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Welcome to my video page. I have organized my videos here for easier searching. I hope you find what you are looking for!
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You can also browse my videos on my youtube channel.
Percents
Simplifying
- Combining like terms
- Simplifying a rational expression by multiplying by a common denominator
- Properties of exponents
- Properties of exponents 2
- Simplifying a rational expression
- Simplifying an Expression Involving a Radical
Solving Equations
- Solving Equations
- Solving a linear equation
- Solving an equation involving exponents
- Solving a Literal Equation
- Solving Literal Equations, Part 2
- Solving Literal Equations, Part 3
- Solving Literal Equations, Part 4
- Solving Literal Equations, Part 5
Proportional Reasoning
- Similar Triangles
- Cylinder problem
- Price per pound
- Photo Enlargement Problem
- Photo Enlargement Problem 2
Functions
- Function as a mapping
- Domain and range
- Finding Domains
- Characteristics of a Function
- Graphing a Function
- Vertical Line Test
- Function composition
- Function inverse
- Domain and range of inverse functions
- Symmetry, Even and Odd
- Piecewise Defined Function
Average Rate of Change
- Interpreting Average Rate of Change
- Using the difference quotient to calculate AROC
- Constant Rate of Change
- Concavity
Absolute Value
Transformations of Functions
Inverse Functions
- Inverse Function Notation
- Inverse Functions in General
- Finding an Inverse Function (linear)
- Finding Inverse Functions
- Domain and Range of Inverse Functions
Function Composition
- Function Composition in General
- Composing Functions
- Function Composition and Domain
- Function Decomposition
- Triple Composition
Linear Functions
- Linear Functions in General
- Find a Linear Function Given 2 Points
- Finding a Perpendicular Line
- Finding a Perpendicular Line 2
- Horizontal and Vertical Lines
Quadratics
- Factoring
- Using the Quadratic Formula
- Converting to vertex form
- Converting to vertex form, ex 2
- Finding a Quadratic Given the Vertex
- Exploring a Quadratic Function
- Exploring a Quadratic with Graphing Calculator
- Zeros of a Quadratic
- Quadratic Application
- Finding a Revenue Function from a Linear Demand Function
- Using a Quadratic to find Area of Rectangle
Polynomials
- End behavior of a polynomial
- End Behavior of a Cubic
- Cubics and Inflection Points
- Finding a Second Degree Polynomial Given Roots
- Finding a Polynomial Given Roots
- Repeated Roots
- The Box Problem
Rational Functions
- Finding Horizontal Asymptotes, part 1
- Finding Horizontal Asymptotes, part 2
- Finding a Rational Function Given Characteristics
- Finding a Rational Function Given a Graph
- Finding a Rational Function Given a Graph
- Finding domain, vertical asymptotes and holes
- What is a Hole
Exponential Functions
- Solving an Exponential Equation using Like Bases
- Finding a Basic Exponential Function (no initial value)
- Common Ratio
- Decay Factors
- Salary Problem
- Graph of an Exponential Function
- Converting the Form of an Exponential Function
- Converting the Form of an Exponential Function, part 2
- Doubling Time
- Doubling Time and Exponential Functions
- Compound Interest and Effective Yield
- Calculating Annual Percentage Yield (APY)
Exponential Modeling
- Finding Half Life
- Using Doubling Time to Build a Model
- Exponential Decay
- Using Half Life Models
- Tripling Time
- Finding an Initial Population
Logarithmic Functions
- Inverse Properties of Log
- Inverse Properties of Natural Log
- Simplifying Logarithmic Expressions
- Properties of Logs
- Rewriting Logarithmic Equations Using the Definition
- Domain of a Logarithmic Function
- Expanding with Properties of Logs
- Rewriting an Expansion as a Single Log
- Solving an Exponential Equation using Logs
- Solving an Exponential Equation (Isolating the exponential)
- Solving an Exponential Equation (exponentials on both sides)
- Solving an Exponential Equation Using Natural Log
- Solving a Logarithmic Equation
- Solving a Logarithmic Equation Involving a Difference
- Solving a Logarithmic Equation Inovlving a Sum
- Applications of Logs - Richter Scale
- Applications of Logs - Richter Scale
- Applications of Logs - pH level
Logistic Functions
Systems of Equations and Matrices
- Solving a 2x2 System
- Solving a 2x2 System 2
- Solving a System Involving Fractions
