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
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Domain and Range
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Rates of Change and Behavior of Graphs
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Composition of Functions
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Transformation of Functions
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Absolute Value Functions
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Inverse Functions
- Final Assessment
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Linear Functions
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Graphs of Linear Functions
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Modeling with Linear Functions
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Fitting Linear Models to Data
- Final Assessment
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Complex Numbers
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Quadratic Functions
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Power Functions and Polynomial Functions
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Graphs of Polynomial Functions
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Dividing Polynomials
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Zeros of Polynomial Functions
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Rational Functions
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Inverses and Radical Functions
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Modeling Using Variation
- Final Assessment
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Exponential Functions
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Graphs of Exponential Functions
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Logarithmic Functions
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Graphs of Logarithmic Functions
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Logarithmic Properties
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Exponential and Logarithmic Equations
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Exponential and Logarithmic Models
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Fitting Exponential Models to Data
- Final Assessment
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Angles
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Unit Circle: Sine and Cosine Functions
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The Other Trigonometric Functions
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Right Triangle Trigonometry
- Final Assessment
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Graphs of the Sine and Cosine Functions
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Graphs of the Other Trigonometric Functions
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Inverse Trigonometric Functions
- Final Assessment
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Solving Trigonometric Equations with Identities
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Sum and Difference Identities
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Double-Angle, Half-Angle, and Reduction Formulas
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Sum-to-Product and Product-to-Sum Formulas
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Solving Trigonometric Equations
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Modeling with Trigonometric Equations
- Final Assessment
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Non-right Triangles: Law of Sines
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Non-right Triangles: Law of Cosines
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Polar Coordinates
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Polar Coordinates: Graphs
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Polar Form of Complex Numbers
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Parametric Equations
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Parametric Equations: Graphs
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Vectors
- Final Assessment
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Systems of Linear Equations: Two Variables
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Systems of Linear Equations: Three Variables
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Systems of Nonlinear Equations and Inequalities: Two Variables
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Partial Fractions
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Matrices and Matrix Operations
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Solving Systems with Gaussian Elimination
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Solving Systems with Inverses
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Solving Systems with Cramer’s Rule
- Final Assessment
- The Ellipse
- The Hyperbola
- The Parabola
- Rotation of Axes
- Conic Sections in Polar Coordinates
- Final Assessment
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Sequences and Their Notations
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Arithmetic Sequences
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Geometric Sequences
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Series and Their Notations
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Counting Principles
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Binomial Theorem
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Probability
- Final Assessment
- Finding Limits: Numerical and Graphical Approaches
- Finding Limits: Properties of Limits
- Continuity
- Derivatives
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Final Assessment
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