Basic Math Elementary Algebra Intermediate Algebra College Algebra
Algebra Supplement Trigonometry Pre Calculus Calculus
Statistics I Statistics II Physics
| Basic Math | Description |
|---|---|
| Whole Numbers: a. Rounding (1.1); b. Adding and Its Properties (1.2); c. Subtraction (1.3); d. Multiplication and Its Properties (1.4); e. Division (1.5); f. Applications (1.2-1.5) | |
| More Operations with Whole Numbers: a. Multiples, Factors, Primes, and Composites (1.7, 2.1); b. Prime Factorization in Exponential Form (1.6, 1.7); c. Greatest Common Factor and Least Common Multiple (2.1); d. Order of Operations (1.6); e. Using Formulas | |
| Fractions: a. Definitions (2.2); b. Finding Equivalent Fractions (2.3); c. Adding and Subtracting Fractions (2.4, 2.5); d. Reducing Fractions to Lowest Terms (2.3); e. Adding Mixed Numbers (2.4); f. Subtracting Mixed Numbers (2.5) | |
| Operations with Fractions: a. Multiplying Fractions (2.6); b. Dividing Fractions (2.7); c. Raising Fractions to a Power (2.8); d. Using Standard Order of Operations (2.8) | |
| Decimals: Part I : a. Place Value (3.1); b. Rounding Decimals (3.1); c. Adding and Subtracting Decimals (3.2, 3.3); d. Multiplying Decimals (3.4); e. Dividing Decimals (3.5) | |
| Decimals: Part II : a. Using Decimals in Word Problems (3.2-3.5); b. Problems Involving Circles; c. Problems Involving Statistical Measures (7.4) | |
| Ratio and Proportion : a. Ratios and Rates (4.1, 4.2); b. Solving Proportions (4.3); c. Systems of Measurement (9.5) | |
| Problem Solving I : a. Using Proportions to Solve Problems (4.3); b. Using Geometric Formulas to Solve Problems | |
| Percent : a. Percent, Decimal, and Fraction equivalent (3.6, 5.1); b. Solving Percent Problems Using Equations (5.2-5.4); c. Solving Percent Problems Using Proportions (5.5); d. Applications (5.2-5.5) | |
| Solving Problems Involving Percents : a. Writing Percent Equations (5.2-5.4, 6.2); b. Interpreting Venn Diagrams; c. Using Geometric Formulas; d. Using Tables and Graphs (7.1) | |
| Applications for Business and Consumers : a. Percent Increases and Decreases (6.2); b. Discount Problems (6.2); c. Simple and Compound Interest (6.3) | |
| Metric and U.S. Systems of Measurement : a. U.S. Customary System of Measurement (8.1-8.3); b. Metric System of Measurement (9.1-9.3); c. Conversion Between U.S. and Metric Systems (9.5) | |
| Integers: a. Intro to Integers (10.1); b. Add with Integers (10.2); c. Subtract with Integers (10.2); d. Multiply and Divide with Integers and Order of Operations (10.3, 10.5); e. Applications (10.2-10.4); f. Combining Like Terms and Evaluating Polynomial | |
| Rational Numbers : a. Definitions (10.1); b. Adding and Subtracting Rational Numbers (10.4); c. Multiplying and Dividing Rational Numbers (10.4) | |
| Operations with Rational Numbers : a. Word Problems Using Rational Numbers (7.4, 10.4); b. Exponents; c. Standard Order of Operations (10.5) | |
| Algebraic Expressions : a. Definitions (11.1); b. Evaluating Algebraic Expressions (11.1); c. Combining Like Terms (11.1) | |
| Solving Linear Equations : a. Solving Simple Linear Equation (11.2); b. Solving Linear Equations with Two Operations (11.3, 11.4); c. Solving More Difficult Linear Equations (11.4) | |
| Problem Solving II : a. Translating Between English and Algebra (11.5); b. Using Four-Step Problem Solving Procedure | |
