0.1 Place Value System: A Quick Review
0.2 Number Lines, Inequality Symbols, and Rounding Whole Numbers
0.3 Fundamental Operations with Whole Numbers
1.1 Definition of Integers
1.2 Addition and Subtraction with Integers
1.3 Multiplication and Division with Integers
1.4 Exponents; Order of Operations; Evaluating Numerical Expressions
2.1 Translations; Simplifying and Evaluating Expressions; and Computing Averages
2.2 Solving Equation with Integers
2.3 Applications using Integers
2.4 Basic Geometry
3.1 Divisibility Test, Divisors, Multiples, and Factors
3.2 Prime Factors
3.3 Least Common Multiples and Greatest Common Factor
3.4 Rational Numbers: Identifying and Graphing
3.5 Building Equivalent Fractions and Reducing Fractions
3.6 Least Common Denominator, Comparing Fractions
3.7 Introduction to Mixed Numbers
3.8 Translating Expressions, Ratios, Rates, and Percents as Fractions
4.1 Addition and Subtraction with Fractions
4.2 Multiplication and Division with Fractions
4.3 Order of Operations with Fractions
5.1 Equations with Fractions and Proportions
5.2 General Applications of Fractions
5.3 Geometric Applications
6.1 Reading and Writing Decimal Numbers Rounding Decimal Numbers
6.2 Addition and Subtraction with Decimal Numbers
6.3 Multiplication and Division with Decimal Numbers
6.4 Decimals and Fractions
7.1 Solving Equations with Decimal Numbers
7.2 Applications using Decimals
7.3 Square Roots and the Pythagorean Theorem
7.4 Applications to Geometry
8.1 Understanding Percent
8.2 Solving Percent Problems
8.3 Business Applications (I): Markup, Discount, Sales Tax, Profit, Commission and Tipping
8.4 Business Applications (II): Simple Interest and Compound Interest
8.5 Business Applications (III): Buying a Home or a Car
9.1 Mean, Median, Mode and Range
9.2 Variance and Standard Deviation
9.3 Reading Graphs: Bar, Line, Circle, Pictographs
9.4 Constructing Graphs
9.5 Plotting Points, Linear Equations in Two Variables and Graphing Lines
9.6 Probability
10.1 Basic Operations on Measurements in the Same System
10.2 Unit Conversions in the Same System
10.3 Unit conversions between English and Metric System
10.4 Estimating Measurements in the Metric System
11.1 Basic Concepts of Geometry
11.2 Applications of Geometry
0.1 Sistema de Valor Posicional; Repaso Breve
0.2 Recta Numérica, Símbolos de Desigualdad y Redondeo
0.3 Operaciones Fundamentales con Números Cardinales
1.1 Definición de Enteros, Opuesto, Valor Absoluto
1.2 Suma y Resta de Enteros
1.3 Multiplicación y División de Enteros
1.4 Exponentes, Orden de Operaciones y Evaluación de Expresiones
2.1 Simplificación y Evaluación de Expresiones, y Cómputo de Promedios
2.2 Solución de Ecuaciones con Enteros
2.3 Aplicaciones con Enteros
2.4 Geometría Básica
3.1 Pruebas de Divisibilidad, Divisores, Múltiplos y Factores
3.2 Factores Primos
3.3 Mínimo Común Múltiplo y Factor Común Mayor
3.4 Números Racionales: Identificación y Gráfica
3.5 Fracciones Equivalentes y Reducción de Fracciones
3.6 Mínimo Común Denominador y Comparación de Fracciones
3.7 Introducción a Números Mixtos
3.8 Traducción de Expresiones; Razones, Tasas y Porciento como Fracciones
4.1 Suma y Resta con Fracciones
4.2 Multiplicación y División con Fracciones
4.3 Orden de Operaciones con Fracciones
5.1 Ecuaciones con Fracciones y Proporciones
5.2 Aplicaciones Generales con Fracciones
5.3 Aplicaciones de Geometría
6.1 Lectura y Escritura de Números Decimales, Redondeo de Decimales
6.2 Suma y Resta con Números Decimales
6.3 Multiplicación y División con Números Decimales
6.4 Decimales y Fracciones
7.1 Solución de Ecuaciones Lineales con Decimales
7.2 Aplicaciones con Decimales
7.3 Raíces Cuadradas y el Teorema de Pitágoras
7.4 Aplicaciones de Geometría
8.1 Entendiendo Porcientos
8.2 Solución de Problemas de Porciento
8.3 Aplicaciones Comerciales (I)
8.4 Aplicaciones Comerciales (II)
8.5 Aplicaciones Comerciales (III)
9.1 Media, Mediana, Moda y Rango
9.2 Variance and Standard Deviation
9.3 Lectura de Gráficas: Barras, Lineal, Circular y Pictografía
9.4 Construcción de Gráficas de Datos Dados
9.5 Trazado de Puntos, Ecuaciones Lineales en Dos Variables y Gráficas Lineales
9.6 Probability
10.1 Operaciones Básicas con Medidas en el Mismo Sistema
10.2 Conversión de Unidades en el Mismo Sistema
10.3 Conversión de Unidades entre Sistemas Métrico e Inglés
10.4 Estimado de Medidas en el Sistema Métrico
11.1 Conceptos Básicos de Geometría
11.2 Aplicaciones de Geometría
11.3 Fórmula de Distancia
11.4 Fórmula de la Sección
1.1 Review of Integers
1.2 Review of Fractions
1.3 Review of Decimal Numbers and Square Roots
1.4 Review of Percents
1.5 Real Number System
1.6 Translations: Statements To Mathematical Expressions
1.7 Review of Basic Geometry
1.8 Review of Basic Fundamentals
