Courses 5
METRIC SYSTEM  Mathematics for science starts with a need to understand the metric system. The metric system is used throughout the world of science. You will need to know the basic terminology and conversion factors. To learn more about the metric system click >> HERE
Below is a table of the basic metric units, their powers of ten equivalents, prefix and symbol.
TABLE OF METRIC UNITS  POWERS OF TEN 

Sample  Prefix  Symbol  
1 000 000 000 000 000 000 =  1^{18}  exa  E 
1 000 000 000 000 000 =  10^{15}  peta  P 
1 000 000 000 000 =  10^{12}  tera  T 
1 000 000 000 =  10^{9}  giga  G 
1 000 000 =  10^{6}  mega  M 
1 000 =  10^{3}  kilo  k 
100 =  10^{2}  *hecto  h 
10 =  10^{1}  *deka  da 
0.1 =  10^{1}  *deci  d 
0.01 =  10^{2}  *centi  c 
0.001 =  10^{3}  milli  m 
0.000 001 =  10^{6}  micro  µ 
0.000 000 001 =  10^{9}  nano  n 
0.000 000 000 001=  10^{12}  pico  p 
0.000 000 000 000 001 =  10^{15}  femto  f 
0.000 000 000 000 000 001 =  10^{18}  atto  a 
* avoid where possible 
METRIC UNIT CONVERSIONS
>:: World Wide Metric ::<
Conversion of weights and measures, metric conversion online
Online Conversion  Convert just about anything to anything else
FP : Metric Conversion Tables : convert metric to imperial for
GourmetSleuth  Kitchen Conversion Calculator
Metric conversions . org  online conversion calculators
Online metric conversion calculators  temperature, length
Automotive Converters and Calculators
Conversion calculators : metric to English and English to metric
A Dictionary of Measures, Units and Conversions
Conversion of weights and measures, metric conversion online
Online Conversion  Convert just about anything to anything else
FP : Metric Conversion Tables : convert metric to imperial for
Conversions  online metric converter  US customary & metric
WSDOT  Metric Conversion Factors
Metric System
Unit Conversion  The Foot Rule
Measurement Units Conversion
Conversion of Units
Metric Lesson Plans
Measurement Lesson Plans
The Science Spot: Metric Mania Lessons
A Metric WorldMathematics lesson plan (grades 68
Lesson Plans  Chemistry
Metric Equivalents  An AskERIC Lesson Plan
Education World® : Lesson Planning Center : Lesson Plans : Olympic
Lesson Tutor: Metric Measures and Conversions lesson plan.
Metrics Math Lesson Plan, Thematic Unit, Activity, Worksheet, or
Metric Equivalents  An Educator's Reference Desk Lesson Plan
To see how the metric system is used as it relates to chemistry click >> HERE
Powers of TEN quiz. http://home.postnet.com/~rrichert/power10.htm
Measurement  from mm to m³
LAWS OF EXPONENTS  To multiply powers of the same base, add their exponents.
Thus, 2^{2} times 2^{3} = 2^{5 }= 32
PROOF: 2^{2} = 4; 2^{3} = 8; 2^{5}
Therefore; 4 x 8 = 32
To divide powers of the same base, subtract the exponent of the divisor from the exponent of the dividend. (The dividend is on top / divisor is on the bottom)
Thus, 3^{5} / 3^{3} = 3^{2 } = 9
PROOF: 3^{5} = 243; 3^{3} = 27; 3^{2}
Therefore; 243 / 27 = 9
(Note: The above statement corrected 03/13/00 by the sharp eye and compliments of Jason Rana, Ouachita Baptist University. We appreciate anyone who brings errors to our attention so we may correct them.)
Webmaster@ 101science.com
HANDY FORMULAS AND INFORMATION  These should be memorized!
(a)^{n} = a^{n}, if n is even
(a)^{n} = a^{n}, if n is odd
a^{m} * a^{n} = a^{m+n
} a^{n} / a^{m} = a^{nm
}(ab)^{n }= a^{n}b^{n}
(a + b)^{2} = a^{2} + 2ab + b^{2}
(a  b)^{2} = a^{2}  2ab + b^{2}
(a + b)(a  b) = a^{2}  b^{2}
(a + b)^{3} = a^{3} + 3a^{2b} + 3ab^{2} +b^{3}
FORMULAS(MATHEMATICS)  Storming Media
SOS Math  Mathematical Tables and Formulas
eFunda: Engineering Mathematics
Pi Formulas  from MathWorld
Colby Community College  Mathematics
Education : Beyond the formulas  mathematics education for
Math2.org
EasyRGB  Color mathematics and conversion formulas.
Mathematics
Math Education Web Resources
STATISTICS SECTION
Little Handbook of Statistics http://www.tufts.edu/~gdallal/LHSP.HTM
Online Textbook explains statistics http://davidmlane.com/hyperstat/index.html
Probability Tutorials  online
Electronic Statistics Book http://www.statsoft.com/textbook/stathome.html
Online Textbook http://davidmlane.com/hyperstat/index.html
Statistics Lab http://www.ruf.rice.edu/%7Elane/rvls.html
REGRESSION ANALYSIS
Introduction to Regression Analysis
Multiple Regression
Regression Analysis
CORRELATION AND REGRESSION
[PDF] An Introduction to Regression Analysis
Regression analysis  Wikipedia, the free encyclopedia
Simple linear and multiple regression
PA 765: Multiple Regression
Statistical Analysis
Reliability and Regression Analysis
Statistical Analysis
