Mathematical Resources for Understanding Research
Methods and Statistics
Study Math at MIT for FREE! MIT OPEN COURSES (click here)
MATH WORLD An incredible resource for all things mathematical (by the folks who develop Mathematica)
ThinkQuest Library -- Algebra Many algebra topics: mathematical
numbers, real number system, numerical representations in
algebra, algebraic techniques, quadratic equations and
inequalities, graphing, functions, polynomial functions,
exponential and logarithmic functions, linear algebra,
and discrete algebra.
Professor Weissman's Algebra Tutorials Download this free
software that generates random problems with step-by-step
solutions. Software records your progress and has five levels
S.O.S. Math -- Algebra Links to many tutorials on various
Summation Signs Refresh yourself on how to distribute the summation operator.
Logarithms and Exponents
A Review of Logarithms Reviews the history of logarithms and
follows through with the definition of a function, exponential
function and logarithmic function. Great for a person needing
to brush up on these concepts and their interconnections.
- Trigonometric Fundamentals
A very elementary look at trigonometric fundamentals. Allows
interactive manipulations. Great place to get the basic
conceptualization of trigonometry.
- Dave's Short Course
in Trigonometry Great site, thorough tutorial. Complete
explanations of trigonometry supported with lots of figures. Problem
sets, hints, and answers provided for each section.
Single Variable Calculus
a FREE PDF of Gilbert Strang's Calculus Book
Harvey Mudd College Calculus Tutorials Pre-calculus, single-
variable calculus, multiple-variable calculus, linear algebra,
and differential equations tutorials.
- Visual Calculus
A collection of calculus tutorials for learning calculus. Covers topics such
as limits and continuity, derivatives,differentiation, integration, and sequences
An interactive site composed of calculus games, tutorials,etc.
A comprehensive list of links for calculus topics such as precalculus,
derivatives, integrals, limits, courses in calculus, labs, handouts, etc. .
An interactive learning resource for the first year of calc
Multiple Variable Calculus
Miscellaneous Mathematical Links
Math Archives Links to teaching materials and
shareware software for mathematics, and links to
college and university mathematics departments.
- Math Pages This web site
explains important math
and statistical concepts in great detail. Has a section on calculus and differential
Here is a short list of books that we have found helpful in learning to make the connections between statistical
understanding and mathematical understanding.
- Carroll, J.D.; Green, P.E.; Chaturvedi, A. (1997). Mathematical tools for applied
multivariate analysis (Revised Ed). New York: Academic Press. This book combines several mathematical
concepts for understanding and applying multivariate techniques. This is a great book to read to
review matrix algebra and its applications to multivariate statistical techniques. Geometrical representations
of multivariate techniques are discussed as well.
- Hagle, T.M. (1995). Basic math for social scientists: concepts. Thousand Oaks: Sage Publications.
This book is useful for reviewing the basic mathematical skills that are necessary for reading and understanding
statistical methods used in the social sciences.
- Hagle, T.M. (1996). Basic math for social scientists: problems and solutions. Thousand Oaks:
Sage Publications. This book goes hand-in-hand with the Concepts book by Hagle. It contains practice problems
and step-by-step solutions.
- Johnson, R.A.; Wichern, D.W. (1998). Applied multivariate statistical analysis (4th Ed).
Upper Saddle River, NJ: Prentice Hall. This is a much more advanced multivariate textbook.
While the material is more difficult to read than some of the other books listed, there is more
detail in this book. In our opinion, this book would be of most value if read in conjunction with
or following the reading of some of the more basic books on this list.
- Stewart, J. (1999). Calculus (4th Ed). New York: Brooks/ Cole Publishing Company.
A useful book for learning and reviewing calculus. This book offers many useful examples.
Solutions manuals may be purchased for single and multiple variable calculus units (highly
- Wickens, T.D. (1995). The geometry of multivariate statistics. Hillsdale, NJ: Lawrence
Erlbaum Associates. An excellent book for understanding how multivariate techniques can be visualized in
variable and person space. This book packs a useful geometrical perspective of multivariate analyses
into a small package.
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