MATH 130 - Fall 2013
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, T 12:45-2:15pm, W 2:30-4:30pm, F 1:30-2:30pm, and by appointment

Section 2 Class: MWF 10:10-11:05am in Napier 101
Section 2 Lab: Th 1:30-2:55pm in Gulick 206A

Section 3 Class: MWF 11:15am-12:10pm in Napier 101
Section 3 Lab: Th 3:05-4:30pm in Gulick 206A

Course Syllabus for Section 2
Course Syllabus for Section 3
***Note that these syllabi are essentially the same -- the main difference is the Final Exam schedule.***
Course Grade Scale

Math TAs Office Hours in Lansing 310: Sunday-Thursday: 7:00pm-11:00pm

READING/EXAM WEEK

Review Session: Monday, December 9th 10:30am-Noon in Napier 101.

Office Hours:

• Monday, December 9th: 12:45pm-1:45pm
• Tuesday, December 10th: 11:30am-1:30pm and 4:00pm-5:00pm
• Wednesday, December 11th: 11:00am-Noon
• By appointment

Final Exam:

• Section 2: Wednesday, December 11th 1:30pm-4:30pm in Napier 101
• Section 3: Thursday, December 12th 8:30am-11:30am in Napier 101

Have a great break! Keep in touch!

WEEK 15

Homework due Monday, December 2 at the beginning of class:

• Complete Homework 35: Warm-Up Exercises: Section 4.4 (page 262): 15; Section 4.8 (page 301): 1, 2, 3, 12, 14, 15, 17. (Be sure to following the directions and check your work with the last four.)
• Need some extra practice? Try these optional problems: Section 4.4 (pages 261-262): 7, 12 and 17.

Homework due Wednesday, December 4 at the beginning of class:

• Complete Homework 36: Warm-Up Exercises: Section 4.4 (page 263): 25; Section 4.8 (pages 301-302): 23, 32, 35, 42, 47, 53 and 57.
• ***Think about what you might like/be able to bring to the lab party. There will be a sign up sheet on Wednesday.***
• Need some extra practice? Try these optional problems: Section 4.4 (page 262): 20; Section 4.8 (pages 301-302): 27, 38, 41, 45, 51 and 73.

BONUS OPPORTUNITY due Thursday, December 5 at the beginning of lab:

• This is an optional assignment that can earn points towards your Exam 3 grade. You are encouraged to review problem 4 from your exam before attempting this assignment.
• Be sure to read all the directions carefully. You may discuss this with me, but you may NOT discuss it with anyone else. You are welcome to discuss problem 4 from Exam 3 with your classmates and the TAs, but you may NOT discuss this assignment with them.
• Print out this worksheet. If you need help getting a printout, come to office hours or let me know. You need to turn in the assignment on the handout.

Homework due Friday, December 6 at the beginning of class:

• Complete Week 15: Main Exercises on this handout. Remember that this should be your own work, and this assignment is graded for correctness as well as completeness. Your score is on the A,B,C,D,F-scale.
• Although I will not be collecting these, I highly recommend that you complete the following as if this was a warm-up exercise that will be collected on Friday: Section 4.4 (page 264): 39; Section 4.8 (pages 302-303): 63, 67, 71, 75, 79 and 86.
• Need some extra practice? Try these optional problems: Section 4.4 (pages 262-266): 20, 41, 45 and 55; Section 4.8 (page 302): 74, 77 and 84.

WEEK 14

Due to my son's doctor's appointment in Rochester, I will not be having office hours on Tuesday. If you would like to meet and can't make my Monday office hours, I can make appointments for other times on Monday or on Tuesday morning.

Homework due Monday, November 25 at the beginning of class:

• Complete Homework 34: Warm-Up Exercises: Section 4.7 (page 290): 42 and 44; Section 4.4 (pages 261-262): 9, 11 and 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.).
• Complete Section 4.8 Reading Assignment on this handout.
• Need some extra practice? Try these optional problems: Section 4.7 (pages 290-292): 31, 36, 40, 72 and 93.

Have a great Thanksgiving Break!