Regression Analysis
WPI Global Perspective Program  Handbook for IQP Advisors and
KaleidaGraph  scientific graphing, curve fitting, data analysis
Defense Procurement and Acquisition Policy  Contract Pricing
Parametric Cost Estimating Handbook  Regression Analysis
[PDF] Regression analysis
LINEAR REGRESSION
Java Applet to figure normal distribution statisics for you http://playfair.stanford.edu/~naras/jsm/FindProbability.html
http://wwwstat.stanford.edu/~naras/jsm/example6.html
http://wwwstat.stanford.edu/~naras/jsm/
http://www.symynet.com/educational_software/teaching_resources/Statistics/normal_distribution/intro.htm
http://www.adamssixsigma.com/Newsletters/standard_normal_table.htm
http://statwww.berkeley.edu/~stark/SticiGui/index.htm
WEB PAGES THAT PERFORM STATISTICAL CALCULATIONS
Indiana University Statistics and Math Center
Fluid Dynamics and Statistical Physics
Statistical Data Resources
Geospatial and Statistical Data Center University of Virginia
CDC Injury Statistics
CDC Center for National Health Statistics
SSBR: Health Statistics
Top 100 Applied Statistics Books for SaleMathematical Statistics and Data Analysis
Mathematical Statistics and Data Analysis
Statistics
Probability and Statistics  101science.com  WWW Links page.
Statistics Links to TI83 Programs you can download to your calculator:
http://www.iserv.net/~gopat/ (General Statistics)
http://www.keycollege.com/workshopstatistics/vonoehse/ti83prgm.zipStatistics
http://silver.sdsmt.edu/~rwjohnso/Ggrant.htm Statistics  CBL
Finding Mean and Standard Deviation with the TI83
Mean and standard deviation on the TI83
[PDF]Using the TI83 to Find the Sample Mean and Sample Standard ...
TI83 Instructions  Hypothesis Testing with one mean
TI 83 Instructions  Confidence Intervals for mean (small samples ...
[PDF]TI83/83 Plus: Confidence Interval for OneSample Mean with s ...
[PDF]TI83/83 Plus: Hypothesis Testing for TwoSample Mean with s ...
[PDF]Calculating Mean and Standard Deviation for a Sample with TI83 Normal probabilities on the TI83
SettleBasics
TI83 Instructions
Adolphe Quetelet (1796  1874)
QUOTE: "The more progress physical sciences make, the more they tend to enter the domain of mathematics, which is a kind of center to which they all converge. We may even judge the degree of perfection to which a science has arrived by the facility with which it may be submitted to calculation." Adolphe Quetelet
Quoted in E Mailly, Eulogy on Quetelet 1874
Adolphe Quetelet received his first doctorate in 1819 from Ghent for a dissertation on the theory of conic sections. After receiving this doctorate he taught mathematics in Brussels, then, in 1823, he went to Paris to study astronomy at the Observatory there. He learnt astronomy from Arago and Bouvard and the theory of probability under Joseph Fourier and Pierre Laplace. Influenced by Laplace and Fourier, Quetelet was the first to use the normal curve other than as an error law. His studies of the numerical consistency of crimes stimulated wide discussion of free will versus social determinism. For his government he collected and analysed statistics on crime, mortality etc. and devised improvements in census taking. His work produced great controversy among social scientists of the 19th century.
At an observatory in Brussels that he established in 1833 at the request of the Belgian government, he worked on statistical, geophysical, and meteorological data, studied meteor showers and established methods for the comparison and evaluation of the data.
Article by: J J O'Connor and E F Robertson
StatisticsFrom Wikipedia, the free encyclopedia.
Find out how you can help support Wikipedia's phenomenal growth.
Statistics is a branch of applied mathematics which includes the planning, summarizing, and interpreting of uncertain observations. Because the aim of statistics is to produce the "best" information from available data, some authors make statistics a branch of decision theory. As a model of randomness or ignorance, probability theory plays a critical role in the development of statistical theory.
The word statistics comes from the modern Latin phrase statisticum collegium (lecture about state affairs), from which came the Italian word statista, which means "statesman" or "politician" (compare to status) and the German Statistik, originally designating the analysis of data about the state. It acquired the meaning of the collection and classification of data generally in the early nineteenth century.
We describe our knowledge (and ignorance) mathematically and attempt to learn more from whatever we can observe. This requires us to

