Chapter 2: Review of one-variable integration
Indefinite Integrals: differentiate
F ( x)
integrate
f ( x) = F '( x)
y = f ( x)
F ( x) = f ( x)dx
b
Definite Integrals:
f ( x)dx
a
Area under the curve
Chapter 3: Multivariate Calculus Only the Basics
Derivative of a single variable function:
df f ( x + x) f ( x) = f '( x) lim x 0 dx x
Derivatives of a two-variable function:
f ( x, y ) f ( x + x , y