WEEK 13

Remember that our third exam is Thursday, November 21st in lab. I will hand out a review sheet in class on Monday. The exam will cover sections 3.8-4.3, 4.6 and 4.7.

Remember that labs are due Monday in class! One from each group. I will roll the die to see which group member will turn in his/her paper. Be sure you send your lab to class with someone else if there is a reason you cannot be there.

Homework due Monday, November 18 at the beginning of class:

• Week 12 Lab! Each lab group will turn in one lab write-up (see above).
• 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.
• Complete Homework 32: Warm-Up Exercises: Section 4.7 (page 290): 15, 17, 21, 25 (note that in this problem $h$ is the variable and $x$ represents a real number), 27, 30 and 63.
• Start reviewing for the exam. Figure out if you have any questions now so you can start asking on Monday or even over email beforehand!
• Need some extra practice? Try these optional problems: Section 4.6 (pages 279-280): 11, 15, 27, 31 and 35.

Homework due Wednesday, November 20 at the beginning of class:

• Complete Section 4.4 Reading Assignment on this handout.
• Complete Homework 33: Warm-Up Exercises 4.7 (pages 290-291): 33, 37, 38, 41, 69 and 71.
• Need some extra practice? Try these optional problems: Section 4.7 (pages 290-291): 18, 19, 23, 28, 29, 61 and 73.

Preparing for lab Thursday, November 21:

• Remember to bring at least one pencil, preferably two or more to the exam.
• Read through all my comments on graded work. Work through optional problems listed on the website as well as review problems. This is a great way to review!
• BREATHE!

Homework due Friday, November 22 at the beginning of class:

• Since your exam is on Thursday, I am not going to ask you to turn in anything on Friday, but I do still expect to have an active, productive and fun class about Sections 4.7 and 4.4 on Friday! Re-read Section 4.4. 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. Remember the answers to the Quick Checks are at the end of the exercises for that section. After you have reread the section, try a few exercises from 4.7 with indeterminate powers and from 4.4, such as Section 4.7 (pages 290-291): 43, 45 and 47; and Section 4.4 (pages 261-262): 9, 11 and 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.). Again, I won't be collecting these, but you should attempt them so that you are ready for lively conversation in class!

WEEK 12

Remember that labs are due Monday in class! One from each group. I will roll the die to see which group member will turn in his/her paper. Be sure you send your lab to class with someone else if there is a reason you cannot be there.

Homework due Monday, November 11 at the beginning of class:

• Week 11 Lab! Each lab group will turn in one lab write-up (see above).
• Go back and read the beginning of Section 4.3! Note how graphing calculators may be deceiving!
• Complete Section 4.6 Reading Assignment on this handout.
• Complete Homework 29: Warm-Up Exercises: Section 4.2 (page 244): 59 and 61. Section 4.3 (pages 254-255): 8, 11, 16 and 43.
• Need some extra practice? Try these optional problems: Section 4.3 (pages 254-255): 7, 9 and 37.

There will be a colloquium on Thursday, November 14th at 4:45pm in Napier 201. Two Mathematics majors are going to talk to us about their summer internship experiences with J.P. Morgan Chase. They will also give a brief review on math models popularly used in the financial world and the advantages of being a mathematician. Bonus points will be awarded for attendance.

Homework due Wednesday, November 13 at the beginning of class:

• Complete Homework 30: Warm-Up Exercises Section 4.3 (pages 255-256): 19, 21, 51 and 53. Section 4.6 (page 279): 7 and 9.
• Need some extra practice? Try these optional problems: Section 4.3 (pages 255-256): 29, 31, 35, 41 and 67.

Homework due Friday, November 15 at the beginning of class:

• Complete Week 12: Main Exercises on this handout. Remember that this should be your own work, and this assignment is graded for correctness as well as completeness. Your score is on the A,B,C,D,F-scale.
• Complete Homework 31: Warm-Up Exercises: Part 1: Prove that the function ${\small f(x)=-2x^{15}-5x+21}$ has exactly one real root. Part 2: Section 4.6 (pages 279-280): 17, 19, 23, 25 (explain why without finding the derivatives) and 29. If you haven't already, check out Quick Check 3 on page 278 in the reading before completing this assignment. Remember that the answers to the Quick Checks are at the end of the exercises for the section.
• Complete Section 4.3 Reading Assignment on this handout.
• Need some extra practice? Try these optional problems: Section 4.3 (pages 255-256): 17, 27 and 29.

