Beginning and Intermediate Algebra - Rilegato

Messersmith, Sherri

Rilegato

ISBN 10: 0077224833 ISBN 13: 9780077224837

Casa editrice: McGraw-Hill Education, 2008

Riassunto

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!

Su questo libro

L'autore:

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.

Contenuti:

Chapter 1: The Real Number System and Geometry
1.1 Review of Fractions
1.2 Exponents and Order of Operations
1.3 Geometry Review
1.4 Sets of Numbers and Absolute Value
1.5 Addition and Subtraction of Real Numbers
1.6 Multiplication and Division of Real Numbers
1.7 Algebraic Expressions and Properties of Real Numbers
Chapter 2: Variables and Exponents
2.1 Simplifying Expressions
2.2a The Product Rule and Power Rules of Exponents
2.2b Combining the Rules
2.3a Integer Exponents with Real Number Bases
2.3b Integer Exponents with Variable Bases
2.4 The Quotient Rule
Mid-Chapter Summary: Putting the Rules Together
2.5 Scientific Notation
Chapter 3: Linear Equations and Inequalities
3.1 Solving Linear Equations Part I
3.2 Solving Linear Equations Part II
3.3 Applications of Linear Equations to General Problems, Consecutive Integers, and Fixed and Variable Cost
3.4 Applications of Linear Equations to Percent Increase/Decrease and Investment Problems
Section 3.5 Geometry Applications and Solving Formulas for a Specific Variable
3.6 Applications of Linear Equations to Proportions, d=rt, and Mixture Problems
3.7 Solving Linear Inequalities in One Variable
3.8 Solving Compound Inequalities
Chapter 4: Linear Equations in Two Variables
4.1 Introduction to Linear Equations in Two Variables
4.2 Graphing by Plotting Points and Finding Intercepts
4.3 The Slope of a Line
4.4 The Slope-Intercept Form of a Line
4.5 Writing an Equation of a Line
4.6 Parallel and Perpendicular Lines
4.7 Introduction to Functions
4.8 Function Notation and Linear Functions
Chapter 5: Solving Systems of Linear Equations
5.1 Solving Systems of Linear Equations by Graphing
5.2 Solving Systems of Linear Equations by Substitution
5.3 Solving Systems of Linear Equations by the Elimination Method
Mid-Chapter Summary
5.4 Applications of Systems of Two Equations
5.5 Systems of Linear Equations in Three Variables
6: Polynomials
6.1 Review of Rules of Exponents
6.2 Addition and Subtraction of Polynomials
6.3 Multiplication of Polynomials
6.4 Division of Polynomials
Chapter 7: Factoring Polynomials
7.1 The Greatest Common Factor and Factoring by Grouping
7.2 Factoring Trinomials of the Form x^2 + bx + c
7.3 Factoring Trinomials of the Form ax^2 + bx + c (a not equal to 1)
7.4 Factoring Binomials and Perfect Square Trinomials Mid-Chapter Summary
7.5 Solving Quadratic Equations by Factoring
7.6 Applications of Quadratic Equations
Chapter 8: Rational Expressions
8.1 Simplifying Rational Expressions
8.2 Multiplying and Dividing Rational Expressions
8.3 Finding the Least Common Denominator
8.4 Adding and Subtracting Rational Expressions
Mid-Chapter Summary
8.5 Simplifying Complex Fractions
8.6 Solving Rational Equations
8.7 Applications of Equations Containing Rational Expressions
9: Absolute Value Equations and Inequalities and More on Solving Systems
9.1 Solving Absolute Value Equations
9.2 Solving Absolute Value Inequalities
9.3 Linear Inequalities in Two Variables
9.4 Solving Systems of Equations Using Matrices
Chapter 10: Radicals and Rational Exponents
10.1 Finding Roots
10.2 Rational Exponents
10.3 Simplifying Expressions Containing Square Roots
10.4 Simplifying Expressions Containing Higher Roots
10.5 Adding and Subtracting Radicals
10.6 Combining Multiplication, Addition, and Subtraction of Radicals
10.7 Dividing Radicals
10.8 Solving Radical Equations
11: Quadratic Equations
11.1 Review of Solving Equations by Factoring
11.2 Solving Quadratic Equations Using the Square Root Property
11.3 Complex Numbers
11.4 Solving Quadratic Equations by Completing the Square
11.5 Solving Equations Using the Quadratic Formula
Mid-Chapter Summary
11.6 Equations in Quadratic Form
11.7 Formulas and Applications
Chapter 12: Functions and their Graphs
12.1 Relations and Functions
12.2 Graphs of Functions and Transformations
12.3 Quadratic Functions and their Graphs
12.4 Applications of Quadratic Functions and Graphing Other Parabolas
12.5 The Algebra of Functions
12.6 Variation
Chapter 13: Inverse, Exponential, and Logarithmic Functions
13.1 Inverse Functions
13.2 Exponential Functions
13.3 Logarithmic Functions
13.4 Properties of Logarithms
13.5 Common and Natural Logarithms and Change of Base
13.6 Solving Exponential and Logarithmic Equations
14: Conic Sections, Nonlinear Inequalities, and Nonlinear Systems
14.1 The Circle
14.2 The Ellipse and the Hyperbola
Mid-Chapter Summary
14.3 Nonlinear Systems of Equations
14.4 Quadratic and Rational Inequalities
Chapter 15: Sequences and Series **Available online**
15.1 Sequences and Series
15.2 Arithmetic Sequences and Series
15.3 Geometric Sequences and Series
15.4 The Binomial Theorem
Appendix: Beginning Algebra Review
A1 The Real Number System and Geometry
A2 Variables and Exponents
A3 Linear Equations and Inequalities
A4 Linear Equations in Two Variables and Functions
A5 Solving Systems of Linear Equations
A6 Polynomials
A7 Factoring Polynomials
A8 Rational Expressions

Su questa edizione

• Editore: McGraw-Hill Education
• Data di pubblicazione: 2008
• ISBN 10: 0077224833
• ISBN 13: 9780077224837
• Rilegatura: Copertina rigida
• Numero edizione: 2
• Numero di pagine: 986