PRE-CALCULUS COURSE
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The Pre-calculus course contains 85 self-grading microlearning lessons that work instantly inside your Learning Management System (LMS).

Pre-calculus 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 two-semester pre-calculus course. The content is organized by clearly-defined learning objectives and includes worked examples that demonstrate problem-solving 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
  • Double-Angle, Half-Angle, and Reduction Formulas
  • Sum-to-Product and Product-to-Sum Formulas
  • Solving Trigonometric Equations
  • Modeling with Trigonometric Equations
  • Final Assessment
  • Non-right Triangles: Law of Sines
  • Non-right 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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