ALGEBRA

• Arithmetic Basics: Long Division of Numbers
• Arithmetic Basics: Finding the Percent of a Number
• Arithmetic Basics: Multiplying Decimals
• Arithmetic Basics: Dividing Decimals
• Arithmetic Basics: Converting Decimals into Fractions
• Fractions – Adding and Subtracting
• Fractions: Adding and Subtracting – Numerical and Variable Examples
• Fractions: Adding and Subtracting Fractions with Different Denominators
• Fractions – Multiplying and Dividing
• Basic Math: Dividing Fractions
• Comparing Fractions using Inequalities – Ex 1
• Comparing Fractions using Inequalities – Ex 2
• Fractions: Multiplying, Reducing, Adding and Subtracting
• Simplifying Complex Fractions – Ex 1
• Simplifying Complex Fractions – Ex 2
• Simplifying Complex Fractions – Ex 3
• Partial Fraction Decomposition – Example 1
• Partial Fraction Decomposition – Example 2
• Partial Fraction Decomposition – Example 4
• Partial Fraction Decomposition – Example 5
• Partial Fraction Decomposition – Example 6
• Averages and Word Problems – Basic Example
• Averages: Finding an Average Grade You Need to Make to Bring Your Grade up to a Desired Amount
• Averages: What Grade do I Need on the Final to Pass the Class?!
• Radical Notation and Simplifying Radicals
• Radicals: Simplifying Radical Expressions Involving Variables – Ex 1
• Simplifying Numbers under Square Roots
• Rationalize the Denominator
• Rationalizing the Denominator – Ex 1
• Rationalize the Denominator – Harder Example
• Rationalizing the Denominator – Ex 3
• Factoring a Number
• Factoring a Number
• Greatest Common Factor, GCF
• Least Common Multiple
• An Intro to Solving Linear Equations: What Does it Mean to be a Solution?
• An Intro to Solving Linear Equations: Solving some Basic Linear Equations
• An Intro to Solving Linear Equations: Solving some Basic Linear Equations, Ex 2
• Solving Linear Equations
• Solving Linear Equations – Example 1
• Solving a Basic Linear Equation – Example 2
• Solving a Basic Linear Equation – Example 3
• Direct Variation / Direct Proportion – Ex 1
• Direct Variation / Direct Proportion – Ex 2
• Direct Variation / Direct Proportion – Ex 3
• Slope of a Line
• Equation of a Line: Point-Slope Form
• Graphing a Line Using a Point and Slope
• Linear Functions: Graphing by Finding X,Y Intercept
• An Introduction To Solving Inequalities – Ex 1
• An Introduction To Solving Inequalities – Ex 2
• An Introduction To Solving Inequalities – Ex 3
• Fundamental True/False Questions about Inequalities!
• Solving Word Problems Involving Inequalities – Ex 1
• Solving Word Problems Involving Inequalities – Ex 2
• Solving Word Problems Involving Inequalities – Ex 3
• Using Interval Notation to Express Inequalities – Ex 1
• Using Interval Notation to Express Inequalities – Ex 2
• Interval Notation – A basic question!
• Writing Compound Inequalities Using Interval Notation – Ex 1
• Writing Compound Inequalities Using Interval Notation – Ex 2
• Writing Compound Inequalities Using Interval Notation – Ex 3
• Absolute Value: Evaluating Numbers
• Absolute Value: Evaluating Expressions – Ex 1
• Absolute Value: Evaluating Expressions – Ex 2
• Absolute Value: Evaluating Expressions – Ex 3
• Matching Number Lines with Absolute Value Inequalities – Ex 1
• Solving Absolute Value Equations – Ex 1
• Solving Absolute Value Equations – Ex 2
• Solving Absolute Value Equations Containing TWO Absolute Value Expressions – Ex 1
• Solving Absolute Value Equations Containing TWO Absolute Value Expressions – Ex 2
• Solving Absolute Value Equations Containing TWO Absolute Value Expressions – Ex 3
• Solving Absolute Value Inequalities – Ex 1
• Solving Absolute Value Inequalities – Ex 2
• Solving Absolute Value Inequalities – Ex 3
• Solving Absolute Value Inequalities, MORE Ex 1
• Solving Absolute Value Inequalities, MORE Ex 2
• Solving Linear Absolute Value Equations and Inequalities
• Graphing Systems of Linear Inequalities – Ex 1
• Graphing Systems of Linear Inequalities – Ex 2
• Solving Linear Compound Inequalities – Ex 1
• Solving Linear Compound Inequalities – Ex 2
• Solving Linear Compound Inequalities – Ex 3
• Exponents: Basic Properties
• Exponents: Basic Problems – Ex 1
• Exponents: Basic Problems – Ex 2
• Exponents: A Few True/False Questions
• Exponents: Evaluating Expressions (Numbers Only, No Variables) – Ex 1
• Exponents: Evaluating Expressions (Numbers Only, No Variables) – Ex 2
• Exponents: Evaluating Expressions (Numbers Only, No Variables) – Ex 3
• Exponents: Applying the Rules of Exponents – Basic Ex 1
• Exponents: Applying the Rules of Exponents – Basic Ex 2
• Exponents: Applying the Rules of Exponents – Basic Ex 3
• Exponents: Applying the Rules of Exponents – Basic Ex 3
• Exponents: Negative Exponents
• Negative Exponents – Basic Rules and Examples
• Exponents: Simplifying Expressions with Negative Exponents – Ex 1
• Exponents: Simplifying Expressions with Negative Exponents – Ex 2
• Exponents: Simplifying Expressions with Negative Exponents – Ex 3
• Exponents: Numbers Raised to Fractional Exponents
• Exponents: Evaluating Numbers Raised to Fractional Exponents
• Exponents: Evaluating Numbers with Rational Exponents by using Radical Notation – Basic Ex 1
• Exponents: Multiplying Variables with Rational Exponents – Basic Ex 1
• Exponents: Multiplying Variables with Rational Exponents – Basic Ex 2
• Polynomial… or NOT?! Recognizing Polynomials, the degree and some Terminology
• Symmetry – A Quick Discussion for Testing if a Polynomial is Even / Odd
• Polynomials: Adding and Subtracting
• Polynomials: Adding, Subtracting, Multiplying and Simplifying – Ex 1
• Polynomials: Adding, Subtracting, Multiplying and Simplifying – Ex 2
• Polynomials: Adding, Subtracting, Multiplying and Simplifying – Ex 3
• Polynomials: Multiplying – Slightly Harder Ex 1
• Polynomials: Multiplying – Slightly Harder Ex 2
• Polynomials: Multiplying – Slightly Harder Ex 3
• Polynomials: Multiplying – Slightly Harder Ex 4 – Cubing Binomials
• Polynomials: Multiplying – Slightly Harder Ex 5 – Cubing Binomials
• Polynomials: Multiplying – Slightly Harder Ex 6
• Long Division of Polynomials
• Long Division of Polynomials – A slightly harder example
• Synthetic Division
• Synthetic Division – Ex 2
• The Remainder Theorem – Example 1
• The Remainder Theorem – Example 2
• Factoring Trinomials (A quadratic Trinomial) by Trial and Error
• Factoring Trinomials by Trial and Error – Ex 2
• Factoring Trinomials: Factor by Grouping – Ex 1
• Factoring Trinomials: Factor by Grouping – Ex 2
• Factoring Trinomials: Factor by Grouping – Ex 3
• Factoring Perfect Square Trinomials – Ex1
• Factoring Perfect Square Trinomials – Ex 2
• Factoring Perfect Square Trinomials – Ex3
• Factoring the Difference of Two Squares – Ex 1
• Factoring the Difference of Two Squares – Ex 2
• Factoring the Difference of Two Squares – Ex 3
• Factoring Sums and Differences of Cubes
• Factoring Sums and Differences of Cubes – Ex 3
• Factoring Using the Great Common Factor, GCF – Ex 1
