ISU Department of Mathematics

Gladly We Learn and Teach

Calculus III

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Title

Project Description

Cat and mouse

Velocity, acceleration, differentiation and integration of vector and scalar functions; surprise solution

Space capsule design

Center of mass, volume by slices

Escape from the Cleangons

Ellipse, vectors, eccentricity

Measuring the USO (Unidentified Stationary Object)

Vector, 3-D geometry, trigonometry, direction cosines, area

A mountain climber

Gradient, multivariable chain rule

Tangent planes to cones

Tangent plane

Perpendiculars to an elliptical paraboloid

Tangent plane, normal to surface

A flying runner

Vectors, parametric equations, motion under gravity

A leaking can

Center of mass

Rolling stones

Moment of inertia, cylindrical coordinates, spherical coordinates, physics

Jacobi’s pizzeria

Jacobian, multiple integrals