Precalculus

GreeneMath.com Presents | 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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Precalculus

Functions & Graphs

#1: Rectangular Coordinate Plane

#2: Plotting Complex Numbers

#3: Midpoint Formula

#4: Distance Formula

#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

#11: Domain & Range

#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

#22: Reflections

#23: Horizontal & Vertical Shifts

#24: Even & Odd Functions

#25: Operations on Functions

#26: Difference Quotient

#27: Composition of Functions

#28: Combining Graphing Transformations

Polynomial Functions

#29: Vertex Form of a Parabola

#30: Graphing Parabolas

#31: Remainder Theorem

#32: The Factor Theorem

#33: The Rational Zeros Theorem

#34: The Fundamental Theorem of Algebra

#35: Conjugate Zeros Theorem

#36: Descartes' Rule of Signs

#37: Intermediate Value Theorem

#38: Zeros of Polynomial Functions

#39: Graphing Polynomial Functions

#40: Solving Polynomial Inequalities

Rational Functions

#41: Graphing Rational Functions

#42: Variation

Exponential Functions

#43: Horizontal Line Test

#44: One-to-One Functions Algebraic Method

#45: Function Inverses

#46: Prove That Two Functions are Inverses

#47: Function Inverse with a Restricted Domain

#48: Graphing Exponential Functions

#49: Solving Exponential Equations with Like Bases

#50: Compound Interest

#51: Continuous Compound Interest

#52: Logarithmic Functions

#53: Properties of Logarithms

#54: Inverse of an Exponential / Logarithmic Function

#55: Change of Base Formula

#56: Solving Exponential Equations with Logarithms

#57: Solving Logarithmic Equations

#58: Solving Exponential and Logarithmic Inequalities

#59: Exponential Growth and Decay Problems

Systems of Equations

#60: Solving Linear Systems in Two Variables

#61: Solving Linear Systems in Three Variables

#62: Finding the Equation of a Parabola

#63: Applications of Linear Systems

#64: Partial Fraction Decomposition Linear Factors

#65: Partial Fraction Decomposition Quadratic Factors

Matrices

#66: Gauss-Jordan Two Variables

#67: Gauss-Jordan Three Variables

#68: Gauss-Jordan Four Variables

#69: Introduction to Matrices

#70: Matrix Addition & Subtraction

#71: Scalar Multiplication

#72: Matrix Multiplication

#73: Inverse of a Matrix