Trig/PreCalculus


NOTATION AND NOTIONS

Number Sets,Symbols,Set Notation
Logic - Arguments,Truth Tables,Math Induction
Harmonic Mean and Weighted Averages
Factorials, Factoring, Binomial Theorem, Divisibility
Number Bases
Finger Multiplication
Problems & Solutions

FUNCTION THEORY

Definition of a Function / Function List
Function Vocabulary
Composite Functions
Translation & Change of Scale
Inverse Functions
Exponents & Exponential Functions
How did I get 'e' dollars in my bank account?
Logs & Logarithmic Functions

Functions - Problems & Solutions
Function Terminology
Composite Functions
Translation & Change of Scale
CHART: Translation,Scaling,Reflections,Absolute Value
Inverse Functions
Exponential Expressions, Equations & Functions
Log Expressions, Equations & Functions
College Algebra Film(19) - Logarithms

INEQUALITIES AND ABSOLUTE VALUE

Inequality Theorems and Proofs
Absolute Value Functions

Inequalities - Problems & Solutions
Theorems, Polynomial & Rational Inequalities
Inequality Proofs
Absolute Value (Inequalities)
Radical, Log, and Exponent Inequalities

THEORY OF EQUATIONS

Synthetic Division, Factor & Remainder Theorems
Roots & Descartes Rule of Signs
Polynomial Functions
Cubic Equations with Problems
Rational Functions

PARAMETRIC EQUATIONS

Parametric Equations - Problems

VECTORS

Dot & Cross Products
Vector Equations of Lines & Planes

POLAR GRAPHS

Basic Graphs

PARTIAL FRACTIONS

Linear Factors - Distinct & Repeated
Quadratic Factors - Distinct & Repeated
Problems & Answers

SEQUENCES AND SERIES

Sequences - Arithmetic & Geometric
Limits of Sequences
Infinite Series
Calkins' Series Problem 1.0
Calkins' Series Problem 2.0

MATRICES

Addition & Matrix Multiplication
Transformations & Linear Systems
Matrix - Problems & Solutions
Determinants
Determinant - Problems & Solutions

RATES OF CHANGE - THE DERIVATIVE

Kinematics Notes (IE warning! pdf file: right click and 'save target as' to your computer! Firefox is better!)
Average Rate of Change - Secant Slope
The Derivative - Tangent Slope
Avg Velocity vs Avg Speed


Trigonometry


Ryan's Trig Identity Problems
Jill's Angular Velocity Notes


Math Puzzles


AMC 2007 Questions
AMC 2007 - Mr R's Solutions
Official Solutions 1, 2, 3, 4


Algebra 2


Algebra & Trigonometry - Structure & Method Book 2

Calculator Worksheet 1.0
Factoring Trinomials - Type C (Calkins Method)


Geometry


Right Triangle Problems

Dave's Problem #1