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.
Introducing Conic Sections
Given a verbal description or a pictorial representation, the student will describe a conic section as the intersection of a cone and a plane.
Graphing Conic Sections: Ellipses
Given an equation, the student will use parameter changes to graph an ellipse and to identify the changes in the graph of an ellipse.
Graphing Conic Sections: Hyperbolas
Given an equation, the student will use parameter changes to graph a hyperbola and to identify the changes in the graph of a hyperbola.
2.01 Quadratic Functions
In this video, students will review the characteristics of quadratic functions.
2.02 Complex Numbers
In this video, students will learn about imaginary and complex numbers.
2.03 Polynomial and Power Functions
In this video, students will use the characteristics of polynomial functions to identify and graph them.
2.04 Long Division
In this video, students will learn about long division, synthetic division, and various theorems associated with polynomials.
2.05 Rational Functions
In this video, students will learn to identify characteristics of rational functions and graph them.
2.06 Inequalities
In this video, students will learn how to solve complex inequalities that are polynomial and rational in form.
5.01 Radians and Degree Measurements
In this video, students will learn the basics of angle measurements, definitions of various types of angles, radians and degrees, along with arc length and area of a sector.
5.02 Linear and Angular Velocity
In this video, students will learn about angular and linear velocity and how each relates to unit conversions.
5.03 Trigonometric Ratios
In this video, we will define the trigonometric ratios in terms of the sides of a right triangle.
5.04 Trigonometric Angles and the Unit Circle
In this video, students will learn special angles and the unit circle, and learn how to apply them.