6.05 Applications of Waves
In this video, we explore how the mathematics and concepts of waves apply in the everyday world.
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.
7.01 Electric Charge
In this video, we define electric charge, conductors, and insulators.
7.02 Coulomb's Law
In this video, we define Coulomb's law and examine the interaction between two stationary, charged particles.
7.03 Electric Field
In this video, we define the electric field and field line conventions.
3.01 Distance and Displacement
In this video, we explore the difference between distance traveled (an example of a scalar) and displacement (an example of a vector), and we review some basic vector math.
3.02 Average Speed and Average Velocity
In this video, we explore the difference between speed and velocity, and their relationship to distance and displacement.
3.03 Kinematic Equations in One Dimension
In this video, we introduce the three primary kinematics equations and apply them to one-dimensional problems. The term "acceleration" is also introduced.
3.04 Kinematic Equations Graphical Analysis
In this video, we analyze hypothetical experiments by graphing position, velocity, and acceleration versus time, qualitatively.
3.05 Kinematic Equations in Two Dimensions
In this video, we apply the three primary kinematic equations to projectile motion problems.
3.06 Relative Motion
In this video, the inherent (classical) relativity of velocity measurements is explored, qualitatively and quantitatively, in both one and two dimensions.
6.04 Double Angle and Half Angle Formulas of Trigonometric Functions
In this video, students will learn double and half angle formulas, and how they are derived, and will apply them to various problems.
6.05 Law of Sines and Cosines
In this video, students will expand their knowledge to oblique triangles and apply the laws of sines and cosines, followed by area equations for oblique triangles.
6.06 Trigonometric Word Problems
In this video, students will use their knowledge of trigonometry and apply that knowledge to word problems.
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.