Pre-Calculus Videos
Chapter 1 - Fundamentals
Lesson 1.1 Video - Exponets and Polynomial Operations
Lesson 1.2 Video - Factoring Polynomials
Lesson 1.3 Video - Rational Expressions
Lesson 1.4 Video -Radicals and Rational Exponents
Lesson 1.5 Video - Complex Numbers
Lesson 1.6 Video - Linear Equations & Absolute Value Equations
Lesson 1.7 Video - Quadratic Equations
Lesson 1.8 Video - Radical Equations
Chapter 2 - Functions and Their Graphs
Lesson 2.1(a) Video - Functions Review
Lesson 2.1(b) Video - Functions Review
Lesson 2.2(a) Video - Intercepts, Zeros, Critical Points, Increasing and Decreasing Intervals
Lesson 2.2(b) Video - Intercepts, Zeros, Critical Points, Increasing and Decreasing Intervals
Lesson 2.3 Video: Continuity: End Behavior
Lesson 2.4 Video: Test for Symmetry: Even and Odd Functions
Lesson 2.5 Video - Average Rate of Change
Lesson 2.6(a) Video - Parent Functions & Transformations
Lesson 2.6(b) Video - Parent Functions & Transformations
Lesson 2.6(c) Video - Parent Functions & Transformations
Lesson 2.7 Video - Graphing Functions
Lesson 2.8 Video - Piecewise Functions
Lesson 2.9(a) Video - Function Operations & Compositions of Functions
Lesson 2.9(b) Video - Function Operations & Compositions of Functions
Chapter 3 - Polynomial and Rational Functions
Lesson 3.1(a) (Video) - Graphing Power Functions
Lesson 3.1(b) (Video) - Graphing Power Functions
Lesson 3.2 Video - Graphing Power Functions with Rational Exponets
Lesson 3.3(a) Video - Graphing Polynomial Fucntions
Lesson 3.3(b) Video - Graphing Polynomial Fucntions
Lesson 3.4 Video - Zeros of Polynomials, Linear Factors, and Multiplicity
Lesson 3.5(a) Video - Dividing Polynomials
Lesson 3.5(b) Video - Dividing Polynomials
Lesson 3.5(c) Video - Dividing Polynomials
Lesson 3.6(a) Video - Remainder and Factor Theorems
Lesson 3.6(b) Video - Remainder and Factor Theorems
Lesson 3.7 Video - Rational Zero Theorem, Find Rational Zeros
Lesson 3.8(a) Video - Irrational Zeros, Descartes Rule of Signs
Lesson 3.8(b) Video - Irrational Zeros, Descartes Rule of Signs
Lesson 3.9(a) Video - Complex Zeros, Fundamental Theorem of Algebra
Lesson 3.9(b) Video - Complex Zeros, Fundamental Theorem of Algebra
Lesson 3.10 Video - Using Zeros to Write Polynomial Functions
Lesson 3.11 Video - Graphing Rotational Functions
Lesson 3.12 Video - Rational Functions with Slant Asymptotes
Lesson 3.13(a) Video - Nonlinear Inequalities, Polynomial Inequalities
Lesson 3.13(b) Video - Nonlinear Inequalities, Polynomial Inequalities
Chapter 4 - Exponential & Logarithmic Functions
Lesson 4.1(a) Video - Graphing Exponential Functions and the Natural Base
Lesson 4.1(b) Video - Transformations of Exponential Functions
Lesson 4.2 Video - Exponential Growth and Decay Application
Lesson 4.3 Video - Compounding & Continouous Interest
Lesson 4.5 Video - Properities of Logarithms
Lesson 4.6 Video - Graphing Logarithms
Lesson 4.7 Video - Solving Exponential Equations
Lesson 4.8 Video - Solving Logarithmic Equations
Lesson 4.9 Video - Solving Exponentials using Logs
Lesson 4.10(a) Video - Review Logarithmic and Exponential Equations
Lesson 4.10(b) Video - Review Logarithmic and Exponential Equations
Chapter 5 - Trigonometric Functions
Lesson 5.1(a) Video - Standard Form of an Angle, Degree vs. Radians