WEEK 11

Remember that labs are due Monday in class! One from each group. I will roll the die to see which group member will turn in his/her paper. Be sure you send your lab to class with someone else if there is a reason you cannot be there.

I will be substituting for another professor on Friday afternoon of this week. Thus I will need to move my Friday afternoon office hour. It will be 3:30-4:30 on Friday.

Homework due Monday, November 4 at the beginning of class:

• Week 10 Lab! Each lab group will turn in one lab write-up (see above).
• Complete Section 4.2 Reading Assignment on this handout.
• Complete Homework 26: Warm-Up Exercises: Section 4.1 (pages 230-231): 27, 33, 47, 51, 53, 64 and 71. It is not necessary for you to complete the graphing calculator portion of these problems. Note that these problems include a nice review of things like product rule and logarithmic differentiation.
• Need some extra practice? Try these optional problems: Section 3.10 (page 215-216): 21 and 30. Section 4.1 (pages 230-231): 37, 45 and 73.

There will be a colloquium on Wednesday, November 6th at 4:30pm in Napier 201. Two Computer Science majors are going to talk to us about their summer internship experiences with Apple and Markit. Bonus points will be awarded for attendance.

Homework due Wednesday, November 6 at the beginning of class:

• Complete Homework 27: Warm-Up Exercises Section 4.2 (page 243): 14, 15, 21, 24, 27, 33 and 37. It is not necessary for you to complete the graphing calculator portion of these problems.
• Need some extra practice? Try these optional problems: Section 4.2 (page 243): 29 and 35.

Homework due Friday, November 8 at the beginning of class:

• Complete Week 11: Main Exercises on this handout. Remember that this should be your own work, and this assignment is graded for correctness as well as completeness. Your score is on the A,B,C,D,F-scale.
• Complete Homework 28: Warm-Up Exercises Section 4.2 (pages 243-245): 39, 46, 49, 51, 66, 70 and 75.
• Complete Section 4.3 Reading Assignment on this handout.
• Need some extra practice? Try these optional problems: Section 4.2 (pages 243-245): 42, 54, 55, 63, 65, 67 and 73.

WEEK 10

Due to an appointment I have on Wednesday afternoon, I will need to change my Wednesday office hours. They will be 2:00-3:00. As usual, if you cannot make these hours and need to speak with me, please make an appointment.

Homework due Monday, October 28 at the beginning of class:

• In class on Friday we worked through a bunch of problems in 3.8. You should be sure the five we put on the board make sense to you as well as the additional problems I asked you to look at. These are Section 3.8 (page 200): 27, 33, 41, 45, 47, 51, 55 and 63. Also check out these: Section 3.8 (pages 201-202): 71, 79 and 83.
• Complete Section 3.10 Reading Assignment on this handout.
• Complete Homework 23: Warm-Up Exercises: Before completing the warm-ups, reread Section 3.9. 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. Section 3.9 (pages 209-210): 12, 14, 17, 20, 23, 25, 31 (try applying Theorem 3.23). Section 3.8 (page 200): 50.

There will be a colloquium on Thursday, Oct. 31th at 4:45pm in Napier 201 about the actuarial career. Bonus points will be awarded for attendance.

Homework due Wednesday, October 30 at the beginning of class:

• Complete Homework 24: Warm-Up Exercises on this handout.
• Complete Section 4.1 Reading Assignment on this handout.
• Need some extra practice? Try these optional problems: Section 3.9 (page 209): 33, 37, 39, 41 and 43.

