Precalculus at Rutgers-Camden

Covers solutions to basic trigonometric equations, including introduction and application of inverse trigonometric functions

Covers various ways of verifying that a trigonometric equation is an identity, as well as some classical formulas like the addition/subtraction formulas and the double-angle formulas.

Covers applying transformations to the graphs of sine and cosine.

Covers the derivation of graphs of sine, cosine, and tangent, independent of the unit circle.

Covers the creation and use of the unit circle for determining specific special values of trigonometric expressions.

Covers a brief overview of polar coordinates and their use as a backdrop for defining sine and cosine, as well as related basic facts and properties.

Covers basic techniques for solving specific forms of equations involving exponential or logarithmic terms.

Covers an introduction to exponential and logarithmic functions, along with the graphs and basic properties.

Covers the basic components of graphing a rational function in conjunction with the previous lecture.

Covers an introduction to details about rational functions, including their domains and discontinuities.

Covers applying the methods in part I to completely solve a polynomial provided some information is provided.

Covers polynomial long division, Factor Theorem, and general ideas around how to find the roots of a higher-degree polynomial.

Covers inverses of a function, including under what circumstances an inverse exists and how to compute it if it does.

Covers the composition of real-valued functions.

Combines material from the previous lecture and investigates what happens when multiple transformations are performed in sequence.

Covers transformations of functions, including translations, dilations, and reflections (rotations are omitted).

Covers facts about common families of functions, piecewise functions, and the difference quotient.

Covers an introduction to functions, including the concepts of domain and range.

Covers circles, including both geometric and algebraic forms of expressing them on the coordinate plane.

Covers a basic review of the coordinate plane, coordinate geometry, and elementary facts about graphs and equations of straight lines.

Covers methods of solving polynomial and rational inequalities using critical numbers

Covers the basic properties of manipulating inequalities, as well as solving linear inequalities and writing solution sets.

Covers the basics of the real number line and necessary properties from algebra, including properties of exponents.

Covers solving certain equations with absolute values and the technique of substitution.

Covers solving certain kinds of radical equations.