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.
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.
5.05 Graphs of Sine and Cosine
In this video, students will learn how to graph sine and cosine and how to interpret graphs of sine and cosine.
5.06 Graphs of Secant and Cosecant
In this video, students will learn how to graph and interpret graphs of secant and cosecant, and how secant and cosecant relate to sine and cosine.
5.07 Graphs of Tangent and Cotangent
In this video, students will learn how to graph and how to interpret graphs of tangent and cotangent.
5.08 Inverse Trigonometric Functions and Graphs
In this video, students will explore the relationship between trigonometric functions and their inverses.
7.01 Sequences and Series, Part 1
In this video, students will learn the definition of a sequence and how to calculate its general term.
7.02 Sequences and Series, Part 2
In this video, students will learn the definitions of a recursive sequence and a series.
7.03 Arithmetic Sequences and Series
In this video, students will learn the definition of an arithmetic sequence and how to calculate its general term.
7.04 Geometric Sequences and Series
In this video, students will learn the definition of a geometric sequence and how to calculate its general term.
7.05 The Binomial Theorem
In this video students will learn the definition of the Binomial Theorem and how to use it to calculate the expansion of binomials.
4.01 Solving Systems of Equations: Substitution and Graphing
In this video, students will learn the techniques of substitution and solving by graphing, in addition to learning definitions of different systems of equations.