Homework due Friday, November 1 at the beginning of class:

• Complete Week 10: Main Exercises on this handout. Remember that this should be your own work, and this assignment is graded for correctness as well as completeness. Your score is on the A,B,C,D,F-scale.
• Complete Homework 25: Warm-Up Exercises: Section 3.10 (page 215): 15. Section 4.1 (pages 229-230): 10, 12, 13, 16, 18, 20, 22 and 23 (Note that there is more than one way to draw the graphs for 20 and 22!). As usual, it is not necessary for you to complete the graphing calculator portion of these problems. Note that I may call on people to present these problems at the beginning of class, so be prepared!
• Need some extra practice? Try these optional problems: Section 3.10 (page 215): 11, 13 and 21. Note that it is expected that you can figure these problems out!

WEEK 9

Remember that our second exam is Thursday, October 24th in lab. I will hand out a review sheet in class on Monday. The exam will cover sections 2.6 and 3.1-3.7.

Remember that labs are due Monday in class! One from each group. I will roll the die to see which group member will turn in his/her paper. Be sure you send your lab to class with someone else if there is a reason you cannot be there.

Homework due Monday, October 21 at the beginning of class:

• Week 8 Lab! Each lab group will turn in one lab write-up (see above).
• Complete Section 3.8 Reading Assignment on this handout.
• Complete Homework 21: Warm-Up Exercises: Section 3.7 (page 189-190): 5, 7, 11, 13 and 19. When differentiating implicitly to find $\frac{dy}{dx}$, differentiate terms involving only $x$ as usual; when differentiating terms involving $y$, use the chain rule thinking of $y$ as some unknown function of $x$. In Friday's class I asked you to think about the different steps you would do in order to differentiate implicitly. Here is one way to organize your approach when finding $\frac{dy}{dx}$: (1) differentiate both sides of your equation with respect to $x$, (2) collect all terms involving $\frac{dy}{dx}$ on one side and all terms not involving $\frac{dy}{dx}$ on the other, (3) factor out $\frac{dy}{dx}$, (4) solve for $\frac{dy}{dx}$.

Homework due Wednesday, October 23 at the beginning of class:

• Complete Homework 22: Warm-Up Exercises: There are eight problems total; four from Section 3.7 and four from Section 3.8. They are: Section 3.7 (page 189-190): 29, 32, 41 and 53; and Section 3.8 (page 199): 11, 13, 15 and 19.
• Complete Section 3.9 Reading Assignment on this handout.
• Work on making sure your questions on all the material we have covered since the last exam are all answered. Come to office hours! Bring questions to class on Wednesday!
• Need some extra practice? Try these optional problems: Section 3.7 (page 189): 24, 27, 31 and 47.

Preparing for lab Thursday, October 24:

• Remember to bring at least one pencil, preferably two or more to the exam.
• Read through all my comments on graded work. Work through optional problems listed on the website as well as review problems. This is a great way to review! Here are the final answers for the problems on the review sheet. UPDATE: There is actually an error in the answer for the last question. The numerator should read: 25y-3x^3-3xy^2. Sorry about that!
• BREATHE!

Homework due Friday, October 25 at the beginning of class:

• Since your exam is on Thursday, I am not going to ask you to turn in anything on Friday, but I do still expect to have an active, productive and fun class about Sections 3.8 and 3.9 on Friday! Re-read Section 3.8. Check out the proof of the Power Rule on page 196. Aren't inverse functions valuable???!!! If you haven't been doing the Quick Checks (highlighted in the margins) in the readings, start now. They are great for checking if you are beginning to understand the concepts as you go. The answers to the Quick Checks are at the end of the exercises for that section. After you have reread the section, try a few exercises like 27, 51, 55 and 63 on page 200. Again, I won't be collecting these, but you should attempt them so that you are ready for lively conversation in class!

WEEK 8

Have a great fall break!

Remember that labs are due Wednesday in class! One from each group.

Note that there will be no TA hours on Sunday or Monday, but there WILL be regular TA hours on Tuesday!

Homework due Wednesday, October 16 at the beginning of class:

• Week 7 Lab! Each lab group should turn in one lab write-up.
• Complete Homework 19: Warm-Up Exercises: Section 3.4 (pages 161-163): 13, 55 and 71; and Section 3.6 (page 180): 13, 14, 15, 25 and 27. The first three problems give us a little more practice with the trigonometric limits and derivatives. For Section 3.6, 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 13-15, DO be sure to identify the inner and outer functions. For the remaining exercises, you are not required to explicitly identify these.
• Rework your exam. Make sure all of it makes sense now. Come to office hours to see me to go over your corrections and discuss strategies for a better (or even better!) outcome next time.
• Need some extra practice? Try these optional problems: Section 3.6 (page 180): 11, 21, 22, 26 and 28.