2.1 Simplifying Expressions
2.2 Solving Linear Equations in one variable
2.3 More on Solving Linear Equations
2.4 Applications of Linear Equations
2.5 Literal Equations
2.6 Ratios and Proportions
2.7 More Applications
2.8 Solutions of Linear Inequalities
2.9 Equations and Inequalities with Absolute Values
3.1 Linear Equations in Two Variables
3.2 Graphing Linear Equations in Two Variables
3.3 Slope of a Line
3.4 Equation of a Line
3.5 Graphing Linear Inequalities in 2 variables
3.6 Functions and Relations
4.1 Solving by Graphs
4.2 Solving using Substitution
4.3 Solving using Elimination by Addition
4.4 Solving Systems of Linear Inequalities
4.5 Applications
5.1 Exponents
5.2 Polynomials
5.3 Multiplication of Polynomials
5.4 Special Products
5.5 Integer Exponents
5.6 The Quotient of Two Polynomials
5.7 Scientific Notation
6.1 Factors GCF
6.2 Factoring Trinomials
6.3 Special Factorization
6.4 Solving Quadratic Equations by Factoring
6.5 Applications of Quadratic Equations
7.1 Evaluating Rational Expressions
7.2 Simplifying Rational Expressions
7.3 Multiplying and Dividing Rational Expressions
7.4 Least Common Denominator of Rational Expression
7.5 Adding and Subtracting Rational Expressions
7.6 Complex Fractions
7.7 Equations with Rational Expressions
7.8 Applications
8.1 Finding Roots
8.2 Multiplication and Division of Radicals
8.3 Addition and Subtraction of Radicals
8.4 Rationalizing the Denominators
8.5 Fractional Exponents
8.6 Equations with Radicals
9.1 Square Root Property
9.2 Completing the Square
9.3 The Quadratic formula
9.4 Solving By Graphing
1.1 Repaso de Enteros
1.2 Repaso de Fracciones
1.3 Repaso de Decimales
1.4 Repaso de Porcientos
1.5 Sistema de Números Reales
1.6 Traducción de Enunciados a Expresiones Matemáticas
2.1 Simplificación de Expresiones
2.2 Solución de Ecuaciones Linea...
2.3 Más de Solución de Ecuaciones
2.4 Aplicaciones de Ecuaciones Lineales
2.5 Ecuaciones Literales
2.6 Razones y Proporciones
2.7 Aplicaciones
2.8 Solución de Desigualdades Lineales
2.9 Ecuaciones y Desigualdades con Valor Absoluto
3.1 Ecuaciones Lineales en Dos Variables
3.2 Gráficas de Ecuaciones Lineales en Dos Variables
3.3 Pendiente de una Recta
3.4 Ecuación de una Recta
3.5 Gráficas de Desigualdades Lineales en Dos Variables
3.6 Funciones y Relaciones
4.1 Solución Gráfica
4.2 Solución Por Sustitución
4.3 Solución Por Eliminación por Adición
4.4 Solución de Sistemas de Desigualdades Lineales
4.5 Aplicaciones
5.1 Exponentes
5.2 Polinomios
5.3 Multiplicación de Polinomios
5.4 Productos Especiales
5.5 Exponentes Enteros
5.6 Cociente de dos Polinomios
5.7 Notación Científica
6.1 Factores, Factor Común Mayor (FCM)
6.2 Factorización de Trinomios
6.3 Factorizaciones Especiales
6.4 Solución de Ecuaciones Cuadráticas por Factorización
6.5 Aplicaciones de Ecuaciones Cuadráticas
6.6 Solución de Desigualdades Cuadráticas- To Be Made
7.1 Evaluación de Expresiones Racionales
7.2 Simplificación de Expresiones Racionales
7.3 Multiplicación y División de Expresiones Racionales
7.4 Mínimo Común Denominador de Expresiones Racionales
7.5 Suma y Resta de Expresiones Racionales
7.6 Fracciones Complejas
7.7 Solución de Ecuaciones con Expresiones Raciona...
7.8 Aplicaciones
8.1 Hallando Raíces
8.2 Multiplicación y División de Radicales
8.3 Suma y Resta de Radicales
8.4 Racionalización del Denominador
8.5 Exponentes Fraccionarios
8.6 Solución de Ecuaciones con Radicales
9.1 Propiedad de la Raíz Cuadrada
9.2 Solución Completando el Cuadrado
9.3 Fórmula Cuadrática
9.4 Solución Gráfica
9.5 Números Complejos
1.1 Sets: Basic Terms and Set Notations
1.2 Equalities and Inequalities
1.3 Operations on Real Numbers.
1.4 Properties of Real Numbers.
2.1 Simplifying Expressions
2.2 Linear Equations in One Variable
2.3 Applications of Linear Equations
2.4 Literal Equations
2.5 Ratios and Proportions
2.6 Applications Continued
2.7 Linear Inequalities in One Variable
2.8 Set Operations
2.9 Equations and Inequalities Involving Absolute Values
3.1 Exponents and Scientific Notation
3.2 Polynomials
3.3 Multiplication of Polynomials and Special Products
3.4 The Quotient of Polynomials
3.5 Factoring Polynomials
3.6 Solving Quadratic Equations by Factoring
3.7 Applications of Quadratic Equations
4.1 Simplify, Multiply and Divide Rational Expressions
4.2 Addition and Subtraction of Rational Expressions
4.3 Equations containing Rational Expressions
4.4 Applications of Rational Expressions
5.1 Finding Roots
5.2 Multiplication and Division of Radicals
5.3 Addition and Subtraction of Radicals
5.4 Rational Exponents
5.5 Rationalizing the Denominator
5.6 Equations with Radicals
5.7 Complex Numbers
6.1 Solutions by Completing the Square
6.2 Solutions by using the Quadratic Formula
