Multivariable Calculus Activities
See a
sample syllabus
of how we order these materials.
Tips on how to
sequence activities
with lecture and class discussion.
Textbook: We are in the process of writing a
vector calculus textbook
that reflects the way we teach the subject, and which includes
multivariable calculus
.
Double Integrals
The Cylinder
Curvilinear Coordinates
The Tetrahedron
Lines and Planes
Partial Derivatives
Climbing a Hill
Change of Variables
Calculating a Total Differential
Constant Lines in the u-v plane
Fixed Partial Differentials
The Heater
The Park
Chop, Multiply, and Add
The Cylinder
The Cake
Cross Product
Surfaces
Double Integrals
The Triangle
Curvilinear Coordinates
The Cone
(see also
this version
)
The Heater II
The Hot Plate
Drill
Chain Rule
Resistors
Chain Rule Measurements
The Hill
Directional Derivatives
The Puddle
The Cube
The Gold Mine
The Water Table
The Roller Coaster
Optimization
Change of Variables