These are important terms and notations for this section.

This section reviews the basics of exponential functions and how to compute numeric exponentials.

This section gives the properties of exponential expressions. Most of these should be familiar, although we go into slightly more details as to how and why these properties hold in some cases.

This section gives the properties of exponential functions. There is a subtlety between the function and the expression form which will be explored, as well as common errors made with exponential functions.

This section discusses the two main modeling uses of exponentials; exponential growth, and exponential decay.

These are important terms and notations for this section.

This section is a quick introduction to logarithms and notation (and ways to avoid the notation).

We discuss logarithms as inverse functions, and how to understand logs from this perspective.

This is one of the most vital sections for logarithms. We cover primary and secondary properties of logs, which are pivotal in future math classes as these properties are often exploited in otherwise difficult mechanical situations.

This is one of the most vital sections for logarithms. We cover primary and secondary properties of logs, which are pivotal in future math classes as these properties are often exploited in otherwise difficult mechanical situations.

This is one of the most vital sections for logarithms. We cover primary and secondary properties of logs, which are pivotal in future math classes as these properties are often exploited in otherwise difficult mechanical situations.

This is a demonstration of several examples of using log rules to handle logs mechanically.

This section discusses the geometric view of piecewise functions.

This section discusses the analytic view of piecewise functions.

We discuss the domains of piecewise functions - which must be explicitly given.

This section discusses how to compute values using a piecewise function

This discusses Absolute Value as a geometric idea, in terms of lengths and distances.

This discusses the absolute value analytically, ie how to manipulate absolute values algebraically.

We discuss how to compute absolute values, as well as some techniques to speed up the process.

We discuss how to graph absolute values, as well as some key features of the graph.

This section is on how to solve absolute value equalities.

These are important terms and notations for this section.

We discuss what makes a rational function, and why they are useful.

We discuss one of the most important aspects of rational functions; the domain restrictions.

We discuss the circumstances that generate vertical asymptotes in rational functions.

We discuss the circumstances that generate holes in the domain of rational functions rather than vertical asymptotes.

We discuss the circumstances that generate horizontal asymptotes and what they mean.