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Master College Level Algebra with our Step by Step Video Tutorials. Over 2500 Practice Questions! Ace your Algebra Exam!
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College Algebra & Trigonometry Explained
Become a Master ofCollege Algebra & Trigonometry andAceyour nextAlgebra Exam! In this course, you will master all concepts of Algebra and Trigonometry, from beginner to advanced, with ourstep-by-stepvideo tutorials and test your knowledge with over 2500 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 NumbersOperations with PolynomialsFactoring PolynomialsRational ExpressionsRational ExponentsRadical ExpressionsSolving Linear Equations/Inequalities Solving Word Problems with Linear EquationsComplex NumbersSolving Quadratic Equations (Factoring, Completing the Square, Quadratic Formula)Solving Word Problems with Quadratic EquationsSolving Quadratic/Rational InequalitiesSolving Radical Equations/InequalitiesSolving Advanced Absolute Value Equations/InequalitiesThe Coordinate PlaneGraphing CirclesDistance and Midpoint FormulasRelations and FunctionsDomain and RangeVertical Line TestIncreasing, Decreasing, Constant IntervalsGraphing Linear FunctionsSlopeForms of a LineGraphs of Basic Equations (Parent Functions)Graphing Transformations FunctionOperationsThe Difference QuotientComposition of FunctionsSolving Linear Systems in Two/Three VariablesSolving Systems of Linear Inequalities in Two VariablesSolving Word Problems with Linear SystemsCurve Fitting, Finding the Equation of a Parabola Given Three PointsPartial Fraction DecompositionSolving Linear Systems using Gaussian Elimination and Gauss-Jordan EliminationMatrix Algebra (Adding Matrices, Multiplying Matrices, Solving Matrix Equations)Finding the Inverse of a MatrixSolving Linear Systems using the Inverse of a MatrixFinding the Determinant of a MatrixFinding the Inverse of a Matrix Using CofactorsSolving Linear Systems using Cramer’s RuleApplications of determinants: Area of a Triangle, test for collinearity, equation of a lineDetermine if functions are one-to-one using the Horizontal line test/algebraic methodsFinding the Inverse of a One-to-One FunctionFinding the Inverse of a Domain Restricted FunctionGraphing the Inverse of a FunctionGraphing Exponential FunctionsSolving Exponential Equations with Like BasesSolving Compound Interest Word ProblemsSolving Continuous Compound Interest Word ProblemsGraphing Logarithmic FunctionsProperties of LogarithmsExpanding Logarithms Condensing LogarithmsChange of Base Rule for LogarithmsSolving Exponential and Logarithmic EquationsFinding the Vertex Form of a ParabolaHow to Graph a ParabolaThe Remainder TheoremUsing the Remainder Theorem to test for Zeros of a Polynomial FunctionThe Factor TheoremUsing the Factor Theorem to factor a polynomial function given one zeroUsing the Rational Zeros Theorem to find all possible rational zerosThe Fundamental Theorem of Algebra and the Number of Zeros TheoremWriting Polynomial Functions Given Zeros and a PointConjugate Zeros TheoremDescartes’ Rule of SignsIntermediate Value TheoremBoundedness TheoremFind the upper and lower bounds for zeros of a polynomial functionSolving nonlinear systems of equationsConic Sections: Parabolas – Focus and Directrix Conic Sections: Ellipses – Finding the Foci and GraphingArithmetic SequencesArithmetic SeriesGeometric SequencesGeometric SeriesThe Binomial TheoremCounting TheoryCombinationsPermutationsProbabilityAngles in TrigonometryComplementary and Supplementary AnglesWorking with Degrees, Minutes, and SecondsConverting between Decimal Degrees and Degrees, Minutes, and SecondsDetermine if two angles are coterminal anglesFinding angle measures for similar trianglesFinding side lengths for similar trianglesFinding the Trigonometric Function Values of an AngleFinding the Trigonometric function Values of an Angle Given a Point on the Terminal SideFinding Trigonometric Function Values Given One Value and the QuadrantFinding Trigonometric FunctionValues Based on Pythagorean IdentitiesFinding Trigonometric FunctionValues Based on Quotient IdentitiesFinding Trigonometric Function Values of Acute AnglesWriting Trigonometric Functions in Terms of its CofunctionSolving Trigonometric Equations Using Cofunction IdentitiesReference AnglesFinding Trigonometric FunctionValues of Non-Acute AnglesFinding Angle Measures with Special AnglesFinding Trigonometric FunctionValues Using a CalculatorFinding Missing Angle Measures Using Inverse Trigonometric Functions: arcsin, arccos, arctanSolving Right TrianglesSolving Word Problems with angles of elevationSolving Word Problems with angles of depressionRadian MeasureConverting Between Radians and DegreesFinding the Arc Length on a CircleFinding the Area of a Sector of a CircleDefining the Six Trigonometric Functions Using the Unit CircleSolving Trigonometry Word Problems that Involve Linear and Angular SpeedUsing the Fundamental Identities to find missing Trigonometric RatiosUsing the Fundamental Identities to rewrite Trigonometric ExpressionsVerifying Trigonometric IdentitiesSum and Difference Identities for Sine, Cosine, and Tangent
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