• Factoring Using the Great Common Factor, GCF – Ex 2 – Factoring Out Binomials
• Finding all the Zeros of a Polynomial – Example 1
• Finding all the Zeros of a Polynomial – Example 2
• Finding all the Zeros of a Polynomial – Example 3
• Finding the Formula for a Polynomial Given: Zeros/Roots, Degree, and One Point – Example 1
• Finding the Formula for a Polynomial Given: Zeros/Roots, Degree, and One Point – Example 2
• Finding the Formula for a Polynomial Given: Zeros/Roots, Degree, and One Point – Example 3
• Rational Roots Test
• Descartes’ Rule of Signs
• The Conjugate Pair Theorem – Example 1
• The Conjugate Pair Theorem – Example 2
• Quadratic Equations – Factoring and Quadratic Formula
• Solving Quadratic Equations by Factoring – Basic Examples
• Solving Quadratic Equations by Factoring – Another Example
• Factoring by Grouping
• Factoring by Grouping – Ex 1
• Factoring By Grouping – Ex 2
• Quadratic Equations – Completing the Square
• Completing the Square – Solving Quadratic Equations
• Completing the Square: Solving Quadratic Equations – Ex 2
• Completing the Square to Solve Quadratic Equations: More Ex 1
• Completing the Square to Solve Quadratic Equations: More Ex 2
• Completing the Square to Solve Quadratic Equations: More Ex 3
• Completing the Square to Solve Quadratic Equations: More Ex 4
• Completing the Square to Solve Quadratic Equations: More Ex 5
• Completing the Square to Solve Quadratic Equations: More Ex 6
• Quadratic Formula
• Quadratic Formula: How to Derive
• Solving Quadratic Equations using the Quadratic Formula – Ex 1
• Solving Quadratic Equations using the Quadratic Formula – Ex 2
• Solving Quadratic Equations using the Quadratic Formula – Ex 3
• Quadratic Equations: Using the Discriminant
• Using the Discriminant to Predict the Types of Solutions to a Quadratic Equation – Ex 1
• Using the Discriminant to Predict the Types of Solutions to a Quadratic Equation – Ex 2
• Using the Discriminant to Predict the Types of Solutions to a Quadratic Equation – Ex 3
• Graphing Quadratic Functions – Ex 1
• Solving Fancy Quadratics – Ex 1
• Solving Fancy Quadratics – Ex 2
• Solving Fancy Quadratics – Ex 3
• Solving a Geometry Word Problem by Using Quadratic Equations – Ex 1
• Solving a Geometry Word Problem by Using Quadratic Equations – Ex 2
• Solving a Geometry Word Problem by Using Quadratic Equations – Ex 3
• Solving for ‘X’ ; Quadratic Equations Involving the Pythagorean Theorem – Ex 1
• Solving for ‘X’ ; Quadratic Equations Involving the Pythagorean Theorem – Ex 2
• Solving for ‘X’ ; Quadratic Equations Involving the Pythagorean Theorem – Ex 3
• Solving Word Problems in Distance, Rate, and Time Using Quadratics – Ex 1
• Solving Word Problems in Distance, Rate, and Time Using Quadratics – Ex 2
• Solving Word Problems in Distance, Rate, and Time Using Quadratics – Ex 3
• Solving a Projectile Problem Using Quadratics – Ex 1
• Solving a Projectile Problem Using Quadratics – Ex 2
• Solving a Projectile Problem Using Quadratics – Ex 3
• More Word Problems Using Quadratic Equations – Ex 1
• More Word Problems Using Quadratic Equations – Ex 2
• More Word Problems Using Quadratic Equations – Example 3
• Solving Quadratic Inequalities – The Basics
• Solving Quadratic Inequalities
• Solving Quadratic Inequalities – A Common Mistake
• Solving Quadratic Inequalities – Ex 1
• Solving Quadratic Inequalities – Ex 2
• Solving Quadratic Inequalities – Ex 3
• Solving Quadratic Inequalities, More Ex 1
• Solving Quadratic Inequalities, More Ex 2
• Solving Quadratic Inequalities, More Ex 3
• Solving Quadratic Inequalities, More Ex 4
• Solving Quadratic Inequalities – More Examples
• Rational Expressions and Domain
• Finding the Domain of an Expression Involving Fractions – Ex 1
• Finding the Domain of an Expression Involving Fractions – Ex 2
• Finding the Domain of an Expression Involving Fractions – Ex 3
• Finding Domains of Functions Involving Radicals (Square Roots to be More Precise!) – Example 1
• Finding Domains of Functions Involving Radicals (Square Roots to be More Precise!) – Ex 2
• Finding Domains of Functions Involving Radicals (Square Roots to be More Precise!) – Ex 3
• Finding the Domain of a Function Algebraically (No graph!)
• Rational Expressions: Writing in Lowest Terms – Ex 1
• Rational Expressions: Writing in Lowest Terms – Ex 2
• Rational Expressions: Adding and Subtracting
• Rational Expressions: Adding and Subtracting. Ex 1
• Rational Expressions: Adding and Subtracting. Ex 2
• Rational Expressions: Multiplying and Dividing. Ex 1
• Rational Expressions: Multiplying and Dividing. Ex 2
• Rational Expressions: Multiplying and Dividing. Ex 3
• Rational Equations: Solving
• Solving a Basic Rational Equation – Ex 1
• Solving a Basic Rational Equation – Ex 2
• Solving a Basic Rational Equation – Ex 3
• Solving a Basic Rational Equation – Ex 4
• Solving a Basic Rational Equation – Ex 5
• Graphing Some Basic Rational Functions – Example 1
• Graphing a Rational Function – Example 1
• Graphing a Rational Function – Example 2
• Graphing a Rational Function – Example 3
• Graphing a Rational Function – Example 4
• Rational Functions: Shortcut to Find Horizontal Asymptotes
• Rational Functions: Vertical Asymptotes
• Rational Functions: Slant Asymptotes
• Find Asymptotes of a Rational Function (Vertical and Oblique/Slant)
• Find Asymptotes of a Rational Function (Vertical and Oblique/Slant), Ex 2
• Graphing a Rational Function that has an Oblique/Slant Asymptote and a Vertical Asymptote
• Rational Inequalities: Solving
• Solving a Rational Inequality – Ex 1
• Solving a Rational Inequality – Ex 2
• Solving a Rational Inequality – Ex 3
• Solving a Rational Inequality, More Examples – Ex 1
• Solving a Rational Inequality, More Examples – Example 2
• Solving a Rational Inequality, More Examples – Example 3
• Piecewise Defined Functions: Graphing
• Graphing a Piece-Wise Defined Function – Another Example
• Piecewise Functions: Find the Formula from a Graph – Ex 1
• Piecewise Functions: Find the Formula from a Graph – Ex 2
• Evaluating Piecewise Defined Functions
• Functions: Adding and Subtracting
• Functions: Multiplying and Dividing
• Composition of Functions
• Finding Functions that Form a Particular Composite Function
• The Vertical Line Test
• X-Intercepts and Y-Intercepts of a Functions and Finding Them! Example 1
• X-Intercepts and Y-Intercepts of a Functions and Finding Them! Example 2
• The Difference Quotient – Example 1
• The Difference Quotient – Example 2
• Graphing the Greatest Integer or Floor Function
• Solving an Equation for a Specified Variable
• Solving Equations Involving Square Roots
• Solving an Equation Involving a Single Radical (Square Root) – Ex 1
• Solving an Equation Involving a Single Radical (Square Root) – Ex 2
• Solving an Equation Involving a Single Radical (Square Root) – Ex 3
• Solving an Equation Containing Two Radicals – Ex 1
• Solving an Equation Containing Two Radicals – Ex 2
• Solving an Equation Containing Two Radicals – Ex 3
• Solving Equations Involving Rational Exponents
