For Unit 0

- A Proof That Ö2 Is Irrational

- A Proof That There Are The Same Number of Rational Numbers as Natural



Numbers

- A Proof That There Are More Real Numbers Than Natural Numbers



For Unit 2

- Algebra For Science: Variation



For Unit 4

- How Can You Find Rational Zeros (if any) of a Polynomial Function?



For Unit 7

- A Proof That "e" Is Irrational

1. Numbers
2. Language of Mathematics
3. The Powers That Be: Exponents
4. Polynomial Expressions (Part I)
5. Polynomial Expressions (Part II)
6. More Numbers and Geometry
7. Graphs (Part I)
8. Graphs (Part II)
9. Graphs (Part III)
10. Functions and Their Graphs (Part I)
11. Functions and Their Graphs (Part II)
12. Functions and Their Graphs (Part III)
13. Functions and Their Graphs (Part IV)
14. Functions and Their Graphs (Part V)
15. Functions and Their Graphs (Part VI)
16. Equations in One Variable (Part I)
17. Equations in One Variable (Part II)
18. Equations in One Variable (Part III)
19. Equations in One Variable (Part IV)
20. Equations in One Variable (Part V)
21. Inequalities in One Variable (Part I)
22. Inequalities in One Variable (Part II)
23. Polynomial Functions (Part I)
24. Polynomial Functions (Part II)
25. Locating the Zeros of a Polynomial Function (Part I)
26. Locating the Zeros of a Polynomial Function (Part II)
27. Rational Functions
28. Exponential Functions (Part I)
29. Logarithmic Functions (Part I)
30. Logarithmic Functions (Part II)
31. Exponential Functions (Part II)
32. Systems of Linear Equations (Part I)
33. Systems of Linear Equations (Part II)
34. System of Non-Linear Equations
35. Sequences (Part I)
36. Sequences (Part II)
37. Series & Induction
38. The Binominal Theorem
39. The X-Y Files: The Proof is in Here

In this course, UMKC's Professor Richard Delaware gives 40 video lectures on College Algebra, in association with UMKC's Video Based Supplemental Instruction Program.

Original Course Name: VSI College Algebra (Math 110) Video Course

Links:
- Reviews of the VSI College Algebra Videotapes
- Listing of the Videos and Their Contents

Brief History of this Video Course
In 1998, Richard Delaware spent 8 months recording a College Algebra course on video for the VSI (Video-based Supplemental Instruction) program at UMKC. "Supplemental Instruction" in this sense does not indicate a remedial course, and no content or conceptual richness has been sacrificed. College Algebra was the first mathematics VSI course to be recorded, but the VSI concept which has been in place at UMKC since 1992 has attracted national attention because of its success in 3 other video courses taken by students at UMKC and at 30 other institutions in Missouri.

Although video technology is commonplace, the pedagogy is fresh. Students view the tapes in the presence of a trained facilitator, and have control over the flow of information; lectures are stopped, started, and replayed as needed. When the facilitator pushes the stop button, as cued on the video, students have time to work problems, ask questions, make observations, resolve confusions, collect their thoughts, and more.

This VSI course has been offered since Fall 1998 off the UMKC campus to advanced students at rural high schools, and on the UMKC campus to students requiring more time and assistance to succeed in College Algebra.

The course was recorded in a UMKC video studio by the Multimedia Technology Services division of Instructional Technologies.