This site contains links to notebooks designed with the
intention of helping
All these notebooks are property of the University of Illinois.
Mathematica 6.* notebooks
Mathematica 6.0+ uses new tools to bring mathematics to life. For newer students, this is all that Wolfram offers. These notebooks communicate more than those for the earlier versions. Earlier notebooks are in process of being converted to work with 6.0.
MathEverywhere, Inc. has kindly allowed me to use their initialization cells and style sheet.
Integral Calculation
Basics.nb
This notebook is for some basic properties of integrals and related
differential equations. Other notebooks go into hand procedures in depth.
This is like a complement to lesson 2.02.
Integral Practice.nb
This notebook is an updated (and completed) version of the one below.
LA colFrame.nb
Notebook that covers why matrix columns appear where a matrix hangs its hits
(Linear Algebra).
Logarithms.nb
Notebook on logarithm basics and the natural base logarithm (calculus I,
review).
Parametric.nb
Notebook on parametric basics and f '[x] formula when no clean f[x] is
available.
Slice and Accumulate.nb
Supplement for Lesson 2.03 (calculus I).
Transformations.nb
3D parametric formula transformations, Lesson VC.08 (calculus III).
If you are trying to do VC.08 or VC.09 by hand, check out this notebook.
Separate
variables integral hand example.nb
This notebook covers the Separation of Variables method to solving
differential equations (calculus II).
Two main types of differential equations are discussed. A third is
also covered - full blown hand solution to the logistic differential
equation.
Mathematica 5.2 and earlier notebooks
These will open in 6.0+. For graphs, delete the semi-colons.
Grading.nb
This notebook explains just what its name implies. My students must read
this notebook.
Start and Getting
Help.nb
Where to start and places to go for help.
style_sheet.nb
Have you ever wondered how to use style sheets to simplify your cell
formatting? This notebook attempts to help students edit the lesson's style
sheets and use them to speed up formatting tasks. This notebook does not cover
advanced style sheet methods.
chain_rule.nb
This notebook is all about the chain rule.
Expansions.nb
This notebook is for hand practice of lesson 3.02 expansions.
Parametric.nb
This notebook attempts to make sense of parameterizations and getting a
formula for f '[x] when no f[x] is available.
Gauss_Green.nb
This notebook is an attempt at explaining the Gauss-Green formula.
EulerMethod.nb
This notebook attempts an explanation of the provided code in some lessons
as well as generating points by hand. This notebook's primary coverage is on
Euler's method for functions. It does touch on usage with parametric
equations.
IntegralPractice.nb
Integration procedures are covered in this notebook.
If you're studying for the math230
mastery exam and/or integration handout, then this notebook may really help
you.
FlowInterpret.nb
This notebook is a quick explanation of flow-across & flow-along
interpretations for different fields with the same path integral value from
VC.05.
IntegratingFactor.nb
This notebook covers the integrating factor question found in math385.
306_ratio test.nb
Attempts to demystify the ratio test in Lesson 3.06 for power series.
Race Track Principle.nb
Notebook works on the Race Track Principle in Lesson 1.07 (calculus I).
derivatives workbook.nb
Derivative hand practice.
Logarithms.nb
Notebook about logarithms, natural base logarithm (calculus I, review).
A message about MCS is located at mcs_message.htm.
If you want to know more about me, then go to michael_raschke.htm.
Michael Raschke