• Solving an Equation Involving Rational Exponents – Ex 1
• Solving an Equation Involving Rational Exponents – Ex 2
• Solving an Equation Involving Rational Exponents – Ex 3
• The Cartesian Coordinate System – A few basic questions
• Basic Graphs that Every Algebra Student Should Know!!
• Graphing Equations by Plotting Points – Example 1
• Graphing Equations by Plotting Points – Example 2
• Graphing Equations by Plotting Points – Example 3
• Finding Domain and Range of a Function using a Graph
• Domain and Range From a Graph
• Local Max/Min, Inc/Dec: On a Graph
• Finding Limits From a Graph
• Horizontal and Vertical Graph Transformations
• Horizontal And Vertical Graph Stretches and Compressions Part 1 of 3
• Horizontal And Vertical Graph Stretches and Compressions Part 2 of 3
• Graph Transformations about the X-axis and Y-axis
• Graphing Using Graph Transformations – Ex 1
• Graphing Using Graph Transformations – Ex 2
• Inverse Functions – The Basics!
• Inverse of a Function
• Finding the Inverse of a Function or Showing One Does not Exist, Ex 2
• Finding the Inverse of a Function or Showing One Does not Exist, Ex 3
• Finding the Inverse of a Function or Showing One Does not Exist, Ex 4
• Solving a Linear System of Equations by Graphing
• Linear System of Equations: Row Reducing – Part 1
• Linear System of Equations: Row Reducing – Part 2
• Linear System of Equations: Solving using Substitution
• Linear System of Equations: Solving using Elimination by Addition
• Solving a System of Equations Involving 3 Variables Using Elimination by Addition – Example 1
• Solving a System of Equations Involving 3 Variables Using Elimination by Addition – Example 2
• Solving a System of Equations Involving 3 Variables Using Elimination by Addition – Example 3
• Systems of Linear Equations – Inconsistent Systems Using Elimination by Addition – Example 1
• Systems of Linear Equations – Inconsistent Systems Using Elimination by Addition – Example 2
• Systems of Linear Equations – Inconsistent Systems Using Elimination by Addition – Example 3
• Solving a Dependent System of Linear Equations involving 3 Variables
• Using Gauss-Jordan to Solve a System of Three Linear Equations – Example 1
• Using Gauss-Jordan to Solve a System of Three Linear Equations – Example 2
• Cramer’s Rule to Solve a System of 3 Linear Equations – Example 1
• Cramer’s Rule to Solve a System of 3 Linear Equations – Example 2
• The Distance Formula
• The Distance Formula and Finding the Distance Between Two Points – Example 1
• The Distance Formula and Finding the Distance Between Two Points – Example 2
• The Midpoint Formula
• The Midpoint Formula – Finding the Midpoint
• Collinearity and Distance: Determining if Three Points are Collinear, Example 1
• Collinearity and Distance: Determining if Three Points are Collinear, Example 2
• Collinearity and Distance: Determining if Three Points are Collinear, Example 3
• Word Problem: Distance, Rate, and Time
• Pythagorean Theorem
• Word Problems Using the Pythagorean Theorem – Ex 1
• Word Problems Using the Pythagorean Theorem – Ex 2
• Word Problems Using the Pythagorean Theorem – Ex 3
• Word Problem Involving Perimeter of a Triangle – Ex 1
• Word Problem Involving Perimeter of a Triangle – Ex 2
• Word Problem Involving the Perimeter of a Rectangle – Ex 1
• Word Problem Involving the Perimeter of a Rectangle – Ex 2
• Coterminal Angles – Example 1
• Coterminal Angles – Example 2
• Coterminal Angles – Example 3
• Finding the Quadrant in Which an Angle Lies – Example 1
• Finding the Quadrant in Which an Angle Lies – Example 2
• Finding the Quadrant in Which an Angle Lies – Example 3
• Adding and Subtracting Complex (Imaginary) Numbers
• Rewriting Radicals using Complex Numbers
• Rewriting Powers of ‘ i ‘ – Ex 1
• Rewriting Powers of ‘ i ‘ – Ex 2
• Complex Numbers: Graphing, Adding, Subtracting
• Complex Numbers: Multiplying and Dividing
• Complex Numbers: Multiplying – Ex 1
• Complex Numbers: Multiplying – Ex 2
• Complex Numbers: Dividing – Ex 1
• Complex Numbers: Dividing – Ex 2
• Complex Numbers: Dividing – Ex 3
• Conic Sections: Parabolas, Part 1
• Conic Sections: Parabolas, Part 2 (Directrix and Focus)
• Conic Sections: Parabolas, Part 3 (Focus and Directrix)
• Conic Sections: Parabolas, Part 4 (Focus and Directrix)
• Conic Sections: Parabolas, Part 5 (Focus and Directrix)
• Graphing a Parabola
• Conic Sections: Hyperbolas, An Introduction
• Conic Sections: Hyperbolas, An Introduction – Graphing Example
• Finding the Equation for a Hyperbola Given the Graph – Example 1
• Conic Sections: Graphing Ellipses – Part 1
• The Center-Radius Form for a Circle – A few Basic Questions, Example 1
• The Center-Radius Form for a Circle – A few Basic Questions, Example 2
• Finding the Center-Radius Form of a Circle by Completing the Square – Example 1
• Finding the Center-Radius Form of a Circle by Completing the Square – Example 2
• Finding the Center-Radius Form of a Circle by Completing the Square – Example 3
• Identifying a Conic from an Equation by Completing the Square, Ex 1
• Identifying a Conic from an Equation by Completing the Square, Ex 2
• Identifying a Conic from an Equation by Completing the Square, Ex 3
• Matrices: Basic Matrix Operations (add, subtract, multiply by constant)
• Matrices: Multiplying a Matrix by another Matrix
• Finding the Inverse of a 3 x 3 Matrix using Determinants and Cofactors – Example 1
• Finding the Inverse of a 3 x 3 Matrix using Determinants and Cofactors – Example 2
• Finding the Inverse of a 3 x 3 Matrix using Determinants and Cofactors – Example 3
• Logarithms: Properties of Logarithms – Part 1
• Logarithms: Properties of Logarithms – Part 2
• Properties of Logarithms
• Solving Logarithmic Equations – Example 1
• Solving Logarithmic Equations – Example 2
• Change of Base Formula for Logarithms
• Solving Exponential Equations
• Exponential Function From a Graph
• Word Problem: Exponential Growth
• Factoring Trigonometric Expressions, Example 1
• Factoring and Simplifying Trigonometric Expressions – Example 2
• Simplifying Products of Binomials Involving Trigonometric Functions, Ex 2
• Binomial Theorem – Ex 1
• Binomial Theorem – Ex 2
• Arithmetic Sequences: A Quick Intro
• Arithmetic Sequences: Finding a General Formula Given Two Terms
• Finding the Sum of a Finite Arithmetic Series
• Proof by Induction – Example 1
• Proof by Induction – Example 2
• Proof by Induction – Example 3
• Understanding Simple Interest and Compound Interest
• Deriving the Annual Compound Interest Formula
• Compound Interest – More than Once Per Year
• Compound Interest – More than Once Per Year – Part 2
• Finding an Interest Rate to Match Certain Financial Goals, Ex 1
• Finding an Interest Rate to Match Certain Financial Goals, Ex 2
• Finding an Interest Rate to Match Certain Financial Goals, Ex 3
• Word Problem: Finding Consecutive Numbers That Satisfy a Given Requirement – Ex 2
• Word Problem: Finding Consecutive Numbers That Satisfy a Given Requirement – Ex 3

ARITHMETIC

• Arithmetic Basics – Long Division of Numbers, Dividing by a Two Digit Number
• Arithmetic Basics: Long Division of Numbers
• Arithmetic Basics: Finding the Percent of a Number
• Arithmetic Basics: Multiplying Decimals
• Arithmetic Basics: Dividing Decimals
• Arithmetic Basics: Converting Decimals into Fractions
• Fractions – Adding and Subtracting
• Fractions: Adding and Subtracting – Numerical and Variable Examples
• Fractions: Adding and Subtracting Fractions with Different Denominators
• Fractions – Multiplying and Dividing
• Basic Math: Dividing Fractions
• Comparing Fractions using Inequalities – Ex 1
• Comparing Fractions using Inequalities – Ex 2
• Fractions: Multiplying, Reducing, Adding and Subtracting
• Averages and Word Problems – Basic Example
• Averages: Finding an Average Grade You Need to Make to Bring Your Grade up to a Desired Amount
• Averages: What Grade do I Need on the Final to Pass the Class?!
• Factoring a Number
• Factoring a Number
• Least Common Multiple
• Absolute Value: Evaluating Numbers
• Complex Numbers: Multiplying and Dividing

CALCULUS

• What is a Limit? Basic Idea of Limits
• Calculating a Limit by Factoring and Cancelling
• Calculating a Limit by Getting a Common Denominator
• Calculating a Limit by Expanding and Simplifying
• Calculating a Limit by Multiplying by a Conjugate
• Calculating a Limit Involving Absolute Value
• sin(x)/x Limit as x Approaches Zero
• Squeeze Theorem for Limits
• Infinite Limits
• Infinite Limits – Basic Idea and Shortcuts for Rational Functions
• Infinite Limits with a Radical in the Expression
• Continuity – Part 1 of 2
• Continuity – Part 2 of 2
• Intermediate Value Theorem
• Partial Fraction Decomposition – Example 1
• What is a Derivative? Understanding the Definition
• Sketching the Derivative of a Function
• Derivatives – Basic Examples
• Derivatives: Product Rule
• Derivatives: Quotient Rule
• Derivatives: Chain Rule
• Tangent Line: Finding the Equation
• Chain Rule: Basic Problems
• Chain Rule + Product Rule + Factoring
• Chain Rule + Product Rule + Simplifying – Ex 1
• Chain Rule + Product Rule + Simplifying – Ex 2
• Chain Rule +Quotient Rule + Simplifying
• Chain Rule – Harder Ex 1
• Chain Rule – Harder Ex 2
• Chain Rule – Harder Ex 3
• Derivatives – More Complicated Examples
• Derivatives – More Complicated Examples
• Critical Numbers – Ex 1
• Critical Numbers – Ex 2
• Local Max/Min, Inc/Dec: From a Function
• Local Maximums/Minimums – Second Derivative Test
• Mean Value Theorem
• Proof By Contradiction – Calculus Based Example
• The Closed Interval Method to Find Absolute Maximums and Minimums
• Implicit Differentiation – Basic Idea and Examples
• Implicit Differentiation – Extra Examples
• Implicit Differentiation – More Examples
• Implicit Differentiation and Second Derivatives
• Concavity and Second Derivatives
• Related Rates – A Point on a Graph
• Related Rates Involving Baseball!
• Related Rates Problem Using Implicit Differentiation
• Related Rates Involving Trigonometry
• Related Rates Using Cones
• Linearization at a Point
• Sketching the Curve Using Calculus – Part 1 of 2
• Sketching the Curve Using Calculus – Part 2 of 2
• Sketching the Curve Summary – Graphing Ex 2 – Part 1 of 4
• Sketching the Curve Summary – Graphing Ex 2 – Part 2 of 4
• Sketching the Curve Summary – Graphing Ex 2 – Part 3 of 4
• Sketching the Curve Summary – Graphing Ex 2 – Part 4 of 4
• Optimization Problem #1
• Optimization Problem #3 – Making a Rain Gutter!
• Optimization Problem #2
• Newton’s Method
• Definite Integral – Understanding the Definition
• Approximating a Definite Integral Using Rectangles
• Riemann Sums: Calculating a Definite Integral – Part 1
• Riemann Sums: Calculating a Definite Integral – Part 2
• Integration by U-Substitution: Antiderivatives
• Integration by U-Substitution, Definite Integral
• Integration by U-Substitution – Indefinite Integral, Another 2 Examples
• Integration by U-substitution, More Complicated Examples
• Areas Between Curves
• Fundamental Theorem of Calculus Part 1
• Area Between Curves – Integrating with Respect to y
• Area Between Curves – Integrating with Respect to y – Part 2
• Volumes of Revolution: Disk/Washers about Vertical Lines
• Volumes of Revolution: Disk/Washers – Ex 1
• Volumes of Revolution: Disk/Washers – Ex 2
• Volumes of Revolution: Cylindrical Shells
• Volumes of Revolution: Cylindrical Shells – Longer Version
• Volumes of Revolution: Disk/Washers – Ex 3
• Work and Hooke’s Law – Ex 1
• Work and Hooke’s Law – Ex 2
• Work Required to Drain a Tank
• Work: The Cable/Rope Problem Part 1
• Work: The Cable/Rope Problem – Part 2
• Derivatives of Exponential Functions
• Exponents: Negative Exponents
• Integrals: Exponential Functions – Ex 1 and 2
• Integrals: Exponential Functions – Ex 3 and 4
• Derivatives of Logarithmic Functions
• Derivatives of Logarithmic Functions – More Examples
• Logarithmic Differentiation – Ex 1
• Logarithmic Differentiation – Ex 2
• Logarithmic Differentiation – Ex 3
• Inverse Trigonometric Functions: Derivatives – Ex 2
• Inverse Trigonometric Functions: Derivatives – Ex 3
• Integrals: Inverse Trigonometric Functions – Ex 1
• Integrals: Inverse Trigonometric Functions – Ex 2
• Hyperbolic Functions – The Basics
• Derivatives of Hyperbolic Functions
• Derivatives of Inverse Hyperbolic Functions
• Integrals: Hyberbolic Functions
• L’Hospital’s Rule – Indeterminate Quotients
• L’Hospital’s Rule – Indeterminate Products
• L’Hospital’s Rule – Indeterminate Differences
• L’Hospital’s Rule – Indeterminate Powers
• Integration by Parts – Ex 1
• Integration by Parts – Definite Integral
• Integration By Parts – Using IBP’s Twice
• Integration by Parts – A Loopy Example!
• Trigonometric Integrals – Part 1 of 6
• Trigonometric Integrals – Part 2 of 6
• Trigonometric Integrals – Part 3 of 6
• Trigonometric Integrals – Part 4 of 6
• Trigonometric Integrals – Part 5 of 6
• Trigonometric Integrals – Part 6 of 6
• Trigonometric Substitution – Ex 2
• Trigonometric Substitution – Ex 3/ Part 1
• Trigonometric Substitution – Ex 3 / Part 2
• Integration by Partial Fractions: Long Division
• Integration by Partial Fractions: Determining Coefficients
• Integration by Partial Fractions: A Complete Problem
• Integration by Partial Fractions and a Rationalizing Substitution
• Approximating Integrals: Simpsons Rule
