Math 251: Calc I- Spring 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. All homework assignments are due at the beginning of class the Tuesday following the week it is assigned, unless otherwise specified.

Tentative Class Schedule

Homework Assignments

Due Date
Week 1: Algebra Review

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)

Functions Worksheet -- Hand drawings are missing on web version

Inverses Worksheet

Read "A Preview of Calculus" pages 3-9 carefully. Then answer:
  1. Tell me your name, your most recent math class (and when), and anything else you think I should know about you as a student. Include things I can do to make math class better for you.
  2. What types of problems will we learn to do (or do better) with "calculus?" (problems that may have been difficult or impossible before)
  3. Name at least 5 mathematical ideas demonstrated in the preview that you have seen before. ex) fractions, labeling units (ft/s), etc
(whole assignment should be 1/2 to 1 page) 		Thursday, April 5th
Homework 1: Ch 1 Review: (p84) 2, 3, 5 ,6, 9-16, 18, 19, 22, 24

Expect a quiz on Tuesday. Algebra Review (The quiz will also cover functions and Ch 1.)

 Tuesday, April 10th
Week 2: Introduction to Limits

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

Limits 1 Worksheet -- Hand drawings are missing on first page of web version

Homework 2:

Pg 106-7, #1-7 , 9-12 , 14, 16

Pg 126, #4, 7, 23, 24, 31

Tuesday, April 17th
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:

Pg 115-6, #3-21 odd

Pg 126, #10, 11, 13-16 (all)

Pg 137-9, #1, 6-9 (all), 15-25 odd

Tuesday, April 24th

I won't collect this HW until Thursday, April 26th

Week 4: Midterm and Midterm Review

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

Limits 4 Worksheet

Review on Tuesday. Bring questions

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?

Midterm on Thursday, April 26th

Week 5: Introduction to Derivatives

Relevant Sections: Sections 2.7 & 2.8 and part of 3.1

Slope 1 Worksheet

Slope 2 Worksheet (Due with Homework)

Homework 4: (Please label your papers carefully, with your name and the book sections and problem numbers. )

Pg 153-4, #13-18, 19-24 (Read directions carefully. These 6 problems do not ask you to compute a limit), 25-29

Pg 191, #3-9 & 12-18, 26

Slope 2 Worksheet: To be handed out on Thursday.

 Due Date changed to May 10th
Week 6: More Derivatives

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

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?

3.1: Pg 191: 10, 11, 37 & 38 (To find the second derivative, take the derivative of the derivative f '(x))

3.2: P 198: 1-8, 13, 15, 16, 37 (If you want extra practice, any from 1-20 are good)

Slope Question: (This is not from the book, but include it as the last problem in your homework)

  • Write down all the words and equations you know for slope, including the derivative formulas. There may be bonus points here, if your list is sufficiently long and well organized.
Tuesday, May 15th
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

Derivatives 1 Wkst

Derivatives 2 Wkst

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

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

Tuesday, May 22nd
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

Derivatives 3 Wkst - Extremes

Things to expect on the exam (Thursday):
  • Derivative Rules: Product, Quotient, Chain, sum, and difference rules
  • Find derivatives using the limit definition
  • Drawing a derivate from the original function
  • Find a line tangent to a curve at a particular point
Homework:

Derivatives 3 Wkst - Extremes -- This will likely require you to review your algebra skills for solving for 0. Making yourself a study guide might help.

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

Tues, May 29th
Week 9: Applications of Derivatives

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

Derivatives 4 Wkst - Applications

Finish Derivatives 4 Wkst by Thursday. Be ready for a quiz.

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

Boldly try new things. The best and worst that can happen is that you will learn something.

Tues, Jun 5th

Due date changed. Turn in this HW at the time of the final.
Notes about final: Some review questions are listed below. Also look over the worksheets again. To prepare for the test, try reviewing and then pick out 20 problems from throughout the term. Close your book and your notes while you work on the problems. Then check your answers once you feel you are done.
Week 10: Wrap-up

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

Review from last day of class
FinalTuesday, June 12th, 10:15am to 12:05

Bring a pencil, and eraser!

Formulas -- Let me know if I missed any, or if there are typos

Good Study Problems for the Final: