List of course topics for MATH 15900 Precalculus



MATH 15900 PRECALCULUS - List of Course TopicsIU e-TEXT: Swokowski & Cole, Algebra & Trigonometry with Analytic Geometry, Classic 12th EditionChapter 1:Fundamental Concepts of Algebra1.1Real Numbers1.2Exponents and Radicals1.3Algebraic Expressions1.4Fractional ExpressionsChapter 2:Equations and Inequalities2.1Equations2.2Applied Problems2.3Quadratic Equations2.4Complex Numbers2.5Other Types of Equations2.6Inequalities2.7More on InequalitiesChapter 3:Functions and Graphs3.1Rectangular Coordinate Systems3.2Graphs of Equations3.3Lines3.4Definition of Function3.5Graphs of Functions3.6Quadratic Functions3.7Operations on FunctionsChapter 4:Polynomial and Rational Functions4.1Polynomial Functions of Degree Greater Than 24.2Properties of DivisionChapter 5:Exponential and Logarithmic Functions5.1Inverse Functions5.2Exponential Functions5.3The Natural Exponential Function5.4Logarithmic Functions5.5Properties of Logarithms5.6Exponential and Logarithmic EquationsChapter 11:Topics From Analytic Geometry11.1Parabolas11.2Ellipses (omit eccentricity)11.3HyperbolasChapter 9:Systems of Equations and Inequalities9.1Systems of Equations9.2Systems of Linear Equations in Two VariablesChapter 6:The Trigonometric Functions6.1Angles6.2Trigonometric Functions of Angles6.3Trigonometric Functions of Real Numbers6.4Values of the Trigonometric Functions6.5Trigonometric Graphs6.7Applied Problems (omit harmonic motion problems)Chapter 7:Analytic Trigonometry7.1Verifying Trigonometric Identities7.2Trigonometric Equations7.3The Addition and Subtraction Formulas7.4Multiple-Angle Formulas7.6The Inverse Trigonometric FunctionsChapter 8:Applications of Trigonometry8.1The Law of Sines8.2The Law of Cosines ................
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