Calculus is a challenging class! Having a strong foundation in Precalculus (College Algebra/College Trig) from the beginning will allow you to focus on learning calculus instead of catching up on prerequisite skills.
We will take a prerequisite review exam the first week of class. We’ll have a few days to review in class. You will receive a packet during the first week, but if you want to get a head start, here are all the things it will cover.
Function notation
Understand what the words "simplify," "solve," and "evaluate" mean
Simplifying difference quotients
Piecewise functions
Writing linear equations - Find slope and y-intercept
Graphs of common parent functions: Linear, polynomial, logarithmic, exponential, rational, trigonometric (sine/cosine/tangent)
Graph transformations
Factoring!!! and solving polynomial equations
Properties of rational functions: Domain, horizontal and vertical asymptotes, holes, intercepts
Adding, subtracting, multiplying, and dividing rational functions/fractions
Compositions of functions
Inverse functions
Properties of exponents
Simplifying radicals and rational exponents
Properties of logarithms
Exponential growth/decay functions
Solving exponential and log equations
Trigonometric functions
Unit circle
Pythagorean, quotient and reciprocal identities
Inverse trig functions (remember domain and range??????)
Solving trigonometric equations
From geometry: Basic area/volume formulas (rectangles, triangles, circles, prisms, cones, pyramids, spheres, cylinders)
Your old College Algebra and College Trig notes (you didn't get rid of those yet.... right?)
Patrick JMT - no specific algebra or trig playlists, but videos are in playlists by topic