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    College Algebra, Pre-Calculus, & Trigonometry Explained

    BY
    Udemy

    Acquire a deep understanding of the fundamental concepts and principles associated with algebra and trigonometry.

    Brochure Enquire
    Mode

    Online

    Fees

    ₹ 3299

    Quick Facts

    particular details
    Medium of instructions English
    Mode of learning Self study
    Mode of Delivery Video and Text Based

    Course overview

    Algebra and Trigonometry cover a wide range of algebraic concepts and fit the scope and sequence criteria for most basic algebra and trigonometry courses. The course's flexible design and extensive material ensure that it satisfies the needs of a wide range of applications. John Greene - Certified Mathematics & Programming Instructor created the College Algebra & Trigonometry Explained certification course, which is available on Udemy.

    College Algebra, Pre-Calculus, & Trigonometry Explained online course is designed for applicants who want to learn the fundamentals of calculus topics such as trigonometry and algebra at the collegiate level. College Algebra & Trigonometry Explained online classes consist of 121 hours of detailed lectures, 201 articles, and 257 downloadable materials that cover a variety of topics such as polynomials and real numbers, complex numbers, quadratic equations, linear equations, rational equations, radical equations, coordinate plane, parabola, angles, inequalities, absolute value, permutation, combination, probability, and many more.

    The highlights

    • Certificate of completion
    • Self-paced course
    • 121 hours of pre-recorded video content
    • 201 articles
    • 257 downloadable resources

    Program offerings

    • Online course
    • Learning resources. 30-day money-back guarantee
    • Unlimited access
    • Accessible on mobile devices and tv

    Course and certificate fees

    Fees information
    ₹ 3,299
    certificate availability

    Yes

    certificate providing authority

    Udemy

    Who it is for

    Scientist

    What you will learn

    After completing the College Algebra, Pre-Calculus, & Trigonometry Explained online certification, applicants will be introduced to the fundamental theorem of algebra and trigonometry including zeros theorem, binomial theorem, boundedness theorem, counting theorem, intermediate value theorem, factor theorem, remainder theorem, De Moivre’s theorem, the law of sines, the law of cosines, and more. Applicants will explore various aspects of algebra and trigonometry which include real numbers, complex numbers, number lines, polynomials, domain, range, coordinate plane, relations, functions, series, sequences, logarithms, distance, and midpoint. Applicants will learn about matrix, matrix inverses, curve fitting, permutation, combination, inequalities, absolute value, graphs, and parabola. Applicants will also study the order of operations, rational expressions, linear equations, quadratic equations, radical equations, and rational equations.

    The syllabus

    Review of Basic Concepts

    • Welcome to the Course :)
    • Classifying Real Numbers
    • Classifying Real Numbers Study Notes
    • Classifying Real Numbers Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Classifying Real Numbers
    • (Optional) Quiz Step-by-Step Solutions
    • Exponents and the Order of Operations (PEMDAS)
    • Exponents and the Order of Operations Study Notes
    • Exponents and the Order of Operations Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Exponents and the Order of Operations (PEMDAS)
    • (Optional) Quiz Step-by-Step Solutions
    • Ratios, Rates, and Proportions
    • Ratios, Rates, and Proportions Study Notes
    • Ratios, Rates, and Proportions Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Ratios, Rates, and Proportions
    • (Optional) Quiz Step-by-Step Solutions
    • Properties of Real Numbers
    • Properties of Real Numbers Study Notes
    • Properties of Real Numbers Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Properties of Real Numbers
    • (Optional) Quiz Step-by-Step Solutions
    • Classifying Real Numbers, Exponents / PEMDAS, Ratios, Properties of Real Numbers
    • (Optional) Quiz Step-by-Step Solutions
    • Inequalities, the Number Line, and Interval Notation
    • Inequalities, the Number Line, and Interval Notation Study Notes
    • Inequalities, the Number Line, and Interval Notation Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Inequalities, the Number Line, and Interval Notation
    • (Optional) Quiz Step-by-Step Solutions
    • Absolute Value and the Distance Between Two Points on a Number Line
    • Absolute Value and the Distance Between Two Points on a Number Line Study Notes
    • Absolute Value and the Distance Between Two Points Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Absolute Value and the Distance Between Two Points on a Number Line
    • (Optional) Quiz Step-by-Step Solutions
    • Order and Absolute Value
    • (Optional) Quiz Step-by-Step Solutions

