What you’ll learn
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Review of Basic Concepts: Real Numbers, Order of Operations, Number Line, Absolute Value
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Review of Polynomials: Adding, Subtracting, Multiplying, Dividing, Synthetic Division, Factoring
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Review of Rational Expressions: Lowest Terms, Undefined, Addition, Subtraction, Multiplication, Division, Complex Fractions
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Review of Radical Expressions: Radical Notation, Simplifying a Radical, Operations with Radicals, Rationalizing Denominators
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Solving Linear Equations and Inequalities
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Solving Application of Linear Equations Problems (Word Problems)
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Solving Absolute Value Equations and Inequalities
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Working with Complex Numbers
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Solving Quadratic Equations and Inequalities
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Solving Applications of Quadratic Equations (Word Problems)
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Solving Rational Equations and Inequalities
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Solving Radical Equations and Inequalities
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The Rectangular Coordinate Plane
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The Complex Coordinate Plane
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Distance and Midpoint Formulas
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Relations and Functions
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Domain and Range
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Function Notation, Function Composition, Operations on Functions
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Graphing Linear Equations
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Linear Equations, Finding the Slope of a Line and Equations of Lines
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Graphing Circles
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Graphing Elementary Functions
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Graphing Transformations
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Solving Systems of Linear Equations in Two Variables
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Solving Systems of Linear Equations in Three Variables
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Solving Word Problems with Linear Systems
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Using Curve Fitting to Find an Equation Through Three Points
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Partial Fraction Decomposition
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Solving Linear Systems using Gaussian Elimination and Gauss-Jordan Elimination
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Matrix Algebra
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Adding and Subtracting Matrices
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Solving Matrix Equations
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Multiplying a Matrix by a Scalar
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Multiplying Matrices
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Finding the Inverse of a Matrix
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Solving Linear Systems using Matrix Inverses
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Determine if functions are one-to-one using the horizontal line test
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Determine if functions are one-to-one algebraically
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Find the Inverse of a One-to-One Function
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Find the Inverse of a Domain Restricted One-to-One Function
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Graphing the Inverse of a Function
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Graphing an Exponential Function
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Solving Exponential Equations with Like Bases
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Solving Compound Interest Word Problems
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Graphing Logarithmic Functions
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Properties of Logarithms | Condensing Logarithms | Expanding Logarithms
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Change of Base Rule for Logarithms
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Solving Exponential and Logarthimic Equations
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Solving Exponential and Logarithmic Inequalities
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Applications of Exponential and Logarithmic Functions
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Finding the Vertex Form of a Parabola
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How to Graph a Parabola
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Remainder Theorem
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Using the Remainder Theorem to Test Zeros for a Polynomial Function
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The Factor Theorem
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Using the Factor Theorem to Factor a Polynomial Function Given One Zero
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The Rational Zeros Theorem
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The Fundamental Theorem of Algebra
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The Number of Zeros Theorem
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Writing Polynomial Equations Given Zeros and a Point
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Conjugate Zeros Theorem
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Descartes’ Rule of Signs
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Intermediate Value Theorem
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Boundedness Theorem
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Finding the upper and lower bounds for the real zeros of a polynomial function
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Solving NonLinear Systems of Equations
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Conic Sections: Parabolas – Focus and Directrix
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Conic Sections: Ellipses – Finding the Foci and Graphing
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Sequences
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Arithmetic Sequences
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Geometric Sequences
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Arithmetic Series
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Geometric Series
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Finding the Common Difference in an Arithmetic Sequence
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Evaluating an Arithmetic Series
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The Binomial Theorem
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Working with sets, roster method, subsets, Venn diagrams
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Combinations
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Permutations
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Counting Theory
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Probability
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Angles in Trigonometry
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Complementary Angles
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Supplementary Angles
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Determine if two angles are coterminal angles
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Finding Angle measures for similar triangles
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Finding side lengths for similar triangles
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Finding the Trigonometric Function Values of an Angle
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Finding Trigonometric Function Values Given One Value and the Quadrant
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Finding Trigonometric Function Values Based on Reciprocal Identities
