## Udemy course College Algebra & Trigonometry Explained by John Greene, M.A.

**College Algebra & Trigonometry Explained** is the best **Udemy course** on the market. With this offer they will be able to greatly improve their knowledge and become more competitive within the **Teaching & Academics** category. Therefore, if you are looking to improve your **Teaching & Academics** skills we recommend that you **download College Algebra & Trigonometry Explained udemy course.**

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**Course data:**

- Author: John Greene, M.A.
- Course rating: 4.7
- Category: Teaching & Academics
- Modality: Online
- Status: Available
- Idiom: English

### Abouth John Greene, M.A.

John Greene earned a bachelor’s degree in Mathematics and a master’s degree in Economics. Throughout his career, he has helped thousands of students ace their math and economics courses. Additionally, John has helped students learn advanced programming concepts and break into the field of web development. John has a passion for teaching and helping students achieve their goals.

## What the udemy College Algebra & Trigonometry Explained course teaches?

What you’ll learn Review of Basic Concepts: Real Numbers, Order of Operations, Number Line, Absolute Value Review of Polynomials: Adding, Subtracting, Multiplying, Dividing, Synthetic Division, Factoring Review of Rational Expressions: Lowest Terms, Undefined, Addition, Subtraction, Multiplication, Division, Complex Fractions Review of Radical Expressions: Radical Notation, Simplifying a Radical, Operations with Radicals, Rationalizing Denominators Solving Linear Equations and Inequalities Solving Application of Linear Equations Problems (Word Problems) Solving Absolute Value Equations and Inequalities Working with Complex Numbers Solving Quadratic Equations and Inequalities Solving Applications of Quadratic Equations (Word Problems) Solving Rational Equations and Inequalities Solving Radical Equations and Inequalities The Rectangular Coordinate Plane The Complex Coordinate Plane Distance and Midpoint Formulas Relations and Functions Domain and Range Function Notation, Function Composition, Operations on Functions Graphing Linear Equations Linear Equations, Finding the Slope of a Line and Equations of Lines Graphing Circles Graphing Elementary Functions Graphing Transformations Solving Systems of Linear Equations in Two Variables Solving Systems of Linear Equations in Three Variables Solving Word Problems with Linear Systems Using Curve Fitting to Find an Equation Through Three Points Partial Fraction Decomposition Solving Linear Systems using Gaussian Elimination and Gauss-Jordan Elimination Matrix Algebra Adding and Subtracting Matrices Solving Matrix Equations Multiplying a Matrix by a Scalar Multiplying Matrices Finding the Inverse of a Matrix Solving Linear Systems using Matrix Inverses Determine if functions are one-to-one using the horizontal line test Determine if functions are one-to-one algebraically Find the Inverse of a One-to-One Function Find the Inverse of a Domain Restricted One-to-One Function Graphing the Inverse of a Function Graphing an Exponential Function Solving Exponential Equations with Like Bases Solving Compound Interest Word Problems Graphing Logarithmic Functions Properties of Logarithms | Condensing Logarithms | Expanding Logarithms Change of Base Rule for Logarithms Solving Exponential and Logarthimic Equations Finding the Vertex Form of a Parabola How to Graph a Parabola Remainder Theorem Using the Remainder Theorem to Test Zeros for a Polynomial Function The Factor Theorem Using the Factor Theorem to Factor a Polynomial Function Given One Zero The Rational Zeros Theorem The Fundamental Theorem of Algebra The Number of Zeros Theorem Writing Polynomial Equations Given Zeros and a Point Conjugate Zeros Theorem Descartes’ Rule of Signs Intermediate Value Theorem Boundedness Theorem Finding the upper and lower bounds for the real zeros of a polynomial function Solving NonLinear Systems of Equations Conic Sections: Parabolas – Focus and Directrix Conic Sections: Ellipses – Finding the Foci and Graphing Sequences Arithmetic Sequences Geometric Sequences Arithmetic Series Geometric Series Finding the Common Difference in an Arithmetic Sequence Evaluating an Arithmetic Series The Binomial Theorem Working with sets, roster method, subsets, Venn diagrams Combinations Permutations Counting Theory Probability Angles in Trigonometry Complementary Angles Supplementary Angles Determine if two angles are coterminal angles Finding Angle measures for similar triangles Finding side lengths for similar triangles Finding the Trigonometric Function Values of an Angle Finding Trigonometric Function Values Given One Value and the Quadrant Finding Trigonometric Function Values Based on Reciprocal Identities Finding Trigonometric Function Values Based on Pythagorean Identities Finding Trigonometric Function Values Based on Quotient Identities Finding Trigonometric Function Values of Acute Angles Writing a Trigonometric Function in terms of its Cofunction Solving Trigonometric Equations Using Cofunction Ident…

