PRECALCULUS COURSE
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The Precalculus course contains 85 selfgrading microlearning lessons that work instantly inside your Learning Management System (LMS).
Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive course that covers more ground than a typical one or twosemester precalculus course. The content is organized by clearlydefined learning objectives and includes worked examples that demonstrate problemsolving approaches in an accessible way.
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Functions and Function Notation

Domain and Range

Rates of Change and Behavior of Graphs

Composition of Functions

Transformation of Functions

Absolute Value Functions

Inverse Functions
 Final Assessment

Linear Functions

Graphs of Linear Functions

Modeling with Linear Functions

Fitting Linear Models to Data
 Final Assessment

Complex Numbers

Quadratic Functions

Power Functions and Polynomial Functions

Graphs of Polynomial Functions

Dividing Polynomials

Zeros of Polynomial Functions

Rational Functions

Inverses and Radical Functions

Modeling Using Variation
 Final Assessment

Exponential Functions

Graphs of Exponential Functions

Logarithmic Functions

Graphs of Logarithmic Functions

Logarithmic Properties

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Fitting Exponential Models to Data
 Final Assessment

Angles

Unit Circle: Sine and Cosine Functions

The Other Trigonometric Functions

Right Triangle Trigonometry
 Final Assessment

Graphs of the Sine and Cosine Functions

Graphs of the Other Trigonometric Functions

Inverse Trigonometric Functions
 Final Assessment

Solving Trigonometric Equations with Identities

Sum and Difference Identities

DoubleAngle, HalfAngle, and Reduction Formulas

SumtoProduct and ProducttoSum Formulas

Solving Trigonometric Equations

Modeling with Trigonometric Equations
 Final Assessment

Nonright Triangles: Law of Sines

Nonright Triangles: Law of Cosines

Polar Coordinates

Polar Coordinates: Graphs

Polar Form of Complex Numbers

Parametric Equations

Parametric Equations: Graphs

Vectors
 Final Assessment

Systems of Linear Equations: Two Variables

Systems of Linear Equations: Three Variables

Systems of Nonlinear Equations and Inequalities: Two Variables

Partial Fractions

Matrices and Matrix Operations

Solving Systems with Gaussian Elimination

Solving Systems with Inverses

Solving Systems with Cramer’s Rule
 Final Assessment
 The Ellipse
 The Hyperbola
 The Parabola
 Rotation of Axes
 Conic Sections in Polar Coordinates
 Final Assessment

Sequences and Their Notations

Arithmetic Sequences

Geometric Sequences

Series and Their Notations

Counting Principles

Binomial Theorem

Probability
 Final Assessment
 Finding Limits: Numerical and Graphical Approaches
 Finding Limits: Properties of Limits
 Continuity
 Derivatives

Final Assessment
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