Math 130 - Fall 2011
Calculus I

Professor: Erika L.C. King
Email:eking@hws.edu
Office: Lansing 304
Phone: (315) 781-3355
Home Page

Office Hours: M 2:30-3:30pm, W 3:00-5:00pm, Th 12:30-2:00pm, F 1:30-2:30pm, and by appointment

Section 1 Class: MWF 9:05-10:00am in Eaton 110
Section 2 Class: MWF 10:10-11:05am in Eaton 110
Section 1 Lab: T 8:45-10:10am in Gulick 206A
Section 2 Lab: T 10:20-11:45am in Gulick 206A

Course Syllabus for Section 1
Course Syllabus for Section 2
***Note that these syllabi are essentially the same -- the main difference is the Final Exam schedule.***
Course Grade Scale

Math Intern, David Brown, Office Hours in Lansing 310: Sunday: 4:00-10:00pm, M and W: 6:00-11:00pm, T and Th: 3:00-6:00pm and 7:00-11:00pm

READING/EXAM WEEK

Review Session: Monday, December 12th 1:00pm-2:00pm in Napier 201.

Office Hours:

• Monday, December 12th: 11:00am-NOON
• Tuesday, December 13th: 11:30am-1:30pm and 4:00pm-5:00pm
• Wednesday, December 14th: 3:00pm-5:00pm
• Thursday, December 15th: 11:30am-1:30pm and 4:00pm-5:00pm
• By appointment

Final Exam:

• Section 1: Friday, December 16th 1:30pm-4:30pm in Eaton 110
• Section 2: Wednesday, December 14th 8:30am-11:30am in Eaton 110

Remember your journal is due at the final exam!

Have a great break! Keep in touch!

WEEK 15

There will be no quizzes this week.

Journal Homework for class Monday, December 5:

• Reread Section 4.4 (pages 257-261). Note that when the text refers to Theorem 4.5, they are talking about the Single Extremum Theorem. Work through the Quick Checks and the Review Questions (page 261) to make sure the concepts in this section are making sense.
• Finish Example 4 from class. This can stay with your class notes.
• ***Think about what you might like/be able to bring to the lab party. ***
• In your journal, write a solution to the following optimization problem: A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the page are each one inch. The margins on each side are one and a half inches. What should the dimensions of the page be so that the least amount of paper is used? (Remember to think carefully about how to assign your variables, remembering that you might want to set it up differently than the way we talked about setting up Example 4).
• Work the following problems in your journal (SHOW YOUR WORK): Section 4.4 (pages 262-263): 15, 25, 39, 41 and 55.
• Optional journal problems: Section 4.4 (pages 262-263): 20 and 45.

Journal Homework for lab Tuesday, December 6:

• Remember to be on time to lab and ready to eat...I mean, work! :-)
• Keep working on your problems for Section 4.4!
• Start reading Section 4.8 (starting on page 292).
• Work the following problems in your journal (SHOW YOUR WORK): Section 4.8 (page 301): 1, 2, 3 and 11-17 odd.
• Optional journal problems: Section 4.8 (page 301): 12-18 even.

Journal Homework for class Friday, December 9:

• Read Section 4.8 (pages 292-301). Work through the Quick Checks and the Review Questions (page 301) to make sure the concepts in this section are making sense.
• Work the following problems in your journal (SHOW YOUR WORK): Section 4.8 (pages 301-302): 23, 32, 35, 41, 47, 53, 57, 63, 67, 69, 71, 73, 75 and 79.
• Optional journal problems: Section 4.8 (pages 301-302): 27, 38, 42, 45, 51, 74 and 77.

WEEK 14

Quiz 11 on Friday, December 2nd covering Section 4.7.

Due to some required meetings, I will need to shift my office hours on Monday and Wednesday of this week. They will be Monday 2-3 and Wednesday 2-3 and 4-5. Friday office hours will remain unchanged. As usual, if you cannot make my office hours and have questions, please make an appointment and/or contact me over email.

***Due to a meeting at my son's school, I will need to shift my office hours on Thursday of this week. They will be Thursday 11:00am-Noon and 2:00-2:30pm. As usual, if you cannot make my office hours and have questions, please make an appointment and/or contact me over email.***

Journal Homework for class Monday, November 28:

• Reread pages 280-284 of Section 4.7. Read carefully through the proof of a special case of Theorem 4.13 and the geometry behind why it makes sense. Work through the Quick Checks 1 and 2 as you read.
• Work the following problems in your journal (SHOW YOUR WORK): Section 4.7 (page 290): 19, 23, 28, 29, 71 and 73.
• Optional journal problems: Section 4.7 (page 290): 18 and 25.

Journal Homework for lab Tuesday, November 29:

• Remember to be on time to lab and ready to work! There will be no journal quiz, but you should still have this assignment completed!!!
• Read Section 4.7 (pages 280-290). Read carefully the text about the change of variables technique before and including Example 5 (page 285). Note that this example could also have been done using rationalizing. Work through the Quick Checks and the Review Questions (page 290) to make sure the concepts in this section are making sense.
• Be sure that you have completed the work due for Monday.
• Work the following problems in your journal (SHOW YOUR WORK): Section 4.7 (pages 290-291): 33, 37, 38, 41, 43, 45, 47, 61, 63 and 69.
• Optional journal problems: Section 4.7 (pages 290-291): 31, 36, 40, 57, 72 and 93.

