EXTRAS
Index
Introduction
Reference Material
Chapter 1 Fundamentals
Chapter 2 Functions
Chapter 3 Polynomial and Rational Functions
Chapter 4 Exponential and Logaritmic Functions
Chapter 5 Trignometric Functions of Real Numbers
Chapter 6 Trignometric Functions of Angles
Chapter 7 Analytic Trigonometry
Chapter 8 Systems of Equations and Inequalities
Chapter 9 Topics in Analytic Trigonometry
Chapter 10 Sequences and Serie
Chapter 11 Counting and Probability
Chapter 12 Limits: A Preview of Calculus
Calculus
Introduction
Welcome to Precalculus
Why Mathematics? I
Why Mathematics? II
Why Mathematics? III
Why Mathematics? IV
Learning Math
Mathematics for Aliens
Habits of Mind
Reference Material
MathWorld - the Web's Best Math Resource
Useful Mathematical Symbols
Frequently Used Mathematical Symbols
Proof by Induction
The Greek Alphabet
Sets and Set Notation
Math Symbols I
Math Symbols II
Unit Circle for Trig
Topics in Precalculus
Topics in Precalculus II
Precalculus Lessons
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Chapter 1 Fundamentals
Sets and Counting
John Venn
Augustus De Morgan
Georg Cantor's Theory of Infinite Sets
A Crash Course in the Mathematics Of Infinite Sets
What is a variable?
Linear Functions
Linear Models
Lines
GOOD BOOK
Men of Mathematics
Chapter 2 Functions
Chronology of Least Squares
Carl Frederich Gauss (1777-1855)
Introduction to Functions
Functions and Sets
Function
The Wolfram Function Site
Functions versus Relations
Domain and Range
Graphs of Functions and Equations, and Algebra - Interactive Tutorials
THE FUNCTION INSTITUTE
Definition of a Relation and a Function
Function Basics
Functions from the Numerical and Algebraic Viewpoints
Functions from the Graphical Viewpoint
Function Notation and Terminology
Function Notation and Terminology II
Describing Functions
Quadratic Functions(General Form)
QUADRATIC EQUATIONS
Graphing Quadratic Equations - I
Graphing Quadratic Functions
Quadratic Equations
Graphs of Quadratic Functions
Graphs of Quadratic Functions and Optimization
Inverse Functions
Inverse Functions II
The Graphs of a Function and Its Inverse
Proving functions are inverses
Inverse Functions III
Inverse Functions II
Function Composition
Tutorial on Composition of Functions
Composition of Functions I
GOOD BOOK
Zero: The Biography of a Dangerous Idea
Chapter 3 Polynomial and Rational Functions
Polynomial Functions
THE VOCABULARY OF POLYNOMIAL FUNCTIONS
Graphs of Polynomial Functions
Polynomial Functions II
Solving the Quintic
GOOD BOOK
An Imaginary Tale
Chapter 4 Exponential and Logaritmic Functions
The Creation of Logarithms
Exponential Functions
Exponential Functions II
Exponential Functions III
Graphs of Exponential Functions
Exponential and Logaritmic Functions
A REVIEW OF LOGARITHMS
A Tutorial On Logarithms
Logarithms - I
Logarithm Stuff
GOOD BOOK
e: The Story of a Number
Chapter 5 Trignometric Functions of Real Numbers
An introduction to TRIGONOMETRY
The Trig Functions
Trigonometry Realms
Trigonometry
Trigonometry II
Trigonometry Tutorials and Problems for Self Tests
Trigonometry III
GOOD BOOK
Trigonometric Delights
Chapter 6 Trignometric Functions of Angles
The Trig Functions
Dave's Short Trig Course
An introduction to TRIGONOMETRY
Trigonometry II
Trigonometry Tutorials and Problems for Self Tests
Trigonometry III
The Trig Functions
Trigonometry Realms
Grahing Trig Functions
GOOD BOOK
The Golden Ratio : The Story of PHI, the World's Most Astonishing Number
Chapter 7 Analytic Trigonometry
The Trig Functions
An introduction to TRIGONOMETRY
Trigonometry II
Trigonometry Tutorials and Problems for Self Tests
Trigonometry III
The Trig Functions
Trigonometry Realms
Trig Identities pdf
Verifying Trig Identities
Solving Trig Equations
Vector Addition and Scalar Multiplication
Dot Product of Two Vectors and Applications
GOOD BOOK
Pi: A Biography of the World's Most Mysterious Number
Chapter 8 Systems of Equations and Inequalities
Matrix Algebra
Introduction to Matrix Algebra
Introduction to Matrices
Matrix Addition and Scalar Multiplication
Matrix Multiplication
Matrix Inversion
Input-Output Models
GOOD BOOK
Incompleteness: The Proof and Paradox of Kurt Godel
Chapter 9 Topics in Analytic Trigonometry
Working with vectors
Vectors, Lines and Planes
Vectors
Vector Algebra
Vectors II
Polar Graph Paper
Conic Section Gallery
An Introduction To Conic Sections
Conic Sections
Conic Sections II
Conic Sections III
Conic Sections in Ancient Greece
Conic Sections IV
Conic Sections V
Conic Sections VI
Conic Sections VII
GOOD BOOK
Euclid's Window : The Story of Geometry from Parallel Lines to Hyperspace
Chapter 10 Sequences and Series
Sequences and Series
Sequences and Series II
Visualizing An Infinite Series
Sequences and Series PDF
Sequences and Series III
Sequences and Series Tutorial
Induction PDF
Mathematical Induction
Mathematical Induction II
Mathematical Induction III
GOOD BOOK
To Infinity and Beyond
Chapter 11 Counting and Probability
Counting Principles
Counting PDF
Factorial
GOOD BOOK
The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century
Chapter 12 Limits: A Preview of Calculus
A Preview of Calculus
Variables, Functions, Equations and Graphs
Are You Ready For Calculus?
GOOD BIOGRAPHIES
Isaac Newton: The Last Sorcerer
Carl Friedrich Gauss : Titan of Science
Archimedes and the Door to Science
Georg Cantor
Euler: The Master of Us All
Calculus
The Rise of Calculus
Early Calculus - I (~245KB)
Early Calculus - II (~330KB)
Early Calculus III - The Role of Barrow (~184KB)
The Calculus of Newton and Leibniz (~292KB)
Isaac Newton I
Isaac Newton II
Newton on the Web
Philosophiae Naturalis Principia Mathematica
Newton's Principia Mathematica Online
The Principia
The Law of Universal Gravitation
The Laws of Motion
Gottfried Leibniz I
Gottfried Leibniz II
Edmund Halley
Archimedes
Earliest Use of the Symbols of Calculus
GOOD BOOKS
"Surely You're Joking, Mr. Feynman!": Adventures of a Curious Character
Genius : The Life and Science of Richard Feynman
Galileo's Daughter : A Historical Memoir of Science, Faith, and Love
Einstein : A Life
Last update: May 18, 2005