| Solving Word Problems that Involve Linear Equations : a. English Sentences to Algebraic Equations (11.6); b. Number Problems (11.6); c. Consecutive Integer Problems; d. Practical Application (11.6); e. Geometry Problem | |
| Geometry : a. Angles (12.1); b. Triangles (12.2, 12.5); c. Perimeter and Circumference (12.2); d. Area (12.3); e. Volume (12.4) | |
| Calculus | Description |
| Calculus - Semester 1 - Volume 1: Limits and their properties | |
| Calculus - Semester 1 - Volume 2: Differentiation, Part 1 Derivatives and Tangent Lines; Velocity and Other Rates of Change; Differentiation Rules for Sums, Products, Quotients, Powers and Trigonometric Functions | |
| Calculus - Semester 1 - Volume 3: Differentiation, Part 2: The Chain Rule; Implicit Differentiation; Related Rates | |
| Calculus - Semester 1 - Volume 4: Applications of Differentiation, Part 1: Extrema on an Interval; Rolle's Theorem and the Mean Value Theorem | |
| Calculus - Semester 1 - Volume 5: Applications of Differentiation, Part 2: Increasing and Decreasing Functions and the First Derivative Test; Concavity and the Second Derivative Test | |
| Calculus - Semester 1 - Volume 6: Applications of Differentiation, Part 3: Limits at Infinity; a Summary of Curve Sketching: Optimization Problems: Differentials | |
| Calculus - Semester 2 - Volume 7: Integration, Part 1: Antiderivatives and Indefinite Integration; Area; Reimann Sums and the Definite Integral | |
| Calculus - Semester 2 - Volume 8: Integration, Part 2: The Fundamental Theorem of Integral Calculus and Integration by Substitution | |
| Calculus - Semester 2 - Volume 9: Logarithmic and Exponential Functions: The Natural Logarithm Function; Inverse Functions; Exponential Functions; Applications | |
| Calculus - Semester 2 - Volume 10: Other Transcendental Functions: Inverse Trigonometric Functions - Differentiation, Integration, and Completing the Square; Hyperbolic Functions | |
| Calculus - Semester 2 - Volume 11: Applications of Integration: Area; Volumes; Arc Length; Surfaces of Revolution; Work | |
| Calculus - Semester 2 - Volume 12: Integration Techniques: Basic Integration Formulas; Integration by Parts; Trigonometric Integrals and Trigonometric Substitution | |
| Calculus - Semester 2 - Volume 13: More Integration Techniques, L'Hopital's Rule: Partial Fractions; Integrations by Tables; Indeterminate Forms and L'Hopital's Rule; Improper Integrals | |
| Pre Calculus | Description |
| College Algebra, Fourth Edition: Chapter P Prerequisites, Part 1: P.1 Real Numbers; P.2 Exponents and Radicals | |
| College Algebra, Fourth Edition: Chapter P Prerequisites, Part 2: P.3 Polynomials & Special Products; P.4 Factoring; P.5 Fractional Expressions | |
| College Algebra, Fourth Edition: Chapter P Prerequisites, Part 3: P.6 Errors & the Algebra of Calculus; P.7 Graphical Representation of Data | |
| Chapter 1, Part 1: 1.1 Graphs & Graphing Utilities; 1.2 Lines in the Plane and Slope; 1.3 Functions | |
| Chapter 1, Part 2: 1.4 Analyzing Graphs of functions; 1.5 Translations & Combinations; 1.6 Inverse Functions; 1.7 Mathematical Molding | |
| Chapter 2, Part 1: 2.1 Quadratic Functions; 2.2 Polynomial Functions of Higher Degree; 2.3 Polynomial & Synthetic Division; 2.4 Real Zeros of Polynomial Functions | |
| Chapter 2, Part 2: 2.5 Complex Numbers; 2.6 The Fundamental Theorem of Algebra; 2.7 Rational Functions; 2.8 Partial Fractions | |
