Course Notes for Math 250B
Course Notes for Math 250B
Textbook
Larson and Edwards, Calculus, 11th edition
Section 11.6 Surfaces in Space
Section 13.1 Functions of Several Variables
Section 13.2 Limits and Continuity
Section 13.3 Partial Derivatives
Section 13.4 Differentials
Section 13.5 Multivariable Chain Rule
Section 13.6 Directional Derivatives and Gradients
Directional Derivative Formula
Section 13.7 Tangent Planes and Normal Lines
Section 13.8 Extrema of Functions of Two Variables
Section 13.9 Applications of Extrema
Section 13.10 Lagrange Multipliers
Sections 14.1-14.2 Double Integrals
Section 14.3 Change of Variables: Polar Coordinates
Double integrals in polar coordinates (1)
Double integrals in polar coordinates (2)
Section 14.4 Center of Mass and Moments of Inertia
Section 14.5 Surface Area
Section 14.6 Triple Integrals and Applications
Section 14.7 Triple Integrals in Other Coordinates
Section 14.8 Change of Variables: Jacobians
Section 15.1 Vector Fields
Section 15.2 Line Integrals
Section 15.3 Conservative Vector Fields and Path Independence
Section 15.4 Green's Theorem
Section 15.5 Parametric Surfaces
Section 15.6 Surface Integrals
Section 15.7 Divergence Theorem
Section 15.8 Stokes' Theorem