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

Index A

abscissa - Cartesian coordinate

absolute

• value(1.1.2.2)
• maximum, minimum

algebraic function definition(1.2.5.2)

analytical plane geometry

• definition
• straight line(1.2.5.12)
• conic sections(1.2.5.22)

angle

• planar
• between 2 lines(1.2.5.16)

approximation of a function (single variable)

• first(1.3.5.1), second(1.3.5.3) , N^th or Taylor's polynomial(1.3.5.4)
• Taylor's theorem and the remainder(of Lagrange) (1.3.5.5-6), Maclaurin's polynomial
• evaluation of a function(1.3.5.7), expx (1.3.5.11), ln(1+x) (1.3.5.16)

approximation of a function (many variables)

• first approximation
• second approximation
• Taylor series

arc integration of the length

arc - sine, cosine, tangent, sinh, cosh, tanh

area

• approximated by small intervals, under a curve
• definite integral
• enclosed by a loop
• polar coordinates
• surface of revolution
• as a double integral

argument of a function

asymptote for x→±$\infty$ (1.3.4.17), for f(x)→±$\infty$ (1.3.4.26), examples