Mathematics & Statistics



NO MORE HAND WAVING

HOW TO CREATE ANIMATIONS FOR YOUR LECTURES

MichMATYC Conference

Monroe County Community College

October 6, 2012

James D. Anderson

math.utoledo.edu/~janders

jim.anderson@utoledo.edu

NOTE: My old website address was math.utoledo.edu/~anderson

Activity 1

Activity 2

1. The Making of Angles in the MATH-1330 Lesson 1 Lecture Notes. (Page 2)

a. Maple Program for Making Angles as a Maple Worksheet

b. Maple Program for Making Angles as a Word Document

2. The Illustrating of the Reference Angle in the MATH-1330 Lesson 3 Lecture Notes.

a. Maple Program for Illustrating Reference Angle for an Angle Made Rotating Counterclockwise as a Maple Worksheet

b. Maple Program for Illustrating Reference Angle for an Angle Made Rotating Counterclockwise as a Word Document

c. Maple Program for Illustrating Reference Angle for an Angle Made Rotating Clockwise as a Maple Worksheet

d. Maple Program for Illustrating Reference Angle for an Angle Made Rotating Clockwise as a Word Document

3. The Illustrating of the Coterminal Angles in the MATH-1330 Lesson 4 Lecture Notes.

4. The Trigonometric Functions Determined by a Point in the Plane in the MATH-1330 Lesson 5 Lecture Notes.

5. Using the Unit Circle to Graph the Sine and Cosine Functions in the MATH-1330 Lesson 8 Lecture Notes.

6. Graphing Functions by Plotting Points in the MATH-1320 Lesson 9 Lecture Notes.

a. Maple Program for Graphing a Function by Plotting Seven Points as a Maple Worksheet

b. Maple Program for Graphing a Function by Plotting Seven Points as a Word Document

7. Shifting the Sketch of the Graph of a Function in the MATH-1320 Lesson 9 Lecture Notes. (Page 16)

8. Sketching the Graph of a Function and Its Inverse in the MATH-1320 Lesson 10 Lecture Notes. (Page 4)

9. Illustrating One-Sided Limits in the MATH-1850 Lesson 4 Lecture Notes. (Page 11)

10. Illustrating the Slope of Secant Lines approaching the Slope of the Tangent Line at a Point on the Graph of a Function in the MATH-1850 Lesson 6 Lecture Notes. (Page 11)

a. Maple Program as a Maple Worksheet.

b. Maple Program as a Word Document.

11. Illustrating a Function Increasing on an Interval in the MATH-1850 Lesson 14 Lecture Notes.

a. Maple Program as a Maple Worksheet.

b. Maple Program as a Word Document.

12. Illustrating a Function Decreasing on an Interval in the MATH-1850 Lesson 14 Lecture Notes.

a. Maple Program as a Maple Worksheet.

b. Maple Program as a Word Document.

13. Illustrating the Local Maximum on the Graph of Function in the MATH-1850 Lesson 14 Lecture Notes. (Page 11)

14. Illustrating the Local Minimum on the Graph of Function in the MATH-1850 Lesson 14 Lecture Notes. (Page 11)

15. Illustrating Solids of Revolutions in the MATH-1860 Lesson 15 Lecture Notes.

16. The Sequence of Partial Sums of a Convergent Power Series in the MATH-1860 Lesson 23 Lecture Notes.

17. Inscribing Rectangles in an Equilateral Triangle of Side Length 8.

a. First Animation.

b. Second Animation. Maple Program as a Maple Worksheet.

c. Third Animation. Maple Program as a Maple Worksheet.

18. The Slope of Tangent Lines on the Graph of [pic]

19. The Slope of Tangent Lines on the Graph of [pic]

20. Revised Maple Program for Making Two Cycles of the Cosine and Sine Rotating Counterclockwise or Clockwise.

21. Revised Maple Program for Making Angles Rotating Counterclockwise or Clockwise.

22. Maple Program for Graphing Functions by Plotting Points.

23. Maple Program for Graphing Lines Using the Slope and y-Intercept.

24. Some Related Rates Animations

a. Ladder Sliding Down a Wall

b. Light Trained on a Moving Car

c. Gas Being Pumped Into a Balloon

d. Kite Flying Horizontally

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