6.3 Solving Equations Reducible to Quadratic Form and Applications
6.4 Solutions of Quadratic Inequalities
7.1 Linear Equations in Two Variables
7.2 Slope of a Line
7.3 Equation of a Line
7.4 Graphing Linear Inequalities in 2 variables
8.1 System of Linear Equations in Two Variables
8.2 Solving Systems of Linear Inequalities
8.3 System of Linear Equations in More Than Two Variables
8.4 Gauss-Jordan Method of Solving a System of Linear Equations
8.5 Determinants and its use for Solution of the System
9.1 Functions
9.2 Domain and Range of a Function
9.3 Operations on Functions
9.4 Graphical Representation of a Function
10.1 Variation
10.2 Circle
10.3 Parabola
10.4 Ellipse
10.5 Hyperbola
11.1 Inverse Functions
11.2 Exponential Functions and their Graphs
11.3 Performing Conversions between Exponential and Logarithmic Functions
11.4 The properties of logarithmic functions
11.5 Solving Exponential Equations
11.6 Solving Logarithmic Equations
11.7 Growth and Decay Functions (Applications)
12.1 Sequences
12.2 Arithmetic Sequences
12.3 Geometric Sequences
12.4 Arithmetic Series
12.5 Geometric Series
12.6 Pascals Triangle and Binomial Expansion
1.1 Real Number System
1.2 Absolute Value
1.3 Polynomials and Factoring
1.4 Rational Expressions
1.5 Long and Synthetic Division
1.6 Radical Expressions
1.7 Complex Numbers
2.1 Sets - A Review
2.2 Functions
2.3 Domain and Range of a Function
2.4 Graphical Representation of a Function
2.5 Distance And Slope
2.6 Operations on Functions
3.1 Polynomial Equations
3.2 Equations with Rational Expressions
3.3 Absolute Value Equations
3.4 Radical Equations
3.5 Inequalities
3.6 Domain of a Function (Revisited)
3.7 Roots of Polynomial Equations (Revisited)
4.1 Equations of Lines
4.2 Techniques in Graphing and Properties of Functions
4.3 Graphs of Quadratic Functions
4.4 How to Generate Functions in Applications
4.5 Graphs of Polynomial Functions
4.6 Graphs of Rational Functions
5.1 Inverse Functions
5.2 Exponential Functions
5.3 Logarithmic Functions
5.4 Properties of Logarithms
5.5 Exponential and Logarithmic Equations
5.6 Growth and Decay Functions (Applications)
6.1 The Unit Circle and Measurement of Angles
6.2 Circular Functions of Angles
6.3 Evaluating Circular Functions
6.4 Trigonometric Functions of Angles
6.5 Graphs of the Sine and Cosine Functions
6.6 Graphs of other Circular Functions
7.1 Simplifying Expressions in Trigonometric Functions
7.2 Proving Identities in Trigonometric Functions
7.3 Sum and Difference Identities
7.4 Double and Half Angle Identities
7.5 Inverse Trigonometric Functions
7.6 Trigonometric Equations
8.1 The Law of Sines
8.2 The Law of Cosines
8.3 Trigonometric Form for Complex Numbers
8.4 DeMoirves Theorem
8.5 Vectors in Two Dimensions
9.1 Variation
9.2 Circle
9.3 Parabola
9.4 Ellipse
9.5 Hyperbola
10.1 Sequences
10.2 Arithmetic Sequences
10.3 Geometric Sequences
10.4 Arithmetic Series
10.5 Geometric Series
10.6 Pascals Triangle and Binomial Expansion
11.1 Systems of Linear Equations
11.2 Systems of Non-Linear Equations
11.3 Parametric Representations of Relations
11.4 Gauss-Jorden Method
11.5 Matrix Algebra
11.6 Multiplication of Matrices
11.7 Inverse of Matrix
11.8 Determinants
12.1 Graphs of Polar Equations
1.1 Basic Notations
1.2 Function
1.3 Common Functions
1.4 Graph Shifting
1.5 Operations with Functions
1.6 Trigonometric Functions (A brief overview)
2.1 Intuitive Approach
2.2 Limit (Numerical Approach)
2.3 Limit (Graphical Approach)
2.4 Limit (Algebraic Approach)
2.5 Limits as x approaches Infinity
2.6 Formal definition of Limit
2.7 Continuous Functions
2.8 Theorems on Continuous Functions
3.1 Introduction
3.2 Derivative of a Function by definition
3.3 Rules for Derivatives
3.4 Implicit Differentiation
3.5 Strategy for Differentiation
3.6 Linear Approximation and Differentials
3.7 Related Rates
4.1 Introduction
4.2 Mean value and Theorem
4.3 Increasing and Decreasing Functions
4.4 Critical Points
4.5 Local and Absolute Extrema
4.6 Concavity
4.7 Curve Sketching
4.8 Optimization
4.9 Antiderivative
5.1 Approximating Area under a curve and above the x-axis
5.2 Definite Integral
5.3 Theorems of Definite Integral
5.4 Indefinite Integral (Antiderivatives)
5.5 More Rules for Indefinite Integrals
5.6 Strategy for Integration
5.7 The Fundamental Theorem of Calculus
6.1 Area
6.2 Moments and Center of Mass
6.3 Volume of a Solid of Revolution
6.4 Volume by Slicing
6.5 Arc Length
6.6 Area of a Surface of Revolution
6.7 Work
6.8 Hydrostatic Force
7.1 Basic Results
7.2 Derivatives of Logarithmic Function
7.3 Derivative and Antiderivative of Exponential Function
7.4 Re-visit the Power Rule and Trig. Rules
7.5 Derivative and Antiderivative of Inverse Trig. Functions
7.6 Derivative and Antiderivative of Hyperbolic Functions
7.7 Applications