Lesson 5.1(b) Video - Standard Form of an Angle, Degree vs. Radians
Lesson 5.2 Video - Arc Length and Area of Sectors
Lesson 5.3 Video - Circular Motion Linear and Angular Speed
Lesson 5.4 Video - Six Trigonometric Functions
Lesson 5.5(a) Video - Finding Side and Angle Measures
Lesson 5.5(b) Video - Finding Side and Angle Measures
Lesson 5.6(a) Video - Trigonometric Functions for Any Angle
Lesson 5.6(b) Video - Trigonometric Functions for Any Angle
Lesson 5.6(c) Video - Trigonometric Functions for Any Angle
Lesson 5.7(a) Video - Law of Sines
Lesson 5.7(b) Video - Law of Sines
Lesson 5.8 Video - Law of Cosines
Lesson 5.9(a) Video - Mixed Law of Sines & Law of Cosines Area of Triangles
Lesson 5.9(b) Video - Mixed Law of Sines & Law of Cosines Area of Triangles
Lesson 5.10(a) Video - Graphing Sine, Cosine, and Tangent Functions
Lesson 5.10(b) Video - Graphing Sine, Cosine, and Tangent Functions
Lesson 5.11 Video - Translating Sine, Cosine, and Tangent Functions
Lesson 5.12(a) Video - Graphing Reciprocal Functions
Lesson 5.12(b) Video - Graphing Reciprocal Functions
Lesson 5.13 Video - Graphing Trigonometric Functions Review
Lesson 5.14(a) Video - Inverse Trigonometric Functions
Chapter 6 - Trigonometric Identities & Equations
Lesson 6.1 Video - Basic Trigonometric Identities
Lesson 6.2 Video - Simplify and Rewrite Trigonometric Expressions
Lesson 6.3 Video - Proving Trigonometric Identities
Lesson 6.4 Video - Sum and Difference of Angle Identities
Lesson 6.5(a) Video - Double Andlge and Half Angle Identities
Lesson 6.5(b) Video - Double Andlge and Half Angle Identities
Lesson 6.6(a) Video - Product Sum and Power Reducing Identities
Lesson 6.6(b) Video - Product Sum and Power Reducing Identities
Lesson 6.7 Video - Proving Identities
Chapter 7 - Polar and Parametric Equations
Lesson 7.1(a) Video - Polar Coordinates
Lesson 7.1(b) Video - Polar Coordinates
Lesson 7.2(a) Video - Symmetry of Polar Graphs
Lesson 7.2(b) Video - Symmetry of Polar Graphs
Lesson 7.3(a) Video - Classifying & Graphing Classic Polar Curves
Lesson 7.3(b) Video - Classifying & Graphing Classic Polar Curves
Lesson 7.4(a) Video - Converting between Polar & Rectangular Forms
Lesson 7.4(b) Video - Converting between Polar & Rectangular Forms
Lesson 7.5 Video - Polar Forms of Complex Numbers
Lesson 7.6(a) Video - Products, Quotients, Powers (DeMoivre's Theorem) and Roots of Complex Numbers
Lesson 7.6(b) Video - Products, Quotients, Powers (DeMoivre's Theorem) and Roots of Complex Numbers
Lesson 7.7(a) Video - Parametric Equations: Graphing and Writing in Rectangular Form
Lesson 7.7(b) Video - Parametric Equations: Graphing and Writing in Rectangular Form
Lesson 7.8 Video - Modeling with Parametric Equations (Projectile Motion)
Chapter 8 - Vectors
Lesson 8.1(a) Video - Introduction to Vectors (Parts, Naming, Types)
Lesson 8.1(b) Video - Introduction to Vectors (Parts, Naming, Types)
Lesson 8.2(a) Video - Operations with Vectors
Lesson 8.2(b) Video - Operations with Vectors
Lesson 8.3(a) Video - Vector Application; Horizontal and Vertical Componets
Lesson 8.3(b) Video - Vector Application; Horizontal and Vertical Componets
Lesson 8.4 Video - Dot Product
Lesson 8.5(a) Video - Vector Projections
Lesson 8.5(b) Video - Vector Projection Applications: Force and Work
