An Interactive Learning Experience

An Overview of Mathematics

Mathematics is the science of size, structure, order, and shapes, and other relationships among quantities.

Math in Daily Life

Whether you're sailing a boat off the coast of Japan or building a house in Peru, you're using math to get things done.

Understanding Algebra

A complete review of Basic Algebra

www.math.com

CALCULATORS - Web Based

Calculators

Calc98 a Free Downloadable Calculator  

Calc98, a free scientific, engineering, statistical and financial calculator for Windows and PocketPC.  Calc98 includes a vast range of units conversions, fundamental constants and physical property data, and other features including arbitrary base numbers, Roman numerals and a stopwatch feature and built-in Periodic Table of the Elements.

Also check out:

• Graphing

• Hydrology

• Photography - field of view

or,  try the quick scientific calculator below. 

Online Graphic Algebra Calculators

Algebra Calculator for Solving for Two Unknowns

How about 9,330 calculators?   Click >> HERE

Go to the 101 Science calculator/conversion page.

Conversion Software Download

Texas Instruments calculators for sale

Our Pick:  

Texas Instruments TI89 Advanced Graphing Calculator

 

 

Or, try the TI-83 used in many high school and college math courses.

 

Texas Instruments TI83PLUS Graphing Calculator

 

 

 

 

 

 

Links to TI-83 Programs you can download to your calculator:
http://www.ticalc.org/pub/83/basic/math/
http://occ.awlonline.com/bookbind/pubbooks/lhs_collegealgebra/chapter5/custom5/deluxe-content.html
http://www.geocities.com/benahimvp/ti83index.html
http://www.ticalc.org/pub/83plus/
http://www.iserv.net/~gopat/  (General Statistics)
http://www.ikevtiva.com/calc/83.htm
http://www.geocities.com/ti83programs/
http://www.richland.cc.il.us/james/ti82/algebra.html
http://academic.cuesta.cc.ca.us/mturner/ti83.htm
http://www.keycollege.com/workshopstatistics/vonoehse/ti83prgm.zipStatistics
http://gbowland.ucc.asn.au//gmb/ti83.html
http://academic.cuesta.cc.ca.us/mturner/ti83p.htm
http://www.hwscience.com/smarsden/ti.htm  Chemistry
http://members.aol.com/brettmg/ti83.html
http://silver.sdsmt.edu/~rwjohnso/Ggrant.htm  Statistics - CBL
http://mathworld.8m.com/calculator.html
http://dignified.dhs.org/ti_section.html
MORE......

 

Finding Mean and Standard Deviation with the TI-83

Mean and standard deviation on the TI-83
[PDF]Using the TI-83 to Find the Sample Mean and Sample Standard ...
TI-83 Instructions - Hypothesis Testing with one mean
TI 83 Instructions - Confidence Intervals for mean (small samples ...
[PDF]TI-83/83 Plus: Confidence Interval for One-Sample Mean with s ...
[PDF]TI-83/83 Plus: Hypothesis Testing for Two-Sample Mean with s ...
[PDF]Calculating Mean and Standard Deviation for a Sample with TI-83 Normal probabilities on the TI-83
SettleBasics
TI-83 Instructions

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TI-92 Tutorial  Great!!

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MATHCAD for Calculus

MathCad for Calculus

MathCad for Calculus II

Calculus Animations

Mathcad for Calculus II

[PDF] INTRODUCTION TO MATHCAD Differential Calculus

Multivariable Calculus, Linear Algebra and Differential Equations

Adept Scientific plc - The Technical Computing People

.

search mathcad.com

 

MATH GOODIES  >> Click HERE

The powers of 10. Click here  - No it isn't quite what you might think.

ROMAN NUMERALS

Rule:  1.  If no letter in front of a letter is of greater value, add the numbers represented by the letters.  Example.  XXX = 30;  VI = 6

Rule 2.  If a letter in front of a letter is of greater value, subtract the smaller form the larger; add the remainder or remainders obtained to the numbers represented by the other letters.  Example.  IV = 4;   XL = 40;   CXLV = 145

Now type in a number in the box below and press the translate button to see you number in Roman Numerals. (Note:  Don't hit enter, press the button.)

