Labs for Math 3354 and Math 3355
Here are some of the labs for Math 3354 and Math 3355. Each of these
labs will be worked through and completed in a two week period.
- Lab 1: Maple for Vector Calculus
- This lab is an introduction to visualizing and computing mathematics using
the Computer Algebra System Maple.
- Lab 2: Visualization of Planes
- The goal of this lab is to use technology to visualize planes in space,
and understand how they can be defined in terms of vectors.
- Lab 3: Visualization of Surfaces
- The goal of Lab 3 is to understand the geometry of surfaces, and discover
the meaning of a tangent plane with respect to a surface.
- Lab 4: Matlab for Gradient Vector Fields
- This lab is an introduction to gradient vector fields using the Matlab
Numerical software package.
- Lab 5: Newton's Equations and Gradient
- This lab explores the gradient vector fields that represent
Newton's laws of gravitaion.
- Lab 6: Limits, Continuity, and Differentiability
of multivariable functions
- Lab 6 explores the behaviour of some ``wacky'' functions at certain points
- Lab 7: Vector Fields and Linear Vector Fields
- This Lab explores how general vector fields near an equilibrium point can
be approximated by linear vector fields.
- Lab 8: Phase Portraits of Vector Fields
- Everything you wanted to know about the local behavior of phase portraits
in the neighborhood of a equilibrium point but were afraid to ask is in this
- Lab 9: Eigenvalues, Eigenvectors and the
- As the title suggests, this lab studies the relationships between
eigenvalues, eigenvectors and the determinant.
- Lab 10: Forced Oscillators
- This lab studies the ODEs that model forced oscillators and
makes a comparison between linear and nonlinear models.
- Lab 11: Polar Coordinates and Differential
- This lab studies how a polar change of coordinates affects vector fields
and trajectories to a vector field.
- Lab 12: Computing Area and Volumes
- In this lab we study integration in two dimensions by computing the
surface area and volume of the HHH Metrodome.
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Department of Mathematics. All rights reserved.
Last modified: Jan 21 1997
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