Journal Homework for class Friday, December 2:

• Finish the second example we worked on in class. Be sure you have checked all possibilities for critical numbers, determined exactly which of the found numbers are critical, and applied the First Derivative Test and the Single Extremum Theorem.
• Read Section 4.4 (pages 257-261). Note that when the text refers to Theorem 4.5, they are talking about the Single Extremum Theorem. Work through the Quick Checks and the Review Questions (page 261) to make sure the concepts in this section are making sense.
• Work the following problems in your journal (SHOW YOUR WORK): Section 4.4 (pages 261-262): 9, 11, 13 (Try using "c" to represent the constant cost per square foot of material used to make the sides, and keep in mind that this is a constant.) and 17.
• Optional journal problems: Section 4.4 (pages 261-262): 7 and 12.

WEEK 13

Exam 3 will be on Tuesday during lab. Be sure that you are all caught up on your journal work and prepared to turn in your journal at the beginning of your exam.

Journal Homework for class Monday, November 21:

• Review your journal work for Section 4.6. Refer to the example that we worked through in class Friday. Make sure you are all caught up on your journal work!!!
• Read pages 280-284 of Section 4.7. Read carefully through the proof of a special case of Theorem 4.13 and the geometry behind why it makes sense. Work through the Quick Checks 1 and 2 as you read.
• Work the following problems in your journal (SHOW YOUR WORK): Section 4.7 (page 290): 15, 17, 21, 27 and 30.
• Bring the review sheet to class on Monday. You may want to start working on the extra review problems suggested on this handout. These need not go in your journal however, and your first priority should be to make sure you have completed all of the journal assignments. Come to class with any questions you have. We will spend about half of Monday's class in review.

Journal Homework for lab Tuesday, November 22:

• Remember to bring your journal to lab to be turned in before you start your exam! Also bring at least one pencil, preferably two.
• Make sure you are caught up on ALL your journal work. This is a great way to review and of course allows you to do very well on your journal grade! Remember that the answers to most journal problems are in the back of the book so you can check your work. On the other hand, note that the book is not always complete in their answers and does not show the full solutions, which is what you should be including in your journal. (In particular, for the true/false questions, be sure you have given a reason to defend your choice.) You will not get full credit if you only have the question and the answer from the back of the book with no work in between.
• BREATHE!

Have a great Thanksgiving Break!

WEEK 12

Journal Quiz 8 on Tuesday, November 15th covering homework from Sections 4.2 and 4.3.

Quiz 10 on Friday, November 18th covering Sections 4.2 and 4.3, particularly those topics covered in lab.

Journal Homework for class Monday, November 14:

• Reread Section 4.2 (especially pages 241-242). Work through the Quick Checks and the Review Questions (page 243) to make sure the concepts in this section are making sense.
• Start reading Section 4.3 (pages 247-254). Section 4.3 brings together many of the things we have been talking about. A great review!!!
• Work the following problems in your journal (SHOW YOUR WORK): Section 4.2 (pages 244-245): 59, 61 and 79.
• Work the following problems in your journal (SHOW YOUR WORK): Section 4.3 (pages 254-255): 7, 11, 37 and 43.
• Optional journal problems: Section 4.3 (pages 254-255): 8 and 9.

Journal Homework for lab Tuesday, November 15:

• Remember to bring your journal to lab for the quiz at 8:45 (Section 1) or 10:20 (Section 2)! Note some of the problems assigned Monday (i.e. for Tuesday listed below) could be on the quiz!
• Review the examples we worked together in class, especially the last one, and make sure you understand them completely. Check the derivatives for the first one!
• Read Section 4.3 (pages 247-254). Note the beginning of the chapter and how graphing calculators may be deceiving! Work through the Quick Checks and the Review Questions (page 254) to make sure the concepts in this section are making sense.
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): Responsible for journal quiz: Section 4.3 (page 255): 19, 21, 31 and 41. Complete no later than Wednesday morning: Section 4.3 (page 256): 51, 53 and 67.
• Optional journal problems: Section 4.3 (pages 255-256): 17, 27, 29 and 68.

Journal Homework for class Friday, November 18:

• Review the proofs that we did in class today (one showing a function has exactly one real root and another proving the Mean Value Theorem). These are really cool! Make sure they make sense to you and bring questions to office hours and/or class if you have them. Then read the section for more cool proofs!
• Read Section 4.6 (pages 274-278). Be sure to read through the proof of Rolle's Theorem and Theorem 4.11 carefully. Note why we need the hypotheses of Rolle's and the Mean Value Theorems (see examples on page 275, etc.). Work through the Quick Checks and the Review Questions (page 279) to make sure the concepts in this section are making sense.
• Work the following problem in your journal (SHOW YOUR WORK): Prove that the function ${\small f(x)=-2x^{15}-5x+21}$ has exactly one real root.
• Work the following problems in your journal (SHOW YOUR WORK): Section 4.6 (pages 279-280): 7, 9, 11, 17, 19, 23, 25, 29 and 35.
• Optional journal problems: Section 4.6 (pages 279-280): 15 and 31.

