👉Learn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 examples illustrating how to verify Implicit One-Parameter Family of solutions.

Defining vectors as being orthogonal and orthonormal.

Calculus based review of Simple Harmonic Motion (SHM). SHM is defined. A horizontal mass-spring system is analyzed and proven to be in SHM and it’s period is derived. The difference between frequency and angular frequency is shown. The...

👉 Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is...

In this lesson, students learn how to identify holes in a graph by investigating functions. They explore examples where the denominator of a function cannot equal zero, resulting in either an asymptote or a hole in the graph.

This video explains the concept of putting restrictions on the domain of a function in order to make it well-defined. They give examples of functions and demonstrate how to determine the values that cause the function to be undefined. By...

👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...

👉 Learn how to use the double angle identities to solve trigonometric equations. When we have equations with a double angle we will apply the identities to create an equation that can help solve by inverse operations or factoring. We...

Learn how to determine the angle between two vectors. To determine the angle between two vectors you will need to know how to find the magnitude, dot product and inverse cosine. Then, the angle between two vectors is given by the inverse...

In this lesson, mathematicians will learn how to model rational functions by graphing. By understanding the relationship between variables in a rational function, students can visually represent the data in tables and graphs. Through...

In this video, the teacher explains how to write exponential equations from story problems. They emphasize the importance of clearly defining variables and finding the relevant information in the problem.

Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...

OOPS for Real Time: Class and object attributes This clip is from the chapter "OOPS for Real Time" of the series "Complete Python Scripting for Automation".In this section, the author introduces OOPS and object attributes, constructor of...

👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...

Learn how to determine the magnitude and direction of a vector. The magnitude of a vector is the length of the vector. The magnitude of a vector is obtained by taking the square root of the sum of the squares of the components of the...

👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of...

👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular parabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic...

This introduction includes information about naming variables, built-in constants, reserved keywords, built-in functions, syntax highlighting, data types (integer, float, list, tuple, dictionary), and basic commands to built a first...

In this lesson, students will learn how to solve equations with no solutions by using inverse operations. They will understand that a solution is a number that, when plugged into an equation, makes the equation true.

👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...

Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and...

👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...

Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...