ALGEBRA & TRIGONOMETRY COURSE
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The Algebra and Trigonometry course contains 91 selfgrading microlearning lessons that work instantly inside your Learning Management System (LMS).
Written and reviewed by a team of highly experienced instructors, Algebra and Trigonometry provides a comprehensive and multilayered exploration of algebraic principles. It is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the course meets the needs of a variety of programs. Algebra and Trigonometry guides and supports students with differing levels of preparation and experience with mathematics. Ideas are presented as clearly as possible, and progress to more complex understandings with considerable reinforcement along the way. A wealth of examples—usually several per lesson—offer detailed, conceptual explanations, in order to build a strong, cumulative foundation in the material before asking them to apply what they’ve learned.
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Real Numbers: Algebra Essentials

Exponents and Scientific Notation

Radicals and Rational Exponents

Polynomials

Factoring Polynomials

Rational Expressions
 Final Assessment

The Rectangular Coordinate Systems and Graphs

Linear Equations in One Variable

Models and Applications

Complex Numbers

Quadratic Equations

Other Types of Equations

Linear Inequalities and Absolute Value Inequalities
 Final Assessment

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

Modeling with Linear Functions

Fitting Linear Models to Data
 Final Assessment

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

Right Triangle Trigonometry

Unit Circle

The Other Trigonometric Functions
 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
 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
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