WEEK 11

Journal Quiz 7 on Tuesday, November 8th covering homework from Sections 3.10-4.2.

Quiz 9 on Friday, November 11th covering Sections 3.10-4.2, particularly those topics covered in lab.

Due to the speaker on Wednesday, my office hours will be shifted that day. Wednesday, November 9th my office hours will be 2:30-4:00.

Journal Homework for class Monday, November 7:

• Read Section 4.1 (pages 223-229). Work through the Quick Checks and the Review Questions (page 229) to make sure the concepts in this section are making sense.
• More Practice with Related Rates! Work the following problems in your journal (SHOW YOUR WORK): Section 3.10 (pages 216-217): 33 and 36.
• Work the following problems in your journal (SHOW YOUR WORK): Section 4.1 (pages 230-231): 23, 27, 33, 37, 47, 61a, 65a and 71. It is not necessary for you to complete the graphing calculator portion of these problems.
• Optional journal problems: Section 4.1 (pages 230-231): 28, 35, 45, 57 and 73.

Journal Homework for lab Tuesday, November 8:

• Remember to bring your journal to lab for the quiz at 8:45 (Section 1) or 10:20 (Section 2)! Note some of the problems assigned Monday (i.e. for Tuesday listed below) could be on the quiz!
• Reread pages 227-229 of Section 4.1. Read pages 232-237 of Section 4.2. Work through the Quick Checks 1-3 as part of your reading.
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): Responsible for journal quiz: Section 4.1 (pages 230-231): 51, 53, 61c and 65c. Section 4.2 (page 243): 13, 15, 21, 23 and 27. It is not necessary for you to complete the graphing calculator portion of these problems. Complete no later than Wednesday morning: Section 4.2 (page 243): 33 and 37.
• Optional journal problems: Section 4.2 (page 243): 29 and 35.

Journal Homework for class Friday, November 11:

• Read pages 237-242 of Section 4.2. Work through the Quick Checks 4-5 as part of your reading.
• Work the following problems in your journal (SHOW YOUR WORK): Section 4.2 (pages 243-245): 39, 45, 49, 51, 54, 63, 65, 67, 71 and 75.
• Optional journal problems: Section 4.2 (pages 243-245): 41, 55, 66 and 73.

WEEK 10

Journal Quiz 6 on Tuesday, November 1st covering homework from Sections 3.8-3.10.

Quiz 8 on Friday, November 4th covering Sections 3.8-3.10, particularly those topics covered in lab.

On Thursday, November 3rd, I will be traveling to Houghton College to give a talk. Thus Thursday office hours will be cancelled. Please be sure to see me on other days of the week if you have questions.

Journal Homework for class Monday, October 31:

• Read Section 3.9 (pages 202-208). Pay special attention to Example 4 on page 207 to get the idea of why a function and its inverse have derivatives related by reciprocals. Then work through Example 5 on page 208 to see how to apply Theorem 3.23. You need not do this in your journal. Work through the Quick Checks and the Review Questions (page 208) to make sure the concepts in this section are making sense.
• Work the following problems in your journal (SHOW YOUR WORK): Section 3.9 (pages 209-210): 11, 15, 17, 20, 23, 25, 31 (try applying Theorem 3.23, which we discussed at the end of class to this one), 43, 49 and 53.
• Optional journal problems: Section 3.9 (pages 209-210): 9, 21, 26, 35 and 55.

Journal Homework for lab Tuesday, November 1:

• Remember to bring your journal to lab for the quiz at 8:45 (Section 1) or 10:20 (Section 2)! Note some of the problems assigned Monday (i.e. for Tuesday listed below) could be on the quiz!
• Review the examples we did in class. Try to complete the last example (Example 3 from the 3.10 handout) in your notes. We will discuss this after the journal quiz.
• Reread pages 207-208 of Section 3.9.
• Read Section 3.10 (pages 211-214). Work through the Quick Checks and the Review Questions (page 214) to make sure the concepts in this section are making sense.
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): Responsible for journal quiz: Section 3.9 (page 209): 33, 37, 39 and 41. Section 3.10 (pages 214-215): 5, 9 and 12. Complete no later than Wednesday morning: Section 3.10 (page 215): 13, 15, 20 and 23.
• Optional journal problems: Section 3.9 (page 210): 61. Section 3.10 (page 215): 11 and 21.

Journal Homework for class Friday, November 4:

• Start reading Section 4.1 (especially pages 223-226). Work through Quick Check 1 as part of your reading.
• Make sure you go back to the Section 3.10 problems from Tuesday's assignment, including number 13 we started in class (note it has a second part that we did not discuss at all), and finalize your answers for those.
• Work the following problems in your journal (SHOW YOUR WORK): Section 3.10 (page 216): 29 and 31. Section 4.1 (pages 229-230): 10, 11, 13, 15, 17, 19 and 21 (Note that there is more than one way to draw the graphs for 19 and 21!). (Note: in the 9:05 class, we didn't get a definition of local extrema on the board yet. Read the book on pages 225-226 and see if you can figure it out. We will discuss this more in class.)
• Optional journal problems: Section 3.10 (page 216): 30. Section 4.1 (page 230): 22.