plan our observations to control their variability (experiment design),

summarize a collection of observations to feature their commonality by suppressing details (descriptive statistics), and

reach consensus about what the observations tell us about the world we observe (statistical inference).
In some forms of descriptive statistics, notably data mining, the second and third of these steps become so prominent that the first step (planning) appears to become less important. In these disciplines, data often are collected outside the control of the person doing the analysis, and the result of the analysis may be more an operational model than a consensus report about the world.
The probability of an event is often defined as a number between one and zero rather than a percentage. In reality however there is virtually nothing that has a probability of 1 or 0. You could say that the sun will certainly rise in the morning, but what if an extremely unlikely event destroys the sun? What if there is a nuclear war and the sky is covered in ash and smoke?
We often round the probability of such things up or down because they are so likely or unlikely to occur, that it's easier to recognise them as a probability of one or zero.
However, this can often lead to misunderstandings and dangerous behaviour, because people are unable to distinguish between, e.g., a probability of 10^{4} and a probability of 10^{9}, despite the very practical difference between them. If you expect to cross the road about 10^{5} or 10^{6} times in your life, then reducing your risk per road crossing to 10^{9} will make you safe for your whole life, while a risk per road crossing of 10^{4} will make it very likely that you will have an accident, despite the intuitive feeling that 0.01% is a very small risk.
Some sciences use applied statistics so extensively that they have specialized terminology. These disciplines include:

Social statistics (for all the social sciences)

Process analysis and Chemometrics (for analysis of data from analytical chemistry and chemical engineering)
Statistics form a key basis tool in business and manufacturing as well. It is used to understand measurement systems variability, control processes (as in "statistical process control" or SPC), for summarizing data, and to make datadriven decisions. In these roles it is a key tool, and perhaps the only reliable tool.
Links to observable statistical phenomena are collected at statistical phenomena
National Statistical Services
See also
Regressionanalysis of variance (ANOVA)  multivariate statistics  extreme value theory  list of statisticians  list of statistical topics  machine learning
External links
How do you solve a percentage increase question?
 How do you calculate a percentage increase? For example if your supply of apples increases from 206 to 814, what was the percentage increase?
We can see by subtracting 206 from 814 that the increase in the number of apples is 608. Remember we started with 206, not zero.
Percentages are fractions. Dividing 814 by 206 gives approximately 3.951 and since we started with one whole (100%) basket of 206 apples we must subtract one from this percentage number. This is the step many people miss. So, 3.951 minus 1 equals 2.951. Multiplying this number by 100 to give percentage; 100 times 2.951 gives 295% increase as the answer.
 Check your work. Does this answer look correct? Well, if we had 200 apples increasing to 400 (double) that would be a 100% increase. So, increasing from 400 to 600 (another 200 apples) would be another 100% increase. So, increasing from 600 to 800 (another 200 apples) would be another 100% increase. So going from 200 to 800 represents an increase of 300%. 3 times our original amount of 200 equals 600 which is equal to the increase (800 minus 200 = 600). So the answer to our problem should be close to 300%. Our answer is 295% so it is close to what we would expect. Now let's do an accurate check of our original problem. 206 times 2.95 equals 608 (the number of apples increased) which proves our answer is correct.
Math Dictionary: http://www.blarg.net/~math/deflist.html
Definitions: http://userzweb.lightspeed.net/~barr/def.html
Math Words: http://www.geocities.com/poetsoutback/etyindex.html
Math Words for Middle Grades: http://mathcentral.uregina.ca/RR/glossary/middle/
A VISUAL DICTIONARY OF SPECIAL PLANE CURVES  X. Lee For more information see Xah Lee's Home Page A VISUAL DICTIONARY OF SPECIAL PLANE CURVES  X. Lee Xah Lee's Home Page
Some Examples from over 60 tutorials include

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.

Computer algebra systems:

Davis, Philip J.; Hersh, Reuben: The Mathematical Experience. Birkhäuser, Boston, Mass., 1980. A gentle introduction to the world of mathematics.

Gullberg, Jan: MathematicsFrom the Birth of Numbers. W.W. Norton, 1996. An encyclopedic overview of mathematics presented in clear, simple language.

Mathematical Society of Japan: Encyclopedic Dictionary of Mathematics, 2nd ed.. MIT Press, Cambridge, Mass., 1993. Definitions, theorems and references.

