Advanced Mathematical Concepts: Precalculus with Applications, Student Edition - 1st Edition - by McGraw-Hill, Berchie Holliday - ISBN 9780078682278
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Advanced Mathematical Concepts: Precalc...
1st Edition
McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
ISBN: 9780078682278

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Chapter 2 - Systems Of Linear Equations And InequalitiesChapter 2.1 - Solving Systems Of Equations In Two VariablesChapter 2.2 - Solving Systems Of Equations In Three VariablesChapter 2.3 - Modeling Real-world Data With MatricesChapter 2.4A - Graphing Calculator Exploration Transformation MatricesChapter 2.4 - Modeling Motion With MatricesChapter 2.5 - Determinants And Multiplicative InversesChapter 2.5B - Graphing Calculator Exploration Augmented Matrices And Reduced Row Echelon FormChapter 2.6 - Solving Systems Of Linear InequalitiesChapter 2.7 - Linear ProgrammingChapter 3 - The Nature Of GraphsChapter 3.1 - Symmetry And Coordinate GraphsChapter 3.2 - Families Of GraphsChapter 3.3 - Graphs Of Nonlinear InequalitiesChapter 3.4 - Inverse Functions And RelationsChapter 3.5 - Continuity And End BehaviorChapter 3.5B - Graphing Calculator ExplorationChapter 3.6 - Critical Points And ExtremaChapter 3.7 - Graphs Of Rational FunctionsChapter 3.8 - Direct, Inverse, And Joint VariationChapter 4 - Polynomial And Rational FunctionsChapter 4.1 - Polynomial FunctionsChapter 4.2 - Quadratic EquationsChapter 4.3 - The Remainder And Factor TheoremsChapter 4.4 - The Rational Root TheoremChapter 4.5 - Locating Zeros Of A Polynomial FunctionChapter 4.6 - Rational Equations And Partial FractionsChapter 4.7 - Radical Equations And InequalitiesChapter 4.8 - Modeling Real-world DataChapter 4.8B - Graphing Calculator Exploration: Fitting A Polynomial Function To A Set Of PointsChapter 5 - The Trigonometric FunctionsChapter 5.1 - Angles And Degree MeasureChapter 5.2 - Trigonometric Ratios In Right TrianglesChapter 5.3 - Trigonometric Functions On The Unit CircleChapter 5.4 - Applying Trigonometric FunctionsChapter 5.5 - Solving Right TrianglesChapter 5.6 - The Law Of SinesChapter 5.7 - The Ambiguous Case For The Law Of SinesChapter 5.8 - The Law Of CosinesChapter 5.8B - Graphing Calculator Exploration: Solving TrianglesChapter 6 - Graphs Of Trigonometric FunctionsChapter 6.1 - Angles And Radian MeasureChapter 6.2 - Linear And Angular VelocityChapter 6.3 - Graphing Sine And Cosine FunctionsChapter 6.4 - Amplitude And Period Of Sine And Cosine FunctionsChapter 6.5 - Translations Of Sine And Cosine FunctionsChapter 6.6 - Modeling Real-world Data With Sinusoidal FunctionsChapter 6.7 - Graphing Other Trigonometric FunctionsChapter 6.7B - Graphing Calculator Exploration: Sound BeatsChapter 6.8 - Trigonometric Inverses And Their GraphsChapter 7 - Trigonometric Identities And EquationsChapter 7.1 - Basic Trigonometric IdentitiesChapter 7.2 - Verifying Trigonometric IdentitiesChapter 7.3 - Sum And Difference IdentitiesChapter 7.3B - Graphing Calculator Exploration: Reduction IdentitiesChapter 7.4 - Double-angle And Half-angle IdentitiesChapter 7.5 - Solving Trigonometric EquationsChapter 7.6 - Normal Form Of A Linear EquationChapter 7.7 - Distance From A Point To A LineChapter 8 - Vectors And Parametric EquationsChapter 8.1 - Geometric VectorsChapter 8.2 - Algebraic VectorsChapter 8.3 - Vectors In Three-dimensional SpaceChapter 8.4 - Perpendicular VectorsChapter 8.4B - Graphing Calculator Exploration: Finding Cross ProductsChapter 8.5 - Applications With VectorsChapter 8.6 - Vectors And Parametric EquationsChapter 8.6B - Graphing Calculator Exploration: Modeling With Parametric EquationsChapter 8.7 - Modeling Motion Using Parametric EquationsChapter 8.8 - Transformational Matrices In Three-dimensional SpaceChapter 9 - Polar Coordinates And Complex NumbersChapter 9.1 - Polar CoordinatesChapter 9.2 - Graphs Of Polar EquationsChapter 9.3 - Polar And Rectangular CoordinatesChapter 9.4 - Polar Form Of A Linear EquationChapter 9.5 - Simplifying Complex NumbersChapter 9.6 - The Complex Plane And Polar Form Of Complex NumbersChapter 9.6B - Graphing Calculator Exploration: Geometry In The Complex PlaneChapter 9.7 - Products And Quotients Of Complex Numbers In Polar FormChapter 9.8 - Powers And Roots Of Complex NumbersChapter 10 - ConicsChapter 10.1 - Introduction To Analytic GeometryChapter 10.2 - CirclesChapter 10.3 - EllipsesChapter 10.4 - HyperbolasChapter 10.5 - ParabolasChapter 10.6 - Rectangular And Parametric Forms Of Conic SectionsChapter 10.7 - Transformations Of ConicsChapter 10.8 - Systems Of Second-degree Equations And InequalitiesChapter 10.8B - Graphing Calculator Exploration: Shading Areas On A GraphChapter 11 - Exponential And Logarithmic FunctionsChapter 11.1 - Real ExponentsChapter 11.2 - Exponential FunctionsChapter 11.3 - The Number EChapter 11.4 - Logarithmic FunctionsChapter 11.5 - Common LogarithmsChapter 11.6 - Natural LogarithmsChapter 11.6B - Graphing Calculator Exploration: Natural Logarithms And AreaChapter 11.7 - Modeling Real-world Data With Exponential And Logarithmic FunctionsChapter 12 - Sequences And SeriesChapter 12.1 - Arithmetic Sequences And SeriesChapter 12.2 - Geometric Sequences And SeriesChapter 12.3 - Infinite Sequences And SeriesChapter 12.3B - Graphing Calculator Exploration: Continued FractionsChapter 12.4 - Convergent And Divergent SeriesChapter 12.5 - Sigma Notation And The Nth TermChapter 12.6 - The Binomial TheoremChapter 12.7 - Special Sequences And SeriesChapter 12.8 - Sequences And IterationChapter 12.9 - Mathematical InductionChapter 13 - Combinatorics And ProbabilityChapter 13.1 - Permutations And CombinationsChapter 13.2 - Permutations With Repetitions And Circular PermutationsChapter 13.3 - Probability And OddsChapter 13.4 - Probabilities Of Compound EventsChapter 13.5 - Conditional ProbabilityChapter 13.6 - The Binomial Theorem And ProbabilityChapter 14 - Statistics And Data AnalysisChapter 14.1 - The Frequency DistributionChapter 14.2 - Measures Of Central TendencyChapter 14.3 - Measures Of VariabilityChapter 14.4 - The Normal DistributionChapter 14.4B - Graphing Calculator Exploration: The Standard Normal CurveChapter 14.5 - Sample Sets Of DataChapter 15 - Introduction To CalculusChapter 15.1 - LimitsChapter 15.2A - Graphing Calculator Exploration: The Slope Of A CurveChapter 15.2 - Derivatives And AntiderivativesChapter 15.3 - Area Under A CurveChapter 15.4 - The Fundamental Theorem Of Calculus

