Summary

With College Algebra Interactive , Trigsted has once again re-imagined the MyMathLab^® experience to help students make strong conceptual connections and better retain knowledge. Students engage in learning through videos, and animations embedded within the Trigsted iText. However, the revolutionary power of this new experience is in the Interactive Assignments that allow instructors to truly assign the iText and the animations and videos that are included in it. Exercises are integrated throughout the Interactive Assignments to check student understanding, and answers are recorded in the gradebook.

This package contains the Access Kit for the MyMathLab course plus the Guided Notebook.

The Guided Notebook is an interactive workbook that guides students through the course by asking them to write down key definitions and work through important examples for each section of the eText. This resource is available in a three-hole-punched, unbound format to provide the foundation for a personalized course notebook. Students can integrate their class notes and homework notes within the appropriate section of the Guided Notebook. Instructors can customize the Guided Notebook files found within MyMathLab.

Author Biography

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).

Review Chapter

R.1 Real Numbers

R.2 The Order of Operations and Algebraic Expressions

R.3 The Laws of Exponents; Radicals

R.4 Polynomials

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

2.2 Circles

2.3 Lines

2.4 Parallel and Perpendicular Lines

3. Functions

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

4.7 Variation

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. Matrices

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

Supplemental Materials

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