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Julie Miller wrote her developmental math series because students were coming into her Precalculus course underprepared. They weren’t mathematically mature enough to understand the concepts of math nor were they fully engaged with the material. She began her developmental mathematics offerings with intermediate algebra to help bridge that gap. The Precalculus series is a carefully constructed end to that bridge that uses the highly effective pedagogical features from her fastest growing developmental math series. What sets Julie Miller’s series apart is that it addresses course issues through an author-created digital package that maintains a consistent voice and notation throughout the program. This consistency--in videos, PowerPoints, Lecture Notes, and Group Activities--coupled with the power of ALEKS and Connect Hosted by ALEKS, ensures that students master the skills necessary to be successful in Precalculus and can carry them through to the calculus sequence.
College Algebra & Trigonometry © 2017
Chapter R: Review of PrerequisitesSection R.1 Sets and the Real Number Line Section R.2 Integer Exponents and Scientific Notation Section R.3 Rational Exponents and Radicals Section R.4 Polynomials and Multiplication of Radicals Problem Recognition Exercises Simplifying Algebraic Expressions Section R.5 Factoring Section R.6 Rational Expressions and More Operations on Radicals Algebra for Calculus
Chapter 1: Equations and InequalitiesSection 1.1 Linear Equations and Rational Equations Section 1.2 Applications with Linear and Rational 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, Compound, and Absolute Value Inequalities Problem Recognition Exercises Recognizing and Solving Equations and Inequalities Equations for Calculus
Chapter 2: Functions and RelationsSection 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 Transformations of Graphs Section 2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions Section 2.8 Algebra of Functions and Function Composition
Chapter 3: Polynomial and Rational FunctionsSection 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 FunctionsSection 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: Trigonometric FunctionsSection 5.1 Angles and Their Measure Section 5.2 Right Triangle Trigonometry Section 5.3 Trigonometric Functions of Any Angle Section 5.4 Trigonometric Functions Defined on the Unit Circle Section 5.5 Graphs of Sine and Cosine Functions Section 5.6 Graphs of Other Trigonometric Functions Problem Recognition Exercises Comparing Graphical Characteristics of Trigonometric Functions Section 5.7 Inverse Trigonometric Functions
Chapter 6: Analytic TrigonometrySection 6.1 Fundamental Trigonometric Identities Section 6.2 Sum and Difference Formulas Section 6.3 Double-Angle and Half-Angle Formulas Section 6.4 Product-to-Sum and Sum-to-Product Formulas Section 6.5 Trigonometric Equations
Chapter 7: Applications of Trigonometric FunctionsSection 7.1 Applications of Right Triangles Section 7.2 The Law of Sines Section 7.3 The Law of Cosines Problem Recognition Exercises Solving Triangles Using a Variety of Tools Section 7.4 Harmonic Motion and Combinations of Trigonometric Functions
Chapter 8: Trigonometry Applied to Rectangular and Polar Coordinate Systems and VectorsSection 8.1 Polar Coordinates Section 8.2 Graphs of Polar Equations Problem Recognition Exercises Comparing Equations in Polar and Rectangular Form Section 8.3 Complex Numbers in Polar Form Section 8.4 Vectors Section 8.5 Dot Product
Chapter 9: Systems of Equations and InequalitiesSection 9.1 Systems of Linear Equations in Two Variables and Applications Section 9.2 Systems of Linear Equations in Three Variables and Applications Section 9.3 Partial Fraction Decomposition Section 9.4 Systems of Nonlinear Equations in Two Variables Section 9.5 Inequalities and Systems of Inequalities in Two Variables Problem Recognition Exercises Equations and Inequalities in Two Variables Section 9.6 Linear Programming
Chapter 10: Matrices and Determinants and ApplicationsSection 10.1 Solving Systems of Linear Equations Using Matrices Section 10.2 Inconsistent Systems and Dependent Equations Section 10.3 Operations on Matrices Section 10.4 Inverse Matrices and Matrix Equations Section 10.5 Determinants and Cramer's Rule Problem Recognition Exercises Using Multiple Methods to Solve Systems of Linear Equations
Chapter 11: Analytic GeometrySection 11.1 The Ellipse Section 11.2 The Hyperbola Section 11.3 The Parabola Problem Recognition Exercises Comparing Equations of Conic Sections and General Equation Section 11.4 Rotation of Axes Section 11.5 Polar Equations of Conics Section 11.6 Plane Curves and Parametric Equations
Chapter 12: Sequences, Series, Induction, and ProbabilitySection 12.1 Sequences and Series Section 12.2 Arithmetic Sequences and Series Section 12.3 Geometric Sequences and Series Problem Recognition Exercises Comparing Arithmetic and Geometric Sequences and Series Section 12.4 Mathematical Induction Section 12.5 The Binomial Theorem Section 12.6 Principles of Counting Section 12.7 Introduction to Probability
Online: Section A-1 Proof of the Binomial Theorem A-2 Definition of Conics From a Fixed Point and Fixed Line
By prompting students to engage with key concepts, while continually adapting to their individual needs, Connect activates learning and empowers students to take control resulting in better grades and increased retention rates. Proven online content integrates seamlessly with our adaptive technology, and helps build student confidence outside of the classroom.
Available within Connect, SmartBook 2.0 is an adaptive learning solution that provides personalized learning to individual student needs, continually adapting to pinpoint knowledge gaps and focus learning on concepts requiring additional study. SmartBook 2.0 fosters more productive learning, taking the guesswork out of what to study, and helps students better prepare for class. With the ReadAnywhere mobile app, students can now read and complete SmartBook 2.0 assignments both online and off-line. For instructors, SmartBook 2.0 provides more granular control over assignments with content selection now available at the concept level. SmartBook 2.0 also includes advanced reporting features that enable instructors to track student progress with actionable insights that guide teaching strategies and advanced instruction, for a more dynamic class experience.
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