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Brian McLogan
Solve a System of Equations Using Elimination
πLearn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...
APMonitor
Chemical Reaction Differential Equations in Python
Concentrations on chemical species from mole balances are solved for 1, 2, and 4 species in Python with the Scipy.Integrate package ODEINT.
Curated Video
Understanding the Difference between Expressions and Equations
In this lesson, students will learn the difference between expressions and equations. They will understand that expressions represent values and can be simplified, but not solved. On the other hand, equations equate two expressions and...
Brian McLogan
Graph the Secant Function with a Phase Shift of pi Halves
π Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Brian McLogan
Learn how to solve equation using double angle formula
π 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...
Brian McLogan
Learn How To Determine the Unit Vector and It's Direction Given the Vector W
Learn how to determine the unit vector of a vector in the same direction. The unit vector is a vector that has a magnitude of 1. The unit vector is obtained by dividing the given vector by its magnitude.
Brian McLogan
How to find the vector with given magnitude and same direction of another vector
In this video series you will learn multiple math operations. I teach in front of a live classroom showing my students how to solve math problems step by step. My math tutorials should be used to review previous lessons, complete your...
Brian McLogan
How to determine if 3 graphs represent a function and determine domain range
π Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a...
Curated Video
Understanding Division with Zero and One: Special Properties and Rules
In this lesson, students will learn how to solve division problems by utilizing the special properties of 0 and 1. They will discover that any number divided by itself is 1, any number divided by 1 is itself, and any number divided by 0...
Brian McLogan
Learn How to Determine the Unit Vector and It's Direction Given the Vector W
Learn how to determine the unit vector of a vector in the same direction. The unit vector is a vector that has a magnitude of 1. The unit vector is obtained by dividing the given vector by its magnitude.
Brian McLogan
How to evaluate the limit of a radical function
π Learn how to evaluate the limit of a radical function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The radical function is...
Brian McLogan
How to determine and label if a piecewise function is continuous or not
π Learn all about the Limit. In this playlist, we will explore how to evaluate the limit of an equation, piecewise function, table and graph. We will explore continuity as well as discontinuities such as holes, asymptotes and jumps and...
Brian McLogan
Find the general and paticular solution
π Learn how to find the particular solution to the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral...
Brian McLogan
Learn to Solve a System of Equations with One Solution by Elimination
πLearn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...
Brian McLogan
How to use substitution to solve a system of linear equations
πLearn 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...
Brian McLogan
Given the circumference how do you find the surface area of a hemisphere
π Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is...
Curated Video
Learn and Master C Programming - Using Arithmetic Assignment Operators in C
We will learn about a new way to combine both arithmetic as well as assignment operators together.
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This clip is from the chapter "Operators & Expressions" of the series "Learn and Master C Programming For Absolute...
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This clip is from the chapter "Operators & Expressions" of the series "Learn and Master C Programming For Absolute...
Curated Video
Using Line Plots to Distribute Items Equally
In this video, students learn how to use line plots to redistribute items equally, using operations and information presented in the plot. The example used is redistributing juice at a birthday party, where students figure out the total...
Flipping Physics
Physical Pendulum - Period Derivation and Demonstration using Calculus
Calculus is used to derive the angular frequency and period equations for a physical pendulum. A physical pendulum is also demonstrated and real world calculations are performed. This is an AP Physics C: Mechanics...
Flipping Physics
Using Integrals to Derive Rotational Inertia of a Long, Thin Rod with Demonstration
We use integrals to derive the #rotationalinertia of a uniform, long, thin rod. And we demonstrate our answer is correct using a Rotational Inertia Demonstrator.
Curated Video
Solving Pairs of Linear Equations with Visual Models
In this lesson, students will learn how to solve pairs of linear equations by using visual models and algebraic methods. By representing the equations with visual models, students can easily visualize the problem and understand the...
Brian McLogan
Finding the equation of a quadratic in vertex form by looking at the graph
π Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Brian McLogan
Using mathematical induction to prove a formula
π Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique. It is usually used to prove that a formula written in terms of n holds true for all natural numbers: 1, 2, 3, ....
Brian McLogan
Solving a logarithmic equation with two extraneous solutions
π 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...