Math Analysis is basically pre-calc with no trigonometry. The schools that have a class called Math Analysis usually put trig in the Algebra 2 year (often calling that class Trig/Algebra 2), and move some of the tougher Algebra 2 concepts to this class. Either way, the one thing you can count on about Math Analysis is that there's nothing you can count on. In this class I've included all the topics that I've seen in the Math Analysis classes in West L.A., but this class seems to vary quite a bit, so your class might have slightly different topics. Most should be here, but if one is missing, check the Algebra 2 or pre-calculus class pages.
Combining exponents, canceling terms, multiplying rational expressions and equations, multiplying and dividing variables with various exponents, negative exponents: if it's got an exponent, this chapter covers it.
This chapter covers everything you'll ever be asked to do to or with a root or a "rational" (fraction) exponent. Topics covered: simplifying roots & radicals, reducing roots, dividing roots, adding-subtracting-multiplying-and-dividing radicals, and rationalizing denominators.
"Quadratic" means "squared", for some reason, so this chapter is about solving equations with x2's in them. You'll have to learn several tricky techniques -- square rooting, factoring, completing the square, and/or the Quadratic Formula -- but I give you tips to make them easier, and to decide which to use in different situations.
In this chapter we'll introduce functions, the vertical line test, function notation (i.e. plugging numbers into functions), graphing functions the easy way (by plugging in). Also introduced are domain, range, finding inverse functions, x-intercepts, y-intercepts, and graphing functions.
Time to master graphing all kinds of standard functions (a.k.a. library functions or parent functions) using tranformations. Vertical stretch, horizontal stretch, translating/moving graphs up down left right. We'll also cover those Frankenstein-esque combo functions: piecewise functions.
By popular demand, this short video explains the process of finding x-intercepts and y-intercepts for any function. These are also known as "zeroes" of a function, and you'll see why by the end of this.
As soon as the variable in an equations moves up to the exponent, you've got yourself an exponential. In chapter we'll analyze and graph them, and look at some common types of problems such as compound interest.
In this chapter you'll get all the basics on logarithms (logs) and log equations, as well as how to graph them and use them to solve tough exponential equations. I also devote a video to the difference between graphing logs vs graphing exponentials.
In this chapter we'll learn a somewhat tedious process of dividing polynomials by each other, a skill that's kind of fun once you get the hang of it and which will serve you well in Pre-Calc & Analysis.