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Kirk Trigsted revolutionized the way this course is taught when he created College Algebra, a completely clickable eText that was written from the ground up within MyMathLab®. Recognizing that today’s students start with the homework instead of reading the text, Trigsted created an online learning environment that is a seamless mix of exposition, videos, interactive animations, tutorials, and assessment. This approach leverages the power of MyMathLab and leads students to interact with course materials in a way that is proving to be more effective.
With this new edition, Trigsted continues to innovate with a revised design with improved navigation and usability, expanded videos, and increased animation coverage. As with the prior edition, all multimedia elements, exercises, feedback, and content are written by the author himself, so that the students have a consistent voice throughout the eText.
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Kirk Trigsted teaches mathematics at the University of Idaho and has been Director of the Polya Mathematics Center since its inception in 2001. Kirk has taught with MyMathLab for many years, and has contributed to the videos for several Pearson books. Kirk is also actively involved with the National Center for Academic Transformation (NCAT).
Table of Contents
R.1 Real Numbers
R.2 The Order of Operations and Algebraic Expressions
R.3 The Laws of Exponents; Radicals
R.5 Factoring Polynomials
R.6 Rational Expressions
1. Equations, Inequalities, and Applications
1.1 Linear Equations
1.2 Applications of Linear Equations
1.3 Complex Numbers
1.4 Quadratic Equations
1.5 Applications of Quadratic Equations
1.6 Other Types of Equations
1.7 Linear Inequalities
1.8 Absolute Value Equations and Inequalities
1.9 Polynomial and Rational Inequalities
2. The Rectangular Coordinate System, Lines, and Circles
2.1 The Rectangular Coordinate System
2.4 Parallel and Perpendicular Lines
3.1 Relations and Functions
3.2 Properties of a Function's Graph
3.3 Graphs of Basic Functions; Piecewise Functions
3.4 Transformations of Functions
3.5 The Algebra of Functions; Composite Functions
3.6 One-to-One Functions; Inverse Functions
4. Polynomial and Rational Functions
4.1 Quadratic Functions
4.2 Applications and Modeling of Quadratic Functions
4.3 The Graphs of Polynomial Functions
4.4 Synthetic Division; The Remainder and Factor Theorems
4.5 The Zeros of Polynomial Functions; The Fundamental Theorem of Algebra
4.6 Rational Functions and Their Graphs
5. Exponential and Logarithmic Functions and Equations
5.1 Exponential Functions
5.2 Logarithmic Functions
5.3 Properties of Logarithms
5.4Exponential and Logarithmic Equations
5.5 Applications of Exponential and Logarithmic Functions
6. Conic Sections
6.1 The Parabola
6.2 The Ellipse
6.3 The Hyperbola
7. Systems of Equations and Inequalities
7.1 Systems of Linear Equations in Two Variables
7.2 Systems of Linear Equations in Three Variables
7.3 Inconsistent and Dependent Linear Systems in Three Variables
7.4 Partial Fraction Decomposition
7.5 Systems of Nonlinear Equations
7.6 Systems of Inequalities
8.1 Matrix Operations
8.2 Inverses of Matrices and Matrix Equations
8.3 Determinants and Cramer's Rule
9. Sequences and Series; Counting and Probability
9.1 Introduction to Sequences and Series
9.2 Arithmetic Sequences and Series
9.3 Geometric Sequences and Series
9.4 The Binomial Theorem
9.5 Mathematical Induction
9.6 The Theory of Counting
9.7 An Introduction to Probability
Appendix A. Conic Section Proofs