Calculus‎ > ‎

## Before launching into calculus, let's make sure to review the fundamentals of algebra, trigonometry, analytic functions. This will be mostly a self-paced 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 one-on-one to get ready for calculus.

The following table summarizes the pre-requisite content of chapter 1 and provides links to online tutorials that may be helpful to you.

Video 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.

### 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.

### 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.

Showing 3 items
TopicURL
TopicURL
The Yellow Book (review of algebra, geometry, and pre-calculus)
Patrick JMT Algebra Tutorials http://patrickjmt.com/#algebra
Patrick JMT Trig http://patrickjmt.com/#trigonometry
Showing 3 items