Michiel Hazewinkel (ed.): Encyclopaedia of Mathematics. Kluwer Academic Publishers 2000. A translated and expanded version of a Soviet math encyclopedia, in ten (expensive) volumes, the most complete and authoritative work available. Also in paperback and on CDROM.

A mathematical thesaurus maintained by the University of Cambridge (UK), http://thesaurus.maths.org/

Rusin, Dave: The Mathematical Atlas, http://www.mathatlas.org/. A tour through the various branches of modern mathematics.

Weisstein, Eric: World of Mathematics, http://www.mathworld.com/. An online encyclopedia of mathematics.

Planet Math, http://planetmath.org/. An online math encyclopedia under construction. Uses the GFDL license, allowing article exchange with Wikipedia. Uses TeX markup.

MathForge, http://www.mathforge.net/. A newsblog with topics ranging from popular mathematics to popular physics to computer science and education.
!!!!!MATH VIDEO TRAINING AVAILABLE !!!!!
MORE WEB MATH LINKS
Find other great math sites  Click here  on the web.
Common Errors Made in Math: http://math.vanderbilt.edu/~schectex/commerrs/
Math Terms/Dictionary: http://www.blarg.net/~math/deflist.html
Lesson Plans: http://www.awesomelibrary.org/Library/Materials_Search/Lesson_Plans/Math.html
Understanding Math Sequences and their Graphs http://jwilson.coe.uga.edu/emt669/Student.Folders/Jeon.Kyungsoon/document3/essay3.html
Dr. Math
Quasicrystals
Encyclopedia Online Note scroll down for the encyclopedia online.
Comprehensive Math Tables
History of Mathematics
How to study Math & Science
Chronological List of Mathematicians
UNITS CONVERSION CALCULATOR
Frank Potter's Science (math) Gem's  Hugh collection
Ask Dr. Math (K12 Math questions answered)
MathNERDS (Ask questions from K5 through graduate college level.)
MegaMathematics ( Los Alamos National Laboratories)
The History of Mathematics (Great Site for Historical Information)
Find out how you can help support Wikipedia's phenomenal growth.
Mathematics is commonly defined as the study of patterns of structure, change, and space. In the modern formalist view, it is the investigation of axiomatically defined abstract structures using logic and mathematical notation. Mathematics is often abbreviated to math in North America and maths in other Englishspeaking countries.
These specific structures investigated often have their origin in the natural sciences, most commonly in physics, but mathematicians also define and investigate structures for reasons purely internal to mathematics, because the structures may provide, for instance, a unifying generalization for several subfields, or a helpful tool for common calculations. Finally, many mathematicians study the areas they do for purely aesthetic reasons, viewing mathematics as an art form rather than as a practical or applied science.
Table of contents [hide] 
History of mathematics
See the article on the history of mathematics for details.
The word "mathematics" comes from the Greek μάθημα (máthema) which means "science, knowledge, or learning"; μαθηματικός (mathematikós) means "fond of learning".
The major disciplines within mathematics arose out of the need to do calculations in commerce, to measure land and to predict astronomical events. These three needs can be roughly related to the broad subdivision of mathematics into the study of structure, space and change.
The study of structure starts with numbers, firstly the familiar natural numbers and integers and their arithmetical operations, which are recorded in elementary algebra. The deeper properties of whole numbers are studied in number theory. The investigation of methods to solve equations leads to the field of abstract algebra, which, among other things, studies rings and fields, structures that generalize the properties possessed by the familiar numbers. The physically important concept of vector, generalized to vector spaces and studied in linear algebra, belongs to the two branches of structure and space.
The study of space originates with geometry, first the Euclidean geometry and trigonometry of familiar threedimensional space, but later also generalized to nonEuclidean geometries which play a central role in general relativity. Several long standing questions about ruler and compass constructions were finally settled by Galois theory. The modern fields of differential geometry and algebraic geometry generalize geometry in different directions: differential geometry emphasizes the concepts of coordinate system, smoothness and direction, while in algebraic geometry geometrical objects are described as solution sets of polynomial equations. Group theory investigates the concept of symmetry abstractly and provides a link between the studies of space and structure. Topology connects the study of space and the study of change by focusing on the concept of continuity.
Understanding and describing change in measurable quantities is the common theme of the natural sciences, and calculus was developed as a most useful tool for doing just that. The central concept used to describe a changing variable is that of a function. Many problems lead quite naturally to relations between a quantity and its rate of change, and the methods to solve these are studied in the field of differential equations. The numbers used to represent continuous quantities are the real numbers, and the detailed study of their properties and the properties of realvalued functions is known as real analysis. For several reasons, it is convenient to generalise to the complex numbers which are studied in complex analysis. Functional analysis focuses attention on (typically infinitedimensional) spaces of functions, laying the groundwork for quantum mechanics among many other things. Many phenomena in nature can be described by dynamical systems and chaos theory deals with the fact that many of these systems exhibit unpredictable yet deterministic behavior.
In order to clarify and investigate the foundations of mathematics, the fields of set theory, mathematical logic and model theory were developed.