WEEK 9

There will be no quizzes this week.

Exam 2 will be on Tuesday during lab. Be sure that you are all caught up on your journal work and prepared to turn in your journal at the beginning of your exam.

Due to the speaker on Wednesday, my office hours will be shifted that day. Wednesday, October 26th my office hours will be 2:30-4:00.

Journal Homework for class Monday, October 24:

• Bring the review sheet to class on Monday. Work on the practice problems on the back of the handout. Put this work in your notes, not in your journal. You may also want to start working on the extra review problems suggested on the handout. These need not go in your journal however, and your first priority should be to make sure you have completed all of the journal assignments. Come to class with any questions you have. We will spend most of Monday's class in review.
• Reread Section 3.6 (pages 175-180) and read Section 3.7 in the text (pages 183-188). Work through the Review Questions on page 188.
• Work the following problems in your journal (SHOW YOUR WORK): Section 3.6 (pages 180-181): 29, 31, 35, 39, 41, 43, 45, 47, 51, 57 and 61. Section 3.7 (pages 189-190): 5, 7, 11, 13, 19, 23, 41, 47 and 51.
• Optional journal problems: Section 3.6 (pages 181-183): 32, 37, 49, 73 and 79. Section 3.7 (pages 189-190): 9, 12, 17, 25, 37, 43 and 53.

Journal Homework for lab Tuesday, October 25:

• Remember to bring your journal to lab to be turned in before you start your exam! Also bring at least one pencil, preferably two.
• Make sure you are caught up on all your journal work. This is a great way to review and of course allows you to do very well on your journal grade! Remember that the answers to most journal problems are in the back of the book so you can check your work. On the other hand, note that the book is not always complete in their answers and does not show the full solutions, which is what you should be including in your journal. In particular, for the true/false questions, be sure you have given a reason if you state something is false.
• BREATHE!

Journal Homework for class Wednesday, October 26:

• Reread Section 3.7 in the text (pages 183-188).
• If your journal has not been returned to you, you may complete the following on a separate paper to be carefully and neatly stapled or taped into your journal later.
• Work the following problems in your journal (SHOW YOUR WORK): Section 3.7 (page 189): 27, 29 and 31.
• Optional journal problems: Section 3.7 (page 189): 30 and 32.

Journal Homework for class Friday, October 28:

• Read Section 3.8 (pages 192-199). Check out an alternate method for differentiating functions raised to functions in Example 5 on page 197. If a method is not specified, you can use either method. However, you should know how to use logarithmic differentiation. Example 7 on pages 198-199 is like the function I showed you at the end of class. Notice how nice taking the derivative is after you have applied all the logarithmic properties. Remember that the book leaves out a step. Do you see why that is not a problem for Example 7. Also check out the proof of the Power Rule on page 196. Aren't inverse functions valuable???!!! Remember to work through the Quick Checks and the Review Questions (page 199) to make sure the concepts in this section are making sense.
• If your journal has not been returned to you, you may complete the following on a separate paper to be carefully and neatly stapled or taped into your journal later.
• Be sure that you have completed the journal work that was due on Wednesday.
• Work the following problems in your journal (SHOW YOUR WORK): Section 3.8 (pages 199-202): 11, 15, 19, 27, 33, 41, 45, 47, 51, 55, 63, 71, 79 and 83.
• Optional journal problems: Section 3.8 (pages 199-202): 12, 13, 35, 39, 49, 73, 75 and 85.

WEEK 8

Journal Quiz 5 on Tuesday, October 18th covering homework from Sections 3.2-3.3.

Quiz 7 on Friday, October 21st covering Sections 3.2-3.3, particularly those topics covered in lab.

Journal Homework for class Monday, October 17:

• Finish finding the derivatives of the five functions we were working on at the end of class. You do not need to put these in your journal - keep them in your notes and be ready to put them on the board at the beginning of class. Also see how many higher order derivatives you can find of the function in our last example. We found the third derivative together. What about the fourth? fifth?...one hundreth?
• Reread Section 3.2 in the text (pages 135-142).
• Work the following problems in your journal (SHOW YOUR WORK): Section 3.2 (pages 142-143) 35, 37, 41, 43, 47, 49, 51, 57 and 67.
• Optional journal problems: Section 3.2 (pages 142-143): 36, 39, 53, 73 and 75.

Journal Homework for lab Tuesday, October 18:

• Remember to bring your journal to lab for the quiz at 8:45 (Section 1) or 10:20 (Section 2)! Note some of the problems assigned Monday (i.e. for Tuesday listed below) could be on the quiz!
• Read Section 3.3 in the text (pages 145-151). Be sure to carefully work through the proof of the Quotient Rule (page 147), and how we can use the Quotient Rule to help us prove that the Power Rule works for negative integers (page 149). Work through the Review Questions on page 152.
• Read pages 155-157 of Section 3.4. We started working on this in class, with a slightly different approach. Spend some time with this so that what we do in lab will be more clear and you will know what you want to ask questions about.
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): Responsible for journal quiz: Section 3.3 (pages 152-153): 11, 15, 19, 21, 24, 27, 29 and 51. Complete no later than Wednesday morning: Section 3.3 (page 153): 53, 55, 59, 64 and 69.
• Optional journal problems: Section 3.3 (pages 152-154): 8, 9, 10, 16, 26, 30, 35, 67, 70, 76 and 81.
• Note that while Optional journal problems and Extra Fun lab problems are not required, bonus questions on the exams often come from these sets of questions!