Homework due Friday, October 18 at the beginning of class:

• Complete Week 8: Main Exercises on this handout. Remember that this should be your own work, and this assignment is graded for correctness as well as completeness. Your score is on the A,B,C,D,F-scale.
• Complete Section 3.7 Reading Assignment on this handout.
• Complete Homework 20: Warm-Up Exercises: Section 3.6 (pages 180-181): 30, 32, 39, 41, 45, 47, 51 and 57.
• Need some extra practice? Try these optional problems: Section 3.6 (pages 180-181): 29, 31, 35, 43, 49 and 61.

WEEK 7

Remember that labs are due Monday in class! One from each group.

Homework due Monday, October 7 at the beginning of class:

• Week 6 Lab! Each lab group should turn in one lab write-up.
• Complete Homework 16: Warm-Up Exercises: Section 3.2 (pages 142-144): 18, 19, 24, 25, 30, 32, 36, 38a, 41, 44, 47, 58 and 67. Shortcuts! Make sure you solve these only using the shortcuts from this section (power rule, constant multiple rule, sum rule, derivative of $e^x$) and your algebra skills! Be sure to show some work for these problems and not just the final answers. Although there are a few more problems in this assignment than in previous homeworks, as you practice, many of these should become relatively quick.
• Complete Section 3.3 Reading Assignment on this handout.

Homework due Wednesday, October 9 at the beginning of class:

• Complete Homework 17: Warm-Up Exercises: Section 3.3 (pages 152-153): 11, 15, 19, 22, 30, 52, 53, 55, and 64.
• Complete Section 3.4 Reading Assignment on this handout.
• Need some extra practice? Try these optional problems: Section 3.2 (pages 143-145): 43, 48, 50, 51, 59 and 75.

Homework due Friday, October 11 at the beginning of class:

• Complete Week 7: Main Exercises on this handout. Remember that this assignment is graded for correctness as well as completeness and your score is on the A,B,C,D,F-scale.
• Complete Section 3.6 Reading Assignment on this handout.
• Complete Homework 18: Warm-Up Exercises: Section 3.4 (page 161): 7, 9, 10, 11, 21, 28, 34, 37, 47 and 53. The first four are working with the new limits in this section. Look carefully at Example 1 on pages 156-157 to work on tackling these. Since our special limits are in terms of sine and cosine, you should make the functions you are taking the limits of in terms of those two functions. Remember that we haven't done Section 3.6 yet so you should attempt to work out the derivative questions without using the Chain Rule.

WEEK 6

Homework due Monday, September 30 at the beginning of class:

• Complete Homework 13: Warm-Up Exercises:
  • Section 2.6 (pages 103-106): 24, 32, 34, 37, 38, 48, 67 (another cool application of the Squeeze Theorem! Do you remember what the range of $f(x) = \arctan(x)$ is?), 85 and 88. Remember that we have lots of theorems about different kinds of functions now. To justify that a function is continuous or where a function is continuous, utilize these theorems. For example, polynomials are continuous everywhere (by Theorem 2.10), and the sine function is continuous everywhere (since its domain is all real numbers and by Theorem 2.14). Thus $f(x) = \sin(2x^3-15x+11)$ is continuous everywhere by Theorem 2.11, on the continuity of compositions of functions.
  • (a) What is the Intermediate Value Theorem? Write down the statement of the theorem as part of your warm-up exercises. (b) Then draw a picture illustrating a function that satisfies the theorem. (c) Lastly draw a function that does not. What property is your second function missing?
• Complete Section 3.1 Reading Assignment on this handout.

