Math 3
Calculus
Last updated November 09, 2023 09:31:35 EST

Announcements:

• Our Final exam will be Friday, November 17, from 11:30 to 2:30 in 100 LSC (Oopik Auditorium)

### Homework Assigments

Week of September 11 to September 15
 Monday: Study: Review Sections 1.4 and 1.5 on exponentials and logarithms. We will have little say about these sections in class. You should also read Section 2.1 Do: Work "Homework 0" from our gradescope page. This is just a practice assignment to ensure that you know how to access, scan, and upload the written assignments. Work WeBWork 1. The purpose of this assignment is to allow you to familarize yourself with how WeBWork works. Note that you access WeBWork through the "Assignments" link on our canvas page. Suggested Self Study: Although it is not required, you can enhance and confirm your understanding of each section in the text that we cover by working odd numbered problems in the exercises. (Usually, the solutions to the odd numbered exercises are in the back of the book.) Here you might look at 1, 3 and 19 in Section 1.4, 1, 25, and 39 in Section 1.5, and 1 and 5 in Section 2.1. Wednesday: Study: Read Sections 2.2 and 2.3 in the text. Do: Work WeBWork 2. NOTE: there was an issue with Problem 1 on WeBWork 2. Originally, the question asked about limits at infinity which we don't over until section 2.6. These questions are gone now, but if you already worked the question you don't have to go back. For the record, $\displaystyle \lim_{x\to\infty} f(x)=-2$ and $\displaystyle \lim_{x\to -\infty}f(x)=2$. Download the first written assignment from gradescope. It is not due until Monday, but you can work the appropriate problems as we cover the material in lecture. Suggested Self Study: In section 2.2, look at 5, 7, 11, 29, and 31. (Recall that you are not required to work self study problems nor should you turn them in.) Friday: Study: Read Section 2.4. Do: Work WeBWork 3. Finish the first Written assignment. Week one is nearly in the books. Enjoy the weekend. Suggested Self Study: In section 2.3, look at 17, 19, 33, and 41. In section 2.4, look at 1, 15, and 23. If you'd like a challenge, try 36 or 37.

Week of September 18 to 22
 Monday: Study: Read section 2.5. Review appendix D on trigonometric functions. Do: Work WeBWork 4. Suggested Self Study: In section 2.5 try 3, 25, 43, 49, and 59. Wednesday: Study: Read section 2.6. Do: Work WeBWork 5. Download the Homework 2 from gradescope and get started on the relevant problems. Suggested Self Study: In section 2.6 consider 3, 13, 25, and 31. Friday: Study: Read sections 2.7 and 2.8. Do: Work WeBWork 6. Finish Homework 2 on gradescope. Suggested Self Study: In section 2.7, look at 5, 13, 39, and 53. In section 2.8, consider 1, 3, 31, 39, and 59.

Week of September 25 to 29
 Monday: Study: Read section 3.1. A brief review of exponential functions in section 1.4 would not go amiss. Do: WeBWork 7 Suggested Self Study: In section 3.1, try 13, 35, 39, 53, and 81. Wednesday: Study: Read section 3.2 Do: WeBWork 8 Download written homework 3 and start on the relevant problems. Suggested Self Study: In section 3.2, try 33, 35, 51, 55. Friday: Study: Read section 3.3. Review Appendix D on trigonometry if necessary. Do: WeBWork 9 Finish written homework 3. Suggested Self Study: In section 3.3, try 21, 35, 39, 49, and 55.

Week of October 2 to 6
 Monday: Study: Read Section 3.4 of the text. Do: Study for the Preliminary exam tomorrow. Recall that the exam is from 4-6pm in room 100 in the Life Science Center (Oopik Auditorium). The exam covers through section 3.3 in the text and does not cover the Chain Rule. WeBWork 10. Yes there is an asignment today, but it is not due until Thursday. Suggested Self Study: In section 3.4, try 19, 27, 39, and 53. Wednesday: Study: Read Section 3.5 of the text Do: WeBWork 11. Get started on the written homework. Suggested Self Study: In section 3.5, try 7, 15, 29, and 33. Friday: Study: Read Section 3.6 and 3.7 of the text. We will cover little, if any, of section 3.7 in lecture. But there are some interesting applications of differentiation there. Do: WeBWork 12. Finish the written homework. Suggested Self Study: In section 3.6, try 7, 37, 47, 51, and 67. In section 3.7, try 5, 11, and 17.

Week of October 9 to 13
 Monday: Study: Read section 3.8 Do: Do WeBWork 13. Suggested Self Study: In section 3.8, try 3, 9, 11, 15 Wednesday: Study: Read section 3.9 Do: Do WeBWork 14 Start the written homework. Suggested Self Study: In section 3.9, try 17, 19, 25, and 39. Friday: Study: Read section 3.10 and 3.11. The key concept in section 3.10 is the linearization of a function at a point $a$, and using the linearization to approximate the function near $a$. We will have time to only quickly cover the material in section 3.11. The key idea here is the definition of $\sinh(x)$ and $\cosh(x)$. Then the additional properties are derived as for the trigonometic functions and the identity $\cosh^2(x)-\sinh^2(x)=1$. Do: Do WeBWork 15 Finish the written homework. Suggested Self Study: In section 3.10, try 5, 7, 9, and 41. In section 3.11, try 11, 19, 37, and 41.

Week of October 16 to 20
 Monday: Study: Read section 4.1. Do: WeBWork 16 Start written homework when available. Suggested Self Study: In section 4.1, try 13, 37, 53, and 55. Wednesday: Study: Read section 4.2 and start section 4.3 Do: WeBWork 17 Continue with written homework. Suggested Self Study: In section 4.2, try 5, 7, 23, and 39. In section 4.3, try 5 and 9. Friday: Study: Finish section 4.3. Do: WeBWork 18. Finish written homework. Suggested Self Study: In section 4.3, try 5, 17, 27, and 29.

Week of October 23 to 27
 Monday: Study: Read section 4.4 Do: WeBWork 19. Start the written homework. Suggested Self Study: In section 4.4, try 31, 47, and 53. Wednesday: Study: Read section 4.5 Do: WeBWork 20. Study for the exam tomorrow Suggested Self Study: In section 4.5, try 3, 9, 15, and 33 Friday: Study: We are not covering section 4.6. Read section 4.7 Do: WeBWork 21. Finish the written homework. Suggested Self Study: In section 4.7, try 3, 17, 19, and 27.

Week of October 30 to November 3.