Resources
While there are many resources (below) that need a better organizational structure (tags?), my most recent project is the following
Sage Demo , which shows many of the computations and ideas of the typical computational undergraduate curriculum (solving equations, simplifying expressions, graphing, derivatives, integrals, linear algebra).
Each of the scripts can be modified on the webpage and re-evaluated.
My hope is that the examples give just enough detail that someone who is interested in adopting Sage can create their own script based on these examples.
Probably of interest at UWL only
Some interesting websites for teaching
Textbooks
Online games
Interactive Web Applications (my GeoGebraTube page )
Handouts and Activities
Algebra
Trigonometry
Calculus
Multivariable calculus
FULL video playlist for Vector calculus
2D parametrization: GeoGebra and with graphs of x(t), y(t), z(t)
3D parametrization: GeoGebra
Graph of function of two inputs: GeoGebra
Level sets: GeoGebra
Several level sets: GeoGebra
TopoMaps / Level sets: External
Linearization: Two inputs from Calc 1, one input
Spherical coordinates: GeoGebra and GeoGebra
Computing line integrals of scalar functions: PDF/LaTeX
Computing line integrals of scalar functions w.r.t. x,y,z: PDF/LaTeX
Line integral of scalar functions, geometric interpretation:
YouTube and
External video
Line integral of scalar functions, examples: YouTube
Vector field visualization: GeoGebra
Cloud movement, a vector field: YouTube
Computing line integrals of vector fields: PDF
Line integral of a vector field: YouTube
Line integrals of scalar functions vs. line integrals of vector fields: YouTube
Conservative 2-dimensional vector fields: YouTube
Finding potential function, applying FToLI: YouTube
Green's Theorem in the Plane: PDF/Thomas
Green's Theorem example: YouTube
Conservative 3-dimensional vector fields: YouTube
Finding curl and divergence: YouTube
How to remember Green's Theorem, vector form: YouTube
Geometric interpretation of curl: MathInsight
Interpretation of Line Integrals of Vector Fields: YouTube
Parametric surfaces: GeoGebra and accompanying YouTube
Surfaces, Area, and Surface Integrals: PDF/Thomas
Surface area of Parametrized Surfaces: YouTube
Surface area of graph of z=g(x,y): YouTube
Surface integrals: YouTube
Orientability and Stokes's Theorem: PDF/Thomas
Surface Integrals Flowchart:
PDF/Stewart ,
LaTeX/Stewart ,
PDF/Thomas ,
LaTeX/Thomas
Flux across oriented surface: YouTube
Boundary of surfaces: YouTube
Surface integrals, orientation, Stokes' Theorem, Divergence Theorem: YouTube
Stokes' Theorem: YouTube
Divergence Theorem: YouTube
Slides
Mathematical resources on computer
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