Journal Homework for class Friday, October 21:

• We covered A LOT of ground in lab and class on Tuesday and Wednesday. You must do a lot of practice problems to solidify these new ideas. Many of these will be quite short, so the length of the assignment below isn't as challenging as it first appears. Even though there are many problems listed, if you do not feel comfortable with the new concepts by the end of them, DO MORE!!!
• Read Section 3.4 (pages 155-160). Pay careful attention to the proofs of the derivatives of sine and tangent. Work through the Quick Checks and the Review Questions (page 161) to make sure the concepts in this section are making sense.
• Read Section 3.6 (pages 175-180). Check out the proof of the Chain Rule (pages 179-180). Work through the Quick Checks and the Review Questions (page 180) to make sure the concepts in this section are making sense.
• Work the following problems in your journal (SHOW YOUR WORK): Section 3.4 (pages 161-163): 7, 9, 10, 11, 21, 23, 29, 31, 35, 37, 41, 47, 53, 55 and 71. Section 3.6 (pages 180-181): 11, 13, 14, 15, 25 and 27. (Note you do not need to worry about following the directions about Version 1 and Version 2. Choose the approach that works best for you. For problems 11-15, DO be sure to identify the inner and outer functions. For the remaining exercises, you are not required to explicitly identify these.)
• Optional journal problems: Section 3.3 (page 153): 52; Section 3.4 (pages 161-163): 12, 13, 22, 33, 39, 54 and 56. Section 3.6 (pages 180-181): 22, 26 and 28.

WEEK 7

Have a great fall break!

Although I will have regular office hours on Wednesday and Thursday, I will need to cancel my office hours on Friday. Please make an appointment if my Wednesday and Thursday office hours conflict with your course schedule and you need to see me.

Quiz 6 on Friday, October 14th covering Section 3.1.

Journal Homework for class Wednesday, October 12:

• Reread Section 3.1, particularly pages 124-131. Work through Review Questions 7-10 (pages 131-132) to make sure the concepts in this section are making sense.
• The proof of the theorem that "if ${\small f}$ is differentiable at ${\small a}$, then ${\small f}$ is continuous at ${\small a}$" is on pages 129-130 of the text. This is really neat and is a great way to review our definitions of the two concepts. Write this proof in your journal, adding any steps you think are missing, if any. Does this make sense?
• Work the following problems in your journal (SHOW YOUR WORK): Section 3.1 (pages 132-135): 33, 39 (This is an example of one where you can find the exact values for f'(x).), 45, 47, 49, 53, 60 and 69.
• Optional journal problems: Section 3.1 (pages 132-135): 31, 51 and 71.
• Rework your exam. Although in general you may discuss this with others, if you are turning in the bonus, you may not discuss the problem which you are turning in for bonus points. Come to office hours or make an appointment to see me to go over your corrections and discuss strategies for a better outcome next time.

Optional Bonus Assignment due Thursday, October 13, at 3:00PM:

• You may use your book and your notes to do this assignment. You may also consult Prof. King or Dave Brown. However, you may NOT use other student's notes or exams, and you may not consult other students, tutors, or resources of any kind.
• Complete this worksheet. Turn it in together with your original exam. Do NOT write on your exam.

Journal Homework for class Friday, October 14:

• Reread Section 3.1, particularly pages 128-131.
• Read Section 3.2 (pages 135-142). Pay careful attention to the proof of the "Sum Rule" (the derivative of a sum is the sum of the derivatives) on page 138. Work through the Quick Checks and the Review Questions (page 142) to make sure the concepts in this section are making sense.
• Work the following problems in your journal (SHOW YOUR WORK): Section 3.1 (pages 132-134): 41, 43 and 55 (this asks you to think backwards!). Section 3.2 (pages 142-143): 18, 19, 24, 25, 29, 31 and 33.
• Optional journal problems: Section 3.1 (pages 133-135): 44, 46 and 72. Section 3.2 (pages 142-143): 14, 26 and 32.

WEEK 6

Journal Quiz 4 on Tuesday, October 4th covering homework from Sections 2.5-2.7.

Quiz 5 on Friday, October 7th covering Sections 2.5-2.7, particularly those topics covered in lab.

Journal Homework for class Monday, October 3:

• Read Section 2.6 in the text (pages 94-102). Be sure to read the side bar notes, and remember to try out the "Quick Checks", even if it is just in your head. Also remember to run through the review questions at the beginning of the exercises even if you are not required to put them in your journal. This is a good way to check whether or not you have picked up the main points of the text.
• Work the following problems in your journal (SHOW YOUR WORK): Section 2.6 (pages 103-106): 15, 16, 45, 47, 63, 67, 73, 86, 87 and 89.
• Optional journal problems: Section 2.6 (pages 103-106): 17, 48, 65 and 88.