| Chapter 3, Part 1: 3.1 Exponential Functions & their Graphs; 3.2 Logarithmic Functions & their Graphs; 3.3 Properties of Logarithms | |
| Chapter 3, Part 2: 3.4 Exponential & Logarithm Functions, Part 2; 3.5 Exponential & Logarithmic Models | |
| Chapter 4, Part 1: 4.1 Radian and Degree Measure; 4.2 Trigonometric Functions: The Unit Circle; 4.3 Right Triangle Trigonometry | |
| Chapter 4, Part 2: 4.4 Trigonometric Functions of Any Angle; 4.5 Graphs of Sine and Cosine Functions | |
| Chapter 4, Part 3: 4.6 Graphs of Other Trigonometric Functions; 4.7 Inverse Trigonometric Functions; 4.8 Applications and Models | |
| Chapter 5, Part 1: 5.1 Using Fundamental Identities; 5.2 Verifying Trigonometric Identities; 5.3 Solving Trigonometric Equations | |
| Chapter 5, Part 2: 5.4 Sum & Difference Formulas; 5.5 Multiple-Angle & Product-to-Sum Formulas | |
| Chapter 6, Part 1: 6.1 Law of Sines; 6.2 Law of Cosines; 6.3 Vectors in the Plane | |
| Chapter 6, Part 2: 6.4 Vectors and Dot Products; 6.5 DeMoivre's Theorem | |
| Chapter 7, Part 1: 7.1 Solving Systems of Equations; 7.2 Two - Variable Linear Systems; 7.3 Multivariable Linear Systems; 7.4 Systems of Inequalities; 7.5 Linear Programming | |
| Chapter 8, Part 1: 8.1 Matrices & Systems of Equations; 8.2 Operations with Matrices | |
| Chapter 8, Part 2: 8.3 The Inverse of a Square Matrix; 8.4 The Determinant of a Square Matrix; 8.5 Applications of Matrices and Determinants | |
| Chapter 9, Part 1: 9.1 Sequences & Summation Notation; 9.2 Arithmetic Sequences; 9.3 Geometric Sequences | |
| Chapter 9, Part 2: 9.4 Mathematical Induction; 9.5 The Binomial Theorem; 9.6 Counting Principles; 9.7 Probability | |
| Chapter 10, Part 1: Topics in Analytic Geometry: 10.1 Lines; 10.2 Introduction to Conics (Parabolas); 10.3 Ellipses | |
| Chapter 10, Part 2: Topics in Analytic Geometry: 10.4 Hyperbolas; 10.5 Rotation of Conics | |
| Chapter 10, Part 3: Topics in Analytic Geometry: 10.6 Parametric Equations; 10.7 Polar Coordinates; 10.8 Graphs of Polar Equations; 10.9 Polar Equations of Conics | |
| Elementary Algebra | Description |
| Chapter 1 The Basics | |
| Chapter 2 Linear Equations and Inequalities in One Variable | |
| Chapter 3 Linear Equations and Inequalities in Two Variables | |
| Chapter 4 Systems of Linear Equations | |
| Chapter 5 Exponents and Polynomials | |
| Chapter 6 Factoring | |
| Chapter 7 Rational Expressions | |
| Chapter 8 Roots and Radicals | |
| Chapter 9 More Quadratic Equations | |
| Intermediate Algebra | Description |
| Chapter 1 Basic Properties and Definitions | |
| Chapter 2 Equations and Inequalities in One Variable | |
| Chapter 3 Equations and Inequalities in Two Variables | |
| Chapter 4 Systems of Linear Equations | |
| Chapter 5 Exponents and Polynomials | |
| Chapter 6 Rational Expressions | |
| Chapter 7 Rational Exponents and Roots | |
| Chapter 8 Quadratic Functions | |
| Chapter 9 Exponential and Logarithmic Functions | |
| Chapter 10 Sequences and Series | |
| Chapter 11 Conic Sections | |
| Statistics I | Description |
| Program 6 & 7 For all practical purposes: Overview 1/1 | |
| Program 8 & 9 For all practical purposes: Picture This 2/2 | |
| Program 10 For all practical purposes: Sampling Distribution 2/2 | |
| Program 11 & 12 For all practical purposes: Overview | |
| Program 13 & 14 For all practical purposes: More Equal Than Others 2/2 | |
