Welcome to my Math 120 lectures! These are just a simple video capture of my in-class lectures at a community college in California. They are not edited in any way. I am posting these videos for the benefit of my online students, but they are open to anyone. May you find them somehow useful in your mathematical journey, whatever it may be. I also scan some of the handouts and worksheets for this class; these are available at ftp://ftp.dvc.edu/~kedwards.NOTE ABOUT FORMATS: Flash (the default) plays immediately and allows full-screen viewing. Quicktime has better quality and chapter markers, but takes 10-20 minutes to load first. If you want to switch formats go to the episode page via the archives.
Just a few minutes of the last round of review (then we took an in-class review quiz). Might be the last lecture. It's been fun, y'all!
A continuation of going over questions from quizzes and exams from the semester.
The first half of your final exam will all be problems from the exams (and quizzes for the lecture class) that you've taken throughout the semester. With the numbers changed. So for the next three days I'm going over any questions on the exams and quizzes that the lecture class took. If you're in the online class, you can see your solutions on the scanned handouts page, ftp://ftp.dvc.edu/~kedwards. Solutions for the lecture class will be posted there also.
Sections: 10.1, 10.4, 10.5, 11.4Topics: Distance, midpoint, circles, sideways parabolas, systems of nonlinear equations, binomial theoremVarious homework problems.
Section: 11.4Topic: Binomial TheoremThe continuing crazy story of a triangle, some powerful binomials, and a matter of choice.
Sections: 10.5, 11.4Topics: Systems of Nonlinear Equations, Binomial TheoremSection 10.5 is a perfect example of the interplay between algebra and geometry. How criminally, utterly ridiculous, then, that they don't actually have you do the geometry part in the homework - only the algebra. The topic is systems of nonlinear equations: nonlinear means parabolas, circles, or even ellipses and hyperbolas (which we didn't study.) Just as in chapter 3, we can solve a system of such equations using th...
Sections: 10.1, 10.4Topics: Circles and Sideways ParabolasFirst we tie up one last example with graphing circles using the Equation of a Circle, where first we have to complete the square in order to get the right format for easy graphing. Then I give the equation for Sideways Parabolas, just like regular parabolas (as covered in 8.3) but with x and y switched so you get the inverse (as covered in 9.2), which flips it across a diagonal line and makes the parabola end up sideways.
Section: 10.1Topics: Midpoint Formula, Distance Formula, Equation of a CircleIn this chapter we get back into the wonderful interplay of algebra and geometry. (Mathematicians who study this stuff for a living literally call it "algebraic geometry.") First, the geometric midpoint of two points is found by taking arithmetic averages of their coordinates. Then we go back to our good friend the Pythagorean Theorem and dip it into the context of coordinate axes to produce the Distance Formula. Last...
Sections: 8.3, 8.4Topics: Graphing Quadratic Functions, Solving Pseudo-Quadratic EquationsVarious homework problems.
Sections: 8.3, 8.4Topics: Graphing Quadratics (using New Tools), Post-Graphing Analysis and Solving Pseudo-Quadratic Equations.Last time we learned new ways to graph quadratics. Now we learn a few ways to analyze the graph after we have it. From the graph we can determine: whether it has a maximum or a minimum, what the coordinates of the max/min are, the axis of symmetry, and the range.Then 8.4 goes back to solving quadratics...except they don't look like quadratics to begin with, not until a...