PRECALCULUSÂ NOTES
Exponents – A brief review of the basic exponent properties.
Absolute Value – A couple of quick problems to remind you of how absolute value works.
Radicals– A review of radicals and some of their properties.
Rationalizing– A review of a topic that doesn’t always get covered all that well in an algebra class, but is required occasionally in a Calculus class.
Functions– Function notation and function evaluation.
Multiplying Polynomials – A couple of polynomial multiplication problems illustrating common mistakes in a Calculus class.
Factoring– Some basic factoring.
Simplifying Rational Expressions– The ability to simplify rational expressions can be vital in some Calculus problems.
Graphing and Common Graphs – Here are some common functions and how to graph them. The functions include parabolas, circles, ellipses, and hyperbolas.
Solving Equations, Part I – Solving single variable equations, including the quadratic formula.
Solving Equations, Part II – Solving multiple variable equations.
Solving Systems of Equations – Solving systems of equations and some interpretations of the solution.
Solving Inequalities – Solving polynomial and rational inequalities.
Absolute Value Equations and Inequalities – Solving equations and inequalities that involve absolute value.
Trig Function Evaluation – How to use the unit circle to find the value of trig functions at some basic angles.
Graphs of Trig Functions – The graphs of the trig functions and some nice properties that can be seen from the graphs.
Trig Formulas– Some important trig formulas that you will find useful in a Calculus course.
Solving Trig Equations – Techniques for solving equations involving trig functions.
Inverse Trig Functions – The basics of inverse trig functions.
Basic Exponential Functions – Exponential functions, evaluation of exponential functions and some basic properties.
Basic Logarithm Functions – Logarithm functions, evaluation of logarithms.
Logarithm Properties – These are important enough to merit their own section.
Simplifying Logarithms – The basics for simplifying logarithms.
Solving Exponential Equations – Techniques for solving equations containing exponential functions.
Solving Logarithm Equations – Techniques for solving equations containing logarithm functions.