APMonitor
Linear and Nonlinear Regression in Python
Polynomial or general nonlinear functions are developed with Numpy and Scipy in Python. These exercises also cover methods to create linear or spline interpolations that interpolate between data points.
Brian McLogan
Graphing a linear inequality less than or equal to
👉 Learn how to graph linear inequalities written in slope-intercept form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also...
Curated Video
Determining Line Intersection
In this lesson, students will learn how to determine if two lines intersect. They will explore the concept of parallel lines and perpendicular lines, and understand that parallel lines have the same slope.
Curated Video
Force and Extension Experiments: Analyzing the Relationship Between Force, Extension, and Work Done with a Spring
This video is a lecture presentation analyzing the results of an experiment on the relationship between force and extension in a spring. The presenter uses graphs, tables, and equations to explain how the force and extension are...
Curated Video
Force, Mass and Acceleration Experiment: Methods and Results
The video is a lecture presentation about the force, mass and acceleration experiment. It discusses how to apply force to an object, measure that force, and measure the resulting acceleration. The presentation covers methods of applying...
Catalyst University
Particle-on-a-Ring Example #1: Calculate Electron Probability
Particle-on-a-Ring Example #1: Calculate Electron Probability
Curated Video
Graphing Points in Any Quadrant
In this video, the teacher explains how to graph points on a coordinate plane in different quadrants. They review the x and y axes, the origin, and the concept of ordered pairs. The teacher demonstrates how to plot points in each...
Brian McLogan
How to apply a transformation vector to translate a figure
👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up,...
Math Fortress
Calculus III: Two Dimensional Vectors (Level 2 of 13)
This video is a review of Two Dimensional Vectors. Topics include vectors in a coordinate system, vectors in standard position, and component form of a vector.
Curated Video
Identifying Allocatively Efficient Points on a Production Possibilities Diagram
This video is a lecture on identifying allocatively efficient points on a production possibilities diagram. The speaker explains the concept of allocative efficiency and explores various production points on the diagram and how to...
Brian McLogan
What do I have to know to graph a quadratic in standard form
👉 Learn the basics to understanding graphing quadratics. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Executive Finance
Planning Your Presentation: Mind Maps, Message Maps, and the Rule of Threes
In this video, the teacher discusses the importance of planning a presentation using mind maps, message maps, and outlines. They also emphasize the rule of threes in chunking information and incorporating soft breaks to avoid cognitive...
Brian McLogan
How to translate a parallelogram by translating
👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up,...
Curated Video
Determining Correct Shading of Half Planes on a Graph
In this video, we demonstrate the process of choosing points on the line and in the shaded region to check if they make the inequality true. By using these methods, students can ensure that they have accurately shaded the correct half...
Brian McLogan
Find the value makes a piecewise function continuous with system of equations
👉 Learn how to find the value that makes a function continuos. A function is said to be continous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is...
Brian McLogan
Learn how to find the points of inflection for an equation
👉 Learn how to find the points of inflection of a function given the equation or the graph of the function. The points of inflection of a function are the points where the graph of the function changes its concavity. The points of...
Brian McLogan
Find the extrema using the second derivative test
👉 Learn how to find the extrema of a function using the second derivative test. The second derivative test states that if a function has a critical point for which f'(x) = 0, and the second derivative is positive, then the function has a...
Brian McLogan
Learning to shift a triangle by a translation vector
👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up,...
Zach Star
What Math Classes do Engineers (and Physics Majors) Take (Part 3)?
This video completes the series on math classes that engineers (and physics majors) take. It covers the last of the math classes you could see including... Numerical Methods Discrete Math Statistics Not every engineering discipline will...
Curated Video
Solving Pairs of Linear Equations Using Patterns
In this video, students learn how to solve pairs of linear equations by using patterns. They explore the concept of solutions to linear systems and how they can be represented graphically. By analyzing the slopes and y-intercepts of the...
Brian McLogan
How to reflect a line segment over the y=x line
👉 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...
Brian McLogan
Graphing a linear inequality using slope intercept form
👉 Learn how to graph linear inequalities written in slope-intercept form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also...