Math 251: Calc I - Fall 2007

Instructor: Jodi Fasteen

This is a tentative schedule, the schedule and the assignments are subject to change. Check this website for changes and beware of announcements and worksheets handed out in class.

Tentative Class Schedule

Homework Assignments

Due Date
Week 1: Review Algebra, Graphing, & Slope

Relevant Sections: Chapter 1 of Stewart book and your math books from previous math classes

(such as Math 70, 95, 111, and 112 at PSU)

Slopes of Lines WKST .(not hw)

Homework 1: Ch 1 Review: (p84) 2, 3, 5 ,6, 9-16, 18, 19, 22, 24 Friday, Sept 28th
Week 2: Introduction to Limits

Relevant Sections: Section 2.2 and part of 2.4 in Stewart book

Homework 2:

(sect 2.2) Pg 106-7, #1-7 , 9-12 , 14, 16

(sect 2.4) Pg 126, #4, 7, 23, 24, 31

Fri, Oct 5th
Week 3: Computing Limits

Relevant Sections: Section 2.3, 2.4, and 2.5 in Stewart book

Limits 2 Worksheet

Limits 3 Worksheet

Homework 3:

(sect 2.3) Pg 115-6, #3-21 odd (will be covered Monday)

(sect 2.4) Pg 126, (omit #10, 11), 13-16 (all), 32, 33

(sect 2.5) Pg 137-9, #1, 6-9 (all), 15-25 odd (will be covered Wednesday)

Fri, Oct 12th
Week 4: Midterm and Midterm Review

Relevant Sections: Chapter 1 and Sections 2.2-2.5 in Stewart book

Fancy Theorem Day In class worksheet

Limits 4 Worksheet -- Good review for midterm.

Homework 4: Study for the midterm

Challenge questions (for Bonus points), due at the time of the exam, Friday.

Instead of a practice test, the worksheets we've done in class would be a better study tool. They are also posted online. Be prepared to answer concept questions and numerical questions.

ex) What is the limit of f(x) as x approaches 7? (with equations/algebra or with graphs)

ex) Why is it that graphing a function is sometimes not enough to find limits? What does it mean if a function approaches two different values from two different sides? What does it mean when a limit goes to infinity? How can you tell if a function is continuous?

ex) Explain formally and informally what a limit is. Explain formally and informally what it means for a function to be continuous.

Midterm on Friday, October 19th

Drop Deadline

End of This Week

The last day to drop the class without it appearing on your transcript is Sunday, Oct 21st. If you would like to get your midterm score before the drop deadline, that can be arranged. Include your pdx email address on the top of your midterm. (Use pdx.edu address, not yahoo, hotmail, etc)

Week 5: Introduction to Derivatives

Relevant Sections: Sections 2.7 & 2.8 and part of 3.1

Monday's Worksheet: Slope

Building the Power Rule.

Deriv: What do they mean and True/False.

Create a study sheet about the trig functions sin(x), cos(x), tan(x). It should be one full sheet, one side, in excellent handwriting. Make sure it answers the following questions:
  • What do these functions mean in terms of the unit circle (or in terms of triangles)?
  • What are the graphs of these functions?
  • What is interesting about the patterns of these functions? (How long are the cycles, how big and small do their graphs get?)
  • How do you find the exact values for x=0, pi/2, pi/4, pi, 4pi/3?

Book problems :

Pg 153-4, #13-18, 19-24 (Read directions carefully. These 6 problems (19-24) do not ask you to compute a limit)

Fri, Oct 26th
Week 6: More Derivatives

Relevant Sections: Sections 3.1, part of 3.2, 3.4, 3.5, & 3.7 in Stewart book

Deriv 1: Product and Quotient Practice

For this HW set, you are encouraged to use the "Rules" from section 3.1 and 3.2. This will make the problems far quicker than with the limit definition of derivative.

3.1: Pg 191, #3-18, 26 (tangent line only), 37 & 38 (To find the second derivative, take the derivative of the derivative f '(x)) (material mostly covered Monday)

3.2: P 198: 1-8, 13, 15, 16, 21 (only the tangent line, not the normal line), 37 (If you want extra practice, any from 1-20 are good) (Material to be covered Wednesday)

Fri Nov 2nd
Week 7: Even More on Derivatives

Relevant Sections: Sections 2.9, 3.4, 4.2, 4.3 and parts of 2.6, 2.8, 3.1, 3.2 in Stewart book

Deriv 2: Chain Rule Practice

Deriv 3: Extreme Concepts -- Friday

3.4: Pg 219, 1-10, 13-15 (Prove these using what you know about (sin x)' and (cos x)'), 17, 18, 23, 27

We will cover the trig section on Monday.

3.5: Pg 228-9, 3-13, 15, 17, 21, 23, 35, 36, 41, 43

We've already covered the chain rule, but not the trig functions, so you can do many of these already

Bonus Project : 5pts (in HW category)

Create a visual model to help you find the derivative of (f(x))^2 and (f(x))^3. Keep in mind that f(x) is about a length and (f(x))^2 is about area, so what would (f(x))^3 represent? Also, you are interested in the derivative, not just the original function. Your visual model can be a 2 or 3 dimensional structure, or carefully drawn pictures. You will also need to include words to explain your thinking.

NOTE: The Bonus IS due this Friday. If you would like to keep your HW to study until the midterm, Fri Nov 16th, that would be acceptable.
Friday, Nov 9th
Week 8: Midterm and Midterm Review

Relevant Sections: Sections 2.6-2.9, 3.1, 3.2, 3.4, 3.5, 3.7, 4.2, & 4.3 in Stewart book

Monday : Veterans Day (observed)

Wednesday : Review for test

Friday : Midterm 2

HW: Study for test.

Week 9: Applications of Derivatives

Relevant Sections: Section 3.3, 4.1-4.3 in Stewart book

4.2 (p275) 5-8, 11, 12, 15-20, 24, 26, 27, 38, 40, 42

Due on Wednesday, Nov 21st
Week 10: Wrap-up

Review everything we have done this term (Chapter 1, 2, 3 & Sections 4.1-4.3)

Actual Assignment for Week 10:

4.2 (p275) 29-36, 39, 43-48

4.3 (p287) 7-12, 17, 19-24

3.6 (p238) 1, 2, 3, 5, 7, 9, 15, 16, 17, 18

Due on Friday, Nov 30th
Review for Last Day of Class
Final

Good Study Problems for the Final: