6.07 Vectors
In this video, students are introduced to vectors, learn about vector addition and scalar multiplication, and then apply vectors to word problems.
1.03 Algebra of Functions
In this video, students will learn about the algebra of functions, including composition, and the domain restrictions associated with each case.
1.04 Inverse Functions
In this video, students will learn about inverse functions and how the original function and its inverse are related.
1.05 Graphs of Functions
In this video, students will review the graphs of several common functions along with transformations, reflections, stretching, compressing, and symmetry.
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.