John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 8, 2023
Calculus

Understanding the Mean Value Theorem: Calculus’s Key Relation between Average and Instantaneous Rates of Change

Mean Value Theorem The Mean Value Theorem is an important theorem in calculus that relates the average rate of change of a function to its instantaneous rate...

John Rhodes
July 8, 2023
Calculus

Unlocking the Power of Rolle’s Theorem: Analyzing the Behavior of Differentiable Functions on Closed Intervals

Rolle’s Theorem Rolle’s Theorem is a fundamental theorem in calculus that deals with the behavior of a differentiable function on a closed interval Rolle’s Theorem is a...

John Rhodes
July 8, 2023
Calculus

Analyzing the Behavior of Functions: Understanding Critical Points in Mathematics

Critical Point In mathematics, a critical point refers to a point in the graph of a function where the derivative is either zero or undefined In mathematics,...

John Rhodes
July 8, 2023
Calculus

Maximize and Minimize: Understanding the Extreme Value Theorem in Calculus

Extreme Value Theorem (also known as maximum-minimum theorem) The Extreme Value Theorem (EVT), also known as the maximum-minimum theorem, is an important mathematical result in calculus The...

John Rhodes
July 8, 2023
Calculus

Finding Maximum and Minimum Points: A Comprehensive Guide for Mathematical Optimization

The maximum or minimum is a point on a graph or a value in a data set where a function reaches its highest or lowest value, respectively...

John Rhodes
July 8, 2023
Linear Algebra

Understanding Column Vector Notation: Exploring the Different Notations for Vectors in Mathematics

Another notation for the vector [ – 4 ] [ 3 ] is [-4 3] Notation for the vector [ -4 ] [ 3 ] is [-4...

John Rhodes
July 8, 2023
Linear Algebra

Analyzing the consistency of a linear system based on the row [0 0 0 5 0] in echelon form

If one row in an echelon form of an augmented matrix is [0 0 0 5 0], the the associated linear system is inconsistent To determine if...

John Rhodes
July 8, 2023
Linear Algebra

A Step-by-Step Guide to Finding a Parametric Description of the Solution Set of a Linear System

Finding a parametric description of the solution set of a linear system is the same as solving the system To find a parametric description of the solution...