When computers were first conceived, several essential theoretical concepts were shaped by mathematicians, leading to the fields of computability theory, computational complexity theory, information theory and algorithmic information theory. Many of these questions are now investigated in theoretical computer science. Discrete mathematics is the common name for those fields of mathematics useful in computer science.
An important field in applied mathematics is statistics, which uses probability theory as a tool and allows the description, analysis and prediction of phenomena and is used in all sciences. Numerical analysis investigates the methods of efficiently solving various mathematical problems numerically on computers and takes rounding errors into account.
Topics in mathematics
An alphabetical list of mathematical topics is available; together with the "Watch links" feature, this list is useful to track changes in mathematics articles. The following list of subfields and topics reflects one organizational view of mathematics.
Quantity
Numbers  Natural numbers  Integers  Rational numbers  Real numbers  Complex numbers  Hypercomplex numbers  Quaternions  Octonions  Sedenions  Hyperreal numbers  Surreal numbers  Ordinal numbers  Cardinal numbers  padic numbers  Integer sequences  Mathematical constants  Number names  Infinity
Change
Arithmetic  Calculus  Vector calculus  Analysis  Differential equations  Dynamical systems and chaos theory  Fractional calculus  List of functions
Structure
Abstract algebra  Number theory  Algebraic geometry  Group theory  Monoids  Analysis  Topology  Linear algebra  Graph theory  Universal algebra  Category theory
Space
Topology  Geometry  Trigonometry  Algebraic geometry  Differential geometry  Differential topology  Algebraic topology  Linear algebra  Fractal geometry
Discrete mathematics
Combinatorics  Naive set theory  Probability  Theory of computation  Finite mathematics  Cryptography  Graph theory  Game theory
Applied Mathematics
Mechanics  Numerical analysis  Optimization  Probability  Statistics
Famous Theorems and Conjectures
Fermat's last theorem  Riemann hypothesis  Continuum hypothesis  P=NP  Goldbach's conjecture  Twin Prime Conjecture  Gödel's incompleteness theorems  Poincaré conjecture  Cantor's diagonal argument  Pythagorean theorem  Central limit theorem  Fundamental theorem of calculus  Fundamental theorem of algebra  Fundamental theorem of arithmetic  Four color theorem  Zorn's lemma  "The most remarkable formula in the world"
Foundations and Methods
Philosophy of mathematics  Mathematical intuitionism  Mathematical constructivism  Foundations of mathematics  Set theory  Symbolic logic  Model theory  Category theory  Theoremproving  Logic  Reverse Mathematics  Table of mathematical symbols
History and the World of Mathematicians
History of mathematics  Timeline of mathematics  Mathematicians  Fields medal  Abel Prize  Millennium Prize Problems (Clay Math Prize)  International Mathematical Union  Mathematics competitions  Lateral thought
Mathematics and other fields
Mathematics is Not...
Mathematical tools
Old:
New:
Further Reading
External links
Mathematics BOOK List (Large). Click >> HERE!!
Schaum's Mathematical Handbook of Formulas and Tables
by Murray R. Spiegel, John M. Liu
Read what one reader thought of this book......
You are crazy if you don't have this book!, July 11, 2000
A reviewer from Los Angeles said:
Great reference for formulas and identities that you have forgotten. Integral table is awsome. ......This is some of the best money I have ever spent. Used it all the time in my physics classes and ALWAYS carry it with me. How did I ever get on without it?
LEARN FROM VIDEOS!
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Advanced Mathematics for Applications Mathematica Notebooks
These Mathematica notebooks are all used for teaching and illustrating concepts. Most have some "discovery learning" built in. These notebooks are used in the course Advanced Mathematics for Applications at Indiana University of Pennsylvania. This is a course that typically uses a book with a title like "Advanced Engineering Mathematics". The order of topics of the course I teach is: Vectors
Dot product, cross product, abstract vector spaces  Vector Differential Calculus
vector functions, curves, velocity, acceleration, curvature, vector fields, streamlines, gradient, divergence, curl  Vector Integral Calculus
line integrals, flows, Green's Theorem, potential theory, surface integrals, flux, Divergence Theorem, Stokes' Theorem  Laplace transforms
delta and Heaviside functions, DE's  SturmLiouville Theory
eigenfunction expansions, orthogonal polynomials  Fourier Series, Partial Differential Equations
 Fourier Integral, Fourier Transform, Partial Differential Equations
The Mathematica Notebooks
The notebooks are listed in the order I assign them.
initializations.nb (download)
I collected all of the functions and packages that I need for vector calculus in this one notebook. Evaluate this before each vector calculus session. This made things easy on me and my students.
vectors.nb (download)
This has some Mathematica basics about vectors along with some functions for plotting vectors and lists of vectors.
vecdiffcalc.nb (download)
A notebook illustrating parametric curves, gradient, divergence and much more. This is a new and improved version of veccalc.nb.
potentialflow.nb (download)
Streamlines, equipotential curves, and a bit of complex functions.
vecintcalc.nb (download)
A notebook illustrating arc length, flows, surface area, flux.
curvcoords.nb (download)
A notebook with functions to look at orthogonal coordinate systems and the div, grad, curl, in these coordinate systems. This contains Mathematica commands and functions for investigating these coordinate systems, but it is by no means selfcontained.
laplacetrans.nb (download)
A notebook illustrating Laplace transforms and using them to solve some differential equations.
evenoddfunctions.nb (download)
