Math Animated™
Mathematical Introduction for Physics and Engineering
by Samuel Dagan (Copyright © 2007-2020)

Index F

factorial of a non-negative integer

foci

• parabola
• ellipse(1.2.5.38)
• hyperbola(1.2.5.42)

folium of Descartes

• implicit
• parametric(exercise 4)
• asymptote(1.3.4.24)
• area of the loop(2.2.2.7)

function (one variable)

• variables, definition(1.2.1.1), argument, domain, single-valued, multiple-valued
• limit, continuity
• monotonic increasing and decreasing (1.2.2.1-2), bounded, maximum and minimum, parity: even and odd (1.2.2.3), root
• inverse
• explicit, implicit(1.2.5.1)
• parametric(1.2.5.7)
• derivative(1.3.1.1), increment, differentiable, slope, tangent-line(1.3.1.4)
• mean value
• approximation → approximation of a function (single variable)
• function of functions

function (many variables)

• basic notions, domain, region
• level lines
• saddle point → saddle
• limit, continuity, discontinuity
• display (2 variables)
• implicit
• approximation → approximation of a function (many variables)