Book Details

Advanced Mathematical Concepts, 2006 provides comprehensive coverage of all the topics covered in a full-year Pre-calculus course. Its unique unit organization readily allows for semester courses in Trigonometry, Discrete Mathematics, Analytic Geometry, and Algebra and Elementary Functions. Pacing and Chapter Charts for Semester Courses are conveniently located in the Teacher Wraparound Edition.

Advanced Mathematical Concepts lessons develop mathematics using numerous examples, real-world applications, and an engaging narrative. Graphs, diagrams, and illustrations are used throughout to help students visualize concepts. Directions clearly indicate which problems may require the use of a graphing calculator.

New Features:
" A full-color design, a wide range of exercise sets, relevant special features, and an emphasis on graphing and technology invite your students to experience the excitement of understanding and applying higher-level mathematics skills.
" Graphing calculator instructions is provided in the Graphing Calculator Appendix. Each Graphing Calculator Exploration provides a unique problem-solving situation.
" SAT/ACT Preparation is a feature of the chapter end matter. The Glencoe Web site offers additional practice: amc.glencoe.com
" Applications immediately engage your students; interest. Concepts are reinforced through a variety of examples and exercise sets that encourage students to write, read, practice, think logically, and review.
" Calculus concepts and skills are integrated throughout the course.

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