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# Calculus I (Math 170), Spring 2011

### Basic course information

Basic course information, including the text book and my office hours, can be found here.

### Homework assignments

Homeworks will count for 20% of your grade. Homeworks may not be turned in late.
 Homework #1 Due Friday, Jan 21, at the start of class. From the online-text : Exercises 1.1, Problems 1,3,5,7,9; Exercises 1.2, Problem 1; Exercises 1.3, Problems 2,4,6,8,10. Homework #2 Due Friday, Jan 28, at the start of class. From the online-text : Exercises 2.1 : #4,5,6; From Schaum's Outline, Page 51 : #8,9,14,15,20. From the online text : Exercises 2.3 : #1, 3,5,7,8,9. Homework #3 Due Friday February 4, at the start of class. Schaum's Outline : Page 62, #16, 17, 18. Online-text : Exercises 2.4 (Page 40) : #1, 3, 5. For these problems, you must use the definition of the derivative! Homework #4 Due Friday February 11, at the start of class. Online-text : Exercises 3.1 (Page 48) : #1-6; Exercises 3.2 (Page 50) : #1-8; Exercises 3.3 (Page 52) : #1-5; Exericises 3.4 (Page 56) : #1-4; Exercises 3.5 (Page 60) : #1, 3, 5, 7. Schaum's Outline : No problems from Schaums this week! Homework #5 Due Friday February 25, at the start of class. Exercises 3.5 (Online-text, page 60) : #9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 36, 38, 40. Exercises 4.1 (Online text, page 66) : #1, 2. Exercises 4.3 (Online text, page 69) : #4, 6. Exercises 4.5 (Online text, page 71) : #1, 2, 15. Turn in first lab project. See below Homework #6 Due Friday March 4, at the start of class. Exercises 4.4 (Online text, page 70) : #1, 3, 5. Exercises 4.5 (Online text, page 71) : #3, 4, 5, 11, 13, 16. Exercises 4.6 (Online text, page 74) : #1, 3, 5 Exercises 4.7 (Online text, page 79) : #1, 3, 5, 7, 9, 11, 15, 16. Homework #7 Due Friday March 11, at the start of class. Exercises 4.8 (Online text, page 83) : #2, 3, 6 Exercises 4.9 (Online text, page 87) : #1, 3, 4, 6, 14 Exercises 4.10 (Online text, page 91) : #2, 4, 8, 10 Exercises 4.11 (Online text, page 94) : #1, 4. Homework #8 Due Friday March 18, at the start of class. Exercises 5.2 (Online text, page 100) : #1,3,5,7,9 Exercises 5.3 (Online text, page 102) : #2,4,6,8,10 Exercises 5.4 (Online text, page 103) : #3,5,7,9,11 Homework #9 Due Friday April 8, at the start of class. Exercises 6.1 (Online text, page 117) : #2, 9, 10, 16, 19, 21, 24. Exercises 6.2 (Online text, page 125) : #3, 6, 9, 12, 15, 18, 21. Homework #10 Due Friday April 15, at the start of class. Exercises 6.4 (Online text, page 135) : #1, 3, 5. Exercises 6.5 (Online text, page 138) : #1, 3, 4, 6, 7, 8, 10. Exercises 7.1 (Online text, page 145) : #1-8. Homework #11 Due Friday April 22, at the start of class. Exercises 7.2 (Online text, page 151) : #1-19 (odd problems) Exercises 7.3 (Online text, page 138) : #2-6 Exercises 8.1 (Online text, page 162) : #1-11 (odd problems) Homework #12 Due Monday May 2, at the start of class. Exercises 8.2 (Online text, page 165) : #1, 2, 5, 6, 8, 10. Exercises 8.3 (Online text, page 168) : #4, 5, 6, 9.

### In class Matlab exercises

 Lab #1 Using the derivative to plot tangent lines; Finding the limiting behavior of functions. Lab #2 Finish up using the derivative to plot tangent lines; Finding the limiting behavior of functions. Lab #3 Matlab scripting. Lab #4 Wednesday February 23, 2011. Finish up problems from Lab #3, for hand in on Friday 2/25. Learn about trigonometric functions in Matlab. Lab #5 Wednesday March 2, 2011. Practice using the exponential and logarithm functions Lab #6 Wednesday March 9, 2011. Help Dr. Horrible get into the Evil League of Evil. Lab #7 Wednesday April 6, 2011. Newton's Method

 Midterm #1 Friday, February 18. Through Chapter 3.4 Midterm #2 Tuesday, March 22. Expect material from 3.5, Chapter 4, and Chapter 5 through 5.3. Here is a Review for the midterm Midterm #3 Wednesday, April 27. Material from Chapters 6 and 7. Review for Midterm 3.
 Quiz #1 Friday, February 11. Quiz #2 Tuesday, March 15. The quiz will have 3 problems, chosen from the following list in your Online text : Section 4.5 : 1-12 Section 4.7 : 1-18 Section 4.9 : 1-8 Section 4.10 : 4,5,8,9,10 You should also know the definitions of sinh(x), cosh(x) and tanh(x) and their derivatives. There will also be an extra credit problem, not from this list Quiz #3 Wednesday, April 20 (due in class on Friday 4/22). The quiz will be a take-home quiz, covering material from Chapter 4.

## Other useful information

### Grades so far... (posted 5/2/2011)

Below are the total grades at this point in the course. To compute your score for this chart, use the following formula

This is only an indication of where you are in the class at this point. Your final grade may be different!