A review of the properties of even and odd functions in anticipation of orthogonal expansions and Fourier series.
orthogpoly.nb (download)
Orthogonal expansions with Legendre, Hermite, Laguerre, and Chebyshev polynomials.
slfourier.nb (download)
Fourier series as an example of SturmLiouville theory. Many examples.
fourier.nb (download)
Fourier series via inner products. Very similar to slfourier.nb, but without the use of SturmLiouville theory.
oscillation.nb (download)
Using Fourier series to solve DE's where the forcing function is expressed as a series.
extratips.nb (download)
Examples of some modified commands to speed up calculations of Fourier coefficients.
complex.nb (download)
A notebook illustrating some basic properties of complex numbers (and the relevant Mathematica commands) that may be useful in a course in applied mathematics.
complexfourier.nb (download)
Two examples of how the complex Fourier series is equivalent its real counterpart.
fouriertrans.nb (download)
Some examples of Fourier transforms and Fourier integral representation of functions.
laplacepde.nb (download)
Illustrating Laplace transform solution of PDE's.
The next seven files can be used in a linear algebra course or as a linear algebra supplement to an applied mathematics course.The spline.nb notebook is a combination of differential equations and linear algebra.
linalg0.nb (download)
A notebook illustrating the basics of entering and manipulating matrices using Mathematica.
linalg1.nb (download)
A Notebook illustrating properties of matrices: elementary matrices, echelon forms, inverses. Requires the package gjsf.m.
linalg2.nb (download)
A Notebook illustrating properties of matrices: systems, subspaces, bases, Fundamental Theorem of Linear Algebra. Requires the package gjsf.m.
gjsf.m (download)
A Mathematica package that incorporates some nice functions: elementary row operations, elementary matrices, LU decomposition. This package is needed in linalg1.nb and linalg2.nb.
jcf.nb (download)
After a review of diagonalization, explains the Jordan canonical form of a matrix. Useful if one wants to do systems of ordinary differential equations.
matrixexp.nb (download)
Uses diagonalization and the Jordan canonical form to illustrate solving systems of constant coefficient ordinary differential equations.
splines.nb (download)
Following Strang, Introduction to Advanced Mathematics, cubic splines are developed and illustrated.
Notebooks created by Gary Stoudt. Feel free to use and modify these notebooks for your own classroom use, just please keep my name and affiliation in the notebook. Any suggestions for improvement would be welcomed.
Optimize Results 
Advanced Engineering Mathematics
by Alan Jeffrey
Ancient Mathematics
by S. Cuomo
Archimedes: The Father of Mathematics
by Heather Hasan
Aspects of Teaching Secondary Mathematics: Perspectives on Practice
by Linda Haggarty
Automotive Science and Mathematics
by Allan Bonnick
Basic Engineering Mathematics
by John Bird
Basic Mathematics for Economists
by Mike Rosser
Becoming a Successful Teacher of Mathematics
by Howard Tanner
Becoming a Successful Teacher of Mathematics
by Howard Tanner, Sonia Jones
Beliefs and Mathematics: Festschrift in honor of Guenter Toerner's 60th Birthday
by Bharath Sriraman, G'Unter T'Orner
Calculations for Molecular Biology and Biotechnology: A Guide to Mathematics in the Laboratory
by Frank H. Stephenson
Challenging Perspectives on Mathematics Classroom Communication
by Anna Chronaki
Changing the Subject: Innovations in Science, Mathematics and Technology Education
by Raymond Duval, Edwyn James, John Olson, et al.
Cima Revision Cards: Business Mathematics
by Sandra Peers
Cima Study Systems 2006: Business Mathematics
by Sandra Peers
Classification of Quadrilaterals: A Study in Definition, The. Research in Mathematics Education.
by Barbara J. Dougherty, Zalman Usiskin
CliffsNotes Praxis II: Middle School Mathematics Test (0069) Test Prep
by Sandra Luna McCune PhD, E. Donice McCune, Cliffs Notes
CliffsTestPrep Praxis II: Mathematics Content Knowledge Test (0061)
by E. Donice McCune, Sandra Luna McCune PhD, Cliffs Notes
CliffsTestPrep California High School Exit Exam: Mathematics
by Jerry Bobrow
CliffsTestPrep CSET: Mathematics
by Enrique Ortiz, Janet B. Andreasen
Computability: Computable Functions, Logic, and the Foundations of Mathematics
by Richard L. Epstein, Walter A. Carnielli
Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI
by Robert E. White
Computational Mathematics: Models, Methods, and Analysis with Matlab and Mpi
by ROBERT E.WHITE
Computer Solution of Large Linear Systemsstudies in Mathematics and Its Applications Volume 28 (Smia)
by Gerard Meurant
ConceptRich Mathematics Instruction: Building a Strong Foundation for Reasoning and Problem Solving
by Meir BenHur
The Conceptual Roots of Mathematics: An Essay on the Philosophy of Mathematics
by J.R.Lucas
Conceptual Roots of Mathematics
by J. R. Lucas
Constructing Mathematical Knowledge: Epistemology and Mathematics Education
by Paul Ernest
Contemporary Perspectiveson Mathematics in Early Childhood Education. Contemporary Perspectives in Early Childhood Education.
by Olivia N. Saracho, Bernard Spodek
Coordinating Mathematics Across the Primary School
by Tony Brown
Counting Girls Out: Girls and Mathematics, (new edition)
by Valerie Walkerdine
Course Notes for GCSE Mathematics at Intermediate Level
by Brian R. Stratton
Creative Mathematics: Exploring Children's Understanding
by Rena Upitis
Creative Mathematics
by Eileen Phillips, David Pimm, Rena Upitis
Creative Mathematics
by Rena Upitis
Creative Mathematics
by Rena Upitis, Eileen Phillips, David Pimm
Creativity, Giftedness, and Talent Development in Mathematics
by Bharath Sriraman
Critical Issues in Mathematics Education (HC)
by Paul Ernest
Data Engineering: Fuzzy Mathematics in Systems Theory & Data Analysis
by Olaf Wolkenhauer
A Decade of Middle School Mathematics Curriculum Implementation: Lessons Learned from the ShowMe Project
by Margaret R. Meyer, Cynthia W. Langrall
Developing Science, Mathematics, and ICT Education in SubSaharan Africa: Patterns and Promising Practices
