Beginning and Intermediate Algebra

2 Rev ed
ISBN: 978-0-07-722483-7
Verlag: McGraw-Hill Education - Europe

Buch, Englisch, 986 Seiten, Format (B × H): 210 mm x 256 mm, Gewicht: 2159 g

Beginning and Intermediate Algebra, 2e, by Messersmith is the first text in a series of future offerings in developmental mathematics. The author presents the content in bite-size pieces, focusing not only on learning mathematical concepts, but also explaining the why behind those concepts. For students, learning mathematics is not just about the memorization of concepts and formulas, but it is also about the journey of learning how to problem solve. By breaking the sections down into manageable chunks, the author has identified the core places where students traditionally struggle, and then assists them in understanding that material to be successful moving forward. Proven pedagogical features, such as You Try problems after each example, reinforce a student’s mastery of a concept. While teaching in the classroom, Messersmith has created worksheets for each section that fall into three categories: review worksheets/basic skills, worksheets to teach new content, and worksheets to reinforce/pull together different concepts. These worksheets are a great way to both enhance instruction and to give the students more tools to be successful in studying a given topic. The author is also an extremely popular lecturer, and finds it important to be in the video series that accompany her texts. Finally, the author finds it important to not only provide quality, but also an abundant quantity of exercises and applications. The book is accompanied by numerous useful supplements, including McGraw-Hill’s online homework management system, MathZone.
Messersmith – mapping the journey to mathematical success!

Autoren/Hrsg.

Messersmith, Sherri

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Computeralgebra
• Mathematik | Informatik Mathematik Algebra Elementare Algebra