Journal Homework for lab Tuesday, October 4:

• Remember to bring your journal to lab for the quiz at 8:45 (Section 1) or 10:20 (Section 2)! Note some of the problems assigned Monday (i.e. for Tuesday listed below) could be on the quiz!
• Reread Section 2.6 in the text (pages 94-102), especially pages 101-102 where the Intermediate Value Theorem is discussed. We will begin lab by discussing the Intermediate Value Theorem and looking at an example.
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): Responsible for journal quiz: Section 2.6 (pages 103-106): 21, 29, 33, 35, 37, 75 and 91. Complete no later than Wednesday morning: Section 2.6 (pages 104-106): 53a, 55, 59, 71, 75, 77 and 79.
• Optional journal problems: Section 2.6 (pages 104-106): 57, 82 and 92.

Journal Homework for class Friday, October 7:

• Read Section 3.1 (pages 121-131). Work through the Quick Checks and the Review Questions 1-6 (page 131) to make sure the concepts in this section are making sense. As usual, you do not need to put the answers to these in your journal, but they are important check points.
• Work the following problems in your journal (SHOW YOUR WORK): Section 3.1 (pages 132-135): 11, 13, 21, 25, 27, 37, 57 (I am especially interested in your thought process for this one so use sentences to describe your approach), 59 and 67. For those of you who know shortcuts, make sure you are using the definitions here...that means limits!
• Optional journal problems: Section 3.1 (pages 134-135): 60, 65 and 68.

WEEK 5

Regular office hours this week! Please come!

There will be no quizzes this week.

Exam 1 will be on Tuesday during lab. Be sure that you are all caught up on your journal work and prepared to turn in your journal at the beginning of your exam.

Journal Homework for class Monday, September 26:

• Reread Section 2.4 (pages 76-81) and Section 2.5 (pages 84-91) in the text.
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): Section 2.4 (pages 82-84): 19, 21, 24, 27, 33, 36, 38, 41 and 45. Section 2.5 (pages 92-93): 4, 5, 11 (apply the Squeeze Theorem! it works for limits at infinity as well.), 17, 19, 21 and 43.
• Optional journal problems: Section 2.4 (pages 82-83): 29, 39 and 43. Section 2.5 (pages 92-93): 13, 31, 41 and 53.
• Catch up on journal work and bring questions to class to review.

Journal Homework for lab Tuesday, September 27:

• Remember to bring your journal to lab to be turned in before you start your exam! Also bring at least one pencil, preferably two.
• Make sure you are caught up on all your journal work. This is a great way to review and of course allows you to do very well on your journal grade! Remember that the answers to most journal problems are in the back of the book so you can check your work. On the other hand, note that the book is not always complete in their answers and does not show the full solutions, which is what you should be including in your journal. In particular, for the true/false questions, be sure you have given a reason if you state something is false.
• BREATHE!

Journal Homework for class Wednesday, September 28:

• Reread Section 2.5, especially pages 88-89, in the text.
• If your journal has not been returned to you, you may complete the following on a separate paper to be carefully and neatly stapled or taped into your journal later.
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): Section 2.5 (pages 92-93): 23, 24, 25, 33, 37, 39 and 54.
• Optional journal problems: Section 2.5 (pages 92-93): 44.

Journal Homework for class Friday, September 30:

• Reread Section 2.5 (especially pages 90-91), and read pages 113-114 of Section 2.7, paying careful attention to Example 6.
• Start reading Section 2.6 (pages 94-102).
• If your journal has not been returned to you, you may complete the following on a separate paper to be carefully and neatly stapled or taped into your journal later.
• Be sure that you have completed the journal work that was due on Wednesday.
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): Section 2.5 (page 92): 27, 29, 45 and 47; Section 2.7 (page 116): 29 and 31; Section 2.6 (page 103): 9, 11 and 13.
• Optional journal problems: Section 2.5 (page 92): 28 and 42.

WEEK 4

Due to some required meetings, I will need to shift my office hours on Monday and Wednesday of this week. They will be Monday 2-3 and Wednesday 2-3 and 4-5. Thursday and Friday office hours will remain unchanged. As usual, if you cannot make my office hours and have questions, please make an appointment and/or contact me over email.

Journal Quiz 3 on Tuesday, September 20th covering homework from Sections 2.2, 2.3 and 2.7.

Quiz 4 on Friday, September 23rd covering Sections 2.2, 2.3 and 2.7, particularly those topics covered in lab.

Journal Homework for class Monday, September 19:

• Reread pages 107-112 of Section 2.7 in the text. Review your notes on Section 2.7. Review the homework from this section that was assigned for Friday's class and revise/add to your journal work as necessary. In particular, make sure you spend some time working with the applet as assigned for Friday. Let me know if you have any questions on this material.
• Start reading Section 2.3 (pages 65-72) in the text.
• Work the following problems in your journal (SHOW YOUR WORK) Section 2.7 (pages 115-116): 15, 19, 20, 25, 27, 33 and 39. Note that questions 25 and 27 ask you to prove some limit laws that make our lives easier. We will be applying these in Section 2.3.
• Optional journal problems: Section 2.7 (pages 115-116): 16, 26 and 42.