8.1 Integration by Parts
8.2 Integrals of sin^(m)x or cos^(n)x
8.3 Integrals of tan^(n)x or sec^(n)x
8.4 Integration by Trig. Substitution
8.5 Integrals of Rational Functions
8.6 More Substitutions
8.7 Strategy of Integration
8.8 Numerical Integration
9.1 Indeterminate Forms
9.2 Improper Integrals
9.3 Graphs of Polar Equations
9.4 Area in Polar Coordinates
9.5 Parametric Equations
10.1 Sequences
10.2 Infinite Series
10.3 Convergence Tests for Positive Term Series
10.4 Alternating Series and Absolute Convergence
10.5 Power Series
10.6 Taylor and Maclaurin Series
10.7 Calculus of Taylor Series
11.1 Vectors in Two Dimensions
11.2 Vectors in Three Dimensions
11.3 The Dot Product
11.4 The Vector (Cross) Product
11.5 Planes in Space
11.6 Straight Lines in Space
11.7 Surfaces in Space
12.1 Functions of Several Variables
12.2 Partial Derivatives
12.3 Maxima and Minima
13.1 Double Integrals
13.2 Area and Volume by Double Integrals
14.1 Order and Degree of a Differential Equation
14.2 General and Particular Solution of Differential Equation
14.3 Formation of Differential Equations
14.4 Techniques of Solving First-Order and First-Degree Differential Equations
14.5 Homogeneous Differential Equations
14.6 Linear Differential Equations
14.7 Applications of Differential Equations of First-Order and First-Degree
15.1 Circle
15.2 Parabola
15.3 Ellipse
15.4 Hyperbola
1.1 Overview of Statistics
1.2 Statistical Data and Design of Experiments
1.3 Sampling Methods
2.1 Introduction
2.2 Organization of Quantitative Data
2.3 Relative and Cumulative Frequency Distributions and their Histograms
2.4 Graphs of Frequency Tables
2.5 Organizing Data Using Stem and Leaf Plots
2.6 Measures of Central Tendency and Dispersion (Variation)
2.7 Mean, Median and Mode of a Frequency Distribution
2.8 The Empirical Rule and measures of Relative Standing
2.9 5-Number Summary and Box-and-Whisker Plot
2.10 Data Analysis with Microsoft Excel®
2.11 Extended Topics and Proofs in Data Analysis (Optional)
3.1 Introduction
3.2 A brief Review of Set Theory
3.3 Counting Techniques (Combinatorics)
3.4 Introduction to Probability
3.5 Addition Rule
3.6 Multiplication Rule
3.7 Probability with Microsoft Excel
3.8 Extended Topics and Proofs in Probability Theory (Optional)
4.1 Introduction
4.2 Random Variables
4.3 Discrete Probability Distributions
4.4 Mean, Variance and Standard Deviation
4.5 Binomial Distribution
4.6 Poisson Distribution
4.7 Discrete Probability Distributions with Microsoft Excel
4.8 Extended Topics and Proofs in Discrete Probability Distributions (Optional)
5.1 Introduction
5.2 Continuous Distribution
5.3 Normal Distribution
5.4 The Standard Normal Distribution N(0, 1)
5.5 Areas under the Standard Normal Curve
5.6 The Non-Standard Normal Distribution N(μ , σ)
5.7 Normal Approximation to the Binomial Distribution
5.8 Normal Probability Distributions with Microsoft Excel
5.9 Extended Topics and Proofs in Continuous Probability Distributions (Optional)
6.1 Introduction
6.2 Sampling Distribution of the Mean
6.3 Central Limit Theorem and its applications
6.4 Sampling Distribution of the Proportion and its properties
6.5 Estimating the Population Mean μ (σ Known)
6.6 Estimation of the Population Mean μ (σ Unknown)
6.7 Estimation of the Population Proportion p (Large Sample)
6.8 Estimation of the Population Variance and Standard Deviation
6.9 Theory of Estimation with Microsoft Excel
6.10 Extended Topics and Proofs in the Theory of Estimation (Optional)
7.1 Introduction
7.2 Fundamentals of Hypothesis Testing
7.3 Testing a Claim about a Mean μ (σ Known)
7.4 Testing a Claim about a Mean μ (σ Unknown)
7.5 Testing a Claim about a Proportion p
7.6 Testing a claim about Variance and Standard Deviation
7.7 Hypothesis Testing with Microsoft Excel
7.8 Extended Topics and proof in Hypothesis Testing-ONE POPULATION (OPTIONAL)
8.1 Introduction
8.2 Inferences About Two Means Using the Z-Test
8.3 Inferences About Two Means Using the t-Test
8.4 Inferences About Matched Pairs (Dependent Samples)
8.5 Inferences About Two Proportions
8.6 Inferences about Two Variances and Standard Deviations
8.7 Hypothesis Testing with Microsoft Excel
8.8 Extended Topics and Proofs for Inferences from Two Populations
9.1 Introduction
9.2 Chi-Square Test of Goodness of Fit
9.3 Test of Independence
9.4 Test of Homogeneity
9.5 Multinomial Experiments with Microsoft Excel®
9.6 Extended Topics and Proofs for Multinomial Experiments: Chi-Square Tests for Categorical Data (Optional)
10.1 Introduction
10.2 Linear Correlation
10.3 Regression Analysis and Forecasting
10.4 Variation and Prediction Interval
10.5 Correlation and Regression Analysis at a Glance
10.6 Correlation and Regression Analysis with Microsoft Excel