• Approximating Integrals: Simpsons Rule Error Bound
• Improper Integral – Infinity in Upper and Lower Limits
• Improper Integral with Infinite Discontinuity at Endpoint
• Approximating Integrals: Trapezoid Rule
• Arc Length
• Arc Length Formula – Example 1
• Arc Length Formula – Example 2
• Centroids / Centers of Mass – Part 1 of 2
• Centroids / Centers of Mass – Part 2 of 2
• First Order Linear Differential Equations
• Solving Separable First Order Differential Equations – Ex 1
• Separable Differential Equations: Mixing Problems
• Exponential Decay / Finding Half Life
• Laplace Transform
• Polar Coordinates – The Basics
• Polar Coordinates – Basic Graphing
• Parametric Curves – Basic Graphing
• Arc Length Using Parametric Curves – Ex 1
• Arc Length Using Parametric Curves – Ex 2
• Derivatives of Parametric Functions
• Parametric Curves: Finding Second Derivatives
• Parametric Curves – Calculating Area
• Graphing a Polar Curve – Part 1
• Graphing a Polar Curve – Part 2
• Polar Coordinates: Finding Areas
• Conic Sections: Graphing Ellipses – Part 2
• Factorials – Evaluating Factorials! Basic Info
• What is a Sequence? Basic Sequence Info
• Geometric Sequences: A Quick Intro
• Geometric Sequences: A Formula for the’ n – th ‘ Term.
• Sequences – Examples Showing Convergence or Divergence
• Summation Notation
• What is a Series?
• Showing a Series Diverges using Partial Sums
• Geometric Series and the Test for Divergence
• Geometric Series and the Test for Divergence – Part 2
• Geometric Series: Expressing a Decimal as a Rational Number
• Telescoping Series Example
• Integral Test for Series
• Limit Comparison Test and Direct Comparison Test – 1
• Limit Comparison Test and Direct Comparison Test – 2
• Remainder Estimate for the Integral Test
• Alternating Series
• Alternating Series: More Examples
• Alternating Series Estimation Theorem
• Ratio Test for Series – Ex 1
• Ratio Test for Series – Ex 2
• Absolute Convergence, Conditional Convergence and Divergence
• Strategy for Testing Series – Practice Problems
• Power Series: Finding the Interval of Convergence
• Radius of Convergence for a Power Series
• Power Series Representation of a Function
• Power Series: Differentiating and Integrating
• Power Series: Multiplying and Dividing
• Taylor and Maclaurin Series – Ex 1
• Taylor and Maclaurin Series – Ex 2
• Taylor / Maclaurin Series for Sin (x)
• Taylor’s Inequality
• Maclaurin/Taylor Series: Approximate a Definite Integral to a Desired Accuracy
• Binomial Series – Ex 1
• Binomial Series – Ex 2
• Using Series to Evaluate Limits
• An Introduction to Vectors, Part 1
• Vector Basics: Drawing Vectors/Vector Addition
• Finding the Components of a Vector, Ex 1
• Finding the Components of a Vector, Ex 2
• Vector Basics: Algebraic Representations – Part 1
• Vector Basics: Algebraic Representations – Part 2
• Vector Addition and Scalar Multiplication, Example 1
• Vector Addition and Scalar Multiplication, Example 2
• Magnitude and Direction of a Vector, Example 1
• Magnitude and Direction of a Vector, Example 2
• Magnitude and Direction of a Vector, Example 3
• When Are Two Vectors Considered to Be the Same?
• Finding a Unit Vector, Ex 1
• Finding a Unit Vector, Ex 2
• Word Problems Involving Velocity or Other Forces (Vectors), Ex 1
• Word Problems Involving Velocity or Other Forces (Vectors), Ex 3.
• Finding the Vector Equation of a Line
• Vectors: The Dot Product
• Cross Product
• Torque: An application of the cross product
• Finding and Sketching the Domain of a Multivariable Function
• Partial Derivatives: Higher Order
• Showing a Limit Does NOT Exist
• Partial Derivatives
• Generalized Chain Rule – Part 1
• Generalized Chain Rule – Part 2
• Implicit Function Theorem
• Implicit Differentiation, Multivariable Function – Ex 1
• Implicit Differentiation, Multivariable Function – Ex 2
• Double Integrals – Basic Idea and Examples
• Finding the Scalar Equation of a Plane
• Rational Functions: Shortcut to Find Horizontal Asymptotes
• Finding the Point Where a Line Intersects a Plane
• Evaluating a Line Integral Along a Straight Line Segment
• Double Integrals over General Regions
• Tangent Plane Approximations
• Double Integral Using Polar Coordinates – Part 1 of 3
• Double Integral Using Polar Coordinates – Part 2 of 3
• Double Integral Using Polar Coordinates – Part 3 of 3
• Double Integrals – Changing Order of Integration
• Local Maximum and Minimum Values/ Function of Two Variables
• Local Maximum and Minimum Values/ Function of Two Variables part 2
• Absolute Maximum/Minimum Values of Multivariable Functions – Part 1 of 2
• Absolute Maximum/Minimum Values of Multivariable Functions – Part 2 of 2
• Change of Variables in Multiple Integrals – A Double Integral Example, Part 1 of 2
• Change of Variables in Multiple Integrals – A Double Integral Example, Part 2 of 2
• Double Integrals: Changing Order of Integration – Full Example
• Triple Integrals
• Triple Integral in Spherical Coordinates
• LaGrange Multipliers
• Lagrange Multipliers: Two Constraints – Part 1
• Lagrange Multipliers: Two Constraints – Part 2
• Finding the Domain of a Vector Function
• Vector Fields – Sketching
• Conservative Vector Fields – The Definition and a Few Remarks
• Gradient Vector – Notation and Definition
• Finding the Directional Derivative – Ex 1
• The Difference Quotient – Example 1
• The Difference Quotient – Example 2
• Fundamental Theorem for Line Integrals
• Potential of a Conservative Vector Field – Ex 2
• Potential for a Conservative Vector Field – Ex 1
• Conservative Vector Fields – Showing a Vector Field on R_2 is Conservative
• Jacobian
• Curl and Showing a Vector Field is Conservative on R_3 – Ex 1
• Arc Length of a Vector Function
• Line Integrals – Evaluating a Line Integral
• Curl and Showing a Vector Field is Conservative on R_3 – Ex 2
• Green’s Theorem
• Surface Area – Part 1
• Surface Integral – Basic Example
• Local Max/Min, Inc/Dec: On a Graph
• Finding Limits From a Graph
• Inverse Functions – The Basics!
• Inverse of a Function
• Finding the Inverse of a Function or Showing One Does not Exist, Ex 2
• Finding the Inverse of a Function or Showing One Does not Exist, Ex 3
• Finding the Inverse of a Function or Showing One Does not Exist, Ex 4
• Conic Sections: Graphing Ellipses – Part 1
• Properties of Logarithms
• Word Problem: Exponential Growth
• Finding the Sum of a Finite Arithmetic Series