    Review of Polynomials

    • The Product and Power Rules for Exponents
    • The Product and Power Rules for Exponents Study Notes
    • The Product and Power Rules for Exponents Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • The Product and Power Rules for Exponents
    • (Optional) Quiz Step-by-Step Solutions
    • What is a Polynomial?
    • What is a Polynomial Study Notes
    • What is a Polynomial Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • What is a Polynomial?
    • (Optional) Quiz Step-by-Step Solutions
    • Adding and Subtracting Polynomials
    • Adding and Subtracting Polynomials Study Notes
    • Adding and Subtracting Polynomials Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Adding and Subtracting Polynomials
    • (Optional) Quiz Step-by-Step Solutions
    • Multiplying Polynomials
    • Multiplying Polynomials Study Notes
    • Multiplying Polynomials Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Multiplying Polynomials
    • (Optional) Quiz Step-by-Step Solutions
    • Special Polynomial Products
    • Special Polynomial Products Study Notes
    • Special Polynomial Products Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Special Polynomial Products
    • (Optional) Quiz Step-by-Step Solutions
    • Dividing Polynomials
    • Dividing Polynomials Study Notes
    • Dividing Polynomials Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Dividing Polynomials
    • (Optional) Quiz Step-by-Step Solutions
    • Synthetic Division
    • Synthetic Division Study Notes
    • Synthetic Division Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Synthetic Division
    • (Optional) Quiz Step-by-Step Solutions
    • Operations with Polynomials (Addition, Subtraction, Multiplication, Division)
    • (Optional) Quiz Step-by-Step Solutions
    • Factoring Out the Greatest Common Factor (GCF)
    • Factoring Out the Greatest Common Factor (GCF) Study Notes
    • Factoring Out the Greatest Common Factor Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Factoring Out the Greatest Common Factor (GCF)
    • (Optional) Quiz Step-by-Step Solutions
    • Factoring by Grouping
    • Factoring by Grouping Study Notes
    • Factoring by Grouping Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Factoring by Grouping
    • (Optional) Quiz Step-by-Step Solutions
    • Factoring Trinomials when the Leading Coefficient is 1
    • Factoring Trinomials when the Leading Coefficient is 1 Study Notes
    • Factoring Trinomials when the Leading Coefficient is 1 Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Factoring Trinomials when the Leading Coefficient is 1
    • (Optional) Quiz Step-by-Step Solutions
    • Factoring Trinomials using the AC Method
    • Factoring Trinomials using the AC Method Study Notes
    • Factoring Trinomials using the AC Method Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Factoring Trinomials using the AC Method
    • (Optional) Quiz Step-by-Step Solutions
    • Factoring Trinomials using Reverse FOIL (Trial and Error)
    • Factoring Trinomials using Reverse FOIL (Trial and Error) Study Notes
    • Factoring Trinomials using Reverse FOIL (Trial and Error) Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Factoring Trinomials using Reverse FOIL
    • (Optional) Quiz Step-by-Step Solutions
    • Special Factoring
    • Special Factoring Study Notes
    • Special Factoring Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Special Factoring
    • (Optional) Quiz Step-by-Step Solutions
    • Factoring by Substitution
    • Factoring by Substitution Study Notes
    • Factoring by Substitution Practice Test
    • (Optional) Practice Test Step-by-Step Solutions
    • Factoring by Substitution
    • (Optional) Quiz Step-by-Step Solutions
    • Factoring Polynomials
    • (Optional) Quiz Step-by-Step Solutions

    Review of Rational Expressions

    • Finding the Restricted Values for a Rational Expression
    • Finding the Restricted Values for a Rational Expression Study Notes
    • Finding the Restricted Values for a Rational Expressions Practice Test
    • Finding the Restricted Values for a Rational Expression
    • Simplifying Rational Expressions
    • Simplifying Rational Expressions Study Notes
    • Simplifying Rational Expressions Practice Test
    • Simplifying Rational Expressions
    • Multiplying and Dividing Rational Expressions
    • Multiplying and Dividing Rational Expressions Study Notes
    • Multiplying and Dividing Rational Expressions Practice Test
    • Multiplying and Dividing Rational Expressions
    • Finding the LCD for Rational Expressions
    • Study Notes for Finding the LCD for Rational Expressions
    • Finding the LCD for Rational Expressions Practice Test
    • Finding the LCD for Rational Expressions
    • Adding and Subtracting Rational Expressions
    • Adding and Subtracting Rational Expressions Study Notes
    • Adding and Subtracting Rational Expressions Practice Test
    • Adding and Subtracting Rational Expressions
    • Complex Rational Expressions
    • Complex Rational Expressions Study Notes
    • Complex Rational Expressions Practice Test
    • Complex Rational Expressions
    • Rational Expressions

    Review of Radical Expressions

    • Negative Exponents and the Quotient Rule
    • Negative Exponents and the Quotient Rule Practice Test
    • Negative Exponents and the Quotient Rule
    • Rational Exponents (Fractional Exponents)
    • Rational Exponents (Fractional Exponents) Practice Test
    • Rational Exponents (Fractional Exponents)
    • Radical Expressions
    • Radical Expressions Practice Test
    • Radical Expressions
    • Simplifying Radical Expressions
    • Simplifying Radical Expressions Practice Test
    • Simplifying Radical Expressions
    • Operations with Radical Expressions (Adding, Subtracting, Multiplying)
    • Operations with Radical Expressions Practice Test
    • Operations with Radical Expressions (Adding, Subtracting, Multiplying)
    • Rationalizing Denominators
    • Rationalizing Denominators Practice Test
    • Rationalizing Denominators
    • Radical Expressions

    Solving Linear Equations and Inequalities in One Variable

    • The Addition Property of Equality
    • The Addition Property of Equality Practice Test
    • The Addition Property of Equality
    • The Multiplication Property of Equality
    • The Multiplication Property of Equality Practice Test
    • The Multiplication Property of Equality
    • Solving Linear Equations in One Variable
    • Solving Linear Equations in One Variable Practice Test
    • Solving Linear Equations in One Variable
    • Solving Linear Equations with Fractions or Decimals
    • Solving Linear Equations with Fractions or Decimals Practice Test
    • Solving Linear Equations with Fractions or Decimals
    • Identifying Types of Equations
    • Identifying Types of Equations Practice Test
    • Identifying Types of Equations
    • Solving Proportion Equations
    • Solving Proportion Equations Practice Test
    • Solving Proportion Equations
    • Solving Literal Equations
    • Solving Literal Equations Practice Test
    • Solving Literal Equations
    • Solving Linear Inequalities in One Variable
    • Solving Linear Inequalities in One Variable Practice Test
    • Solving Linear Inequalities in One Variable
    • Solving a Three-Part Inequality in One Variable
    • Solving a Three-Part Inequality in One Variable Practice Test
    • Solving a Three-Part Inequality in One Variable
    • Solving Compound Inequalities with "and" or "or"
    • Solving Compound Inequalities with "and" or "or" Practice Test
    • Solving Compound Inequalities with "and" or "or"
    • Solving Absolute Value Equations
    • Solving Absolute Value Equations Practice Test
    • Solving Absolute Value Equations
    • Solving Absolute Value Inequalities
    • Solving Absolute Value Inequalities Practice Test
    • Solving Absolute Value Inequalities
    • Section Quiz: Solving Linear Equations and Inequalities in One Variable

    Applications of Linear Equations

    • Translating Phrases into Algebraic Expressions and Equations
    • Translating Phrases into Algebraic Expressions and Equations Practice Test
    • Translating Phrases into Algebraic Expressions and Equations
    • Consecutive Integer Word Problems
    • Consecutive Integer Word Problems Practice Test
    • Consecutive Integer Word Problems
    • Age Word Problems
    • Age Word Problems Practice Test
    • Age Word Problems
    • Motion Word Problems
    • Motion Word Problems Practice Test
    • Motion Word Problems
    • Mixture Word Problems
    • Mixture Word Problems Practice Test
    • Mixture Word Problems
    • Money Word Problems
    • Money Word Problems Practice Test
    • Money Word Problems
    • Simple Interest Word Problems
    • Simple Interest Word Problems Practice Test
    • Simple Interest Word Problems
    • Percent Word Problems
    • Percent Word Problems Practice Test
    • Percent Word Problems
    • Section Quiz: Applications of Linear Equations

    Solving Quadratic Equations and Inequalities

    • The Imaginary Unit i
    • The Imaginary Unit i Practice Test
    • The Imaginary Unit i
    • Operations with Complex Numbers (Adding, Subtracting, Multiplying, Dividing)
    • Operations with Complex Numbers Practice Test
    • Operations with Complex Numbers (Adding, Subtracting, Multiplying, Dividing)
    • Simplifying Powers of i
    • Simplifying Powers of i Practice Test
    • Simplifying Powers of i
    • Solving Quadratic Equations by Factoring
    • Solving Quadratic Equations by Factoring Practice Test
    • Solving Quadratic Equations by Factoring
    • The Square Root Property
    • The Square Root Property Practice Test
    • The Square Root Property
    • Completing the Square
    • Completing the Square Practice Test
    • Completing the Square
    • The Quadratic Formula
    • The Quadratic Formula Practice Test
    • The Quadratic Formula
    • Quadratic in Form
    • Quadratic in Form Practice Test
    • Quadratic in Form
    • Applications of Quadratic Equations
    • Applications of Quadratic Equations Practice Test
    • Applications of Quadratic Equations
    • Solving Quadratic Inequalities
    • Solving Quadratic Inequalities Practice Test
    • Solving Quadratic Inequalities
    • Section Quiz: Solving Quadratic Equations and Inequalities

    Solving Radical Equations and Rational Equations / Inequalities

    • Solving Radical Equations I
    • Solving Radical Equations I Practice Test
    • Solving Radical Equations I
    • Solving Radical Equations II
    • Solving Radical Equations II Practice Test
    • Solving Radical Equations II
    • Solving Radical Inequalities I
    • Solving Radical Inequalities I Practice Test
    • Solving Radical Inequalities I
    • Solving Radical Inequalities II
    • Solving Radical Inequalities II Practice Test
    • Solving Radical Inequalities II Bonus Practice Test
    • Solving Radical Inequalities II
    • Solving Rational Equations
    • Solving Rational Equations Practice Test
    • Solving Rational Equations
    • Solving Rational Inequalities
    • Solving Rational Inequalities Practice Test
    • Solving Rational Inequalities
    • Applications of Rational Equations
    • Applications of Rational Equations Practice Test
    • Applications of Rational Equations
    • Section Quiz: Solving Radical Equations, Rational Equations, and Inequalities

    More Advanced Absolute Value Equations/Inequalities

    • Absolute Value Equations II
    • Absolute Value Equations II Practice Test
    • Absolute Value Equations II
    • Absolute Value Equations III
    • Absolute Value Equations III Practice Test
    • Absolute Value Equations III
    • Absolute Value Inequalities II
    • Absolute Value Inequalities II Practice Test
    • Absolute Value Inequalities II
    • Section Quiz: Solving More Advanced Absolute Value Equations/Inequalities

    Graphs and Functions

    • The Rectangular Coordinate System
    • The Rectangular Coordinate System Practice Test
    • The Rectangular Coordinate System
    • Distance between Two Points (Distance Formula)
    • Distance between Two Points (Distance Formula) Practice Test
    • Distance between Two Points (Distance Formula)
    • Determining Whether Three Points are the Vertices of a Right Triangle
    • Determining Whether Three Points are the Vertices of a Right Triangle P.T.
    • Determining Whether Three Points are the Vertices of a Right Triangle
    • Determining Whether Three Points are Collinear
    • Determining Whether Three Points are Collinear Practice Test
    • Determining Whether Three Points are Collinear
    • The Midpoint Formula
    • The Midpoint Formula Practice Test
    • The Midpoint Formula
    • Plotting Complex Numbers
    • Plotting Complex Numbers Practice Test
    • Plotting Complex Numbers
    • Absolute Value of a Complex Number
    • Absolute Value of a Complex Number Practice Test
    • Absolute Value of a Complex Number
    • Distance and Midpoint Formulas in the Complex Plane
    • Distance and Midpoint Formulas in the Complex Plane Practice Test
    • Distance and Midpoint Formulas in the Complex Plane
    • Graphing Circles
    • Graphing Circles Practice Test
    • Graphing Circles
    • Section Quiz: Graphs and Functions I
    • Relations and Functions
    • Relations and Functions Practice Test
    • Relations and Functions
    • Domain and Range
    • Domain and Range Practice Test
    • Domain and Range
    • Vertical Line Test
    • Vertical Line Test Practice Test
    • Vertical Line Test
    • Function Notation
    • Function Notation Practice Test
    • FunctionNotation
    • Graphing Linear Functions
    • Graphing Linear Functions Practice Test
    • Graphing Linear Functions
    • Finding the Slope of a Line
    • Finding the Slope of a Line Practice Test
    • Finding the Slope of a Line
    • Equations of Lines
    • Equations of Lines Practice Test
    • Equations of Lines
    • Parallel and Perpendicular Lines
    • Parallel and Perpendicular Lines Practice Test
    • Parallel and Perpendicular Lines
    • Section Quiz: Graphs and Functions II
    • Graphs of Basic Functions
    • Graphs of Basic Functions Practice Test
    • Graphs of Basic Functions
    • Piecewise Functions
    • Piecewise Functions Practice Test
    • Piecewise Functions
    • Increasing, Decreasing, and Constant Functions
    • Increasing, Decreasing, and Constant Functions Practice Test
    • Increasing, Decreasing, and Constant Functions
    • Graphing Techniques: Shrinking and Stretching
    • Graphing Techniques: Shrinking and Stretching Practice Test
    • Graphing Techniques: Shrinking and Stretching
    • Graphing Techniques: Reflecting
    • Graphing Techniques: Reflecting
    • Graphing Techniques: Reflecting
    • Even and Odd Functions
    • Even and Odd Functions Practice Test
    • Even and Odd Functions
    • Graphing Techniques: Translations (Horizontal and Vertical Shifts)
    • Graphing Techniques: Translations (Horizontal and Vertical Shifts) Practice Test
    • Graphing Techniques: Translations (Horizontal and Vertical Shifts)
    • Operations on Functions
    • Operations on Functions Practice Test
    • Operations on Functions
    • The Difference Quotient
    • The Difference Quotient Practice Test
    • The Difference Quotient
    • Composition of Functions
    • Composition of Functions Practice Test
    • Composition of Functions
    • Section Quiz: Graphs and Functions III

    Polynomial Functions

    • Finding the Vertex Form of a Parabola
    • Finding the Vertex Form of a Parabola Practice Test
    • Finding the Vertex Form of a Parabola
    • Graphing Parabolas
    • Graphing Parabolas Practice Test
    • Graphing Parabolas
    • The Remainder Theorem
    • The Remainder Theorem Practice Test
    • The Remainder Theorem
    • The Factor Theorem
    • The Factor Theorem Practice Test
    • The Factor Theorem
    • The Rational Zeros Theorem
    • The Rational Zeros Theorem Practice Test
    • The Rational Zeros Theorem
    • Fundamental Theorem of Algebra / Writing Polynomial Functions
    • Fundamental Theorem of Algebra / Writing Polynomial Functions Practice Test
    • Fundamental Theorem of Algebra / Writing Polynomial Functions
    • Conjugate Zeros Theorem
    • Conjugate Zeros Theorem Practice Test
    • Conjugate Zeros Theorem
    • Descartes' Rule of Signs
    • Descartes' Rule of Signs Practice Test
    • Descartes' Rule of Signs
    • Intermediate Value and Boundedness Theorems
    • Intermediate Value and Boundedness Theorems Practice Test
    • Intermediate Value and Boundedness Theorems
    • Finding the Zeros of a Polynomial Function
    • Finding the Zeros of a Polynomial Function Practice Test
    • Finding the Zeros of a Polynomial Function
    • Section Quiz: Polynomial and Rational Functions

    Inverse Functions, Exponential and Logarithmic Functions

    • One-to-One Functions and the Horizontal Line Test
    • One-to-One Functions and the Horizontal Line Test Practice Test
    • One-to-One Functions and the Horizontal Line Test
    • One-to-One Functions - Algebraic Method
    • One-to-One Functions - Algebraic Method Practice Test
    • One-to-One Functions - Algebraic Method
    • How to Find the Inverse of a One-to-One Function
    • How to Find the Inverse of a One-to-One Function Practice Test
    • How to Find the Inverse of a One-to-One Function
    • How to Determine if Two Functions are Inverses Using Composition
    • How to Determine if Two Functions are Inverses Using Composition Practice Test
    • How to Determine if Two Functions are Inverses Using Composition
    • How to Find the Inverse of a Domain Restricted Function
    • How to Find the Inverse of a Domain Restricted Function Practice Test
    • How to Find the Inverse of a Domain Restricted Function
    • Graphing Exponential Functions
    • Graphing Exponential Functions Practice Test
    • Graphing Exponential Functions
    • How to Solve Exponential Equations with Like Bases
    • How to Solve Exponential Equations with Like Bases Practice Test
    • How to Solve Exponential Equations with Like Bases
    • Compound Interest Word Problems
    • Compound Interest Word Problems Practice Test
    • Compound Interest Word Problems
    • Continuous Compound Interest Word Problems
    • Continuous Compound Interest Word Problems Practice Test
    • Continuous Compound Interest Word Problems
    • Introduction to Logarithms
    • Introduction to Logarithms Practice Test
    • Introduction to Logarithms
    • Properties of Logarithms: Condensing and Expanding
    • Properties of Logarithms: Condensing and Expanding Practice Test
    • Properties of Logarithms: Condensing and Expanding
    • Special Properties of Logarithms | Inverse of Exponential/Logarithmic Function
    • Special Properties of Logarithms Practice Test
    • Special Properties of Logarithms | Inverse of Exponential/Logarithmic Function
    • Change of Base Formula
    • Change of Base Formula Practice Test
    • Change of Base Formula
    • Solving Exponential Equations Using Logarithms
    • Solving Exponential Equations Using Logarithms Practice Test
    • Solving Exponential Equations Using Logarithms
    • Solving Logarithmic Equations
    • Solving Logarithmic Equations Practice Test
    • Solving Logarithmic Equations
    • Section Quiz: Inverse Functions, Exponential Functions, Logarithmic Functions

