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
Trigonometric Identities
Trigonometric Equations
Law of Sines/Cosines
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
Trigonometric Identities
Trigonometric Equations
Law of Sines/Cosines
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: Inverse of an Exponential / Logarithmic Function
#50: Change of Base Formula
#51: Solving Exponential Equations with Logarithms
#52: Solving Logarithmic Equations
#53: Solving Exponential and Logarithmic Inequalities
#54: Exponential Growth and Decay Problems
Systems of Equations
#55: Solving Linear Systems in Two Variables
#56: Solving Linear Systems in Three Variables
#57: Finding the Equation of a Parabola
#58: Applications of Linear Systems
#59: Partial Fraction Decomposition Linear Factors
#60: Partial Fraction Decomposition Quadratic Factors
Matrices
#61: Gauss-Jordan Two Variables
#62: Gauss-Jordan Three Variables
#63: Gauss-Jordan Four Variables
#64: Introduction to Matrices
#65: Matrix Addition & Subtraction
#66: Scalar Multiplication
#67: Matrix Multiplication
#68: Inverse of a Matrix
#70: Determinants Laplace Expansion
#71: Determinants Triangular Form
#72: Transpose of a Matrix
#73: Adjugate of a Matrix
#74: Inverse Adjugate & Determinant Method
#75: Cramer's Rule 2 x 2
#76: Cramer's Rule 3 x 3
#77: Area of a Triangle (Determinants)
#78: Collinear Points (Determinants)
#79: Equation of a Line (Determinants)
Analytic Geometry
#80: Horizontal Parabolas
#81: Conic Sections: The Parabola
#82: Conic Sections: The Ellipse
#83: Conic Sections: The Hyperbola
#84: Solving Nonlinear Systems of Equations
#85: Solving Nonlinear Systems of Inequalities
Sequences & Series
#86: Introduction to Sequences
#87: Introduction to Series
#88: Arithmetic Sequences & Series
#89: Geometric Sequences & Series
Binomial Theorem
Counting & Probability
#92: The Basics of Probability
Trigonometric Functions
#93: Angles in Trigonometry
#94: Degrees, Minutes, & Seconds
#95: Coterminal Angles
#96: Angle Relationships & Similar Triangles
#97: Trigonometric Functions
#98: Reciprocal Identities
#99: Pythagorean & Quotient Identities
Right Triangles
#100: Trigonometric Function Values of Acute Angles
#101: Trigonometric Function Values of Non-Acute Angles
#102: Estimating Trigonometric Function Values
#103: Solving Right Triangles
Unit Circle
#105: Arc Length on a Circle
#107: Linear & Angular Speed
Graphing Circular Functions
#108: Graphing Sine and Cosine
#109: Graphing Tangent and Cotangent
#110: Graphing Secant and Cosecant
Trigonometric Identities
#111: Fundamental Identities
#112: Verifying Trigonometric Identities
#113: Sum & Difference Identities (cos)
#114: Sum & Difference Identities (sin & tan)
#115: Double-Angle Identities
#116: Half-Angle Identities
Trigonometric Equations
#117: Inverse Circular Functions
#118: Trigonometric Equations I
#119: Trigonometric Equations II
#120: Trigonometric Equations III
#121: Trigonometric Equations IV
#122: Trigonometric Equations V
#123: Equations (Inverse Trigonometric Functions)
#124: Solving Trigonometric Inequalities
Laws of Sines/Cosines
#125: Law of Sines (Oblique Triangles)
#126: Law of Sines (Ambiguous Case)
Vectors
#128: Introduction to Vectors (Magnitude & Direction Angle)
#129: Operations with Vectors
#130: Vectors - Dot Product
Complex Numbers
#131: Review of Complex Numbers
#132: Polar Form of Complex Numbers
#133: The Product & Quotient Theorems
#134: De Moivre's Theorem
Polar Equations
#135: Polar Coordinates
#136: Distance Between Polar Coordinates
#137: Polar Equations I: Lines in Polar Form
#138: Polar Equations II: Circles in Polar Form
#139: Polar Equations III (Graphs of Polar Equations)
#140: Lines in Trigonometry
#141: Polar Equations/Rotation of Conics
Parametric Equations
#142: Parametric Equations
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