10.7 Extended Topics and Proofs for Correlation and Regression Analysis (Optional)
Test
1.1 Solve linear equations and inequalities
1.2 Ratios and proportion
1.3 Exponential and radical expressions
1.4 Factoring and Solving quadratic equations
1.5 Unit Conversions in the Same System
1.6 Unit conversions between English and Metric System
2.1 Coordinate Plane, Completing tables, Graphing equations
2.2 Slope and Equations of Lines
2.3 Equations of Lines in Different Forms
3.1 Basic terms used in geometry
3.2 Midpoint, Distance Formula and Applications
3.3 Constructing Parallel, Perpendicular and Bisectors
4.1 Types of Angles and Measuring Angles
4.2 Types of Angles, Parallel Lines and Special Angle Pairs
4.3 Transversal and Angle Pairs
4.4 Constructing Angle and Angle Bisector; Constructing Angles: 60°, 30°, 120°, 90°, 45°
5.1 Polygons
5.2 Sum of the Measure of Interior and Exterior An...
5.3 Three Dimensional Figures
6.1 Introduction, Classification of triangles
6.2 Properties of Triangles
6.3 Inequalities in a Triangle
6.4 Pythagoras Theorem
7.1 Perimeter and Area Applications
7.2 Circumference and Area of a Circle; Area of compound shapes
8.1 Surface Area and Volume of a Cuboid and a Cube
8.2 Surface area and Volume of a Right Circular Cylinder and Cone
8.3 Surface Area and Volume of a Sphere and Prism
8.4 Pyramid and Regular Octahedron
9.1 Introduction, congruence of triangles
9.2 Right Triangles and Congruence
10.1 Concept of Similarity
10.2 Basic Proportionality Theorem
10.3 Criteria OR Conditions for Similarity
10.4 Areas of Similar Triangles
10.5 Right-Angled Triangle and Similarity
11.1 Quadrilateral
11.2 Parallelograms and Kites; Sufficient Condition for a Quadrilateral to be a Parallelogram
11.3 Rectangles, Squares and Rhombi
11.4 Trapezoids
12.1 The Trigonometric Functions
12.2 Trigonometric Ratios of Specific Angles
12.3 Trigonometric Ratios of Complementary Angles
12.4 Inverse trigonometric functions
12.5 The Law of Sines and Cosines
13.1 Symmetry, Rotation and Translations
13.2 Reflections and Rotations
13.3 Size Transformation
13.4 Translation, Reflection, Rotation
13.5 Glide Reflection, Enlargement, Composite Transformation
14.1 Angle Subtended by a Chord at a Point
14.2 Angles Subtended by an arc of a Circle
14.3 Cyclic Quadrilaterals
14.4 Tangent to a Circle
15.1 Arcs and Segment of a Circle
15.2 Intersecting Chords and Tangents
15.3 Constructions
16.1 Finding an Equation of a Circle and its graph
16.2 Parabola
16.3 Finding an Equation of the Ellipse
16.4 Finding an Equation of the Hyperbola
17.1 Vectors in Two Dimensions
17.2 The Dot Product
17.3 The Vector (Cross) Product
18.1 Statements
18.2 Truth Tables
1.1 The Real Number System
1.2 Operations on Integers
1.3 Exponents and Rules of Exponents
1.4 Introduction to Fractions
1.5 Operations on Fractions
1.6 Operations on Decimals
1.7 Decimals, Fractions and Types of Decimals
1.8 Solving Linear Equations in one variable
2.1 Introduction to Percents
2.2 Changing Fractions and Decimals to Percents
2.3 The Percent Proportion and the Percent Formula
2.4 Applications of Percents
3.1 Linear Equations in Two Variables
3.2 Graphing Linear Equations in Two Variables;
3.3 Slope of a Line
3.4 Equation of a Line
3.5 System of Linear Equations
3.6 Solution of Linear Systems using Algebraic Method
3.7 Application of Linear Function to Finance: Simple Interest
3.8 Linear Models in Business and Economics
4.1 Algebraic Expressions
4.2 Polynomials
4.3 Product of Polynomials
4.4 Factors GCF
4.5 Factoring Trinomials
4.6 Special Factorization
4.7 Quadratic Functions and Some Applied Examples
4.8 Solving Quadratic Equations
4.9 Graphs of Other Polynomial Functions
5.1 Identifying Rational Functions
5.2 Graphs of Transformation of Functions
5.3 Combining Functions; Reciprocal, Absolute Value, and Piecewise Functions
6.1 Exponential Functions and their Graphs
6.2 The properties of logarithmic functions
6.3 Solving Exponential Equations
6.4 Applications of Exponential and Logarithmic Functions
6.5 Application of Exponential Function to Finance: Compound Interest
7.1 Geometric sequences and Geometric Series
7.2 Annuities
7.3 Present Value of an Annuity and Amortization
8.1 Basic Notations
8.2 Functions
8.3 Basic Functions
8.4 Transformation of graphs of Functions
8.5 Operations with Functions
8.6 Linear Equations and Inequalities in One Variable
8.7 Linear Functions in Two Variables
1.1 Basic Notations
1.2 Function
1.3 Common Functions
1.4 Graph Shifting
1.5 Operations with Functions
1.6 Linear Equations and Inequalities
1.7 Graphs and Lines
2.1 Intuitive Approach
2.2 Limit (Graphical Approach)
2.3 Limit (Algebraic Approach)
2.4 Limits as x approaches Infinity
2.5 Continuous Functions
2.6 Theorems on Continuous Functions
3.1 Rates of Changes
