Welcome to Integral Calculus!
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9/9: These are due on 9/11 at the beginning of class unless otherwise noted. Exercises in red cannot be collected, but are just as important as the exercises in black.
- Log into the Blackboard site for this course. (Yes, this is part of your assignment!) If you were not automatically enrolled, enroll in the course. If you have any trouble, view this page through Internet Explorer. Please do this before our next class! There is also an announcement on the Blackboard site about turnitin.com. Please read it and follow directions.
- Read the course introduction handout carefully.
- Know the area formulas given in class, and be able to use them.
- From page 17 of SM, do exercises 7, 8, 11, 12, 23, 24, 48.
- Do exercise 2 in the notes (the handout I gave you in class today).
9/10: These are due on 9/14.
- Review derivatives. The basics are found in Sections 2.3-2.7. Practice doing product rules, quotient rules, and chain rules. Nothing to turn in for this exercise.
- Page 236 in SM: 9, 11, 23-47 odd.
- On a separate sheet of paper, from page 236 in SM: 12 (not the one in the true-false section!), 26, 32, 40, 44. Please do not staple these even numbered exercises to the odd numbered exercises!
9/11: These are due on 9/16.
- Read Section 4.1. I assume that you've seen this already and that this is review.
- Section 4.1 in SM: 5-33 odd, 39, 41.
- On a separate sheet of paper, from Section 4.1 in SM: 8, 14, 20, 28, 30, 32, 34.
9/14: Due 9/17.
- Review derivatives and antiderivatives. Some of you need more review than others! We have a quiz on Thursday covering the material from 9/9, 9/10, 9/11, and today.
- Read Section 4.2.
- Do exercise 3 from page 11 of the notes. No antiderivatives are permitted or necessary on this assignment!
9/16: Due 9/18.
- Section 4.2 in SM: 1, 3, 5, 11, 13, 19, 21, 27, 29.
9/17: Quiz 1 over the material covered on 9/9, 9/10, 9/11, and 9/14. Quizzes will usually take 15-30 minutes, but this one may be a bit longer.
These exercises are due 9/21. No antiderivatives are permitted or necessary on this assignment!
- Read Section 4.3 in SM.
- From Section 4.3 in SM: 3a using right endpoints, 4a using right endpoints, 7c, 10c, 15, 19, 20, 21, 23ac, 25ac.
9/18: Due 9/23. The Mathematica file for today.
- Read Section 4.4 in SM.
- From Section 4.4 in SM: 5, 7, 8, 25-28 all (note that you do not need to evaluate the integrals in 25-28!), 35, 47, 48. Do 5, 7, and 8 in detail, neatly, and show your work! For 35, 47 and 48, you may not use antiderivatives, but you do not have to use Riemann sums - use geometry!
Week 3
9/21: Due 9/25. Note the change in policy!
- Read Section 4.5 in SM.
- Section 4.5 in SM: 1-19 odd (using the mean value theorem or a one rectangle approximation rather than Riemann sums to estimate when needed)
- Section 4.5 in SM: 21-26 all, 27-32 all, 35, 39, 40, 45, 53, 57. For 21-26, a very crude approximation using a Riemann sum (one or two rectangles) is fine.
9/23: Last day to add or drop a class! Due 9/28.
- Read Section 4.6 in SM.
- Section 4.6 in SM: 1-4 all, 5-29 odd.
9/24: Quiz 2 over the material covered on 9/14, 9/16, 9/17, 9/18.
No additional homework assignment today, but keep that Mathematica Exercises sheet handy! I will be assigning problems from it over the next few days.
9/25: Due 9/30.
- Section 4.6 in SM: 31-39 odd, 41-44 all. You may use a very crude (2 rectangle) estimate if you need to do so.
- Read Section 4.7 in SM.
- Section 4.7 in SM: 1, 3, 29-35 odd. You do not need to use the Midpoint Rule on any of these - just use the Trapezoidal Rule and Simpson's Rule.
- Section 4.7 of SM using the Mathematica file: 7, 9, 10, 12. You will probably need to do these in the MathLab, Straz 225 unless you have Mathematica installed on your computer.
To download today's Mathematica file, click here. Turn in the homework from Section 4.7 via e-mail before class on Wednesday, September 30. You can use text cells in Mathematica to do problems 1, 3, and 29-35 odd. Why not use Mathematica to do the computation as well, and explain what you did in a text cell?
- NOTE: Some people have had trouble e-mailing Mathematica files. Seems to be a computer-specific problem - one machine won't attach Mathematica files, the one next to it will. If this happens to you, here are a couple of things that have worked for some people.