Homework due Wednesday, October 2 at the beginning of class:

• Complete Homework 14: Warm-Up Exercises: Section 2.6 (pages 104-106): 54a, 58 (As it says in the directions, you may/should use the new theorem proved in exercise 56: "The absolute value function $|x|$ is continuous for all values of $x$."), and 92. Also Section 3.1 (page 132): 7, 10, 12, 20 and 27. Note that this is a total of eight problems. Be careful to include your limit signs in the appropriate places and to follow the directions. In Section 3.1 we are using the definition of the derivative.
• Need some extra practice? Try these optional problems: Section 2.6 (pages 104-106): 63, 87, 89.

Homework due Friday, October 4 at the beginning of class:

• Complete Week 6: Main Exercises on this handout. Remember that this assignment is graded for correctness as well as completeness and your score is on the A,B,C,D,F-scale.
• Complete Section 3.2 Reading Assignment on this handout.
• Complete Homework 15: Warm-Up Exercises: Section 3.1 (pages 132-135): 33, 37, 40 (This is an example of a function where you can find the exact values for f'(x).), 44, 46, 51, 57 (I am especially interested in your thought process for this one so use sentences to describe your approach), 66 and 69. For those of you who know shortcuts, make sure you are using the definitions here...that means limits!
• Need some extra practice? Try these optional problems: Section 3.2 (pages 132-135): 41, 43, 47, 49, 53, and 65.

WEEK 5

Remember that our first exam is Thursday, September 26th in lab. I will hand out a review sheet in class on Monday. The exam will cover sections 1.1-1.4, 2.1-2.5 and 2.7.

Homework due Monday, September 23 at the beginning of class:

• Complete Homework 11: Warm-Up Exercises: Section 2.5 (pages 92-93): 11 (Apply the Squeeze Theorem! It works for limits at infinity as well.), 17, 18, 22, 24, 26, 33, 37 and 54.
• Need some extra practice? Try these optional problems: Section 2.5 (page 92): 4, 5 and 43.

Homework due Wednesday, September 25 at the beginning of class:

• Complete Homework 12: Warm-Up Exercises: Section 2.5 (pages 92-93): 27, 28, 45 and 52.
• Complete Section 2.6 Reading Assignment on this handout.
• Work on making sure your questions on all the material we have covered are all answered. Come to office hours! Bring questions to class on Wednesday!
• Need some extra practice? Try these optional problems: Section 2.5 (page 92): 29, 39 and 44.

Homework due Friday, September 27 at the beginning of class:

• Since your exam is on Thursday, I am not going to ask you to turn in anything on Friday, but I do still expect to have an active, productive and fun class about continuity on Friday! Re-read Section 2.6. If you haven't been doing the Quick Checks (highlighted in the margins) in the readings, start now. They are great for checking if you are beginning to understand the concepts as you go. The answers to the Quick Checks are at the end of the exercises for that section. After you have reread the section, try a few exercises like 9, 11, 13 and 15 on page 103. Again, I won't be collecting these, but you should attempt them so that you are ready for lively conversation in class!

WEEK 4

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

Remember that labs are due Monday in class! One from each group.

Homework due Monday, September 16 at the beginning of class:

• Lab 3! Each lab group should turn in one lab write-up.
• Complete Section 2.4 Reading Assignment on this handout.
• Complete Homework 9: Warm-Up Exercises: Section 2.3 (pages 73-74): 7, 16, 19, 29, 32, 39, 42, 45, 60 and 61. For exercises 21 and 29, be sure to apply only one limit law at a time and explicitly show how you have done so in each step, like in Example 2 (pages 66-67) and as shown for the limit of the polynomial ${\small p(x)}$ on page 67 in the text.
• Need some extra practice? Try these optional problems: Section 2.3 (pages 73-75): 6, 22, 44, 47, 55, 77 and 85.