3.2 Rules for Derivatives
3.3 Derivatives of Products and Quotients
3.4 The Chain Rule
3.5 Derivatives of Exponential and Logarithmic Functions
3.6 Marginal Analysis in Business and Economics and Elasticity of Demand
4.1 Increasing and Decreasing Functions
4.2 Critical Points
4.3 Local Extrema
4.4 Second Derivatives and Graphs
4.5 L'Hopital's Rule
4.6 Local and Absolute Extremum
4.7 Optimization
5.1 Antiderivatives and Indefinite Integrals
5.2 Integration By Substitution
6.1 Definite Integral
6.2 Area Between Curves
6.3 Applications of the Definite Integral to Business and Economics
7.1 Functions of Several Variables
7.2 Partial Derivatives
7.3 Maxima and Minima
8.1 Double Integrals
8.2 Area and Volume by Double Integrals
0.1 Business Applications: Simple Interest and Compound Interest
0.2 Business Applications: Buying a Home or a Car
0.3 Slopes of Parallel and Perpendicular Lines
0.4 Linear Functions in Numerical (Table) Form
0.5 Techniques in Graphing and Properties of Functions
1.1 Simplifying Expressions
1.2 Exponents
1.3 Polynomials
1.4 Multiplication of Polynomials
1.5 Integer Exponents
1.6 The Quotient of Two Polynomials
2.1 Sets: Basic Terms and Set Notations
2.2 Set Operations
2.3 Sets and Diagrams
2.4 Permutation and Combination
3.1 Understanding Percent
3.2 Solving Percent Problems
3.3 Business Applications (I): Markup, Discount, Sales Tax, Profit, Commission and Tipping
4.1 Functions
4.2 Domain and Range of a Function
4.3 Graphical Representation of a Function
4.4 Equations of Lines
4.5 Systems of Linear Equations in Two Variables
4.6 Quadratic Functions
4.7 Application of Linear Functions to Business and Economics
4.8 Application of Quadratic Functions to Business and Economics
5.1 Exponential Functions
5.2 The Meaning of Logarithms
5.3 Logarithms
5.4 Solving Exponential Equations
5.5 Solving Logarithmic Equations
5.6 Applications
6.1 Simple Interest and Discount Note
6.2 Compound Interest
6.3 Annuities
6.4 Present Value of an Annuity and Amortization
6.5 Analysis of Financial Formulas
7.1 Systems of Linear Equations in More than Two Variables
7.2 Matrix Algebra
7.3 Determinants
8.1 Solving Systems of Linear Inequalities
8.2 Linear Programming
9.1 Overview of Statistics
9.2 Statistical Data and Design of Experiments
9.3 Sampling Methods
9.4 Frequency Distribution of Quantitative Data
9.5 Frequency Distribution of Qualitative Data
9.6 Alternate Forms of Frequency Distribution
9.7 Frequency Polygons and Curves
9.8 Graphical Presentation of Qualitative Data
10.1 Measures of Central Tendency (Raw Data)
10.2 Measures of Central Tendency (Grouped Data)
10.3 Measures of Variation: Raw Data
10.4 Measures of Variation (Grouped Data)
10.5 Quartiles and Percentiles (Raw Data)
10.6 Quartiles and Percentiles (Grouped Data)
11.1 Introduction to Probability
11.2 Addition Rule
11.3 Multiplication Rule
11.4 Counting Techniques (Combinatorics)
12.1 Discrete Probability Distributions
12.2 Presentation of a Discrete Probability Distribution
12.3 Binomial Distribution
12.4 Graphical Presentation of the Binomial Distribution
12.5 Poisson Distribution
12.6 Other Discrete Probability Distributions
12.7 Continuous Distribution
13.1 Normal Distribution
13.2 Areas under the Standard Normal Curve
13.3 Finding Normal Probability
13.4 Applications of The Normal Distribution
13.5 Normal Approximation to The Binomial Distribution
1.1 Listening Comprehension
2.1 Reading Comprehension
3.A Added New - Sentence Structure
3.B Added New - Subject-verb Agreement
3.1 Kinds of Nouns
3.2 Adjectives
3.3 Adjectives and Adverbs
3.4 Pronouns
3.5 Pronoun Case
3.C Added New - Sentence Punctuation
4.1 Local, National & International Events & Activities
4.2 Local, national, and international time
4.3 National & International Venues
4.4 Food
4.5 Arts
4.6 Clothing
4.7 Colors and Textures
5.1 Nonverbal communication among cultures
5.2 Voice and diction
5.3 Introductions
5.4 Greetings and leave-takings
5.5 Expressions of feelings and emotions
5.6 Personal information
6.1 Contractions; Tag Questions
6.2 Acronyms
6.3 Slangs
6.4 Ellipsis
6.5 Group dynamics
6.6 Speech for an audience
6.7 Dialogues presenting different scenarios
6.8 Oral presentations with different topics
7.1 Countries, their languages, and nationalities
7.2 Asking for and giving directions
7.3 Local and international traditions, customs, and religions
7.4 Feelings and emotions among cultures
7.5 Buying a ticket
7.6 Experiencing touristic sites
7.7 Using mass transportation
8.1 Telephone skills and etiquette
8.2 Schedules, appointments, reservations, cancellations, and rescheduling
8.3 Invitations: making, accepting, and declining
1.1 Reading Strategies
1.2 Critical thinking skills
2.1 The Craft of Writing
2.2 Paragraph Writing