### Midterm #2 Review

We will have our second midterm on March 22. Here are some review problems from our online text and from Schaum's Outline. Some of these may well show up on the midterm

Schaums' Outline

 Chapter 10 Rules for Differentiating Functions. Page 87 : #27 - 45 Chapter 12 Tangent and Normal Lines Page 96 : #13, 14, 15, 16 Chapter 14 Maximum and Minimum Values Page 115 : #23, 24. Chapter 15 Curve Sketching. Concavity. Symmetry Page 122 : Study "Hints for sketching the graph of y=f(x)" - in particular, hints 1-8. (We haven't covered oblique asymptotes) Page 123 : #1, 2, 3. Page 127 : #13 (b, c, e, f, g, h, i). Chapter 16 Review of Trigonometry This is a good review of trigonometry Chapter 17 Differentiation of Trigonometric Functions You should know the derivatives of sin(x), cos(x), and tan(x), and be able to compute the derivatives of sec(X), csc(x), cot(x). Page 145 : #6, 7, 10, 11, 12. Page 149 : #24, 25, 27, 31. Chapter 18 Inverse Trigonometric Functions You should know the derivatives of arcsin(x), arccos(x) and arctan(x). You should also be able to find the derivatives of arccot(x), arcsec(x), and arccsc(x) by implicit differentiation. Page 156 : Find the derivatives y' in #1, 2, 3, 4, 5, 9. Page 158 : Find the derivatives y' in #17, 18, 19, 20, 21 Chapter 26 Exponential and Logarithmic Functions Page 218 : #1, 2, 8 Chapter 27 L'Hopitals Rule Page 227 : Show the limits are true in #10 (a-z). Note You may find the occasional typo in the Schaums' Outline text, or answers that appear to be not directly relevant to the problem. (For example, they give you y'' when only y' was asked for.)

Online Text

 Section 3.5 The Chain Rule. Page 60 : Problems #1-39, (except those involving multiple square roots, such as 8, 16). Section 4.1-2 You are responsible for the material in Sections 4.1 and 4.2. Section 4.3 You should know that limit (x --> 0) sin(x)/x = 1. Section 4.4 Problems #1-5. Section 4.5 Problems #1-12 Section 4.7 Problems #1-18 Section 4.9 Problems #4, 5, 8, 9, 10 Section 4.10 Problems #1-5, 8-12 Section 4.11 Problems #6. You should know the definitions of cosh(x), sinh(x), and be able to derive the definitions for the remaining 4 hyperbolic functions. See Defintion 2.22, page 92. You should also know the derivatives for sinh(x) and cosh(x). Chapter 5 Sections 5.1, 5.2 and 5.3. You should know how to apply the first and second derivatives tests. Section 5.3 : Problems #1-18.

### Distribution of Midterm #1 results (posted 2/21/2011)

Here is a distribution of the midterm exam results. If your score is above the green line, you are doing fine. If your score is below the red line, you need to think seriously about how to improve your grade, or you may be in danger of failing the course. If you are between the two lines, you still have room to improve your understanding of the material, but should not worry too much about your standing in the course.

In the graph below, student "rank" in order of scores are along the x-axis, and students scores (out of a max of 70, plus 6 extra credit points) are along the y-axis.

### Using the Chain Rule (posted 2/9/2011)

Here is another way to think about using the Chain Rule

Thanks to Sean McShane for suggesting that I post this explanation.

### Computer Lab : Wednesday Feb. 9 (posted 2/9/2011)

We will meet in the MG104 for our computer lab

### Short Quiz on Friday Feb. 2 (posted 2/8/2011)

Finally, a chance to see what you know! We will have a short quiz on Friday Feb. 2.

### Midterm #1 has been rescheduled to Friday Feb. 18 (posted 2/8/2011)

I have rescheduled the midterm for Friday, February 18. The material we will cover will be through the end of Chapter 3 in your on-line text.

### History of Calculus on YouTube (posted 2/7/2011)

A very nice BBC Documentary on the history of Mathematics. This link talks about the controversy between Newton and Leibniz, both considered the inventors of calculus.

### The Derivative (2/4/2011)

For a nice demonstration of the derivative as the slope of a tangent line, see The Derivative.

### First Midterm scheduled for Monday, February 14 (2/1/2011)

Our first in class midterm is scheduled for Monday, February 14. It will cover material through Wednesday Feb. 9th.

### Meeting in Math Lab (MG104), Wednesday Feb. 2 (2/1/2011)

For the next few Wednesday's at least, we will be meeting in the Math Lab, MG104 for class. Go directly to the lab, not to our regular classroom first.

### Including 'infinity' is not a completely crazy idea (1/31/2011)

In class, we have treated 'infinity' as if it were a real number. In fact, we have extended the real number to include positive and negative infinity. You can read more about this wacky idea here.

### My office hours (1/25/2011)

My office hours for this semester will be Wednesday 1:30-2:30, or by special appointment.

I've sent an e-mail to my new e-mail list for Math 170. If you did not receive an e-mail from me, can you please re-send me an e-mail at calhoun@math.boisestate.edu with the subject "Math 170"? I most likely got your name mixed up with my other class.

If you get an e-mail but from the wrong list (i.e. my linear algebra class), also please let me know.

### ALEKS Assessment - Deadline Monday, January 24th

Don't forget to take the ALEKS assessment before 6PM, January 24. Failure to take this assessment and get an acceptable score may result in a lower final grade for Calculus. Please click here for more information.

### Send me an e-mail!

Please send me an e-mail at calhoun@math.boisestate.edu so that I can compile an e-mail list for the class. At the very least, include a subject header that says "Math 170". You may leave the message area blank.