Journal Homework for lab Tuesday, September 20:

• Remember to bring your journal to lab for the quiz at 8:45 (Section 1) or 10:20 (Section 2)! Note some of the problems assigned Monday (i.e. for Tuesday listed below) could be on the quiz!
• Read Section 2.3 (pages 65-72) in the text.
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): Responsible for journal quiz: Section 2.3 (page 73): 7, 15, 19, 29, 31, 39, 41 and 45. Be sure to show all the steps justified by limit laws as we did in class for 19 and 29. Complete no later than Wednesday morning: Section 2.3 (pages 73-74): 21, 25, 49 and 55. Be sure to show all the steps justified by limit laws as we did in class for 21.
• Optional journal problems: Section 2.3 (pages 73-75): 6, 20, 22, 27, 32 and 85.

Journal Homework for class Friday, September 23:

• Reread Section 2.3 in the text, especially pages 71-72.
• Read Section 2.4 in the text. Be sure to carefully read the definitions of the infinite limit where y is decreasing without bound and of the one-sided infinite limits, which we discussed but did not write on the board in detail. Note that the book evaluates infinite limits with a slightly different process than we discussed in class. Either is acceptable as long as you show your work.
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): Section 2.3 (pages 73-75): 35, 43, 53b, 59, 60, 65, 75 and 77. We still have some examples to work through in class for Section 2.4, but start working on some of the problems from that section. Section 2.4 (pages 82-83): 9, 15, 25.
• Optional journal problems: Section 2.3 (pages 73-75): 44, 47, 61, 63, and 84. Section 2.4 (pages 82-83): 11, 16 and 23.

WEEK 3

Office hours will now be as announced on the syllabus, etc. Please use them!

Journal Quiz 2 on Tuesday, September 13th covering homework from Sections 1.3-2.2.

Quiz 3 on Friday, September 16th covering Sections 1.3-2.2, particularly those topics covered in lab.

Journal Homework for class Monday, September 12:

• Reread Section 1.4 (pages 34-43) and make sure you are comfortable with this material. Do extra problems as needed. Remember that your reading should involve doing the Quick Check questions within the reading and the Review Questions at the beginning of the exercise section (though you need not include those in your journal). Work on remembering your trigonometric identities and function values.
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): Section 1.4 (pages 44-45): 33, 39, 40, 51, 62, 66 and 75.
• Optional journal problem: Section 1.4 (page 44): 64.
• Review lines in Appendix A (pages 1066-1067) and start reading Section 2.1 (pages 50-51) to prepare for Monday's class. Yea, Calculus!!!

Journal Homework for lab Tuesday, September 13:

• Remember to bring your journal to lab for the quiz at 8:45 (Section 1) or 10:20 (Section 2)! Note some of the problems assigned Monday (i.e. for Tuesday listed below) could be on the quiz!
• Read Section 2.1 (pages 50-54) and also start reading Section 2.2 (pages 56-61).
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): [I will break these into two sets, one that includes problems that might be on your journal quiz, and one that includes problems you should definitely look at and complete no later than Wednesday's class, but will not be on the journal quiz.] Responsible for journal quiz: Section 2.1 (page 55): 3, 6, 13 and 19. Complete no later than Wednesday morning: Section 2.2 (pages 61-63): 2, 5, 13, 19, 20 and 21.
• Optional journal problems: Section 2.2 (pages 61-62): 9, 17 and 18.

Journal Homework for class Friday, September 16:

• Read Section 2.2 in the text (pages 56-61). Also read pages 107-112 of Section 2.7 in the text. Note the two-step process that is emphasized on page 111. Be sure to do the Quick Checks (in your head if nothing else) as you read!
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): Section 2.2 (pages 62-64): 23, 25, 31, 37 (come borrow a calculator if you need one!) and 39. Section 2.7 (page 115): 3, 4, 7, 9 and 11.
• Work on understanding the precise definition of the limit by playing around with the cool applet on this page. At the end of the page are a few exercises for you to put in your journal. Work on understanding the relationship between epsilon and delta. Bring any questions you have to class.
• Optional journal problems: Section 2.2 (pages 62-64): 24, 30 and 40. Section 2.7 (page 115): 13.

WEEK 2

Remember to keep your appointments!

Note that due to individual appointments, some of my open office hours are shortened this week. The revised hours for this week are: Monday 2:30-3:10pm, Wednesday 3:00-4:00pm, Thursday 12:30-1:30 and Friday 1:30-2:00pm. If you cannot make these times and need to see me, please make an appointment.

Journal Quiz 1 on Tuesday, September 6th covering homework from Sections 1.1-1.3 and Appendix A.

Quiz 2 on Friday, September 9th covering Sections 1.1-1.3, particularly those topics covered in lab.

Journal Homework for class Monday, September 5:

• Draw a graph of the piecewise function we discussed at the end of Friday's class.
• Reread Section 1.2 in the text (pages 10-18). Also read Section 1.3 (pages 22-28).
• After reading Section 1.3, complete this worksheet. We will discuss the answers in class.
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): Section 1.2 (pages 19-20): 19, 31, 41, 51; Section 1.3 (pages 32-33): 33, 35, 43, 45 and 57. This asks you to review some properties of exponents and logarithms that you should know from precalculus.
• Optional journal problems: Section 1.2 (pages 19-20): 30; Section 1.3 (pages 32-33): 37, 39, 41.

