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

Index E

elementary functions

• trigonometric
• inverse-trigonometric
• exponential
• logarithm
• hyperbolic
• inverse-hyperbolic
• algebraic(1.2.5.2)
• differentiation(of)

ellipse

• canonical(1.2.5.36), parametric(1.2.5.37), foci(1.2.5.38), circle
• area(exercise 2)
• focus at the origin (2.2.3.40)
• elliptic disc moment of inertia (exercise 3)

ellipsoid

• of revolution, cigar (2.2.4.11-12), lentil (2.2.4.15)
• approximated (3.1.3.20-22)
• volume by double integral(3.2.1.24-26), simplified(3.2.3.14-16), triple(3.2.4.3-4)
• limits for integration(3.2.2.4)
• moment of inertia (exercise 3)

energy

• conservation, kinetic(2.2.2.15), potential(2.2.2.16)
• constant gravitation(2.2.2.19)
• simple harmonic motion (exercise 4)

even parity(1.2.2.3)

explicit functions

exponent

• definition
• Maclaurin polynomial(1.3.5.9), remainder(1.3.5.10), power expansion(1.3.5.26)

exponential function

• base, natural base(1.2.4.2), exponent(1.2.4.3)
• physical dimensions