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

Index S

saddle

• definition (3.1.1.11)
• display (3.1.1.20)
• sufficient condition

scale of

• units
• cartesian coordinates 2 dimensional and 3 dimensional
• functions and inverse, lan and exponent, functions and derivatives (Rule 4)

sequence

• definition, convergence, limit
• divergence, divergence to $\infty$
• rules for limit
• examples of limit

series

• definition, convergence, partial sum, rules
• D'Alambert's test for convergence(1.3.5.22), power series
• operations with power series

sign of a derivative

significant figures

slope of a

• line
• function

sphere

• volume of revolution(2.2.4.11-12), triple integral(3.2.4.21)
• level lines (3.1.1.9)
• moment of inertia solid sphere(3.2.4.23), spherical surface(3.2.4.48)
• suface area (3.2.4.46)

spherical coordinates

• definition(3.1.4.20-22)
• orthogonality, triple integrals
• surface integrals

stationary point

• one variable, classification
• many variables
• classification 2 variables, and more classes
• Lagrange multipliers

straight line (2 dimensions)

• expression(1.2.5.12), slope(1.2.5.15), y-intercept
• angle between 2 lines(1.2.5.16)

straight line (many dimensions) parametric presentation

surface integral

• cylindrical and spherical coordinates

surface of revolution definition, area