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

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

#69: Matrix Equations

#70: Determinants Laplace Expansion

#71: Determinants Triangular Form

#72: Transpose of a Matrix

#73: Adjugate of a Matrix

#74: Inverse Adjugate & Determinant Method