Homework due Wednesday, September 18 at the beginning of class:

• Complete Homework 10: Warm-Up Exercises:
  • Section 2.3 (page 74) 53b and 54b. These two problems apply the Squeeze Theorem. The bounding functions are already given to you, that is, you may assume that the inequalities hold that are given at the beginning of the problem and/or in part a. You need not do part a, but you might find it interesting to see it on a graphing calculator. Your answers should clearly show you have checked the requirements of the theorem and should state that you are applying the Squeeze Theorem (something like "Thus by the Squeeze Theorem,...").
  • Now that you have worked with the Squeeze Theorem with given bounding functions, try one where you have to come up with your own! Evaluate the following limit: ${\small \lim_{x\to0}\Big(5x^4\cos\frac{1}{x}-6\Big)}$. Use what you know about the range of cosine to give yourself some initial boundaries and gradually build up to functions that bound the one in this limit. See Example 9 on page 72 in the text for some ideas.
  • Section 2.4 (pages 82-83): 10, 16, 23, 25 and 26.
• Need some extra practice? Try these optional problems: Section 2.3 (pages 73-74): 31, 43, 59, 63 and 65 .

Homework due Friday, September 20 at the beginning of class:

• Complete Week 4: Main Exercises on this handout. Remember that this assignment is graded for correctness as well as completeness and your score is on the A,B,C,D,F-scale.
• Complete Section 2.5 Reading Assignment on this handout.
• Guess what? I will not be collecting Warm-Up exercises on Friday. HOWEVER, you will be presenting problems from lab in class instead. Each group will present one. I will let you know at the beginning of class on Friday which one and you have a few minutes to set up before the presentation. Each presentation will be roughly 3-4 minutes long. In the meantime, try these for extra practice! Section 2.4 (page 83): 19, 21, 24, 27, 33, 36, 38 and 41. Note that while I am not collecting these, you should know how to do them (and all optional problems for that matter!)!

WEEK 3

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 the first half of this week are: Monday 2:30-3:15pm, Tuesday 1:15-2:15 and Wednesday 2:30-3:30pm. If you cannot make these times and need to see me, please make an appointment.

Remember that projects are due Monday in class!

Homework due Monday, September 9 at the beginning of class:

• Project 1!
• Reflect on your contributions and each of your group member's contributions to the project. Then privately fill out a self/partner evaluation. You will hand these to me and they are not to be shared with your groupmates. If you were in a group of two (that is you and one other person), fill out this form. If you were in a group of three, fill out this form.
• Complete Homework 6: Warm-Up Exercises: Section 2.1: 3, 6, 8, 10 (Then add five columns to your table in number 10 with intervals [${\small x}$,2] where ${\small x}$ is getting closer and closer to 2, but less than 2; for example, the intervals [1,2] and [1.9,2]. Do you still have the same conjecture for the instantaneous velocity?) (page 55), and Section 2.2: 4, 5, 12, 20, 21 (pages 61-63). Remember to show your work! It is helpful to have a calculator for some of these; if you would like to borrow one and work in Lansing 310, let me know.

Homework due Wednesday, September 11 at the beginning of class:

• Complete Section 2.7 Reading Assignment on this handout.
• Complete Homework 7: Warm-Up Exercises: Section 2.2 (pages 62-64) 18, 23, 24, 30, 31 and 39 (think about what the graph looks like).

Note that due to individual appointments about your essays, some of my open office hours are shortened/changed this week and will be next week. The revised office hours for Friday are: F: 1:50-2:30. If you cannot make these times and need to see me, please make an appointment!

Homework due Friday, September 13 at the beginning of class:

• I hear there is a stapler in the library with free staples! Please use it if you don't have your own and have multiple pages for a single assignment. Remember, however, that the three assignments below should be kept separate.
• Complete Homework 8: Warm-Up Exercises: Section 2.7 (pages 115-116) 7, 10, 12, 19 and 20. Be sure to explain number 7. For 10 and 12, be sure to explain your answers with words and/or diagrams. Numbers 19 and 20 are PROOFS. We will discuss their format a bit in lab on Thursday.
• Complete Section 2.3 Reading Assignment on this handout.
• Complete Week 3: Main Exercises as follows (there are three problems: two from the text and one you may recognize from the practice problems handout). Section 2.2: 32 and 40 on pages 63-64. Also complete the following: "Find the domain of ${\small f(x)=\ln\Big(\frac{x+3}{x-2}\Big)}$. Justify your answers. Give your solution in interval notation." Be sure to show detailed work, justifying each step and follow the directions. Remember that this assignment is graded for correctness as well as completeness and your score is on the A,B,C,D,F-scale.