    Systems of Equations and Matrices

    • Solving Linear Systems in Two Variables
    • Solving Linear Systems in Two Variables Practice Test
    • Solving Linear Systems in Two Variables
    • Solving Linear Systems in Three Variables
    • Solving Linear Systems in Three Variables Practice Test
    • Solving Linear Systems in Three Variables
    • Finding the Equation of a Parabola Given Three Points
    • Finding the Equation of a Parabola Given Three Points Practice Test
    • Finding the Equation of a Parabola Given Three Points
    • Applications of Linear Systems
    • Applications of Linear Systems Practice Test
    • Applications of Linear Systems
    • Partial Fraction Decomposition with Linear Factors
    • Partial Fraction Decomposition with Linear Factors Practice Test
    • Partial Fraction Decomposition with Linear Factors
    • Partial Fraction Decomposition with Quadratic Factors
    • Partial Fraction Decomposition with Quadratic Factors Practice Test
    • Partial Fraction Decomposition with Quadratic Factors
    • Gauss-Jordan Elimination Two-Variable System
    • Gauss-Jordan Elimination Two-Variable System Practice Test
    • Gauss-Jordan Elimination Two-Variable System
    • Gauss-Jordan Elimination Three-Variable System
    • Gauss-Jordan Elimination Three-Variable System Practice Test
    • Gauss-Jordan Elimination Three-Variable System
    • Gauss-Jordan Elimination Four-Variable System
    • Gauss-Jordan Elimination Four-Variable System Practice Test
    • Gauss-Jordan Elimination Four-Variable System
    • Introduction to Matrices
    • Introduction to Matrices Practice Test
    • Introduction to Matrices
    • Adding and Subtracting Matrices
    • Adding and Subtracting Matrices Practice Test
    • Adding and Subtracting Matrices
    • Multiplying a Matrix by a Scalar
    • Multiplying Matrices by a Scalar Practice Test
    • Multiplying a Matrix by a Scalar
    • Multiplying Matrices
    • Multiplying Matrices Practice Test
    • Multiplying Matrices
    • Finding the Inverse of a Matrix
    • Finding the Inverse of a Matrix Practice Test
    • Finding the Inverse of a Matrix
    • Solving Linear Systems using Inverse Matrices
    • Solving Linear Systems using Inverse Matrices Practice Test
    • Solving Linear Systems using Inverse Matrices
    • Finding the Determinant of an n x n Matrix
    • Finding the Determinant of an n x n Matrix Practice Test
    • Finding the Determinant of an n x n Matrix
    • Upper Triangular Form Determinant
    • Upper Triangular Form Determinant Practice Test
    • Upper Triangular Form Determinant
    • Finding the Transpose of a Matrix
    • Finding the Transpose of a Matrix Practice Test
    • Finding the Transpose of a Matrix
    • Finding the Adjoint of a Matrix
    • Finding the Adjoint of a Matrix
    • Finding the Adjoint of a Matrix
    • Finding the Inverse of a Matrix using the Determinant and Adjoint
    • Finding the Inverse of a Matrix using the Determinant and Adjoint Practice Test
    • Finding the Inverse of a Matrix using the Determinant and Adjoint
    • Cramer's Rule 2 x 2 System
    • Cramer's Rule 2 x 2 System Practice Test
    • Cramer's Rule 2 x 2 System
    • Cramer's Rule 3 x 3 System
    • Cramer's Rule 3 x 3 System Practice Test
    • Cramer's Rule 3 x 3 System
    • Determinants - Area of a Triangle
    • Determinants - Area of a Triangle Practice Test
    • Determinants - Area of a Triangle
    • Determinants - Test for Collinearity
    • Determinants - Test for Collinearity Practice Test
    • Determinants - Test for Collinearity
    • Determinants - Equation of a Line
    • Determinants - Equation of a Line Practice Test
    • Determinants - Equation of a Line
    • Section Quiz: Systems of Equations and Matrices

    Conic Sections & Nonlinear Systems

    • Graphing Sideways Parabolas
    • Graphing Sideways Parabolas Practice Test
    • Graphing Sideways Parabolas
    • Conic Sections: The Parabola
    • Conic Sections: The Parabola Practice Test
    • Conic Sections: The Parabola
    • Conic Sections: The Ellipse
    • Conic Sections: The Ellipse Practice Test
    • Conic Sections: The Ellipse
    • Conic Sections: The Hyperbola
    • Conic Sections: The Hyperbola Practice Set
    • Conic Sections: The Hyperbola
    • Solving Nonlinear Systems of Equations
    • Solving Nonlinear Systems of Equations Practice Test
    • Solving Nonlinear Systems of Equations
    • Solving Systems of Linear and Nonlinear Inequalities
    • Solving Systems of Linear and Nonlinear Inequalities Practice Test
    • Solving Systems of Linear and Nonlinear Inequalities
    • Section Quiz: Conic Sections & Nonlinear Systems of Equations

    Sequences and Series

    • Sequences
    • Sequences Practice Test
    • Sequences
    • Series
    • Series Practice Test
    • Series
    • Arithmetic Sequences and Series
    • Arithmetic Sequences and Series Practice Test
    • Arithmetic Sequences and Series
    • Geometric Sequences and Series
    • Geometric Sequences and Series Practice Test
    • Geometric Sequences and Series
    • Section: Quiz: Sequences and Series