3.1 Information Questions; Phrases and Sentences
3.2 Kinds of Sentences According to Structure
3.3 Sentence Punctuation
3.4 Spelling
3.5 Capitalization
4.1 Listening Comprehension
5.1 The Web Search Process
0.1 Place Value System: A Quick Review
0.2 Number Lines, Inequality Symbols, and Rounding Whole Numbers
0.3 Fundamental Operations with Whole Numbers
1.1 Definition of Integers
1.2 Addition and Subtraction with Integers
1.3 Multiplication and Division with Integers
1.4 Exponents; Order of Operations; Evaluating Numerical Expressions
2.1 Translations; Simplifying and Evaluating Expressions; and Computing Averages
2.2 Solving Equation with Integers
2.3 Applications using Integers
2.4 Basic Geometry
3.1 Divisibility Test, Divisors, Multiples, and Factors
3.2 Prime Factors
3.3 Least Common Multiples and Greatest Common Factor
3.4 Rational Numbers: Identifying and Graphing
3.5 Building Equivalent Fractions and Reducing Fractions
3.6 Least Common Denominator, Comparing Fractions
3.7 Introduction to Mixed Numbers
3.8 Translating Expressions, Ratios, Rates, and Percents as Fractions
4.1 Addition and Subtraction with Fractions
4.2 Multiplication and Division with Fractions
4.3 Order of Operations with Fractions
5.1 Equations with Fractions and Proportions
5.2 General Applications of Fractions
5.3 Geometric Applications
6.1 Reading and Writing Decimal Numbers Rounding Decimal Numbers
6.2 Addition and Subtraction with Decimal Numbers
6.3 Multiplication and Division with Decimal Numbers
6.4 Decimals and Fractions
7.1 Solving Equations with Decimal Numbers
7.2 Applications using Decimals
7.3 Applications to Geometry
8.1 Understanding Percent
8.2 Solving Percent Problems
8.3 Business Applications (I): Markup, Discount, Sales Tax, Profit, Commission and Tipping
8.4 Business Applications (II): Simple Interest and Compound Interest
8.5 Business Applications (III): Buying a Home or a Car
9.1 Mean, Median, Mode and Range
9.2 Variance and Standard Deviation
9.3 Reading Graphs: Bar, Line, Circle, Pictographs
9.4 Constructing Graphs
9.5 Plotting Points, Linear Equations in Two Variables and Graphing Lines
9.6 Data Analysis and Probability
10.1 Basic Operations on Measurements in the Same System
10.2 Unit Conversions in the Same System
10.3 Unit conversions between English and Metric System
10.4 Estimating Measurements in the Metric System
0.1 Integers and Application
0.2 Basic Geometry
0.3 Fraction
0.4 Decimal and Percent
1.1 Real Numbers
2.1 Exponents; Order of Operations; Evaluating Numerical Expressions
2.2 Translations; Simplifying and Evaluating Expressions; and Computing Averages
2.3 Functions and Relations
3.1 Solving Linear Equations in one variable
3.2 Ratios and Proportions
4.1 Linear Equations in Two Variables
4.2 Graphing Linear Equations in Two Variables
5.1 Slope of a Line
5.2 Equation of a Line
6.1 Solutions of Linear Inequalities
6.2 Equations and Inequalities with Absolute Values
6.3 Graphing Linear Inequalities in 2 Variables
7.1 Solving by Graphs
7.2 Solving using Substitution
7.3 Solving using Elimination by Addition and Linear Inequalities
8.1 Exponents
8.2 Integer Exponents
8.3 Exponential Functions
9.1 Polynomials
9.2 Multiplication of Polynomials
9.3 Factoring Trinomials
9.4 Special Factorization
10.1 Solving Quadratic Equations by Factoring
10.2 Square Root Property
10.3 Completing the Square
10.4 The Quadratic Formula and Graphing
0.1 Expressions Equations and Functions
0.2 Solve Linear Equations and Inequalities
0.3 Linear Equations in Two Variables
0.4 Exponents
0.5 Polynomials and Factoring
1.1 Geometry Terminology
1.2 Geometrical Shapes
1.3 Measuring Line Segments
1.4 Types of Angles and Measuring Angles
2.1 Logical Reasoning: A foundation for geometric proofs
2.2 Logical Statements
2.3 Valid Vs. Invalid Arguments
3.1 Types of Angles and Angle Pairs
3.2 Transversal and Angle Pairs
3.3 Parallel Lines and Special Angle Pairs
4.1 Introduction-Terms Related to a Triangle; Classification of Triangles
4.2 Properties of Triangles
4.3 The Mid-Point Theorem; Inequalities in a Triangle
5.1 Congruent Triangles; Criteria for Congruence
5.2 Right Triangles and Congruence
6.1 Ratios and Proportions
6.2 Concept of Similarity
6.3 Basic Proportionality Theorem
6.4 Condition for Similarity
7.1 Polygons
7.2 Quadrilateral; Parallelograms and Kites
7.3 Rectangles, Squares and Rhombi
7.4 Trapezoids
8.1 The Pythagoras Theorem
8.2 Special Right Triangles
8.3 Trigonometric Ratios
8.4 The Law of Sines and Cosines
9.1 Tangent to a Circle
9.2 Number of Tangents to a Circle
9.3 Angle Subtended by a Chord at a Point; Chords of a Circle
9.4 Angles Subtended by an Arc of a Circle
9.5 Circumference and Area of a Circle
9.6 Circles in the Coordinate Plane
10.1 Reflection
10.2 Rotation
10.3 Size Transformation