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### More information about the course College Algebra & Trigonometry Explained

Become a Master of College Algebra & Trigonometry and Ace your next Algebra Exam ! In this course, you will master all concepts of Algebra and Trigonometry , from beginner to advanced, with our step-by-step video tutorials and test your knowledge with over 3500 Practice Test Questions . The concepts you will learn are fundamental to success in higher math classes such as Calculus and Linear Algebra. The topics of the course include: Review of Real Numbers Operations with Polynomials Factoring Polynomials Rational Expressions Rational Exponents Radical Expressions Solving Linear Equations/Inequalities Solving Word Problems with Linear Equations Complex Numbers Solving Quadratic Equations (Factoring, Completing the Square, Quadratic Formula) Solving Word Problems with Quadratic Equations Solving Quadratic/Rational Inequalities Solving Radical Equations/Inequalities Solving Advanced Absolute Value Equations/Inequalities The Coordinate Plane Graphing Circles Distance and Midpoint Formulas Relations and Functions Domain and Range Vertical Line Test Increasing, Decreasing, Constant Intervals Graphing Linear Functions Slope Forms of a Line Graphs of Basic Equations (Parent Functions) Graphing Transformations Function Operations The Difference Quotient Composition of Functions Solving Linear Systems in Two/Three Variables Solving Systems of Linear Inequalities in Two Variables Solving Word Problems with Linear Systems Curve Fitting, Finding the Equation of a Parabola Given Three Points Partial Fraction Decomposition Solving Linear Systems using Gaussian Elimination and Gauss-Jordan Elimination Matrix Algebra (Adding Matrices, Multiplying Matrices, Solving Matrix Equations) Finding the Inverse of a Matrix Solving Linear Systems using the Inverse of a Matrix Finding the Determinant of a Matrix Finding the Inverse of a Matrix Using Cofactors Solving Linear Systems using Cramer’s Rule Applications of determinants: Area of a Triangle, test for collinearity, equation of a line Determine if functions are one-to-one using the Horizontal line test/algebraic methods Finding the Inverse of a One-to-One Function Finding the Inverse of a Domain Restricted Function Graphing the Inverse of a Function Graphing Exponential Functions Solving Exponential Equations with Like Bases Solving Compound Interest Word Problems Solving Continuous Compound Interest Word Problems Graphing Logarithmic Functions Properties of Logarithms Expanding Logarithms Condensing Logarithms Change of Base Rule for Logarithms Solving Exponential and Logarithmic Equations Finding the Vertex Form of a Parabola How to Graph a Parabola The Remainder Theorem Using the Remainder Theorem to test for Zeros of a Polynomial Function The Factor Theorem Using the Factor Theorem to factor a polynomial function given one zero Using the Rational Zeros Theorem to find all possible rational zeros The Fundamental Theorem of Algebra and the Number of Zeros Theorem Writing Polynomial Functions Given Zeros and a Point Conjugate Zeros Theorem Descartes’ Rule of Signs Intermediate Value Theorem Boundedness Theorem Find the upper and lower bounds for zeros of a polynomial function Solving nonlinear systems of equations Conic Sections: Parabolas – Focus and Directrix Conic Sections: Ellipses – Finding the Foci and Graphing Arithmetic Sequences Arithmetic Series Geometric Sequences Geometric Series Sets, Subsets, Venn Diagrams Union of Two or More Sets Intersection of Two or More Sets The Binomial Theorem Counting Theory Combinations Permutations Probability Angles in Trigonometry Complementary and Supplementary Angles Working with Degrees, Minutes, and Seconds Converting between Decimal Degrees and Degrees, Minutes, and Seconds Determine if two angles are coterminal angles Finding angle measures for similar triangles Finding side lengths for similar triangles Finding the Trigonometric Function Values of an Angle Finding the Trigonometric function Values of an Angle Given a Point on the Term…