = 88, assuming a weight of 0.2 (I will determine the weight).
6.1: 1, 3, 5, 7-13, 15, 17, 19, 23
Thursday, April 12, 2007 at 13:40
No class this Friday: attend the HC Symposium (see below).
Reminder: Test 4: Wed, 4/18 on everything up to now in Chapter 5 and 6.1-6.2.
If you have problems to discuss on Monday, send them to me before Sunday midnight.
If you have not passed the Gateway exam, you can take it again on Monday, 4/16. Come to my office between 3:30 and 6 pm to pick up a test sheet, complete it, and return it by 6 pm.
6.2: All odd
As you know, the Honors College Symposium will be held this Friday, 4/13. Attend the student talks and view the posters (check the schedule). Write a short report about 3 talks and 2 posters. Summarize the content of each in 1-2 paragraphs. Write down the questions that you asked (along with the answers) or were not able to ask. Complete your report over the weekend (while your impressions are fresh) and submit it for grading on Mon, 4/16.
Friday, April 20, 2007 at 11:55
If you have not passed the Gateway exam, you have only two more chances: Mon, 4/23, and Wed, 4/25. Come to my office between 3:30 and 6 pm to pick up a test sheet, complete it, and return it by 6 pm.
Reminder: Final Exam 4/29, Sunday, 4 – 6:30 pm in AD 204.
6.3: all odd
Review Ch.6: 1-51 odd
Monday, April 23, 2007 at 11:09
Midterm Test 3 statistics: average = 63, median = 70, max = 101, min = 27.
Midterm Test 4 statistics: average = 69, median = 78, max = 99, min = 34.
6.4: 1, 3, 5, 6, 9, 11, 15-27 odd
Review Ch.6: 1-69 odd, 70.
Reminder: Final Exam 4/29, Sunday, 4 – 6:30 pm in AD 204.
Attempt to solve again all the midterms (13 pages in PDF) in our course (without looking at your previous work and my marks).
Attempt to solve all the midterms (20 pages in PDF) given by Dr. Fitchett in her section of MAC 2311.
Send me questions for the Wednesday review.
Friday, May 4, 2007 at 13:39
Final test statistics: average = 65, median = 64, max = 103, min = 36.
If you are curious, you can stop by my office and peek in your final test (we are required to keep all finals on record).
Have a great summer!

Last Updated: Friday, May 4, 2007 at 13:39

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Eugene Belogay
mailto: ebelogay@fau.edu