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 the first half of this week are: Monday 2:30-3:15pm, Tuesday 1:15-2:15 and Wednesday 2:30-3:30pm. If you cannot make these times and need to see me, please make an appointment.

Homework due Monday, September 2 at the beginning of class:

• Complete Section 1.4 Reading Assignment on this handout.
• Complete Homework 3: Warm-Up Exercises for Section 1.3: 12, 15, 21, 25, 33, 35, 37, 43, 57, 59 (pages 32-33).

TA Office Hours started this week! Their hours are Sunday-Thursday 7:00pm-11:00pm in Lansing 310. Remember that these are not instead of my office hours, but an additional resource. I hope that you take advantage of both.

Homework due Wednesday, September 4 at the beginning of class:

• Review your reading in Sections 1.3 (especially the material on exponentials and logarithms) and 1.4.
• Complete Homework 4: Warm-Up Exercises: Section 1.3 (page 33) 39, 41 and 61, and Section 1.4: 19, 27 (think: half angle forumla!), 31, 45, 53, 61 (page 44).

Note that due to individual appointments about your essays, some of my open office hours are shortened/changed this week and will be next week. The revised office hours for Friday are: F: 1:30-2:00. If you cannot make these times and need to see me, please make an appointment!

Homework due Friday, September 6 at the beginning of class:

• Complete Homework 5: Warm-Up Exercises: Section 1.3: 60, 67 (page 33), Section 1.4: 33, 39, 40, 43, 65 (page 44).
• Complete Section 2.1 Reading Assignment on this handout.
• Complete Week 2: Main Exercises as follows. Section 1.3: 42 and 66 on page 33, and Section 1.4: 30 (Assume that you need to find solutions within the interval from ${\small 0}$ to ${\small 2\pi}$. Hint: Think factoring!) 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! Hint: Give the viewing angle to the bottom of the television a name.) on pages 44-46. Be sure to show detailed work and follow the directions. Remember that this assignment is graded for correctness as well as completeness and your score is on the A,B,C,D,F-scale.

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.

Homework due Tuesday, August 27 by 3:00pm in my office:

• Read the green syllabus (Section 2, and Section 3). 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.
• Write an autobiographical essay as assigned at the end of the syllabus ("Homework 0").
• 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 write down the Quick Check Questions, but they are helpful to do. Answers to the Quick Check questions are at the end of each section.) You should feel very comfortable with this material.
• Complete the Homework 1: Reading Assignment on this handout.

Homework due Wednesday, August 28 at the beginning of class:

• Complete the Homework 1: Warm-Up Exercises on this handout.
• Optional problems (You should feel comfortable doing these, but you need not write them down): Appendix A (page 1068): 11, 20. Section 1.1 (pages 8-9): 51, 53 and 54.

Note that due to individual appointments about your essays, some of my open office hours are shortened/changed this week and will be next week. The revised office hours for this week are: W: 2:30-3:40, and F: 1:30-2:00. If you cannot make these times and need to see me, please make an appointment!

Homework due Thursday, August 29 at the beginning of lab:

• Complete the Homework 2: Reading Assignment on this handout.
• Optional problems (You should feel comfortable doing these, but you need not write them down): Appendix A (page 1068): 28, 39, 41. Section 1.1 (page 8): 28, 29, 39.

Homework due Friday, August 30 at the beginning of class:

• Complete the Homework 2: Warm-Up Exercises on this handout.
• Complete the Homework 3: Reading Assignment on this handout.
• Complete Week 1: Main Exercises as follows. Appendix A: 34 and 45 on page 1068, and Section 1.1: 16 and 75 on pages 8-9. Be sure to follow the directions. Number 45 (Appendix A) asks you to explain your work. For number 16 in Section 1.1, you need not graph the function; show how you determine domain without the graph. Remember that this assignment is graded for correctness as well as completeness and your score is on the A,B,C,D,F-scale.
• Optional problems (You should feel comfortable doing these, but you need not write them down): Section 1.1 (page 9): 65-73 odd.

Last modified: Friday 6 December 12:40t:30 EST 2013