by Wout Ottevanger, Jan van den Akker, Leo de Feiter
Dictionary of Mathematics
by McGrawHill
Discrete Mathematics DeMYSTiFied
by Steven G. Krantz
Discrete Mathematics with Applications
by Thomas Koshy
Draw Poker Odds: The Mathematics of Classical Poker
by Catalin Barboianu
Dyslexia and Mathematics
by Elaine Miles
Dyslexia and Mathematics
by T.R. Miles, E.Miles
Easy Mathematics for Biologists
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Effective Learning & Teaching in Mathematics & its Applications
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Effective Learning and Teaching in Mathematics and Its Applications
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The Einstein theory of spacetime without mathematics
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Engineering Mathematics
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Environmental EngineerÆs Mathematics Handbook
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Environmental Engineer's Mathematics Handbook
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Equity in Mathematics Education: Influences of Feminism and Culture
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Fundamental Constructs in Mathematics Education
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Fundamental Constructs in Mathematics Education
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GED Practice Exam: Mathematics / GED Examene de Prática
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Gender Differences in Mathematics
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Grammars and Automata for String Processing: From Mathematics and Computer Science to Biology, and Back
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The Handbook of Portfolio Mathematics: Formulas for Optimal Allocation & Leverage
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The Handbook of Portfolio Mathematics: Formulas for Optimal Allocation & Leverage (Wiley Trading #400)
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Handbook of Recursive Mathematics, Volume 1: Recursive Model Theory
by Yu L. Ershov
Handbook of Recursive Mathematics, Volume 2: Recursive Algebra, Analysis and Combinatorics
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Handbook of Research on Mathematics Teaching and Learning (Volume 1)
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Higher Engineering Mathematics
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History of the Geometry Curriculum in the United States, The. Research in mathematics Education.
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ICT and Primary Mathematics
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Intended Mathematics Curriculum as Represented in StateLevel Curriculum Standards, The: Consensus or Confusion?: Research in Mathematics Education Se
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Interdisciplinarity, Creativity, and Learning: Mathematics with Literature, Paradoxes, History, Technology, and Modeling
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Interdisciplinary Educational Research In Mathematics and Its Connections to The Arts and Sciences
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International Comparisons in Mathematics Education
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International Comparisons in Mathematics Education
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International Perspectives on Social Justice in Mathematics Education
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Introductory Mathematics for the Life Sciences
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Investigating Mathematics Teaching: A Constructivist Enquiry
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Investigating Mathematics Teaching
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Investment Mathematics
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Invitation to the Mathematics of FermatWiles
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Issues in Mathematics Teaching
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JUNIOR HIGH MATHEMATICS: A SIMPLIFIED APPROACH (1E)
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Learning to Teach Mathematics in the Secondary School: A Companion to School Experience
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Learning to Teach Mathematics in the Secondary School
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Literacy Strategies for Improving Mathematics Instruction
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Low Attainers in Primary Mathematics: The Whisperers and the Maths Fairy
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Mastering Technical Mathematics, 3/e
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Mastering Technical Mathematics
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Mathematical Physics: Applied Mathematics for Scientists and Engineers
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Mathematical Thinking and Writing: A Transition to Higher Mathematics
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Mathematica Navigator: Mathematics, Statistics and Graphics
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Mathematics and Numbers of the Prophecy: The Second Trumpet
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Mathematics and the Divine: A Historical Study
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Mathematics and the Image of Reason
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Mathematics Education
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Mathematics, Education and Philosophy : An International Perspective
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Mathematics, Education and Philosophy: An International Perspective
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Mathematics Education and the Legacy of Zoltan Paul Dienes
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Mathematics Education: Exploring the Culture of Learning
