San Antonio, Texas

Fall 2020 - Calculus III

Resources

Handouts
Syllabus
Quadric Surfaces
Tabular Integration by Parts

Lectures
R2 and R3
Vectors in R2 and R3
The Dot Product
The Cross Product
Lines and Planes in R3
Cylinders and Quadric Surfaces
Functions of Several Variables
Limits and Continuity in R2
Partial Derivatives
Differentiability
Directional Derivatives
The Chain Rule
Optimization
Global Extrema
Lagrange Multipliers
Rectangular Double Integrals
General Double Integrals
Integration in Polar Coordinates
Change of Variables
in Double Integrals
Triple Integrals
Cylindrical and Spherical Coordinates
Parametric Curves
Derivatives of Vector Functions
Line Integrals
Vector Fields
Conservative Vector Functions
Green's Theorem

Maple Files
Quadric Surfaces
A Few Graphs
Contour Maps
2D Limit Examples
Partial Derivatives
Directional Derivatives
Contours and Gradients
Constrained Optimization
2D Riemann Sums
Solids of Types 1, 2, 3
Triple Integral Examples
Cylindrical Integrals
Spherical Regions
Parametric Curves

Back


Questions and comments concerning this page are to be addressed to rdaileda at trinity dot edu.