Chapter 9 - Conic Sections
Lesson 9.1 Video - Introduction to Conic Sections; Circles
Lesson 9.2 Video - Ellipses (Day 1 - Graphing)
Lesson 9.3 Video - Ellipses (Day 2 - Writing Equations)
Lesson 9.4 Video - Hyperbolas (Day 1 - Graphing)
Lesson 9.5 Video - Hyperbolas (Day 2 - Writing Equations)
Lesson 9.6 Video - Parabolas (Day 1 - Graphing)
Lesson 9.7 Video - Parabolas (Day 2 - Writing Equations)
Lesson 9.8 Video - Applications of Conic Sections
Lesson 9.9 Video - General Conic Form; Identifying Conic Sections
Lesson 9.10 Video - Polar Equations of Conic Sections (Day 1 - Identifying & Graphing)
Lesson 9.11 Video - Polar Equations of Conic Sections (Day 2 - Writing)
Chapter 10 - Systems of Equations and Matrices
Lesson 10.1 Video - Two-Variable Systems of Equations Review
Lesson 10.2 Video - Nonlinear Systems of Equations
Lesson 10.3(a) Video - Systems of Equations in three Variables
Lesson 10.3(b) Video - Systems of Equations in three Variables
Lesson 10.4 Video - Introduction to Matrices
Lesson 10.5 Video - Multiplying Matrices
Lesson 10.6(a) Video - Determinants and inverse Matrices
Lesson 10.6(b) Video - Determinants and inverse Matrices
Lesson 10.7 Video - Matrices and Graphing Calculator
Lesson 10.8 Video - Solving Systems of Equations with Cramer's Rule
Lesson 10.9 Video - Solving Systems of Equations with Inverse Matrices
Lesson 10.10 Video - Solving Systems with Gaussian Elimination
Lesson 10.11 Video - Solving Systems with Gauss-Jordan Elimination
Lesson 10.12 Video - Partial Fractions (Day 1 - Proper Expressions)
Lesson 10.13 Video - Partial Fractions (Day 2 - Improper Expressions)
Lesson 10.14 Video - Partial Fractions (Day 3 - Special Case Factors)
Chapter 11 - Sequences and Series
Lesson 11.1(a) Video - Explicit and Recursive Sequences
Lesson 11.1(b) Video - Explicit and Recursive Sequences
Lesson 11.2(a) Video - Arithmetic Sequences
Lesson 11.2(b) Video - Arithmetic Sequences
Lesson 11.3(a) Video - Geometric Sequences
Lesson 11.3(b) Video - Geometric Sequences
Lesson 11.4(a) Video - Series & Sigma Notation; Arithmetic Series
Lesson 11.4(b) Video - Series & Sigma Notation; Arithmetic Series
Lesson 11.5 Video - Geometric Series (Finite and Infinite)
Lesson 11.6(a) Video - Arithmetic vs. Geometric Sequences and Series
Lesson 11.6(b) Video - Arithmetic vs. Geometric Sequences and Series
Lesson 11.7(a) Video - Mathematical Induction
Lesson 11.7(b) Video - Mathematical Induction
Lesson 11.8(a) Video - Binomial Expansion: Pascal's Triangle & Binomial Theorem
Lesson 11.8(b) Video - Binomial Expansion: Pascal's Triangle & Binomial Theorem
Chapter 12 - Introduction to Calculus
Lesson 12.1 Video - Limit Notation, Estimating Limits Graphicaaly, Limits that Fail to Exist
Lesson 12.2 Video - One-Sided Limits
Lesson 12.3 Video - Finding Limits Algebraically: Properties of Limits & Direct Substitution
Lesson 12.4 Video - Finidng Limits Algebraically: Factoring & Rationalizing
Lesson 12.5(a) Video - Limits at infinity; Limits of Sequences
Lesson 12.5(b) Video - Limits at infinity; Limits of Sequences
Lesson 12.6 Video - Tangent Lines
Lesson 12.7(a) Video - Derivatives (using limits and rules)
Lesson 12.7(b) Video - More Practice with Finding Derivatives
Lesson 12.8 Video - Application: Average vs Instantaneous Rate of Chance and Velocity