Try a FUN math word mix game - free online now. http://www.studyworksonline.com/cda/content/applet/0,,NAV3-15_SAP884,00.shtml

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.

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 World--Mathematics lesson plan (grades 6-8
Lesson Plans - Chemistry
Metric Equivalents - An AskERIC Lesson Plan
Education WorldŽ : 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

See our Calculations Page

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 mł

LAWS OF EXPONENTS - To multiply powers of the same base, add their exponents.
        Thus,         2² times 2³ = 2⁵       = 32
        PROOF:    2² = 4;  2³ = 8;   2⁵   
        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,       3⁵ /  3³  =  3²                        = 9
        PROOF:  3⁵  = 243;  3³  =   27;  3²   
        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 = aⁿ, if n is even
                (-a)ⁿ = -aⁿ, if n is odd
                a^m  *  aⁿ  =  a^m+n
                aⁿ / a^m  =  a^n-m
                (ab)ⁿ  =  aⁿbⁿ
                (a + b)²  =  a²  +  2ab   + b²
                (a -  b)²  =  a²  -  2ab  +  b²
                (a + b)(a - b)  =  a²  -  b²
                (a + b)³  =  a³  +  3a^2b  +  3ab²  +b³

STATISTICS SECTION

 STATISTICS   

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://www-stat.stanford.edu/~naras/jsm/example6.html
http://www-stat.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://stat-www.berkeley.edu/~stark/SticiGui/index.htm

Applied Statistics Books

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 TI-83 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 TI-83

Mean and standard deviation on the TI-83
[PDF]Using the TI-83 to Find the Sample Mean and Sample Standard ...
TI-83 Instructions - Hypothesis Testing with one mean
TI 83 Instructions - Confidence Intervals for mean (small samples ...
[PDF]TI-83/83 Plus: Confidence Interval for One-Sample Mean with s ...
[PDF]TI-83/83 Plus: Hypothesis Testing for Two-Sample Mean with s ...
[PDF]Calculating Mean and Standard Deviation for a Sample with TI-83 Normal probabilities on the TI-83
SettleBasics
TI-83 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

From 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

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

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

3. reach consensus about what the observations tell us about the world we observe (statistical inference).

Inversion
Astroid
Parabola

 

  !!!!!MATH VIDEO TRAINING AVAILABLE !!!!!

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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 (K-12 Math questions answered)
MathNERDS (Ask questions from K-5 through graduate college level.)
MegaMathematics ( Los Alamos National Laboratories)
The History of Mathematics (Great Site for Historical Information)

Mathematics - From Wikipedia.

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 English-speaking 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 [showhide]

1 History of mathematics 2 Topics in mathematics 2.1 Quantity 2.2 Change 2.3 Structure 2.4 Space 2.5 Discrete mathematics 2.6 Applied Mathematics 2.7 Famous Theorems and Conjectures 2.8 Foundations and Methods 2.9 History and the World of Mathematicians 2.10 Mathematics and other fields 3 Mathematics is Not... 4 Mathematical tools 5 Further Reading 5.1 External links

 

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 three-dimensional space, but later also generalized to non-Euclidean 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 real-valued 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 infinite-dimensional) 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.

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.

-Bertrand Russell

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 -- p-adic 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 -- Theorem-proving -- 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 and architecture

Mathematics is Not...

Numerology

Mathematical tools

Old:

• Abacus

• Napier's bones

• Slide Rule

• Compass

• Ruler

New:

• Calculator

• Computers

• Computer algebra systems:

  • Maple

  • Mathematica

  • Maxima

Further Reading

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

• Gullberg, Jan: Mathematics--From 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 CD-ROM.

External links

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

• Rusin, Dave: The Mathematical Atlas, http://www.math-atlas.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 news-blog with topics ranging from popular mathematics to popular physics to computer science and education.