3.01 Exponential Functions
In this video, students will learn the definition of exponential functions and their properties.
3.02 Exponential Graphs
In this video, students will learn to graph exponential functions.
3.03 Logarithmic Functions
In this video, students will learn the definition of logarithmic functions and their properties.
8.01 Conic Sections
In this video, students will learn the definition of a double-napped cone, and how conic sections are formed at the intersection of a plane and a double-napped cone.
8.02 Ellipses
In this video, students will learn the analytic definition of an ellipse, the standard form of the equation of an ellipse, and how to graph ellipses.
8.03 Hyperbolas
In this video, students will learn the analytic definition of a hyperbola, the standard form of the equation of a hyperbola, and how to graph hyperbolas.
8.05 Polar Coordinates and Equations
In this video, students will learn about the polar coordinate system and how to convert to and from the rectangular coordinate system.
8.06 Polar Graphs
In this video, students will learn how to graph polar curves.
8.07 Special Polar Graphs
In this video, students will learn the equations and graphs of special polar curves.
8.04 Parametric Equations
In this video, students will learn about parametric equations, how to sketch parametric curves, and the differences between parametric curves and rectangular graphs.
6.08 Bonus Video: Law of Sines—The Ambiguous Case
The Law of Sines can be used to solve for sides and angles of oblique triangles. However, in some cases more than one triangle may satisfy the given conditions. We refer to this as an ambiguous case.
8 Chapter 5: Introduction to Trigonometry and Graphs
In this chapter, we will explore angle measures and the trigonometric ratios, including graphing and inverses.
5 Chapter 7: Sequences and Series
In this chapter, we introduce sequences and series, some of their applications, and the Binomial Theorem.
3 Chapter 4: Systems of Equations
In this chapter, we will explore the methods used to solve systems of equations, and real-world situations involving systems of equations.
6 Chapter 2: Polynomial and Rational Functions
In this chapter, we will explore beyond linear functions and learn about polynomial and rational functions.
8 Chapter 6: Trigonometric Identities and Applications
In this chapter, students will learn a robust list of trigonometric identities along with their applications. Students will also be introduced to vectors.
7 Chapter 8: Conic Sections, Parametric Equations, and Polar Coordinates
In this chapter, we introduce conic sections, parametric equations, and polar coordinates.
5 Chapter 1: Introduction to Functions and Graphs
In this chapter, students are introduced to lines, functions, and graphs of functions.
8 Chapter 3: Exponential and Logarithmic Functions
In this chapter, students are introduced to exponential and logarithmic functions. Students will learn about the functions' graphs, how to solve equations involving those functions, and their real-world applications.