GreeneMath | Precalculus
In this course, you will master precalculus using GreeneMath.com's three step system. These concepts are fundamental to success in Calculus. In this course, we will cover functions & transformations, polynomial functions, exponential & logarithmic functions, systems of equations, matrices & determinants, analytic geometry & nonlinear systems, sequences & series, the binomial theorm, counting theory, and probability word problems. Additionally, we will learn how to work with the six trigonometric functions.
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Functions & Graphs
Polynomial Functions
Exponential/Log Functions
Systems of Equations
Matrices
Analytic Geometry
Sequences & Series
Binomial Theorem
Counting & Probability
Trigonometric Functions
Right Triangles
Sections:
Functions & Graphs
Polynomial Functions
Exponential/Log Functions
Systems of Equations
Matrices
Analytic Geometry
Sequences & Series
Binomial Theorem
Counting & Probability
Trigonometric Functions
Right Triangles
Functions & Graphs
Lesson #1: Rectangular Coordinate Plane
Lesson #2: Plotting Complex Numbers
Lesson #3: Midpoint Formula
Lesson #4: Distance Formula
Lesson #5: Distance & Midpoint Complex Plane
Lesson #6: Absolute Value of a Complex Number
Lesson #7: Vertices of a Right Triangle (Distance Formula)
Lesson #8: Collinear Points (Distance Formula)
Lesson #9: Equation of a Circle
Lesson #10: Relations & Functions
Lesson #11: Domain & Range
Lesson #12: Vertical Line Test
Lesson #13: Function Notation
Lesson #14: Graphing Linear Functions
Lesson #15: The Slope of a Line
Lesson #16: Equations of Lines
Lesson #17: Parallel & Perpendicular Lines
Lesson #18: Graphs of Parent Functions
Lesson #19: Piecewise-Defined Functions
Lesson #20: Increasing, Decreasing, & Constant Intervals
Lesson #21: Stretch & Compression
Lesson #22: Reflections
Lesson #23: Horizontal & Vertical Shifts
Lesson #24: Even & Odd Functions
Lesson #25: Operations on Functions
Lesson #26: Difference Quotient
Lesson #27: Composition of Functions
Polynomial Functions
Lesson #28: Vertex Form of a Parabola
Lesson #29: Graphing Parabolas
Lesson #30: Remainder Theorem
Lesson #31: The Factor Theorem
Lesson #32: The Rational Zeros Theorem
Lesson #33: The Fundamental Theorem of Algebra
Lesson #34: Conjugate Zeros Theorem
Lesson #35: Descartes' Rule of Signs
Lesson #36: Intermediate Value Theorem
Lesson #37: Zeros of Polynomial Functions
Exponential Functions
Lesson #38: Horizontal Line Test
Lesson #39: One-to-One Functions Algebraic Method
Lesson #40: Function Inverses
Lesson #41: Prove That Two Functions are Inverses
Lesson #42: Function Inverse with a Restricted Domain
Lesson #43: Graphing Exponential Functions
Lesson #44: Solving Exponential Equations with Like Bases
Lesson #45: Compound Interest
Lesson #46: Continuous Compound Interest
Lesson #47: Logarithmic Functions
Lesson #48: Properties of Logarithms
Lesson #49: Special Properties of Logarithms
Lesson #50: Change of Base Formula
Lesson #51: Solving Exponential Equations with Logarithms
Lesson #52: Solving Logarithmic Equations
Systems of Equations
Lesson #53: Solving Linear Systems in Two Variables
Lesson #54: Solving Linear Systems in Three Variables
Lesson #55: Finding the Equation of a Parabola
Lesson #56: Applications of Linear Systems
Lesson #57: Partial Fraction Decomposition Linear Factors
Lesson #58: Partial Fraction Decomposition Quadratic Factors
Matrices
Lesson #59: Gauss-Jordan Two Variables
Lesson #60: Gauss-Jordan Three Variables
Lesson #61: Gauss-Jordan Four Variables
Lesson #62: Introduction to Matrices
Lesson #63: Matrix Addition & Subtraction
Lesson #64: Scalar Multiplication
Lesson #65: Matrix Multiplication
Lesson #66: Inverse of a Matrix
Lesson #67: Matrix Equations
Lesson #68: Determinants Laplace Expansion
Lesson #69: Determinants Triangular Form
Lesson #70: Transpose of a Matrix
Lesson #71: Adjugate of a Matrix
Lesson #72: Inverse Adjugate & Determinant Method
Lesson #73: Cramer's Rule 2 x 2
Lesson #74: Cramer's Rule 3 x 3
Lesson #75: Area of a Triangle (Determinants)
Lesson #76: Collinear Points (Determinants)
Lesson #77: Equation of a Line (Determinants)
Analytic Geometry
Lesson #78: Horizontal Parabolas
Lesson #79: Conic Sections: The Parabola
Lesson #80: Conic Sections: The Ellipse
Lesson #81: Conic Sections: The Hyperbola
Lesson #82: Solving Nonlinear Systems of Equations
Lesson #83: Solving Nonlinear Systems of Inequalities
Sequences & Series
Lesson #84: Introduction to Sequences
Lesson #85: Introduction to Series
Lesson #86: Arithmetic Sequences & Series
Lesson #87: Geometric Sequences & Series
Binomial Theorem
Lesson #88: Binomial Theorem
Counting & Probability
Lesson #89: Counting Theory
Lesson #90: The Basics of Probability
Trigonometric Functions
Lesson #91: Angles in Trigonometry
Lesson #92: Degrees, Minutes, & Seconds
Lesson #93: Coterminal Angles
Lesson #94: Angle Relationships & Similar Triangles
Lesson #95: Trigonometric Functions
Lesson #96: Reciprocal Identities
Lesson #97: Pythagorean & Quotient Identities
Right Triangles
Lesson #98: Trigonometric Function Values of Acute Angles
Lesson #99: Trigonometric Function Values of Non-Acute Angles
Lesson #100: Estimating Trigonometric Function Values
Lesson #200: Final Lesson
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