Before launching into calculus, let's make sure to review the fundamentals of algebra, trigonometry, analytic functions. This will be mostly a selfpaced unit with the bulk of the practice done on Khan Academy. I'll will do a few lectures illustrating how I approach the topics, and will spend a lot of time working with you oneonone to get ready for calculus.
The following table summarizes the prerequisite content of chapter 1 and provides links to online tutorials that may be helpful to you.
Important Concepts

Video Tutorials 
Khan Academy tutorials  Algebra 1 Algebra 2 Trigonometry

Unit 1.1: Four Ways to Represent a Function
 Understanding the interplay between the four ways of representing a function (verbally, numerically, visually, algebraically).
 Finding the domain and range of a function, regardless of representation.
 Investigating even and odd functions.
 Working with piecewise defined functions.

Function Introduction Function Expressions Domain and Range Recognizing Functions

Unit 1.2: Mathematical Models  A Catalog of Essential Functions
 The modeling process: developing, analyzing, and interpreting a mathematical model.
 Classes of functions: linear, power, rational, algebraic, trigonometric, exponential and transcendental functions. Include the special characteristics of each class of functions.

Polynomial and Rational Functions Rational Expressions Exponential and Logarithmic Functions Logarithms Basic Trigonometry Unit Circle Definition of Trig Functions Graphs of Trig Functions Trigonometric Identities

Unit 1.3: New Functions from Old Functions
 The mechanics and geometry of transforming functions.
 The mechanics and geometry of adding, subtracting, multiplying, and dividing functions.
 The mechanics and geometry of composing functions.

Composing Functions Function Inverses Piecewise Functions Shifting and Reflecting Functions Properties and Features of Functions Comparing and Interpreting Functions

The links below take you to algebra and trig review videos, which students have found helpful and provides a link to download a copy of the Yellow Book.

