Connect Math hosted by ALEKS Online Access 52 Weeks for College Algebra

© 2017
by Julie Miller

2nd Edition Online resource
9781259295966 1259295966
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When Julie Miller began writing her successful developmental math series, one of her primary goals was to bridge the gap between preparatory courses and college algebra. For thousands of students, the Miller/O'Neill/Hyde (or M/O/H) series has provided a solid foundation in developmental mathematics. With the Miller College Algebra series, Julie has carried forward her clear, concise writing style; highly effective pedagogical features; and complete author-created technological package to students in this course area.

The main objectives of the college algebra series are three-fold:

" Provide students with a clear and logical presentation of the basic concepts that will prepare them for continued study in mathematics.

" Help students develop logical thinking and problem-solving skills that will benefit them in all aspects of life.

" Motivate students by demonstrating the significance of mathematics in their lives through practical applications.

College Algebra 1e

Chapter R: Review of Prerequisites

Section R.1 Sets and the Real Number Line Section R.2 Models, Algebraic Expressions, and Properties of Real Numbers Section R.3 Integer Exponents and Scientific Notation Section R.4 Rational Exponents and Radicals Section R.5 Polynomials and Multiplication of Radicals

Problem Recognition Exercises: Simplifying Algebraic Expressions Section R.6 Factoring Section R.7 Rational Expressions and More Operations on Radicals

Chapter 1: Equations and Inequalities

Section 1.1 Linear Equations and Rational Equations Section 1.2 Applications and Modeling with Linear Equations Section 1.3 Complex Numbers Section 1.4 Quadratic Equations

Problem Recognition Exercises: Simplifying Expressions versus Solving Equations Section 1.5 Applications of Quadratic Equations Section 1.6 More Equations and Applications Section 1.7 Linear Inequalities and Compound Inequalities Section 1.8 Absolute Value Equations and Inequalities

Problem Recognition Exercises: Recognizing and Solving Equations and Inequalities

Chapter 2: Functions and Graphs

Section 2.1 The Rectangular Coordinate System and Graphing Utilities Section 2.2 Circles Section 2.3 Functions and Relations Section 2.4 Linear Equations in Two Variables and Linear Functions Section 2.5 Applications of Linear Equations and Modeling

Problem Recognition Exercises: Comparing Graphs of Equations Section 2.6 Transformation of Graphs Section 2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions Section 2.8 The Algebra of Functions

Chapter 3: Polynomial and Rational Functions

Section 3.1 Quadratic Functions and Applications Section 3.2 Introduction to Polynomial Functions Section 3.3 Division of Polynomials and the Remainder and Factor Theorems Section 3.4 Zeros of Polynomials Section 3.5 Rational Functions

Problem Recognition Exercises: Polynomial and Rational Functions Section 3.6 Polynomial and Rational Inequalities

Problem Recognition Exercises: Solving Equations and Inequalities Section 3.7 Variation

Chapter 4: Exponential and Logarithmic Functions

Section 4.1 Inverse Functions Section 4.2 Exponential Functions Section 4.3 Logarithmic Functions

Problem Recognition Exercises: Analyzing Functions Section 4.4 Properties of Logarithms Section 4.5 Exponential and Logarithmic Equations Section 4.6 Modeling with Exponential and Logarithmic Functions

Chapter 5: Systems of Equations and Inequalities

Section 5.1 Systems of Linear Equations in Two Variables and Applications Section 5.2 Systems of Linear Equations in Three Variables and Applications Section 5.3 Partial Fraction Decomposition Section 5.4 Systems of Nonlinear Equations in Two Variables Section 5.5 Inequalities and Systems of Inequalities in Two Variables

Problem Recognition Exercises: Equations and Inequalities in Two Variables Section 5.6 Linear Programming

Chapter 6: Matrices and Determinants and Applications

Section 6.1 Solving Systems of Linear Equations Using Matrices Section 6.2 Inconsistent Systems and Dependent Equations Section 6.3 Operations on Matrices Section 6.4 Inverse Matrices and Matrix Equations Section 6.5 Determinants and Cramer's Rule

Problem Recognition Exercises: Using Multiple Methods to Solve Systems of Linear Equations

Chapter 7: Analytic Geometry

Section 7.1 The Ellipse Section 7.2 The Hyperbola Section 7.3 The Parabola

Problem Recognition Exercises: Comparing Equations of Conic Sections and Investigating the General Equation

Chapter 8: Sequences, Series, Induction, and Probability

Section 8.1 Sequences and Series Section 8.2 Arithmetic Sequences and Series Section 8.3 Geometric Sequences and Series

Problem Recognition Exercises: Comparing Arithmetic and geometric Sequences and Series Section 8.4 Mathematical Induction Section 8.5 The Binomial Theorem Section 8.6 Principles of Counting Section 8.7 Introduction to Probability

Appendix A: Proof of the Binomial Theorem

New to this Edition

Clear, Precise Writing

Because a diverse group of students take this course, Julie Miller has written this manuscript to use simple and accessible language. Through her friendly and engaging writing style, students are able to understand the material easily.

Exercise Sets at the end of each section are graded, varied & organized to maximize student learning: Review Exercises begin the section-level exercises & ensure students have the prerequisite skills to complete the homework successfully. Concept Connections exercises prompt students to review the vocabulary & key concepts presented in the section. Core Exercises are presented next & are grouped by objective. These are linked to examples in the text & direct students to similar problems whose solutions have been stepped-out in detail...

Modeling and Applications

This textbook is filled with robust applications and numerous opportunities for mathematical modeling to motivate students and make mathematics more meaningful to them.

Problem Recognition Exercises

Problem Recognition Exercises appear in strategic locations in each chapter of the text. These exercises help students compare and contrast a variety of problem types and determine which mathematical tool to apply to a given problem.

Digital Media assets were created exclusively by the author team to ensure that the author voice is present and consistent throughout the supplements.

The author, Donna Gerken, ensures that each algorithm in the online homework has a stepped-out solution unique to the Miller style.

The authors created a library of activities in the Student Resource Manual that include group activities, Wolfram Alpha activities, and Excel activities.

Julie Miller created video content (lecture videos, exercise videos, and graphing calculator videos) to give students access to classroom-type instruction by the author.

Author Julie Miller has constructed dynamic math animations. The animations are diverse in scope and give students an interactive approach to conceptual learning. The animated content illustrates difficult concepts by leveraging the use of on-screen movement where static images in the text may fall short.

Connect Hosted by ALEKS is an exciting new assignment and assessment ehomework platform. Instructors can assign an Artificially Intelligent-driven ALEKS Assessment to identify the strengths and weaknesses of each student at the beginning of the term rather than after the first exam. Assignment creation and navigation is efficient and intuitive. The gradebook, based on instructor feedback, has a straightforward design and allows flexibility to import and export additional grades.

The authors developed lecture notes in both ready-made PDF format and in Word format so that instructors can tailor the material to their course. These notes provide instructors a framework for lecture and students guidance on note-taking.

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