DIFFERENTIAL EQUATIONS

• Exact Differential Equations
• Homogeneous Second Order Linear Differential Equations
• Method of Undetermined Coefficients/2nd Order Linear DE – Part 1
• Method of Undetermined Coefficients/2nd Order Linear DE – Part 2
• Homogeneous Second Order Linear DE – Complex Roots Example
• Power Series Solutions of Differential Equations
• Separable Differential Equation, Example 2
• Euler’s Method for Differential Equations – The Basic Idea
• Euler’s Method – Concrete Example #1
• The Logistic Equation and the Analytic Solution
• The Logistic Equation and Models for Population – Example 1, part 1
• The Logistic Equation and Models for Population – Example 1, part 2
• Using the Ratio Test to Determine if a Series Converges #3 (Factorials)
• First Order Linear Differential Equations
• Solving Separable First Order Differential Equations – Ex 1
• Separable Differential Equations: Mixing Problems
• Laplace Transform

DISCRETE MATH

• Permutations – Counting Using Permutations
• Combinations – Counting Using Combinations
• Venn Diagrams – An Introduction
• Sets: Union and Intersection
• Venn Diagrams: Shading Regions for Two Sets
• Venn Diagrams: Shading Regions with Three Sets, Part 1 of 2
• Venn Diagrams: Shading Regions with Three Sets, Part 2 of 2
• Recursive Sequences
• Greatest Common Factor, GCF
• Binomial Theorem – Ex 1
• Binomial Theorem – Ex 2
• Arithmetic Sequences: Finding a General Formula Given Two Terms
• Proof by Induction – Example 1
• Proof by Induction – Example 2
• Proof by Induction – Example 3

LINEAR ALGEBRA

• Solving a System of Linear Equations Using Inverses
• Vectors: Finding Magnitude or Length
• Linear Programming
• Finding the Determinant of a 3 x 3 matrix
• The Law of Cosines
• Markov Chains – Intro Part 1
• Markov Chains – Intro Part 2
• The Simplex Method – Finding a Maximum / Word Problem Example, Part 1 of 5
• The Simplex Method – Finding a Maximum / Word Problem Example, Part 2 of 5
• The Simplex Method – Finding a Maximum / Word Problem Example, Part 3 of 5
• The Simplex Method – Finding a Maximum / Word Problem Example, Part 4 of 5
• The Simplex Method – Finding a Maximum / Word Problem Example, Part 5 of 5
• Multiplying Matrices – Example 2
• Multiplying Matrices – Example 3
• Determinant of a 2 x 2 Matrix – A Few Basic Questions
• Solving a 3 x 3 System of Equations Using the Inverse
• Determinants to Find the Area of a Triangle
• Determinants to Find the Area of a Polygon
• An Introduction to Vectors, Part 1
• Vector Basics: Drawing Vectors/Vector Addition
• Finding the Components of a Vector, Ex 1
• Finding the Components of a Vector, Ex 2
• Vector Basics: Algebraic Representations – Part 1
• Vector Basics: Algebraic Representations – Part 2
• Vector Addition and Scalar Multiplication, Example 1
• Vector Addition and Scalar Multiplication, Example 2
• Magnitude and Direction of a Vector, Example 1
• Magnitude and Direction of a Vector, Example 2
• Magnitude and Direction of a Vector, Example 3
• When Are Two Vectors Considered to Be the Same?
• Finding a Unit Vector, Ex 1
• Finding a Unit Vector, Ex 2
• Vectors: The Dot Product
• Cross Product
• Torque: An application of the cross product
• The Cartesian Coordinate System – A few basic questions
• Linear System of Equations: Row Reducing – Part 1
• Linear System of Equations: Row Reducing – Part 2
• Using Gauss-Jordan to Solve a System of Three Linear Equations – Example 1
• Using Gauss-Jordan to Solve a System of Three Linear Equations – Example 2
• Cramer’s Rule to Solve a System of 3 Linear Equations – Example 1
• Cramer’s Rule to Solve a System of 3 Linear Equations – Example 2
• Matrices: Basic Matrix Operations (add, subtract, multiply by constant)
• Matrices: Multiplying a Matrix by another Matrix
• Finding the Inverse of a 3 x 3 Matrix using Determinants and Cofactors – Example 1
• Finding the Inverse of a 3 x 3 Matrix using Determinants and Cofactors – Example 2
• Finding the Inverse of a 3 x 3 Matrix using Determinants and Cofactors – Example 3
• Proof by Induction – Example 1
• Proof by Induction – Example 2
• Proof by Induction – Example 3

