| Calculus I, Spring 2022 |
| 1 | Wed, 2 Feb |
Download the course syllabus. Paul's Online Notes is a useful website which includes a review of everything you need for Calculus I. If you find you've forgotten some things (like trigonometric identities or laws of logarithms), you can look at several worked-out examples here. Spend about one hour today and one hour tomorrow with the diagnostic tests which are just before Chapter 1 in the book. Skim the questions, and don't spend a lot of time redoing questions you know you can do. Focus on things you have forgotten, and use Paul's Online Notes if needed. If you find some other video or website which you find particularly helpful, please post it to the Forum on Moodle. |
| 2 | Fri, 4 Feb |
Today, we covered part of Section 2.1, up to (but not including) Example 2 on p. 76. You can review this in the text if you want.
Homework: Study Example 2 on p. 76. When an Example is given to study, it means that Example may appear on a Homework Quiz. Also, problems #1, 3, 8, 9, 15.
Answer to #8: (a) $-\dfrac1{2a\sqrt a}$ or $-\dfrac12a^{-3/2}$ (alternate form), (b) $y=-\dfrac12x+\dfrac32,$ $y=-\dfrac1{16}x+\dfrac34,$ (c) go to desmos.com and type in the original function, and the equations of the tangent line. The lines should appear visually tangent. This is a great way to check your work! |
| 3 | Mon, 7 Feb |
Here is the Recap from today's class.
Study Example 1 on p. 24. You will need this for the first homework problem. Homework: Problems #1, 5, 7, 9, 15, and 17 in Section 1.3, p. 33. |
4 | Wed, 9 Feb |
Here is the Recap from today's class. There is a Homework Quiz on Friday on Sections 2.1 and 1.3. Remember, you may bring your notebook to the quiz! Calculators, phones, and laptops are not allowed. Study Example 8 on p. 40. You will need this for one of the homework problems. Homework: Problems #11, 15, 23, 25, 45, 49, and 51 in Section 1.4, p. 44. |
| 5 | Fri, 11 Feb |
For homework, review the unit circle. For each multiple of 30 degrees; that is, 0, 30, 60, 90, 120, etc., you should be able to calculate the sine, cosine, and tangent relatively quickly. You should also be able to do this if the angles are given in radian measure instead of degrees. Problems: Section 1.1, p. 9, #25, 27; Section 1.2, p. 22, #19, 37, 41, 43. These are review problems which you will need to understand for class next week. Download a blank copy of today's quiz. |
| 6 | Mon, 14 Feb |
Here is the Recap from today's class. For Homework, go back over your notebook. For those problems which you found especially difficult, find another one in the book which looks similar, and try to work it out. Doing well in calculus takes practice, which means doing more problems if you feel you need to. There is no magic number of problems to do; everyone learns calculus differently. |
| 7 | Wed, 16 Feb |
Here is the Recap from today's class. Here are solutions to Homework Quiz 1. There will be a Homework Quiz Friday on the homework from Day 4 and Day 5. If your percentage score is higher than your first Homework Quiz, it will count for both quizzes. Homework for Monday: Section 1.5, p. 54: #5, 7, 9, 17, 29, 31, 39, 41. |
| 8 | Fri, 18 Feb |
Here is the Recap from today's class. See the homework assignment for Day 7. For the Exam on March 4, you may use a note card (I will give you one next week). Also, you may use a scientific, non-graphing calculator. Here is a link to a page on amazon.com with several options in the $10 range. Download a blank copy of today's quiz. |
| 9 | Mon, 21 Feb |
Study Example 6 in Section 1.6 on p. 62. This will be helpful with one of the homework problems. Homework: Section 1.6, p. 67, #1, 15, 17, 19, 21, 25, 35. |
| 10 | Wed, 23 Feb |
Download solutions to last Friday's quiz. See the Recap from Day 3. There will be a Homework Quiz on Friday on the homework from Days 7, 8, and 9. Homework: Section 2.2, p. 92: #3, 19, 21, 23, 25, 39, 41. |
| 11 | Fri, 25 Feb |
Here is the Recap from today's class. Download a Practice Exam for Exam 1. Most (not necessarily all) of the questions will be different than the Practice Exam, but there will be approximately one question from each section of the book, and three concept questions to choose from. Recall that you may use a note card and bring a scientific, non-graphing calculator. You will be given a question sheet and blank paper to write your answers on. Homework: Study Example 9 on p. 102. Problems: Section 2.3, p. 105: #7, 9, 11, 19, 21, 29, 45, 49. |
| 12 | Mon, 28 Feb |
Here is the Recap from today's class. Study Example 2 on p. 108. Homework: Section 2.4, p. 112, #1, 3, 5, 9, 11, 21, 29, 37, 41. Wednesday will be an in-class review for Exam I. We will go over today's homework, last Friday's Homework Quiz, and the Practice Exam. With time left over, we will look at any other questions you might have. For the Exam, you may bring the note card I gave you with hand-written notes on front and back. You may also bring a scientific, non-graphing calculator. Remember, I now have an office hour on Tuesday from 5:00—6:00 in MPC 215. |
| 13 | Wed, 2 Mar |
Download solutions to last Friday's quiz. Download solutions to the Practice Exam. Grades are posted on Moodle. Please check that your scores are accurate. If your score on Homework Quiz 1 was higher than Quiz 2, your score was adjusted to be out of 20 points (instead of 17). Remember that I have an Office Hour by the pond before the Exam on Friday. |
| 14 | Fri, 4 Mar |
Exam I is today! Download the assignment on function composition for Monday. |
| 15 | Mon, 7 Mar |
Homework: Section 2.5, p. 120: #7, 9, 11, 13, 15, 25, 27, and 51.