| Program 15 For all practical purposes: The Prisoner's Dilemma 2/2 | |
| Statistics II | Description |
| Volume 1 Basic Data Analysis: Unit 1 What is Statistics?; Unit 2 Stemplots; Unit 3 Histograms and Distribution; Unit 4 Measures of Center; Unit 5 Boxplots; Unit 6 The Standard Deviation | |
| Volume 2 Data Analysis for One Variable: Unit 7 Normal Curves; Unit 8 Normal Calculations; Unit 9 Straight-Line Growth; Unit 10 Exponential Growth | |
| Volume 3 Data Analysis for Two Variables: Unit 11 Scatterplots; Unit 12 Fitting Lines to Data; Unit 13 Correlation; Unit 14 Save the Bay | |
| Volume 4 Planning Data Collection: Unit 15 Designing Experiments; Unit 16 The Question of Causation; Unit 17 Census and Sampling; Unit 18 Sample Surveys | |
| Volume 5 Introduction to Inference: Unit 19 Sampling Distributions; Unit 20 Confidence Intervals; Unit 21 Tests of Significance | |
| College Algebra | Description |
| Chapter 1 Equations and Inequalities, Part 1: 1.1 Graphs and Graphing Utilities; 1.2 Linear Equations; 1.3 Modeling with Linear Equations | |
| Chapter 1 Equations and Inequalities, Part 2: 1.4 Quadratic Equations and Applications; 1.5 Complex Numbers; 1.6 Other Types of Equations; 1.7 Linear Inequalities; 1.8 Other Types of Inequalities | |
| Chapter 2 Functions and Their Graphs, Part 1: 2.1 Lines in the Plane and Slope; 2.2 Functions; 2.3 Analyzing Graphs of Functions | |
| Chapter 2 Functions and Their Graphs, Part 2: 2.4 Translations and Combinations; 2.5 Inverse Functions | |
| Chapter 3 Zeros of Polynomial Functions, Part 1: 3.1 Quadratic Functions; 3.2 Polynomial Functions of Higher Degree; 3.3 Polynomial and Synthetic Division; 3.4 Real Zeros of Polynomial Functions | |
| Chapter 3 Zeros of Polynomial Functions, Part 2: 3.5 The Fundamental Theorem of Algebra; 3.6 Mathematical Modeling | |
| Chapter 4 Rational Functions and Conics, Part 1: 4.1 Rational Functions and Asymptotes; 4.2 Graphs of Rational Functions; 4.3 Partial Fractions | |
| Chapter 4 Rational Functions and Conics, Part 2: 4.4 Conics; 4.5 Translations of Conics | |
| Chapter 5 Exponential and Logarithmic Functions, Part 1: 5.1 Exponential Functions and their Graphs; 5.2 Logarithmic Functions and their Graphs; 5.3 Properties of Logarithms | |
| Chapter 5 Exponential and Logarithmic Functions, Part 2: 5.4 Exponential and Logarithmic Equations; 5.5 Exponential and Logarithmic Models | |
| Chapter 6 Systems of Equations and Inequalities, Part 1: 6.1 Solving Systems of Equations; 6.2 Two-Variable Linear Systems; 6.3 Multivariable Linear Systems; 6.4 Systems of Inequalities; 6.5 Linear Programming | |
| Chapter 7 Matrices and Determinants, Part 1: 7.1 Matrices and Systems of Equations; 7.2 Operations with Matrices | |
| Chapter 7 Matrices and Determinants, Part 2: 7.3 The Inverse of a Square Matrix; 7.4 The Determinant of a Square Matrix; 7.5 Applications of Matrices and Determinants | |
| Chapter 8 Sequences and Probability, Part 1: 8.1 Sequences and Summation Notation; 8.2 Arithmetic Sequences; 8.3 Geometric Sequences | |
| Chapter 8 Sequences and Probability, Part 2: 8.4 Mathematical Induction; 8.5 The Binomial Theorem; 8.6 Counting Principles; 8.7 Probability | |
| Trigonometry | Description |
| Segment 5001 & 5002: 1 Angles, Degrees & Radians; 2 Introduction to Trigonometric Functions | |
| Segment 5003 & 5004: 3 Trigonometric Functions of General Angles; 4 Evaluating Trigonometric Functions | |