PROBABILITY AND STATISTICS

• Multiplication Principle: Counting Techniques
• Calculating the Probability of Simple Events
• Calculating Probability – ” And ” Statements, independent events
• Calculating Probability: “And” Statements, Dependent Events.
• Calculating Probability: “At Least One” statements
• Calculating the Probability of Winning the Texas Lottery
• Statistics: Calculating Variance
• Box and Whisker Plot
• Expected Value
• Binomial Distribution: Binomial Probability Function
• Poisson Distribution
• Probability Density Functions: Continuous Random Variables
• The Normal Distribution and the 68-95-99.7 Rule
• Laplace Transform
• Binomial Theorem – Ex 1
• Binomial Theorem – Ex 2
• Understanding Simple Interest and Compound Interest
• Deriving the Annual Compound Interest Formula

TRIGONOMETRY

• Solving Trigonometric Equations
• Right Triangles and Trigonometry
• A Way to Remember the Unit Circle
• A Trick to Remember Values on The Unit Circle
• Deriving Trigonometric Identities from Known Identities
• Proving some Random Trigonometric Identities
• A way to remember the Entire Unit Circle for Trigonometry
• Inverse Trigonometric Functions: Derivatives – Ex 1
• Graphing the Trigonometric Functions
• Graphing Trigonometric Functions, Graph Transformations – Part 1
• The Law of Cosines
• Special Right Triangles in Trigonometry: 45-45-90 and 30-60-90
• Complementary and Supplementary Angles – Example 1
• Complementary and Supplementary Angles – Example 2
• Degrees and Radians and Converting Between Them! Example 1
• Degrees and Radians and Converting Between Them! Example 2
• The Trigonometric Functions: The Basics! Example 1
• The Trigonometric Functions: The Basics! Example 2
• Finding Trigonometric Function Values Given One Trig Value in a Right Triangle, Ex 1
• Finding Trigonometric Function Values Given One Trig Value in a Right Triangle, Ex 2
• Finding Trigonometric Function Values Given One Trig Value in a Right Triangle, Ex 3
• Finding an Angle Given the Value of a Trigonometric Function – Example 1
• Finding an Angle Given the Value of a Trigonometric Function – Example 2
• Trigonometric Functions To Find Unknown Sides of Right Triangles, Ex 1
• Trigonometric Functions To Find Unknown Sides of Right Triangles, Ex 2
• Trigonometric Functions To Find Unknown Sides of Right Triangles, Ex 3
• Finding the Height of an Object Using Trigonometry, Example 1
• Finding the Height of an Object Using Trigonometry, Example 2
• Finding the Height of an Object Using Trigonometry, Example 3
• Evaluating Trigonometric Functions for an Unknown Angle, Given a Point on the Angle, Ex 1
• Evaluating Trigonometric Functions for an Unknown Angle, Given a Point on the Angle, Ex 2
• Reference Angle for an Angle, Ex 1 (Using Degrees)
• Reference Angle for an Angle, Ex 2 (Using Radians)
• Evaluating Trigonometric Functions Using the Reference Angle, Example 1
• Evaluating Trigonometric Functions Using the Reference Angle, Example 2
• Finding Trigonometric Values Given One Trigonometric Value/Other Info, Example 1
• Finding Trigonometric Values Given One Trigonometric Value/Other Info, Example 2
• Evaluating Trigonometric Functions at Important Angles, Ex 1
• Evaluating Trigonometric Functions at Important Angles, Ex 2
• The Graph of Cosine, y = cos (x)
• Graphing Sine and Cosine With Different Coefficients (Amplitude and Period), Ex 1
• Graphing y = -2 cos(2x)
• Graphing Sine and Cosine with Phase (Horizontal) Shifts, Example 1
• Graphing Sine and Cosine with Phase (Horizontal) Shifts, Example 2
• Trigonometric Functions and Graphing: Amplitude, Period, Vertical and Horizontal Shifts, Ex 2
• Basic Questions Related to Tangent, Cotangent, Secant, Cosecant, Ex 1
• Basic Questions Related to Tangent, Cotangent, Secant, Cosecant, Ex 2
• Basic Questions Related to Tangent, Cotangent, Secant, Cosecant, Ex 3
• Basic Questions Related to Tangent, Cotangent, Secant, Cosecant, Ex 4
• Finding a Formula for a Trigonometric Graph, Ex 1
• Finding a Formula for a Trigonometric Graph, Ex 2
• Trigonometry Word Problem, Finding The Height of a Building, Example 1
• Trigonometry Word Problem, Example 2
• Trigonometry Word Problem, Determining the Speed of a Boat, Example 3
• Simplifying Trigonometric Expressions Using Identities, Example 1
• Simplifying Trigonometric Expressions Using Identities, Example 2
• Simplifying Trigonometric Expressions Using Identities, Example 3
• Simplifying Trigonometric Expressions Involving Fractions, Ex 1
• Simplifying Trigonometric Expressions Involving Fractions, Example 2
• Simplifying Products of Binomials Involving Trigonometric Functions, Ex 1
• Examples with Trigonometric Functions: Even, Odd or Neither, Example 1
• Examples with Trigonometric Functions: Even, Odd or Neither, Example 2
• Examples with Trigonometric Functions: Even, Odd or Neither, Example 3
• Examples with Trigonometric Functions: Even, Odd or Neither, Example 4
• Proving an Identity, Example 1
• Proving an Identity, Example 2
• Proving an Identity – Other Examples, Example 1
• Proving an Identity – Other Examples, Example 2
• Solving a Basic Trigonometric Equation, Example 1
• Solving a Basic Trigonometric Equation, Example 2
• Solving a Basic Trigonometric Equation, Example 3
• Solving a Trigonometric Equation by Factoring, Example 1
• Solving a Trigonometric Equation by Factoring, Example 2
• Solving a Trigonometric Equation by Factoring, Example 3
• Solving Trigonometric Equations with Coefficients in the Argument – Example 1
