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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