10.4 Translation
11.1 The Midpoint and Distance Formula
11.2 Slope of a Line; Slopes of Parallel and Perpendicular Lines
11.3 Various Forms of the Equation of a Line
12.1 Basic Constructions
13.1 Perimeter and Area Applications
13.2 Heron`s Formula
13.3 Areas of Sector and Segment of a Circle
14.1 Pyramid and Regular Octahedron
14.2 Surface Area and Volume of a Sphere
14.3 Prism
0.1 Expressions Equations and Functions
0.2 Linear Equations and Inequalities in One Variable
0.3 Linear Equations in Two Variables
0.4 Exponents and Polynomials
1.1 Laws of Exponents
1.2 Finding Roots
1.3 Rational Exponents
1.4 Radical Expressions
1.5 Operations with Radicals
2.1 Polynomials and Operations with Polynomials
2.2 Long and Synthetic Division
3.1 Complex Numbers
3.2 Factoring Trinomials
3.3 Special Factorization
3.4 Solving Quadratic Equations by Factoring
3.5 Square Root Property
3.6 Completing the Square
3.7 The Quadratic Formula and Inequalities
4.1 Functions
4.2 Domain and Range of a Function
4.3 Graphical Representation of a Function
4.4 Operations on Functions
4.5 Techniques in Graphing and Properties of Functions
4.6 Inverse Functions
5.1 Graphs of Quadratic Functions
6.1 Matrix Algebra
6.2 Determinants and Inverse of a Matrix
1.1 Tipos de Ángulos y Medidas de Ángulos
1.2 Tipos de Ángulos y Pares de Ángulos
1.3 El Círculo Unitario, Ángulos y sus Medidas
2.1 Clasificación de Triángulos
2.2 Propiedades de Triángulos
2.3 El Teorema de Pitágoras
2.4 Triángulos Rectángulos Especiales
3.1 Funciones Circulares de Ángulos, Evaluación y sus Signos
3.2 El Ángulo de Referencia y Valores Exactos de Funciones Circulares
3.3 Funciones Trigonométricas
3.4 Aplicaciones de las funciones trigonométricas
4.1 Gráfica de las Funciones Seno y Coseno
4.2 Gráfica de las Funciones Tangente y Cotangente
4.3 Gráfica de las Funciones Cosecante y Secante
5.1 Simplificación de Expresiones Trigonométricas
5.2 Estrategia para Probar una Identidad con Funciones Trigonométricas
5.3 Identidades para Coseno, Seno, Tangente o Suma o Diferencia de Ángulos
5.4 Identidades de Doble Ángulo y Medio Ángulo
6.1 Para Resolver Ecuaciones Trigonométricas en Forma Básica
6.2 Para Resolver una Ecuación con Funciones Trigonométricas
7.1 La Ley de Seno y Coseno
8.1 Función Seno Inverso
8.2 Función Coseno Inverso y Tangente Inversa
1.1 Polinomios
1.2 Exponentes
1.3 Multiplicación de Polinomios
1.4 Productos Especiales
1.5 Exponentes Enteros
1.6 Cociente de dos Polinomios
1.7 Factores, Factor Común Mayor (FCM)
1.8 Factorización de Trinomios
1.9 Factorizaciones Especiales
1.10 Evaluación de Expresiones Racionales
1.11 Multiplicación y División de Expresiones Racionales
1.12 Mínimo Común Denominador de Expresiones Racionales
1.13 Suma y Resta de Expresiones Racionales
1.1 Geometría Básica
1.2 Aplicaciones de Geometría
2.1 Pruebas de Divisibilidad, Divisores, Múltiplos y Factores
2.2 Factores Primos
2.3 Mínimo Común Múltiplo y Factor Común Mayor
3.1 Exponentes
3.2 Exponentes Fraccionarios
4.1 Polinomios
4.2 Multiplicación de Polinomios
4.3 Cociente de dos Polinomios
4.4 Factores, Factor Común Mayor (FCM)
4.5 Factorización de Trinomios
4.6 Factorizaciones Especiales
5.1 Funciones y Relaciones
5.2 Representación Gráfica de una Función
5.3 Gráficas de Ecuaciones Lineales en Dos Variables
5.4 Pendiente de una Recta
5.5 Ecuación de una Recta
6.1 Resumen de Estadística
6.2 Métodos de Muestreo
6.3 Distribución de Frecuencias
6.4 Lectura de Gráficas: Barras, Lineal, Circular y Pictografía
6.5 Construcción de Gráficas de Datos Dados
6.6 Polígonos de Frecuencia
6.7 Media, Mediana, Moda y Rango
6.8 La Regla Empírica y medidas de Posición Relativa
7.1 Introducción a Probabilidad
8.1 Entendiendo Porcientos
8.2 Solución de Problemas de Porciento
8.3 Aplicaciones de Interés Simple y Compuesto
1.1 Narrative Writing: Introduction to Memoirs
1.2 Reading
1.3.A Writing: Transitions
1.3.B Writing: The Craft of Writing
1.3.C Writing: Paragraph Development
1.3.D Writing: Memoir Writing
2.1 Introduction to Personal Narrative
2.2 Parts of the Plot
2.3 Reading Analysis
2.4 Character Development
2.5.A Language: Sentence Structure
2.5.B Language: Coma Splice, Run-Ons
3.1 Elements of Persuasion and Tips on Writing a Persuasive Essay
3.2 Building Solid Arguments
3.3 Research Process
3.4 Speech upon an audience
3.5 Persuasive Essay Writing
4.1 Introduction and Elements
4.2 Point of View in Detective Fiction
4.3 Setting in Detective Fiction
4.4 Reading Comprehension Strategies: Skimming
5.1 Writing
5.2 Elements of Historical Fiction
5.3 Reading Comprehension: Informational Text, Short Story
6.1 Introduction to Poetry
6.2 Elements of Poetry
6.3 Language: Figures of speech – Simile, Metaphor, and Personification
6.4 Styles of Poems
6.5 Writing