Remember, I now have an office hour on Tuesday from 5:00—6:00 in MPC 215. |
| 16 | Wed, 9 Mar |
Download solutions to Exam 1. Homework: Review logarithms as necessary at Paul's Online Notes. Problems: Section 3.2, p. 162: #43, 45, 47, 49, 51, and 53. Your Homework Quiz on Friday will be on the homework from Day 14 and Day 15. |
| 17 | Fri, 11 Mar |
Here is the Recap from today's class. Homework: Review exponential functions as necessary at Paul's Online Notes. Problems: Section 3.1, p. 150: #3, 5, 7, 9, 11, 13, 17. |
| 18 | Mon, 14 Mar |
Please remember to email me a photo of your exam grade. Here is the Recap from today's class. Homework: Section 3.3, p. 169, #1, 5, 7, 21, 25, 27, 43. Remember, I now have an office hour on Tuesday from 5:00—6:00 in MPC 215. |
| 19 | Wed, 16 Mar |
Please remember to email me a photo of your exam grade ASAP. Midterm grades are due Friday! Here is the Recap from today's class. Homework: Section 3.3, p. 170, #53, 57; Section 2.6, p. 127, #3, 5, 7, 9, 15, 19. The Homework Quiz on Friday will be over the homework from Days 16, 17, and 18. |
| 20 | Fri, 18 Mar | Have a great Spring Break! |
| 21 | Mon, 28 Mar |
Homework: p. 33, #3; p. 44, #13; p. 54, #3; p. 68, #13; p. 81, #11; p. 93, #23; p. 105, #23; p. 112, #13; p. 120, #23; p. 127, #13; p. 169, #3; p. 170, #23.
Remember, I now have an office hour on Tuesday from 5:00—6:00 in MPC 215. |
| 22 | Wed, 30 Mar |
Homework: Section 3.5, p. 183, #1, #3, #5, #17, #19, #21, #27, #35.
The homework quiz on Friday is based on your previous quizzes and Monday's homework. There will be two questions from the first four quizzes, and three questions from Monday's homework. Homework Quiz 5 will be returned on Friday. Grades are posted on Moodle. |
| 23 | Fri, 1 Apr |
Download solutions to last Friday's quiz. See the Recap from Day 6. Homework: Section 3.7, p.197, #1, #3, #7, #9, #11, #13, #15, #21. |
| 24 | Mon, 4 Apr |
Recall that Friday, April 8, is the last day to withdraw from class with a W grade. Examples 1, 2, 3, and 4 on page 193 are good examples to study. Homework: p. 197, #5, #17, #23, #25, #29. The Homework Quiz on Friday will be on the homework from Days 22, 23, and 24. Remember, I now have an office hour on Tuesday from 5:00—6:00 in MPC 215. |
| 25 | Wed, 6 Apr | Homework: Section 4.1, p. 208: #7, #13, #25, #33, #35; Study Example 1 on p. 217; Section 4.3, p. 222, #1, #5, #9. |
| 26 | Fri, 8 Apr |
Download solutions to last Friday's quiz. Here is the Recap from yesterday's class (my class notes). Here are practice Concept Questions for next week's exam. Homework: Section 4.1, p. 209: #37, #39, #43, #49. Example 6 on p. 207 is a good example to study. I will now hold an Office Hour on Thursdays at 11:30 in MPC 215. |
| 27 | Mon, 11 Apr |
Here is today's Recap. Examples 1 and 5 in Section 4.3 are good to study. Homework: Section 4.3, p. 223: #27, #33 (use Wolfram Alpha to calculate derivatives), #35. Use Desmos to help you visualize the problems. Remember we have an in-class review on Wednesday for Friday's exam. We will go over the practice Concept Questions. Bring your own questions! |
| 28 | Wed, 13 Apr |
Here is today's Recap. Download solutions to last Friday's quiz. Remember to bring a working scientific, non-graphing calculator for Friday's exam. And your hand-written note card! One of the Concept Questions will be on implicit differentiation. So implicit differentiation is not on the skills part of the exam. Questions about graphs (local maximum, increasing, concavity, etc.) will be broken up into four separate questions. This is because if you make a mistake, say, on finding the first derivative, the rest of the problem will be incorrect. To avoid this, these ideas are broken down into separate questions. Here are some T/F practice problems. Spoiler alert: questions are on the first page, and answers are on the second page. |
| 29 | Fri, 15 Apr | Exam II. Download. |
| 30 | Mon, 18 Apr |
There will be no Homework Quiz on Friday. Homework: Section 4.4, p. 230: #1, 9. |
| 31 | Wed, 20 Apr |
Homework: Section 4.4, p. 230, #3; Section 4.5, p. 238, #3, #7. Remember that office hours are from 10:30 to 11:30 in MPC 226 tomorrow. |
| 32 | Fri, 22 Apr |
Homework: Section 4.5, #1, #5, #15. Download solutions to the Skills questions on Exam 2. For Exam 2, you may increase your score by 10 points or take a make-up exam next Friday if you hand in the following assignment on Wednesday: for each question you did not receive full points for, a) explain your mistake in approaching the problem, b) explain, to the extent possible, why you thought you made your miskake, and c) what approach you would have taken to get full points. So if you did not receive full points on #1, label these answers #1a, #1b, and #1c for clarity. If you would like, you may take the make-up exam, and I will take the higher of your current score plus 10 points, and the score on the make-up exam. The make-up exam will be very similar to Exam 2. There will be no concept questions, only skills. The questions will be of the same type. So, for example, #6 will be an absolute max/min problem worth 15 points. If you are happy with your score, you do not need to hand in the assignment. |
| 33 | Mon, 25 Apr |
Homework: Section 2.7, p. 132: #1, 3, 5. Reminder of Office Hours schedule: Monday after class, MPC 226; Tuesday at 5:00, MPC 215; Wednesday after class, MPC 226; Thursday at 11:30, MPC 215; Friday before class, MPC 226. |
| 34 | Wed, 27 Apr |
Make-Up Exam on Friday. The exam is optional; if you do not take it, you can keep your score, or add ten points to your score if you complete the assignment. Homework for Monday: Section 2.7, p. 132: #6, (answer: 80,400 cubic mm/s), #11. Also, the following problem: A water tank has the shape of an inverted circular cone with base radius 1 m and height 3 m. If the water is rising at a rate of 1/3 m/s when the water is 2 m deep, find the rate at which water is being pumped into the tank. (Answer: 0.47 cubic m/s.) |
| 35 | Fri, 29 Apr | Makeup Exam today! |
| 36 | Mon, 2 May |
Download today's Recap. Homework: Section 4.7, p. 252: #1, 3, 9, 23, 25, 27, 31, 33. Reminder of Office Hours schedule: Monday after class, MPC 226; Tuesday at 5:00, MPC 215; Wednesday after class, MPC 226; Thursday at 11:30, MPC 215; Friday before class, MPC 226. Friday's Homework Quiz covers Section 2.7 and Section 4.7. |
| 37 | Wed, 4 May |
Download solutions to the retake of Exam 2. Grades are updated on Moodle. Homework: Study for the last Homework Quiz! Some students have informed me there is a mandatory field trip for French class on Friday morning. Therefore, we will take the Homework Quiz during the last 30 minutes of class. You may bring a calculator to the quiz. |
| 38 | Fri, 6 May |
Some of you asked about taking Calculus II over the summer. It is common for students to take a course over the summer and transfer the credit to Eckerd, but I did not receive any specific recommendations for online courses. You would need to complete a Transient Form (which you can find on the Registrar's website), get the signature of the department chair, Prof. Griesenauer, and then turn it into the Registrar to get the credit transferred. Dr. Griesenauer said that if you have any more questions, you can feel free to see her in the math department, or send her an email at grieseel@eckerd.edu. The Extra Credit assignment (if done properly) is worth +5 points on your third exam. Write a two-page (double-spaced, one inch margins all around, only one line for your name, leaving 27 lines of text on the first page and 28 on the second) paper offering a critique of this document. Critique can be positive or not; what is important is that you say why. I plan to revise it for use in the fall, so I'd like to know what to keep the way it is and what to change. You can refer to line numbers in the document (except for the glitch at the bottom of page 4) or Figure numbers. Homework: Section 4.7, p. 252, #39, 41, 43, 47. Download a practice problem for the Final Exam. |
| 39 | Mon, 9 May |
Homework: Section 5.3, p. 289: #1, 9, 11, 13, 17, 21, 25. There is NO Homework Quiz Friday. We will go over last week's quiz and have a Review Session for the last exam. |
| 40 | Wed, 11 May |
Remember that the Extra Credit assignment is due at the beginning of the Final Exam. Homework: Section 5.4, p. 298: #5, 7, 9, 11, 15, 17, 19. |
| 41 | Fri, 13 May |
Download solutions to Homework Quiz 8. Review for Final Exam. The Final Exam is Tuesday, May 17, at 11:30. Bring your note card and calculator! I will hold office hours from 2:00—4:00 in the math department lobby on Monday. |