- Solving a System - Coin Problem
- Solving a System - Airspeed and Wind Speed
- Solving a System - Simple Interest
- Solving a System - Admissions
Sequences and Series
- Finding the nth Term of an Arithmetic Series
- Finding the nth Term of a Geometric Series
- Convergence of a Sequence
- Finite Arithmetic Series
- Computing a Finite Arithmetic Series
- Computing a Finite Arithmetic Series, Part 2
- Computing a Finite Arithmetic Series from Summation Notation
- Arithmetic Series - Seats in an Auditorium
- Finite Geometric Series
- Geometric Series - Doubling Pennies
- Geometric Series - Bouncing Ball
- Infinite Geometric Series
- Summing Infinite Geometric Series
- Summing Infinite Geometric Series, Part 2
- Finding the Common Ratio of an Infinite Geometric Series
- Writing a Series in Summation Notation
Differential Calculus
Limits
Derivatives
- Local Linearity
- Derivative as a Function
- Corner Points
- Derivative of a Cubic Using Definition of Derivative
- Taking Derivatives (examples)
- Chain Rule
- Product and Quotient Rule
- Derivative of a Logarithmic Function
- Derivative of an Exponential Function
Applications of Derivatives
- Differentials
- Relative Extrema
- Absolute Extrema
- Global Extrema
- 2nd Derivative Test
- Inflection Points
- Optimization
- Optimization - Constrained Area
- Optimization - Minimizing Cost
- Optimization - Maximizing Volume
- Related Rates
- L'hopital's Rule (Basic Examples)
- L'hopital's Rule (Product Examples)
- L'hopital's Rule (Exponentials)
Tangent Lines
Integral Calculus
Antiderivatives
The Definite Integral
- Accumulation and Area
- Riemann Sum Intro, Part 1
- Riemann Sum Intro, Part 2
- Definition of Definite Integral
- Theorems about the Definite Integral
- Calculating Area Under Curve
- Calculating Definite Integrals (examples)
- Calculating a Definite Integral
Integration Techniques
- Trig Substitution
- Trig Substitution 2
- Trig Substitution 3
- Trig Substitution 4
- Partial Fraction Decomposition
Applications of Integrals
Sequences and Series
- The Golden Ratio
- Convergence of a Sequence
- Finite Arithmetic Series
- Finite Geometric Series
- Infinite Geometric Series
- Intro to Comparison Test
- Intro to Limit Comparison Test
- Intro to Absolute Value Test
- Intro to Alternating Series Test
- Intro to Ratio Test
- Using the Ratio Test, Part 1
- Using the Ratio Test, Part 2
Improper Integrals
Taylor Polynomials
Multivariable Calculus
Curves in 3 Space
Partial Derivatives
- Computing Partial Derivatives, part 1
- Computing Partial Derivatives, part 2
- Computing Partial Derivatives, part 3
Lagrange Multipliers
Differential Equations
- Verifying Solutions to Differential Equations
- Verifying Solutions to Differential Equations 2
- Seperation of Variables
- Seperation of Variables 2
- Seperation of Variables 3
- Seperation of Variables 4
- Euler's Method (Interactive)
- Euler's Method
- Euler's Method 2
- Generating a Slope Field
Graphing Calculator Tutorials (TI-84)
- Regression
- Finding inputs given outputs
- Solving a 2x2 system
- Solving a system with an inverse matrix
- Solving a matrix (reduced row echelon form)
- Graphing a piecewise defined function
- Exploring Quadratic Functions
- Finding Inputs and Outputs
- Calculating a Derivative
- Calculating an Instantaneous Rate of Change
- Finding an Intersection
- Calculating a Definite Integral
Here are some online lessons I have created and currently use in some of my own classes. They have comprehension questions embedded in them. Give them a try, see how you do!
If you are having trouble with the links, try right-clicking and opening in a new window.
Algebra
- Functions
- Transformations of Functions
- Linear Functions
- Absolute Value
- Quadratic Functions
- Polynomials
- Rational Functions
- Function Composition
- Inverse Functions
- Exponential Functions
- Logarithmic Functions
- Systems of Equations and Matrices
- Sequences
- Series
Brief Calculus
- Functions
- Linear Functions
- Polynomial Functions
- Exponential Functions
- Logarithmic Functions
- Logistic Functions
Introduction to Derivatives
Derivative Rules
Applications of Derivatives
Antiderivative and the Definite Integral
- Indefinite Integral
- U-Substitution
- Accumulation
- The Fundamental Theorem of Calculus
- The Definite Integral
- Integration by Parts
- Average Value
- Area Between Two Curves
Calculus 2
Tutoring
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