Basic Algebra/Precalculus
Precalculus
Example of Arithmetic Sequence
Geometric Proof of Integer Sum Formula
Example of Proof By Induction 1: Sum 3n+2 = n(3n+7)/2
Example of Proof by Induction 2: 3 divides 5^n-2^n
Example of Proof by Induction 3: n! <= n^n
Example of Proof by Induction 4: Increasing Sequence (Hard)
Example of a Piecewise-Defined Function
Domain of sqrt(x+1) - 1/sqrt(9-x^2)
Example of Composition of Functions
Inverse Function for f(x) = (x-2)/(x+2)
Using Synthetic Division to Evaluate a Polynomial
Fast Factorization of Polynomial
Complex Conjugate Roots of a Real Polynomial
Factoring 3x^4-2x^3+3x-2 Over The Complex Numbers
Domain and Range of 1/(x^2-2x-8)
Partial Fraction Expansion of (x^4+x^3+1)/(x(x^2+1)^2)
Domain of ln((x+1)/(x-1)) +ln(x-1)-ln(x+1)
Evaluation of 3ln(2e^2) + 2ln(3/e) - ln(72e)
Solving an Exponential Equation
Example of Exponential Growth - Two Populations
Examples of Values of Trig Functions
Examples of Inverse Trig Evaluations
Graph of y = 2 sec(pi x - pi/3)
Example of Converting to Polar Coordinates
Example of Graph of Polar Equation
Example of Proof of Trig Identity
Example of Double Angle Formulas
Trig Values for Multiples of pi/5