Math 207 Page

Jim Olsen's Math 207 students

Page continually under construction

Announcements

• Optional Help Session for Exam II: Wed., Nov. 11, 5:00-5:50 p.m. in MG 228.
• Reminder: we have rescheduled--No Class Tuesday, Sept 22. We have class Wednesday, Sept. 23 from 3:00-4:15 p.m. Morgan 226.

Practice Quizzes - just for practice (not a grade)

Note: Depending on your browser, you may have to click the bar and click "Allow Blocked Content."

• Limit Quiz 1
• Limit Quiz 2
• Limit Quiz 3
• Limit Quiz 4

Great Videos

"Tutorials for the Calculus Phobe" - Videos that explain calculus concepts. These are excellent (I haven't viewed them all, but I'm impressed with what I've seen.) Part of calculus-help.com.

Derivatives

Calculus Grapher - (no formulas) can drag points of function and show the Derivative and/or Integral AMAZING ! (from PhET).

Function, Derivative and Integral - (no formulas) can drag points of function and show the Derivative and/or Integral (from cut-the-knot)

Derviative puzzles - http://www.univie.ac.at/future.media/moe/galerie/diff1/diff1.html

TangentsApplet - http://math.hws.edu/javamath/basic_applets/TangentsApplet.html

Derivatives Applet - http://math.hws.edu/javamath/config_applets/Derivatives.html (similar to tangents)

Graph the derivative explanation - http://people.hofstra.edu/stefan_waner/Realworld/calctopic1/derivgraph.html

Chapter Practice Exercises - from the book (Recall, each exam is over 2 chapters. The exams are like the homework.)

• Ch. 1 pp. 56-57 #1-4, 6-8, 13-20, 21-24, 31-38.
• Ch. 2 pp. 56-57 #1-4, 7, 13, 15, 16, 19, 20, 23-47 (*49 is very interesting, but not an example exam question)
• Ch. 3 pp. 150-151 #1-11, 13-18, 21, 25
• Ch. 4 pp. 188-189 #1, 3-6, 7, 9, 11.

Objectives

• Objectives (Word File) - updated regularly.

Other Notes and Resources

• Answer to Practice Problems for Mastery Quiz III

Applets and Tools

• Calculus Demonstration/Investigation Tools - (most are under the "Algebra" section--you can also Find-In-Page for key words, such as limit) Experiment with the applets
  • Piecewise Functions, Limits, and Continuity - does left-hand, right-hand, and 2-sided limit.
  • Function Flyer - one of the best applets on the web. Allows user to input function, manipulate x, and manipulate coefficients.
• Learning about Rate of Change - Cost per minute and total cost.
• Spotting Numbers Applet - a great applet for learning about patterns. Can be used on many levels from elementary through algebra.
• Circumference is the limit of the perimeter of polygons (as the number of sides approaches infinity). (From Cut-the-Knot.).

Online Games, Practice, and Exploration Tools

- many games and resources to choose from--organized by grade level. See

General Practice Site

Online Mathematics Practice Worksheets/Quizzes and Review Resources

Misc. Notes

A recursive formula tells you how to get a number in the sequence from the one right before it.  (So if you want to know the 46th term, you'd have to know the first 45 first.)

A direct formula tells you how to get any number in the sequence.  (So you can get the 46th term directly.)

To figure out if something is a function, see if each x-value has exactly one y-value.  If the equation can be solved for y (and there is just one formula for y) it probably is a function.  Be aware of things like y² (y-squared).  y² + x = 10 is not a function.  If x is 1, there are two values for y that work.  (Can you find them? --what happens when you solve for y?)

Past Announcements