- Try a different browser. If you're using Firefox, use Internet Explorer.
- Try a different computer - the one next door might e-mail Mathematica files just fine.
- Save your file on a flashdrive or someplace safe, restart the computer (this will erase your file if you just save it on a computer in the mathlab - remember what I told you in class about DeepFreeze), then try e-mailing the file to me.
- You can also submit the file through the digital dropbox in Blackboard. Make sure you hit "Send", not "Add". Add just saves the file, but doesn't give me access.
9/28: Due 10/2.
- Read Section 4.8 in SM.
- Section 4.8 in SM: 5, 9, 13-29 odd. Show your work!
- From the sheet of Mathematica exercises , do exercises 1 and 2. (Nothing to turn in for these.)
- From the sheet of Mathematica exercises , do exercises 3 and 4. Do all of your work in a Mathematica file and submit the file via e-mail.
9/30: Due 10/5.
- Read Section 5.1 in SM. Section 5.1 in SM: 1-27 odd.
- From the sheet of Mathematica exercises , do exercises 5 and 6. Do all of your work in a Mathematica file and submit the file via e-mail.
10/1: Quiz 3 over the material covered on 9/21, 9/23, and 9/25. No Mathematica code will be on the quiz, but you do have to know the formulas for the Trapezoid Rule and Simpson's Rule.
Your first writing assignment. (Read over the writing guidelines given at the link above before you start writing.)
10/2: Due 10/9. Today's Mathematica File
- Read Section 5.2 in SM.
- Section 5.2 in SM: 1-4 all, 9, 13, 15.
10/5: Due 10/12.
- Section 5.2 in SM: 17, 19, 20, 27, 31.
10/7: Study for the exam. No additional assignment.
10/8: Exam 1 over the material covered from 9/9-9/30.
10/9: Due 10/14.
- Read Section 5.3 in SM. Section 5.3 in SM: 9, 11, 13, 17, 19, 27
Week 6
10/12: Due 10/16 - No additional assignment today.
10/14: Due 10/19
- Read Section 5.4 in SM.
- Section 5.4 in SM: 5, 9, 11, 12, 15, 23, 27, 37, 39, 47.
10/15: Quiz 4 over the material covered on 9/30, 10/2, 10/5 and 10/9.
- Read Section 6.1 in SM. Be sure to read Example 1.5.
- Section 6.1 in SM, various problems will be assigned. These problems will be collected as outlined below!
10/16: Due 10/21
- Do exercises 2-6 on pages 47-48 of the notes.
- From Section 6.1, turn in problems 2, 6, 8, 23, 24.
10/19: Due 10/23
- Read Section 5.7 in SM. (No written exercises from 5.7 assigned today.)
- From Section 6.1, turn in problems 41-46 odd and even. (Remember that these do not involve the techniques we learned today.)
10/21: Due 10/26
- From Section 5.7 in SM: 1, 5, 6, 9, 15, 17, 19, 21, 23, 31, 38. Hint: You will need to approximate some of the integrals in these problems.
10/22: CLASS WILL BEGIN AT 8:30 TODAY! Quiz 5 over the material covered on 10/3, 10/5, 10/9, and 10/14.
- Revise your first writing assignment. The final version is due before class on 10/29 via turnitin.com.
10/23: Due 10/28
- Read Section 6.2 in SM.
- Section 6.2 in SM: 1-25 every fourth problem, 29, 31, 33.
- Section 6.2 in SM: 53-57 odd using the ladder approach.
10/26: Due 10/30
- Read Section 6.3 in SM
- Section 6.3 in SM: 1, 5, 9, 11 (try u=tanx), 15 (try u=cos x).
- From Sectoin 6.1, do problems 4, 14, 18, 20, 27.
10/28: Due 11/2
- Read Section 6.3 in SM
- Section 6.3 in SM: 19 (try x=2sinu), 23 (try x=2secu), 24 (You can do this! You can use x=2secu, but I don't advise it.), 25 (try x=3tanu), 29 (You can do this one).
- From Section 6.1, do problems 10, 12, 16, 28, 32.
10/29: CLASS WILL BEGIN AT 8:30 TODAY! Quiz 5 over the material covered on 10/15, 10/16, 10/19, and 10/21.
10/30: Last day to drop a course with a W. Due 11/6
- Read Section 6.4 in SM.
- Section 6.4 in SM: 1, 3, 5, 7, 11, 19.
11/2: Due 11/9
- Read Section 6.5 in SM.
- Do the exercises in the notes.
11/4: Study for the exam.
11/5: Exam 2 over the material from 9/30-11/2.
11/6: Due 11/11.
- Read Section 6.6 in SM.
- Section 6.6 in SM: 1-6 all, 9, 10, 17, 21.
11/9: Due 11/13
- Section 6.6 in SM: 7, 8, 15, 16, 29.
11/11: Due 11/16 Today's Mathematica File
- Read Section 8.1 in SM.
- From Section 8.1 in SM, problems 1-4 all, 11-14 all.
11/12: CLASS WILL BEGIN AT 8:30 TODAY! Quiz 7 over the material covered on 11/2 and 11/6. Your next writing assignment will be given today. Submit your final draft through turnitin.com. You can work in teams of two on this assignment, or you can work alone. Please turn in one paper per team. One hint: Simpson's Rule might be helpful.
11/13: Due 11/18
- From Section 8.1 in SM, problems 17-21 odd, 29, 31, 43.
For those of you who are interested in a structured review for the final exam, I will include recommended review assignments along with our regular homework. These optional assignments will appear in green, and will not be collected. If you follow these guidelines, you will review most of the material in the course by the time of the cumulative final exam.
Begin by reviewing derivatives and basic integration. Start with 23-46 odd at the end of Chapter 2 (page 236), and Section 4.1. This would also be a good time to review Section 6.5 on tables. Know what information is on the sheet!
I recommend re-reading the sections, re-reading your notes, and re-doing most if not all of the homework.
11/16: Due 11/20 Today's Mathematica file.
- Read Section 8.2 in SM.
- From Section 8.2 in SM, problems 1-21 odd, 23-26 all
Review Section 4.5 and 4.6 on the basics of the Fundamental Theorem of Calculus and substitution. I recommend re-reading the sections, re-reading your notes, and re-doing most if not all of the homework.
11/18: Due 11/30 Here is what I want to see on limits.
- Read Section 8.3 in SM.
- From Section 8.3 in SM: 1-33 odd.
Review Section 6.2, integration by parts. I recommend re-reading the section, re-reading your notes, and re-doing most if not all of the homework.
11/19: Class will begin at 8:30 today. Quiz 8 over the material covered on 11/9, 11/11, and 11/13.
11/20: Due 12/2
- Read Section 8.4 in SM.
- From Section 8.4 in SM: 1-23 odd.
Review Section 5.1 on the area between two curves. I recommend re-reading the section, re-reading your notes, and re-doing most if not all of the homework.
Have a great break!
Week 12
11/30: Due 12/4
- Read Section 8.5 in SM.
- Section 8.5 in SM, problems 1-37 odd.
Review Section 4.7 on numerical methods. Those can be quite useful! I recommend re-reading the section, re-reading your notes, and re-doing most if not all of the homework.
12/2: Due 12/7
- Read Section 8.6 in SM.
- Section 8.6 in SM: problems 1-4 all, 5-8 all, 9, 15, 17, 21, 23, 27, 31 (see exercise 3), 39.
Review integrals of special functions, including Sections 6.1, 4.8, 6.4. I recommend re-reading the sections, re-reading your notes, and re-doing most if not all of the homework.
12/3: Quiz 9 over the material covered on 11/16, 11/18, 11/20.
12/4: This homework will not be collected.
- Read Section 8.7 in SM.
- Re-read the class notes, and the notes you took during class.
- Section 8.7 in SM: 3, 4, 6, 11, 13, 15, 29, 31, 33-38 all.
Review Section 6.6 on improper integrals. I recommend re-reading the section, re-reading your notes, and re-doing most if not all of the homework. Over break, you should also look through the material not covered in these review assignments.
12/7: This homework will not be collected.
- Read Section 8.8 in SM.
- Section 8.8 in SM: 1-17 odd.
Review 5.2-5.4 on solids and surfaces of revolution. I recommend re-reading the sections, re-reading your notes, and re-doing most if not all of the homework.
12/9: Study for the exam.
12/10: Exam 3 The third exam will cover the material from 11/6-12/7.
Review Section 5.7 on probability. I recommend re-reading the section, re-reading your notes, and re-doing most if not all of the homework.
12/11: This homework will not be collected.
- Read Section 8.9 in SM.
- Section 8.9 in SM: 5, 7, 8, 17.
Review all of chapter 8, including sequences, series with know sums, and series convergence tests.
12/14: Review for the final.
Finals
Our final exam is on Thursday, December 17, at 8:00am. It is cumulative, meaning that it covers the entire course. Actually, you can start as early as 7:30 am.