| Segment 5005 & 5006: 5 Graphing Trigonometric Functions I; 6 Graphing Trigonometric Functions II | |
| Segment 5007 & 5008: 7 Trigonometric Identities I; 8 Trigonometric Identities II | |
| Segment 5009 & 5010: 9 Trigonometric Identities III; 10 Inverse Trigonometric Functions | |
| Segment 5011 & 5012: 11 Trigonometric Equations; 12 Right Triangle Applications | |
| Segment 5013 & 5014: 13 Law of Sines; 14 Law of Cosines | |
| Segment 5015 & 5016: 15 Polar Coordinates; 16 Trigonometric Form, DeMoivre's Theorem & Nth Roots of Complex Numbers | |
| Physics | Description |
| The Mechanical Universe Program 101: Introduction to the Mechanical Universe | |
| Law of Falling Bodies Program 102 | |
| Vectors Program 1.5 | |
| The Apple and the Moon Program 108 | |
| Moving in Circles Program 109 | |
| Gravity, Electricity, Magnetism Program 111 | |
| Millikan Experiment Program 112 | |
| Potential Energy Program 114 | |
| Conservation of Momentum Program 115 | |
| Harmonic Motion Program 116 | |
| Angular Momentum Program 119 | |
| The Kepler Problem Program 122 | |
| Algebra Supplement | Description |
| Video Tutorial Series for Intermediate Algebra 4: Chapter 12 Part 1: 12.1 The Binomial Theorem; 12.2 The nth Term of a Binomial Expansion; 12.3 Arithmetic Sequences | |
| Video Tutorial Series for Intermediate Algebra 4: Chapter 12 Part 1: 12.1 The Binomial Theorem; 12.2 The nth Term of a Binomial Expansion; 12.3 Arithmetic Sequences | |
| Video Tutorial Series for Intermediate Algebra 4: Chapter 12 Part 1: 12.1 The Binomial Theorem; 12.2 The nth Term of a Binomial Expansion; 12.3 Arithmetic Sequences | |
| Video Tutorial Series for Intermediate Algebra 4: Chapter 12, Part 2: 12.4 Geometric Sequences; 12.5 Infinite Geometric Sequences; 12.6 Permutations & Combinations | |
| Video Tutorial Series for Intermediate Algebra 4: Chapter 12, Part 2: 12.4 Geometric Sequences; 12.5 Infinite Geometric Sequences; 12.6 Permutations & Combinations | |
| Video Tutorial Series for Intermediate Algebra 4th Edition: Chapter 9 Systems of Equations & Inequalities, Part 2: 9.4 Determinants; 9.5 Matrices; 9.6 Systems of Inequalities | |
| Video Tutorial Series for Intermediate Algebra 4, Chapter 11 Exponential and Logarithmic Functions, Part 1: 11.1 Exponential Functions; 11.2 Logarithmic Functions; 11.3 Properties of Logarithms | |
| Video Tutorial Series for Intermediate Algebra 4, Chapter 11 Exponential and Logarithmic Functions, Part 2: 11.4 Applications of Logarithms; 11.5 Exponential & Logarithmic Equations | |
| Tutorial Series for Intermediate Algebra, 4th Edition: Chapter 3, Part 2: 3.5 Absolute Value Equations; 3.6 Linear Inequalities; 3.7 Inequalities with Absolute Value | |
| Tutorial Series for Intermediate Algebra, 4th Edition: Chapter 3, Part 2: 3.5 Absolute Value Equations; 3.6 Linear Inequalities; 3.7 Inequalities with Absolute Value | |
| Tutorial Series for Intermediate Algebra, 4th Edition: Chapter 3, Part 2: 3.5 Absolute Value Equations; 3.6 Linear Inequalities; 3.7 Inequalities with Absolute Value | |
| Video Tutorial Series for Intermediate Algebra 4th Edition: Chapter 9 Systems of Equations & Inequalities, Part 2: 9.4 Determinants; 9.5 Matrices; 9.6 Systems of Inequalities | |
| Video Tutorial Series for Intermediate Algebra 4: Chapter 12, Part 2: 12.4 Geometric Sequences; 12.5 Infinite Geometric Sequences; 12.6 Permutations & Combinations |