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Mathematics Education Within Postmodern. International Perspectives on Mathematics Education.
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Mathematics for Business, Science, and Technology, 3rd Edition
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Mathematics for Business, Science, and Technology, Second Edition
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Mathematics for Curriculum Leaders
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Mathematics for Dyslexics: Including Dyscalculia, 3rd Edition
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Mathematics in Color
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Mathematics in the Early Years
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Mathematics in the Primary School
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Mathematics in Transport: Selected Proceedings of the 4th Ima International Conference on Mathematics in Transport in Honour of Richard Allsop
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Mathematics Manual for Water and Wastewater Treatment Plant Operators
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Mathematics Meets Technology
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The Mathematics of Banking and Finance
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The Mathematics of Derivatives: Tools for Designing Numerical Algorithms
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Mathematics of Digital Images
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Mathematics of Economics and Business
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The Mathematics of Financial Modeling and Investment Management
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The Mathematics of Finite Elements and Applications X (Mafelap 1999)
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Mathematics of Genome Analysis
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The Mathematics of Infinity: A Guide to Great Ideas
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The Mathematics of Logic
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The Mathematics of Love
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Mathematics of Shape Description: A Morphological Approach to Image Processing and Computer Graphics
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Mathematics of the Securities Industry
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MATHEMATICS PROBLEMS WITH SEPARATE PROGRESSIVE SOLUTIONS: HINTS, ALGORITHMS, PROOFS. VOLUME 1  INTERMEDIATE AND COLLEGE ALGEBRA
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The Mathematics Program Improvement Review: A Comprehensive Evaluation Process for K12 Schools
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Mathematics Teacher Education: Critical International Perspectives
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Mathematics Teacher Education
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Meeting the Standards in Primary Mathematics
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Montana Mathematics Enthusiast 2007, The: Monograph 1: International Perspectives on Social Justice in Mathematics Education.
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Montana Mathematics Enthusiast 2007, The: Monograph 3: Festschrift in honor of Guenter Toerner's 60th Birthday
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The Nature of Mathematics and the Mathematics of Nature
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Newnes Engineering Mathematics Pocket Book
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A Passion for Mathematics: Numbers, Puzzles, Madness, Religion, and the Quest for Reality
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Phenomenology, Logic, and the Philosophy of Mathematics
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Philosophy of Mathematics: An Introduction to the World of Proofs and Pictures
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Philosophy of Mathematics
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Philosophy of Mathematics
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The Pragmatics of Mathematics Education: Vagueness in Mathematical Discourse
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Proof and Knowledge in Mathematics
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Researching Mathematics Classrooms: A Critical Examination of Methodology. International Perspectives on Mathematics Education.
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Schaum's Outline of Mathematics for Physics Students
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Schaum's Outline of Review of Elementary Mathematics
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Second Handbook of Research on Mathematics Teaching and Learning: A Project of the National Council of Teachers of Mathematics
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Sets, Functions, and Logic: An Introduction to Abstract Mathematics, Third Edition
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The Shaping of Deduction in Greek Mathematics
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Social Choice and the Mathematics of Manipulation
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The Sociology of Mathematics Education: Mathematical Myths/Pedagogic Texts
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Statics and Dynamics with Background Mathematics
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Strategies for Success on the SAT: Mathematics Section
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Subject Learning in the Primary Curriculum: Issues in English, Science and Mathematics
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Success with Mathematics
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Surveys in Modern Mathematics
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Advanced Fluid Mechanics
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