Calculus I, Spring 2022

Week 1

 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!

Week 2

 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.

Week 3

 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.

Week 4

 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.

Week 5

Week 6

 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.

Week 7

 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!

Week 8

 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.

Week 9

 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.

Week 10

Week 11

Week 12

 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!

Week 13