User:Igny/calculus 1

Introduction

 * function (mathematics)
 * domain (mathematics)
 * range (mathematics)
 * graph of a function
 * examples
 * constant function
 * linear function
 * quadratic polynomial
 * polynomial
 * power function
 * n-th root
 * trigonometric functions
 * sine, cosine, tangent
 * exponential function
 * piecewise functions
 * absolute value
 * inverse functions
 * logarithmic function
 * natural logarithm
 * inverse trigonometric functions
 * some applications
 * exponential growth and exponential decay

Limits

 * limit
 * one-sided limits
 * when limits do not exist
 * limit laws
 * squeeze theorem
 * 0/0 uncertainty, cancellation of the division by zero
 * factorization of polynomials
 * square roots and conjugates
 * $$\lim_{x\to 0} \frac{\sin x}{x}$$
 * limits at infinity and infinite limits
 * Continuous function
 * discontinuity (mathematics)