    Further Topics in Algebra (Binomial Theorem, Counting Theory, Probability, Sets)

    • The Binomial Theorem
    • The Binomial Theorem Practice Test
    • The Binomial Theorem
    • Counting Theory
    • Counting Theory Practice Test
    • Counting Theory
    • The Basics of Probability
    • The Basics of Probability Practice Test
    • Basics of Probability
    • Sets Part 1
    • Sets Part 1 Practice Test
    • Sets Part 1
    • Sets Part 2
    • Sets Part 2 Practice Test
    • Sets Part 2
    • Section Quiz: Further Topics in Algebra

    Trigonometry Part 1: Trigonometric Functions

    • Angles in Trigonometry
    • Angles in Trigonometry Practice Test
    • Angles in Trigonometry
    • Degrees, Minutes, and Seconds
    • Degrees, Minutes, and Seconds Practice Test
    • Degrees, Minutes, and Seconds
    • Coterminal Angles
    • Coterminal Angles Practice Test
    • Coterminal Angles
    • Angle Relationships and Similar Triangles
    • Angle Relationships and Similar Triangles Practice Test
    • Angle Relationships and Similar Triangles
    • Finding Trigonometric Function Values of an Angle
    • Finding the Trigonometric Function Values of an Angle Practice Test
    • Finding the Trigonometric Function Values of an Angle
    • Reciprocal Identities and finding Missing Trigonometric Function Values
    • Reciprocal Identities and finding Missing Trig Function Values Practice Test
    • Reciprocal Identities and finding Missing Trigonometric Function Values
    • Pythagorean and Quotient Identities
    • Pythagorean and Quotient Identities Practice Test
    • Pythagorean and Quotient Identities
    • Section Quiz: Trigonometric Functions

    Trigonometry Part 2: Acute Angles and Right Triangles

    • Trigonometric Functions of Acute Angles
    • Trigonometric Functions of Acute Angles Practice Test
    • Trigonometric Functions of Acute Angles
    • Trigonometric Functions of Non-Acute Angles
    • Trigonometric Functions of Non-Acute Angles Practice Test
    • Trigonometric Functions of Non-Acute Angles
    • Finding Trigonometric Function Values Using a Calculator
    • Finding Trigonometric Function Values Using a Calculator Practice Test
    • Finding Trigonometric Function Values Using a Calculator
    • Solving Right Triangles
    • Solving Right Triangles Practice Test
    • Solving Right Triangles
    • Section Quiz: Acute Angles and Right Triangles

    Trigonometry Part 3: Radian Measure & The Unit Circle

    • Radian Measure
    • Radian Measure Practice Test
    • Radian Measure
    • Finding the Arc Length on a Circle
    • Finding the Arc Length on a Circle Practice Test
    • Finding the Arc Length on a Circle
    • The Unit Circle & Circular Functions
    • The Unit Circle & Circular Functions Practice Test
    • The Unit Circle & Circular Functions
    • Linear & Angular Speed
    • Linear & Angular Speed Practice Test
    • Linear & Angular Speed
    • Section Quiz: Radian Measure & The Unit Circle

    Trigonometry Part 4: Graphing Trigonometric Functions

    • Graphing Trigonometric Functions Quick Note
    • Graphing Sine & Cosine
    • Graphing Sine & Cosine Practice Test
    • Graphing Sine & Cosine

    Trigonometry Part 5: Trigonometric Identities

    • Fundamental Identities Handout
    • Trigonometric Identities Handout
    • Fundamental Identities
    • Fundamental Identities Practice Test
    • Fundamental Identities
    • Verifying Trigonometric Identities
    • Verifying Trigonometric Identities Practice Test
    • Verifying Trigonometric Identities
    • Sum & Difference Identities for Cosine
    • Sum & Difference Identities for Cosine Practice Test
    • Sum & Difference Identities for Cosine
    • Sum & Difference Identities for Sine and Tangent
    • Sum & Difference Identities for Sine and Tangent Practice Test
    • Sum & Difference Identities for Sine and Tangent
    • Double-Angle, Product-to-Sum, & Sum-to-Product Identities
    • Double-Angle, Product-to-Sum, & Sum-to-Product Identities Practice Test
    • Double-Angle, Product-to-Sum, & Sum-to-Product Identities
    • Half-Angle Identities
    • Half-Angle Identities Practice Test
    • Half-Angle Identities
    • Section Quiz: Trigonometric Identities

