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

Index P

parabola

• canonical form(1.2.5.23), directrix and focus
• focus at the origin(1.2.5.31)
• length of arc of parabola (2.2.4.3-5)

paraboloid

• of revolution (2.2.4.18)
• elliptic (3.1.2.40)
• hyperbolic (3.1.1.11), (3.1.1.20)

parametric function

• definition
• differentiation
• integration

parity

• even and odd
• of a derivative
• of an indefinite integral

partial derivative

• definition, continuity
• function of functions
• high order
• physical dimensions (3.1.3.12)

permutation

• cyclic

physical dimensions

• definition and rules
• exponent
• logarithm
• derivative
• integral
• multivariable function
• partial derivatives (3.1.3.12)
• transformation
• Jacobian(3.1.7.8)

plane in three dimensions (3.1.2.36)

points - many variables

• stationary

points - single variable

• stationary: maxi(mini)mum, inflection
• inflection
• infinite derivative: maxi(mini)mum, inflection

polar coordinates

• definition
• integration (2.2.3.36)
• as transformation(3.1.4.14-16)
• orthogonality, double integrals

polynomial

• definition(1.2.2.6)
• Taylor's, Maclaurin's
• division(of polynomials)

presentation of number decimal, binary, hexadecimal

proof by

• contradiction
• induction

pyramid

• rectangular definition(3.2.2.5-9), integration (3.2.2.10-12)
• general, conical shape volume(3.2.2.14-16), centroid(3.2.2.19-20)
• rectangular moment of inertia(3.2.2.31)