• Solving Trigonometric Equations with Coefficients in the Argument – Example 2
• Solving Trigonometric Equations with Coefficients in the Argument – Example 3
• Solving Trigonometric Equations Using the Quadratic Formula – Example 1
• Solving Trigonometric Equations Using the Quadratic Formula – Example 2
• Solving Trigonometric Equations Using the Quadratic Formula – Example 3
• Solving Word Problems Involving Trigonometric Equations, Example 2
• Identities for Sum and Differences of Sine and Cosine, Example 1
• Identities for Sum and Differences of Sine and Cosine, Example 2
• Solving Word Problems Involving Trigonometric Equations, Example 1
• Sum and Difference Identities to Simplify an Expression, Example 3
• Identities for Sum and Differences of Sine and Cosine, Example 3
• Sum and Difference Identities for Sine and Cosine, More Examples #1
• Sum and Difference Identities for Sine and Cosine, More Examples #2
• Sum and Difference Identities for Sine and Cosine, More Examples #3
• Sum and Difference Identities to Simplify an Expression, Example 1
• Sum and Difference Identities to Simplify an Expression, Example 2
• Using the Sum and Difference Identities for Sine, Cosine and Tangent, Ex 1
• Using the Sum and Difference Identities for Sine, Cosine and Tangent, Ex 2
• Using the Sum and Difference Identities for Sine, Cosine and Tangent, Ex 3
• Using Double Angle Identities to Solve Equations, Example 1
• Using Double Angle Identities to Solve Equations, Example 2
• Half Angle Identities to Evaluate Trigonometric Expressions, Example 3
• Using Double Angle Identities to Solve Equations, Example 3
• Word Problems Involving Multiple Angle Identities, Example 1
• Word Problems Involving Multiple Angle Identities, Example 2
• Word Problems Involving Multiple Angle Identities, Example 3
• Cofunction Identities, Example 2
• Cofunction Identities, Example 3
• Power Reducing Formulas for Sine and Cosine, Example 1
• Power Reducing Formulas for Sine and Cosine, Example 2
• Half Angle Identities to Evaluate Trigonometric Expressions, Example 1
• Half Angle Identities to Evaluate Trigonometric Expressions, Example 2
• Law of Cosines, Example 2
• The Law of Sines, Example 1
• The Law of Sines, Example 2
• Law of Sines, Example 3
• Side Angle Side for Triangles, Finding Missing Sides/Angles, Example 1
• Side Angle Side for Triangles, Finding Missing Sides/Angles, Example 2
• Solving a Triangle, SAS, Example 1
• Solving a Triangle, SAS, Example 2
• Law of Sines – Application/Word Problem, Ex 1
• Law of Sines – Application / Word Problem, Ex 2
• Heron’s Formula, Example 1
• Heron’s Formula, Example 3
• Law of Cosines, Example 1
• Heron’s Formula, Ex 2
• Law of Cosines, Example 3
• Law of Cosines, Example 4
• Law of Cosines, Example 5
• Law of Cosines, Example 6
• Law of Cosines, Word Problem #1
• DeMoivre’s Theorem: Raising a Complex Number to a Power, Ex 1
• DeMoivre’s Theorem: Raising a Complex Number to a Power, Ex 2
• Degrees and Radians
• Maximum and Minimum Values of Sine and Cosine Functions, Ex 1
• Maximum and Minimum Values of Sine and Cosine Functions, Ex 2
• Inverse Trigonometric Functions: Derivatives – Ex 2
• Inverse Trigonometric Functions: Derivatives – Ex 3
• Integrals: Inverse Trigonometric Functions – Ex 1
• Integrals: Inverse Trigonometric Functions – Ex 2
• Arc Length Formula – Example 1
• Arc Length Formula – Example 2
• Polar Coordinates – The Basics
• Graphing a Polar Curve – Part 1
• Graphing a Polar Curve – Part 2
• Solving for ‘X’ ; Quadratic Equations Involving the Pythagorean Theorem – Ex 1
• Solving for ‘X’ ; Quadratic Equations Involving the Pythagorean Theorem – Ex 2
• Solving for ‘X’ ; Quadratic Equations Involving the Pythagorean Theorem – Ex 3
• The Distance Formula and Finding the Distance Between Two Points – Example 1
• Pythagorean Theorem
• Word Problems Using the Pythagorean Theorem – Ex 1
• Word Problems Using the Pythagorean Theorem – Ex 2
• Word Problems Using the Pythagorean Theorem – Ex 3
• Coterminal Angles – Example 1
• Coterminal Angles – Example 2
• Coterminal Angles – Example 3
• Finding the Quadrant in Which an Angle Lies – Example 1
• Finding the Quadrant in Which an Angle Lies – Example 2
• Finding the Quadrant in Which an Angle Lies – Example 3
• The Center-Radius Form for a Circle – A few Basic Questions, Example 1
• The Center-Radius Form for a Circle – A few Basic Questions, Example 2
• Factoring Trigonometric Expressions, Example 1
• Factoring and Simplifying Trigonometric Expressions – Example 2
• Simplifying Products of Binomials Involving Trigonometric Functions, Ex 2

Misc

• Venn Diagrams – An Introduction
• Recursive Sequences
• Graph Theory – An Introduction!
• Euler Circuits and Euler Paths
• Complex Numbers: Graphing and Finding the Modulus, Ex 1
• Complex Numbers: Graphing and Finding the Modulus, Ex 2
• Expressing a Complex Number in Trigonometric or Polar Form, Ex 1
• Expressing a Complex Number in Trigonometric or Polar Form, Ex 2
• Expressing a Complex Number in Trigonometric or Polar Form, Ex 3
• Complex Numbers: Convert From Polar to Complex Form, Ex 1
• Complex Numbers: Multiplying and Dividing in Polar Form, Ex 1
• Complex Numbers: Multiplying and Dividing in Polar Form, Ex 2
• DeMoivre’s Theorem: Raising a Complex Number to a Power, Ex 1
• DeMoivre’s Theorem: Raising a Complex Number to a Power, Ex 2
• Fractions – Adding and Subtracting
• Fractions – Multiplying and Dividing
• Proof By Contradiction – Calculus Based Example
• Absolute Value: Evaluating Numbers
• Negative Exponents – Basic Rules and Examples