    Trigonometry Part 6: Trigonometric Equations and Inverse Trigonometric Functions

    • Unit Circle Handout
    • Inverse Circular Functions
    • Inverse Circular Functions Practice Test
    • Inverse Circular Functions
    • Solving Trigonometric Equations Using Linear Methods
    • Solving Trigonometric Equations Using Linear Methods Practice Test
    • Solving Trigonometric Equations Using Linear Methods
    • Solving Trigonometric Equations Using Factoring
    • Solving Trigonometric Equations Using Factoring Practice Test
    • Solving Trigonometric Equations Using Factoring
    • Solving Trigonometric Equations Using Square Roots, Squaring, & Identities
    • Solving Trigonometric Equations: Square Roots, Squaring, & Identities Practice
    • Solving Trigonometric Equations Using Square Roots, Squaring, & Identities
    • Solving Trigonometric Equations with Half-Angles
    • Solving Trigonometric Equations with Half-Angles Practice Test
    • Solving Trigonometric Equations with Half-Angles
    • Solving Trigonometric Equations with Multiple Angles
    • Solving Trigonometric Equations with Multiple Angles Practice Test
    • Solving Trigonometric Equations with Multiple Angles
    • Solving Trigonometric Equations Using Inverse Trigonometric Functions
    • Solving Trigonometric Equations Using Inverse Trigonometric Functions Practice
    • Solving Trigonometric Equations Using Trigonometric Functions
    • Section Quiz: Solving Trigonometric Equations and Inverse Circular Functions

    Trigonometry Part 7: Law of Sines and Cosines

    • Law of Sines Part 1: (SAA) and (ASA)
    • Law of Sines Part 1: (SAA) and (ASA) Practice Test
    • Law of Sines Part 1: (SAA) and (ASA)
    • Law of Sines Part 2: (SSA) Ambiguous Case
    • Law of Sines Part 2: (SSA) Ambiguous Case Practice Test
    • Law of Sines Part 2: (SSA) Ambiguous Case
    • Law of Cosines (SAS) and (SSS), Heron's Formula
    • Law of Cosines (SAS) and (SSS), Heron's Formula Practice Test
    • Law of Cosines (SAS) and (SSS), Heron's Formula
    • Section Quiz: Law of Sines and Cosines

    Trigonometry Part 8: Vectors

    • Vectors Part 1: Component Form, Magnitude, & Direction Angle
    • Vectors Part 1: Component Form, Magnitude, & Direction Angle Practice Test
    • Vectors Part 1: Component Form, Magnitude, & Direction Angle
    • Vectors Part 2: Adding Vectors & Multiplying by a Scalar
    • Vectors Part 2: Adding Vectors & Multiplying by a Scalar Practice Test
    • Vectors Part 2: Adding Vectors & Multiplying by a Scalar
    • Vectors Part 3: The Dot Product & Angle Between Vectors
    • Vectors Part 3: The Dot Product & Angle Between Vectors Practice Test
    • Vectors Part 3: The Dot Product & Angle Between Vectors
    • Section Quiz: Vectors

    Trigonometry Part 9: Complex Numbers in Trigonometry

    • Review of Complex Numbers (Optional)
    • Review of Complex Numbers Practice Test
    • Review of Complex Numbers
    • Polar Form of Complex Numbers | Adding Complex Numbers Graphically
    • Polar Form of Complex Numbers | Adding Complex Numbers Graphically Practice Test
    • Polar Form of Complex Numbers | Adding Complex Numbers Graphically
    • Product and Quotient Theorems
    • Product and Quotient Theorems Practice Test
    • Product and Quotient Theorems
    • De Moivre's Theorem | Powers and Roots of Complex Numbers
    • De Moivre's Theorem | Powers and Roots of Complex Numbers Practice Test
    • De Moivre's Theorem | Powers and Roots of Complex Numbers
    • Section Quiz: Complex Numbers in Trigonometry

    Trigonometry Part 10: Polar/Parametric Equations and Graphs, Analytic Geometry

    • Polar Coordinate Grid
    • Polar Coordinates
    • Polar Coordinates Practice Test
    • Polar Coordinates
    • Distance Between Polar Points
    • Distance Between Polar Points Practice Test
    • Distance Between Polar Points
    • Polar Form of a Line
    • Polar Form of a Line Practice Test
    • Polar Form of a Line
    • Circles in Polar Form
    • Circles in Polar Form Practice Test
    • Circles in Polar Form
    • Analytic Geometry: Lines
    • Analytic Geometry: Lines Practice Test
    • Analytic Geometry: Lines
    • Section Quiz: Polar & Parametric Equations, Analytic Geometry

    User Questions

    • Finding the LCD for Rational Expressions PT #4
    • Adding & Subtracting Rational Expressions PT#10
    • Simplifying Complex Rational Expressions PT#4
    • Solving Exponential Equations with Like Bases PT #2
    • Finding the Inverse of a Domain Restricted Function Test #4
    • Finding the Inverse of a Domain Restricted Function Test #5
    • Partial Fraction Decomposition with Quadratic Factors Test #5

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