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 theorem, 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
Unit Circle
Graphing Circular Functions
Harmonic Motion
Trigonometric Identities
Trigonometric Equations
Applications of Trigonometry
Vectors
Complex Numbers
Polar Equations
Parametric Equations
Sections:
Functions & Graphs
Polynomial Functions
Exponential/Log Functions
Systems of Equations
Matrices
Analytic Geometry
Sequences & Series
Binomial Theorem
Counting & Probability
Trigonometric Functions
Right Triangles
Unit Circle
Graphing Circular Functions
Harmonic Motion
Trigonometric Identities
Trigonometric Equations
Applications of Trigonometry
Vectors
Complex Numbers
Polar Equations
Parametric Equations
Functions & Graphs
#1: Rectangular Coordinate Plane
#2: Plotting Complex Numbers
#5: Distance & Midpoint Complex Plane
#6: Absolute Value of a Complex Number
#7: Vertices of a Right Triangle (Distance Formula)
#8: Collinear Points (Distance Formula)
#9: Equation of a Circle
#10: Relations & Functions
#12: Vertical Line Test
#13: Function Notation
#14: Graphing Linear Functions
#15: The Slope of a Line
#16: Equations of Lines
#17: Parallel & Perpendicular Lines
#18: Graphs of Parent Functions
#19: Piecewise-Defined Functions
#20: Increasing, Decreasing, & Constant Intervals
#21: Stretch & Compression
#23: Horizontal & Vertical Shifts
#24: Even & Odd Functions
#25: Operations on Functions
#26: Difference Quotient
#27: Composition of Functions
Polynomial Functions
#28: Vertex Form of a Parabola
#29: Graphing Parabolas
#30: Remainder Theorem
#31: The Factor Theorem
#32: The Rational Zeros Theorem
#33: The Fundamental Theorem of Algebra
#34: Conjugate Zeros Theorem
#35: Descartes' Rule of Signs
#36: Intermediate Value Theorem
#37: Zeros of Polynomial Functions
Exponential Functions
#38: Horizontal Line Test
#39: One-to-One Functions Algebraic Method
#40: Function Inverses
#41: Prove That Two Functions are Inverses
#42: Function Inverse with a Restricted Domain
#43: Graphing Exponential Functions
#44: Solving Exponential Equations with Like Bases
#45: Compound Interest
#46: Continuous Compound Interest
#47: Logarithmic Functions
#48: Properties of Logarithms
#49: Special Properties of Logarithms
#50: Change of Base Formula
#51: Solving Exponential Equations with Logarithms
#52: Solving Logarithmic Equations
Systems of Equations
#53: Solving Linear Systems in Two Variables
#54: Solving Linear Systems in Three Variables
#55: Finding the Equation of a Parabola
#56: Applications of Linear Systems
#57: Partial Fraction Decomposition Linear Factors
#58: Partial Fraction Decomposition Quadratic Factors
Matrices
#59: Gauss-Jordan Two Variables
#60: Gauss-Jordan Three Variables
#61: Gauss-Jordan Four Variables
#62: Introduction to Matrices
#63: Matrix Addition & Subtraction
#64: Scalar Multiplication
#65: Matrix Multiplication
#66: Inverse of a Matrix
#68: Determinants Laplace Expansion
#69: Determinants Triangular Form
#70: Transpose of a Matrix
#71: Adjugate of a Matrix
#72: Inverse Adjugate & Determinant Method
#73: Cramer's Rule 2 x 2
#74: Cramer's Rule 3 x 3
#75: Area of a Triangle (Determinants)
#76: Collinear Points (Determinants)
#77: Equation of a Line (Determinants)
Analytic Geometry
#78: Horizontal Parabolas
#79: Conic Sections: The Parabola
#80: Conic Sections: The Ellipse
#81: Conic Sections: The Hyperbola
#82: Solving Nonlinear Systems of Equations
#83: Solving Nonlinear Systems of Inequalities
Sequences & Series
#84: Introduction to Sequences
#85: Introduction to Series
#86: Arithmetic Sequences & Series
#87: Geometric Sequences & Series
Binomial Theorem
Counting & Probability
#90: The Basics of Probability
Trigonometric Functions
#91: Angles in Trigonometry
#92: Degrees, Minutes, & Seconds
#93: Coterminal Angles
#94: Angle Relationships & Similar Triangles
#95: Trigonometric Functions
#96: Reciprocal Identities
#97: Pythagorean & Quotient Identities
Right Triangles
#98: Trigonometric Function Values of Acute Angles
#99: Trigonometric Function Values of Non-Acute Angles
#100: Estimating Trigonometric Function Values
#101: Solving Right Triangles
Unit Circle
#103: Arc Length on a Circle
#105: Linear & Angular Speed
Graphing Circular Functions
#106: Graphing Sine and Cosine
#107: Graphing Reciprocal Functions
Harmonic Motion
Trigonometric Identities
#109: Fundamental Identities
#110: Verifying Trigonometric Identities
#111: Sum & Difference Identities (cos)
#112: Sum & Difference Identities (sin & tan)
#113: Double-Angle Identities
#114: Half-Angle Identities
Trigonometric Equations
#115: Inverse Circular Functions
#116: Trigonometric Equations I
#117: Trigonometric Equations II
#118: Equations (Inverse Trigonometric Functions)
Applications of Trigonometry
#119: Law of Sines (Oblique Triangles)
#120: Law of Sines (Ambiguous Case)
Vectors
#123: Operations with Vectors
#124: Applications of Vectors
Complex Numbers
#126: Polar Form of Complex Numbers
#127: The Product & Quotient Theorems
#128: De Moivre's Theorem
Polar Equations
Parametric Equations
#130: Parametric Equations
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