Overview

Become a Master of College Algebra, Pre-Calculus, & Trigonometry and Ace your next Algebra/Pre-Calculus/Trigonometry Exam! In this course, you will master all concepts of College-Level Algebra, Pre-Calculus, and Trigonometry, from beginner to advanced, with our step-by-step video tutorials and test your knowledge with over 4500 Practice Test Questions. The concepts you will learn are fundamental to success in higher math classes such as Calculus and Linear Algebra. Note: the Algebra topics covered from Pre-Calculus are also covered in a College Algebra course. Please read the topics below for further details.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 Function OperationsThe 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 EquationsSolving Exponential and Logarithmic InequalitiesApplications of Exponential and Logarithmic FunctionsFinding 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 SeriesSets, Subsets, Venn DiagramsUnion of Two or More SetsIntersection of Two or More SetsThe 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 Function Values Based on Pythagorean IdentitiesFinding Trigonometric Function Values Based on Quotient IdentitiesFinding Trigonometric Function Values of Acute AnglesWriting Trigonometric Functions in Terms of its CofunctionSolving Trigonometric Equations Using Cofunction IdentitiesReference AnglesFinding Trigonometric Function Values of Non-Acute AnglesFinding Angle Measures with Special AnglesFinding Trigonometric Function Values 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 SpeedGraphing Sine and CosineGraphing Function Transformations of Sine and CosineFinding the Amplitude, Period and Phase Shift for Trigonometric FunctionsUsing the Fundamental Identities to find missing Trigonometric RatiosUsing the Fundamental Identities to rewrite Trigonometric ExpressionsVerifying Trigonometric IdentitiesSum and Difference Identities for Sine, Cosine, and TangentFinding sin(A + B), cos(A + B), and tan(A + B)Finding sin(A - B), cos(A - B), and tan(A - B)Finding Trigonometric Function values using Double-Angle IdentitiesWorking with Product-to-Sum and Sum-to-Product IdentitiesWorking with Half-Angle IdentitiesEvaluating Inverse Trigonometric FunctionsGraphing Inverse Trigonometric FunctionsFinding the Composition of Inverse Trigonometric FunctionsSolving Trigonometric Equations Using Linear MethodsSolving Trigonometric Equations by FactoringSolving Trigonometric Equations by Squaring/Square RootsSolving Trigonometric Equations Using IdentitiesSolving Trigonometric Equations Using the Quadratic FormulaSolving Trigonometric Equations with Half-AnglesSolving Trigonometric Equations with Multiple AnglesSolving Trigonometric Equations Involving Inverse Trigonometric FunctionsThe Law of Sines (ASA)The Law of Sines (SAA)The Area of a Triangle using Sine (SAS)The Law of Sines Ambiguous case (SSA)The Law of Cosines (SAS), (SSS)The Area of a Triangle using Heron's FormulaFinding the Component Form of a VectorFinding the Magnitude of a VectorFinding the Direction Angle of a VectorFinding the Sum (resultant) of Two VectorsMultiplying a Vector by a ScalarHow to Find the Unit VectorHow to Write a Linear Combination of Unit VectorsHow to Find the Dot ProductHow to Find the Angle Between Two VectorsHow to Determine if Two Vectors are OrthogonalHow to Add Two Complex Numbers GraphicallyFind the Trigonometric (Polar) Form of a Complex NumberConvert a Complex Number between the Rectangular Form and Polar FormMultiplying Complex Numbers in Polar FormDividing Complex Numbers in Polar FormProduct and Quotient TheoremsDe Moivre's TheoremPowers of Complex Numbers in Polar FormRoots of Complex Numbers in Polar FormSolving Equations Using Roots of Complex NumbersThe Polar Coordinate SystemPlotting Polar Coordinates on the Polar GridConverting Between Polar Coordinates and Rectangular CoordinatesWriting Polar Coordinates in Multiple FormsFinding the Distance Between Two Polar PointsConverting Linear Equations Between Rectangular and Polar FormsGraphing Lines on the Polar Coordinate PlaneConverting Circles from Polar to Rectangular FormGraphing Circles on the Polar GridFinding the Inclination of a LineFinding the Angle Between Two LinesFinding the Shortest Distance Between a Point and a Line

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