Inhaltsverzeichnis

Chapter 1: The Real Number System and GeometrySection 1.1Review of FractionsSection 1.2Exponents and Order of OperationsSection 1.3Geometry ReviewSection 1.4Sets of Numbers and Absolute ValueSection 1.5Addition and Subtraction of Real NumbersSection 1.6Multiplication and Division of Real NumbersSection 1.7 Algebraic Expressions and Properties of Real NumbersChapter 2: Variables and ExponentsSection 2.1Simplifying ExpressionsSection 2.2a The Product Rule and Power Rules of ExponentsSection 2.2b Combining the RulesSection 2.3a Integer Exponents with Real Number BasesSection 2.3b Integer Exponents with Variable BasesSection 2.4The Quotient RuleMid-Chapter Summary: Putting the Rules TogetherSection 2.5Scientific NotationChapter 3: Linear Equations and InequalitiesSection 3.1Solving Linear Equations Part ISection 3.2Solving Linear Equations Part IISection 3.3Applications of Linear Equations to General Problems, Consecutive Integers, and Fixed and Variable CostSection 3.4Applications of Linear Equations to Percent Increase/Decrease and Investment ProblemsSection 3.5Geometry Applications and Solving Formulas for a Specific VariableSection 3.6Applications of Linear Equations to Proportions, d=rt, and Mixture ProblemsSection 3.7 Solving Linear Inequalities in One VariableSection 3.8Solving Compound InequalitiesChapter 4: Linear Equations in Two VariablesSection 4.1Introduction to Linear Equations in Two VariablesSection 4.2Graphing by Plotting Points and Finding InterceptsSection 4.3The Slope of a LineSection 4.4The Slope-Intercept Form of a LineSection 4.5Writing an Equation of a LineSection 4.6Parallel and Perpendicular LinesSection 4.7Introduction to FunctionsSection 4.8Function Notation and Linear FunctionsChapter 5: Solving Systems of Linear EquationsSection 5.1Solving Systems of Linear Equations by GraphingSection 5.2Solving Systems of Linear Equations by SubstitutionSection 5.3Solving Systems of Linear Equations by the Elimination MethodMid-Chapter SummarySection 5.4Applications of Systems of Two EquationsSection 5.5Systems of Linear Equations in Three VariablesChapter 6: PolynomialsSection 6.1Review of Rules of ExponentsSection 6.2Addition and Subtraction of PolynomialsSection 6.3Multiplication of PolynomialsSection 6.4Division of PolynomialsChapter 7: Factoring PolynomialsSection 7.1 The Greatest Common Factor and Factoring by GroupingSection 7.2Factoring Trinomials of the Form x^2 + bx + c Section 7.3Factoring Trinomials of the Form ax^2 + bx + c (a not equal to 1)Section 7.4Factoring Binomials and Perfect Square TrinomialsMid-Chapter SummarySection 7.5Solving Quadratic Equations by FactoringSection 7.6Applications of Quadratic EquationsChapter 8: Rational ExpressionsSection 8.1Simplifying Rational ExpressionsSection 8.2Multiplying and Dividing Rational ExpressionsSection 8.3Finding the Least Common DenominatorSection 8.4Adding and Subtracting Rational ExpressionsMid-Chapter SummarySection 8.5Simplifying Complex FractionsSection 8.6Solving Rational EquationsSection 8.7Applications of Equations Containing Rational ExpressionsChapter 9: Absolute Value Equations and Inequalities and More on Solving SystemsSection 9.1Solving Absolute Value EquationsSection 9.2Solving Absolute Value InequalitiesSection 9.3Linear Inequalities in Two VariablesSection 9.4Solving Systems of Equations Using MatricesChapter 10: Radicals and Rational ExponentsSection 10.1 Finding RootsSection 10.2 Rational ExponentsSection 10.3 Simplifying Expressions Containing Square RootsSection 10.4 Simplifying Expressions Containing Higher RootsSection 10.5 Adding and Subtracting RadicalsSection 10.6 Combining Multiplication, Addition, and Subtraction of RadicalsSection 10.7 Dividing RadicalsSection 10.8 Solving Radical EquationsChapter 11: Quadratic EquationsSection 11.1 Review of Solving Equations by FactoringSection 11.2 Solving Quadratic Equations Using the Square Root PropertySection 11.3 Complex NumbersSection 11.4 Solving Quadratic Equations by Completing the SquareSection 11.5 Solving Equations Using the Quadratic FormulaMid-Chapter SummarySection 11.6 Equations in Quadratic FormSection 11.7 Formulas and ApplicationsChapter 12: Functions and their GraphsSection 12.1 Relations and FunctionsSection 12.2 Graphs of Functions and TransformationsSection 12.3 Quadratic Functions and their GraphsSection 12.4 Applications of Quadratic Functions and Graphing Other ParabolasSection 12.5 The Algebra of FunctionsSection 12.6 VariationChapter 13: Inverse, Exponential, and Logarithmic FunctionsSection 13.1 Inverse FunctionsSection 13.2 Exponential FunctionsSection 13.3 Logarithmic FunctionsSection 13.4 Properties of LogarithmsSection 13.5 Common and Natural Logarithms and Change of BaseSection 13.6 Solving Exponential and Logarithmic EquationsChapter 14: Conic Sections, Nonlinear Inequalities, and Nonlinear SystemsSection 14.1 The CircleSection 14.2 The Ellipse and the HyperbolaMid-Chapter SummarySection 14.3 Nonlinear Systems of EquationsSection 14.4 Quadratic and Rational InequalitiesChapter 15: Sequences and Series **Available online**Section 15.1 Sequences and SeriesSection 15.2 Arithmetic Sequences and SeriesSection 15.3 Geometric Sequences and SeriesSection 15.4 The Binomial TheoremAppendix: Beginning Algebra ReviewSection A1 The Real Number System and GeometrySection A2 Variables and ExponentsSection A3 Linear Equations and InequalitiesSection A4 Linear Equations in Two Variables and FunctionsSection A5 Solving Systems of Linear EquationsSection A6 PolynomialsSection A7 Factoring PolynomialsSection A8 Rational Expressions

Über Autor(innen)

Messersmith, Sherri
Sherri Messersmith has been teaching at College of DuPage in Glen Ellyn, Illinois, since 1994. She has over 25 years of experience teaching many different courses from developmental mathematics through calculus. She earned a bachelor of science degree in the teaching of mathematics at the University of Illinois at Urbana-Champaign and went on to teach at the high level for two years. Sherri returned to UIUC and earned a master of science in applied mathematics and stayed on at the university to teach and coordinate large sections of undergraduate math courses. Sherri has authored several textbook, and she has also appeared in videos accompanying several McGraw-Hill texts. Sherri lives outside of Chicago with her husband, Phil, and their daughters, Alex and Cailen. In her precious free time, she likes to read, play the guitar, and travel -- the manuscripts for this and her previous books have accompanied her from Spain to Greece and many points in between.