Journal Homework for lab Tuesday, September 6:

• Remember to bring your journal to lab for the quiz at 8:45 (Section 1) or 10:20 (Section 2)! Note some of the problems assigned Monday could be on the quiz!
• Reread Section 1.3 in the text (pages 10-31). We may discuss more of this at the beginning of lab, but will use the lab itself to continue to refresh our memories on this material. Your thorough reading of this material will give you a greater opportunity to stabilize this!
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): [I will break these into two sets, one that includes problems that might be on your journal quiz, and one that includes problems you should definitely look at and complete no later than Wednesday's class, but will not be on the journal quiz.] Responsible for journal quiz: Section 1.3 (pages 31-33): 7, 11, 14, 15, 25, 31, 47 and 59. Complete no later than Wednesday morning: Section 1.3 (pages 32-33): 18, 19, 29, 65 and 67.
• Optional journal problems: Section 1.3 (pages 32-34): 22, 28 and 72.

Journal Homework for class Friday, September 9:

• Read Section 1.4 in the text (pages 34-43). Remember to work through the Quick Check questions as you go. Also even though I don't always assign problems from the "Review Questions" portion of the Section Exercises, I recommend that you read through them and make sure you know the answers as a way to see if you have absorbed some of the important ideas of the section.
• Work through or review the last two examples we did in Wednesday's class to make sure they make sense. In your notes, write down graphs and properties for cosine/arccosine and tangent/arctanget analogous to what we did for sine/arcsine in Wednesday's class. We will review this after the quiz on Friday.
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): Section 1.3 (page 33): 60 and 61; Section 1.4 (pages 44-45): 19, 27 (think: half angle!), 31, 45, 53, 61, 65 and 67.
• Optional journal problems (You should feel comfortable doing these, but you need not include them in your journal. When I grade your journal, I will give bonus points for having a certain number of extra problems completed): Section 1.4 (pages 44-46): 25, 43, 55, 57, 69 and 86 (you are solving for ${\small\theta}$ in terms of ${\small x}$ so don't be surprised if you still have inverse trigonometric functions in your answer!).

WEEK 1

Welcome to Calculus I!!!

Below are some applets that may help you review graphs of functions. I encourage you to experiment with these as you review material you will be using this semester. Note that each of these was designed by Prof. David Eck.

Note that due to individual appointments and a personal appointment in Syracuse, some of my open office hours are shortened/changed this week and next week. The revised office hours for this week are: W: 3-4, Th: 3:30-4, F: 1:30-2:00. If you cannot make these times and need to see me, please make an appointment.

Quiz 1 on Friday, September 2nd covering Appendix A and Section 1.1, particularly those topics covered in lab.

Collected Homework (Due Tuesday, August 30 at the beginning of lab):

• Write an autobiographical essay as assigned on the syllabus.

Journal Homework for lab Tuesday, August 30:

• Read the salmon syllabus (Section 1, and Section 2). We went through most of this in class, but you should make sure you have read all the details and don't have any questions about it. Also be sure to record the exam dates in your personal calendar/planner. Remember there are no make-ups.
• Review the Prerequisites for Math 130 handout, Appendix A (pages 1061-1067), and read Section 1.1 (pages 1-7). Be sure to complete the Quick Check Questions while you are reading and check your answers at the end of the section. (You need not put Quick Check Questions in your journal.) You should feel very comfortable with this material.
• Work on the groupwork handout from class on Monday. This should take you about 15 minutes. You do not need to put this in your journal, but you should bring it to class. We will work on it and/or put solutions on the board.
• Work the following problems in your journal (SHOW YOUR WORK): Appendix A (pages 1067-1068): 5, 6, 19, 23, 29, 33, 39 and 41. Section 1.1 (pages 7-9): 5, 29, 39, 45 and 55.
• Optional journal problems (You should feel comfortable doing these, but you need not include them in your journal. When I grade your journal, I will give bonus points for having a certain number of extra problems completed): Appendix A (pages 1067-1068): 11, 20, 28, 34, 45, and 48. Section 1.1 (pages 7-9): 28, 42, 53 and 54.

Journal Homework for class Friday, September 2:

• Reread Section 1.1 and read Section 1.2 in the text (pages 1-18). Be sure to work through the Quick Check questions as you read, and look at the Review Questions afterwards. You do not need to write down answers to these necessarily, but you should use them as check points. Also review the graphs of elementary functions on the insert in the back of the textbook. These are graphs you should know how to reproduce.
• Work on the groupwork sheet from Wednesday's class and complete at least the first question.
• Work the following problems in your journal (SHOW YOUR WORK - not just the final answer): Section 1.1 (pages 8-9): 37, 49, 65-75 odd (Hint: for 65-71 you may want to let ${\small f(x)}$ be your even function and ${\small g(x)}$ be your odd function). Section 1.2 (pages 19-20): 15, 29 and 39 (Be sure to explain your answers; do not just write "True" or "False"!).
• Optional journal problems (You should feel comfortable doing these, but you need not include them in your journal. When I grade your journal, I will give bonus points for having a certain number of extra problems completed): Section 1.1 (pages 8-9): 51, 57. Section 1.2 (page 21): 45, 47.

Last modified: Friday 9 December 11:56:07 EST 2011