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Finding Trigonometric Function Values Based on Pythagorean Identities
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Finding Trigonometric Function Values Based on Quotient Identities
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Finding Trigonometric Function Values of Acute Angles
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Writing a Trigonometric Function in terms of its Cofunction
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Solving Trigonometric Equations Using Cofunction Identities
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Finding Reference Angles
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Special Angles as Reference Angles
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Finding Angle Measures with Special Angles
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Finding Trigonometric Function Values of Non-Acute Angles
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Finding Trigonometric Function Values Using a Calculator
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Finding Unknown Angle Measures Using Inverse Trigonometric Functions: arcsin, arccos, arctan
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Solving Right Triangles
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Solving Word Problems that involve angles of elevation
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Solving Word Problems that involve angles of depression
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Radian Measure
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Converting Between Degrees and Radians
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How to Find the Arc Length on a Circle
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How to Find the Area of a Sector of a Circle
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Defining the Six Trigonometric Functions Using the Unit Circle
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Working with Circular Functions
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Solving Trigonometry Word Problems that Involve Linear Speed
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Solving Trigonometry Word Problems that Involve Angular Speed
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Graphing Sine and Cosine
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Function Transformations with Sine and Cosine
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Finding the Period, Amplitude, and Phase Shift
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Using the Fundamental Trigonometric Identities to Find Missing Trigonometric Ratios
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Using the Fundamental Trigonometric Identities to rewrite Trigonometric Expressions
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How to Verify Trigonometric Identities
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Sum and Difference Identities for Sine, Cosine, and Tangent
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Finding sin(A + B)
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Finding cos(A + B)
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Finding tan(A + B)
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Double-Angle Identities
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Product-to-Sum Identities
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Sum-to-Product Identities
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Half-Angle Identities
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Evaluating Inverse Trigonometric Functions
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Graphing the Inverse Trigonometric Functions
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Finding the Composition of the Inverse Trigonometric Functions
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Solving Trigonometric Equations Using Linear Methods
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Solving Trigonometric Equations by Factoring
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Solving Trigonometric Equations by Squaring/Square Roots
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Solving Trigonometric Equations Using Identities
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Solving Trigonometric Equations Using the Quadratic Formula
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Solving Trigonometric Equations with Half-Angles
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Solving Trigonometric Equations with Multiple Angles
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Solving Trigonometric Equations Involving Inverse Trigonometric Functions
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Law of Sines
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Law of Sines (Ambiguous Case)
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Area of a Triangle using Sine (SAS) and (ASA)
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Law of Cosines
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Area of a Triangle using Heron’s Formula
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Finding the Component Form of a Vector
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Finding the Magnitude of a Vector
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Finding the Direction Angle of a Vector
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Finding the sum (resultant) of two vectors
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Multiplying a vector by a scalar
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Finding the Unit Vector
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Writing a Linear Combination of Unit Vectors
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Find the Dot Product of Two Vectors
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Find the Angle Between Two Vectors
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Determine if Two Vectors are Orthogonal
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Adding Two Complex Numbers Graphically
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Finding the Trigonometric (Polar) Form of a Complex Number
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Converting a Complex Number between Rectangular and Polar Forms
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Multiplying Complex Numbers in Polar Form
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Dividing Complex Numbers in Polar Form
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Product and Quotient Theorems
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De Moivre’s Theorem
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Powers of Complex Numbers in Polar Form
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Solving Equations Using Roots of Complex Numbers
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Plotting Points on the Polar Coordinate Grid
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Converting Points Between Rectangular and Polar Forms
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Writing Polar Coordinates in Alternative Forms
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Finding the Distance Between Two Polar Points
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Converting a Line Between Polar and Rectangular Forms
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Graphing a Line on the Polar Grid
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Finding the Inclination of a Line
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Finding the Angle Between Two Lines
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Finding the Shortest Distance Between a Line and a Point
Can I download College Algebra, Pre-Calculus, & Trigonometry Explained course?
You can download videos for offline viewing in the Android/iOS app. When course instructors enable the downloading feature for lectures of the course, then it can be downloaded for offline viewing on a desktop.Can I get a certificate after completing the course?
Yes, upon successful completion of the course, learners will get the course e-Certification from the course provider. The College Algebra, Pre-Calculus, & Trigonometry Explained course certification is a proof that you completed and passed the course. You can download it, attach it to your resume, share it through social media.Are there any other coupons available for this course?
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