«« MATHÉMATIQUES...
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ABACUS.
Abacus
est un outil d'édition et d'entrée d'équations spécialement
conçu pour être utilisé avec Microsoft Excel 97 et
2000. Il fournit une interface semblable à une calculatrice
et hautement adaptable qui vous aide à obtenir le maximum d'Excel,
rapidement. Une large bibliothèque de touches de fonctions
programmables intégrée place les fonctions mathématiques,
scientifiques et de conversion, ainsi que les constantes à portée
de main. Des fonctions modernes comme les parenthèses, les raccourcis
de clavier, les conseils et un glisser-déposer en font une interface
d'utilisateur efficace.
Demo.
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ASAP
Utilities is probably one of the world's most popular
FREE add-ins for MS Excel 97/2000/XP. Deselect cells. Apply formula
to selected range. Conditional select cells (i.e. cells > 12 or red cells).
Copy a worksheet's page and print settings. Vision control, view workbooks,
sheets and easily change their settings. Print multiple sheets. Color each
n'th row or column. File import and export (txt, csv, dbf, xls, gif, jpg,
etc.). Export selection as HTML table (including formats, colors
etc.);. ASAP Utilities
info for: Vision Control, Select, Sheets, Range, Columns / Rows,
Numbers, Text, Formula, Fill, Format, Objects, Web, System, Information,
Import, Export, Launch, Free memory, Options.
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Analyse
numérique pour ingénieurs (cours)
Problèmes d'interpolation = Dérivation
numérique = Intégration numérique = Elimination de
Gauss = Décomposition de Cholesky = Méthodes itératives
pour la résolution de systèmes linéaires = Calcul
des valeurs propres = Equations et systèmes d'équations non
linéaires = Equations différentielles = Différences
finies pour un problème aux limites unidimensionnel = Une méthode
d'éléments finis pour l'approximation de problèmes
elliptiques = Approximation de problèmes paraboliques. Problème
de la chaleur = Approximation de problèmes hyperboliques. Equation
de transport et équation des ondes = Approximation de problèmes
de convection-diffusion .
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Applied
Statistics. (Georgia State University)
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Calculating
Machines.
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Calculatrice
de vecteurs (WWW Interactive Mathematics
Server)
Cette page vous permet d'effectuer des calculs sur les
vecteurs. Les composantes de ces vecteurs peuvent être des nombres
réels ou complexes, ou des expressions paramétrées.
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Compléments
de Mathématiques (cours et exercices).
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ÉducaSites
- MATHÉMATIQUES (niveau universitaire).
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Eléments
d'algèbre et d'analyse tensorielle à l'usage des mécaniciens.
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Engineering
Fundamentals: Mathematics
Arithmetic (General Topics, Binomial Theorem, Complex
Numbers, Inequalities, Infinite Products) = Geometry( Areas, Solids) =
Calculus ( General Topics, Derivatives, Integrals) = Differential Equations
(Ordinary) = Series (Constants, Taylor Series, Fourier Series, Special
Numbers) = Elementary Functions (Exponential/Logarithmic, Trigonometric,
Hyperbolic) = Special Functions (Unit Step/Delta, Gamma, Beta, Bessel,
Modified Bessel, Error/Zeta, Elliptic, Hypergeometric, Misellaneous ) =
Orthogonal Polynomials (Legendre, Hermite, Laguerre, Chebyshev) = Transforms
(Laplace, Fourier) = Numerical Methods (Linear Algebra, Root Finding, Interpolation,
Integration, ODE) = Statistics/Probability (Set Theory, Permutations/Combinations,
Probability Theory, Distributions, Reliability, Least Squares) = Calculators
/ Plotters
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EXCEL
Links.
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EXCEL
MVP page. Freeware
library. This page is intended to become a file library where the Microsoft
Excel MVPs and Compuserve TAs can place example files and utilities.
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EZ
Graph
Zona Land's graphics calculator. With it you should be
able to graph almost any polynomial, rational, exponential, logarithmic,
or trigonometric function. It will allow you to enter variables into your
function definition so that you can see the effect of changing coefficients
easily.
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Future
Media: Maths: On-Line Tools.
Links to more than sixty online tools for every day purposes,
and some hints where you find more.
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JavaCalc - Calculator. Scientific calculator. It accepts
brackets, functions like sin, cos, tan, exp, log, sqrt, pow, asin, acos,
atan, gamma, the constants E und PI. On the calculator's web page you find
a detailed description. If you are not pleased with this calculator,
you can choose out of huge collections of elementary and powerful complex
variants.
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Maths online mini-calculator.A handy calculator appearing
in a small window. It containts only a single input line, but it understands
(almost) as many statements as the JavaCalc calculator refered to above.
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Solving equations (Mathematica system). The equation
may contain symbolic constants. Although the page offers only the solution
of polynomial equations, some more general equations are admissible too.
The result appears at the bottom of a web document which otherwise looks
like the input page.
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Solving systems of equations (Mathematica system).The
equations may contain symbolic constants. The result appears at the bottom
of a web document which otherwise looks like the input page.
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Eigenvalues eigenvectors matrix (Mathematica system).
The matrix may contain symbolic constants). The result appears at the bottom
of a web document which otherwise looks like the input page.
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Maths online function plotter. After entering one
or more functional expressions, the graphs are drawn. Using the zoom option,
you may study the graphs from a very "close" viewpoint and read off coordinates
of interesting points.
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Plotting function graphs (Mathematica system). After
typing in one or more functional expressions, the respective graphs are
plotted. The plot is a gif-file and can be saved on your PC by a
right mouse click. It may be printed or included in other documents.
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Numerical computation of sequences. After typing in
an expression for an, an initial value, an upper bound and a step-width,
the items of the sequence are represented numerically.
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Numerical computation of series. After typing in an
expression for ak, the items of the sequence of partial sums are represented
numerically.
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Derivative of a function. Type in an expression defining
a function and get its derivarive (or derivatives up to the order required)
in closed form. The expression may contain symbolic constants.
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The Integrator. Type in an expression defining a function
and get its (indefinite) integral in closed form. The expression may contain
symbolic constants.
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Definite Integral. Type in an expression defining
a function and get its (exact) definite integral over the required interval.
The expression may contain symbolic constants. The program recognizes divergent
integrals quite well (e.g. over 1/x if 0 is in the integration domain),
but a little bit of caution is in place! The result appears at the bottom
of a web document which otherwise looks like the input page. This tool
may help you to get mathematical symbols on a web page, provided you know
a little bit about HTML. It comes with a detailled description
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GrabIt!
Graph Digitizer. Excel
based Digitizer. Grab It! for Excel 97 enables you to get digitized data
from images. It lets you use Excel to include a photograph or chart, for
example, and determine measurements or data. Uses include extracting data
from scientific publications, scaled photographs, and stock market charts.
Simply choose the types of X and Y axes, choose a graph type, and select
from numeric, scientific, date, time, and general X and Y output. Enter
boundaries, and as you select points, their data is inserted into the open
Excel spreadsheet. Excellent instructions are included. Free
Demo. Example.
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Grapher
(Simple
Data Grapher)
Very simple data grapher. Basically, you enter your legends,
maximums, minimums, and data, and then you press the 'Make graph' button.
A new browser window will open up with your graph displayed in it. Simply
print the page using the services of the new browser window, and you will
have a hard copy of your graph.
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Graphics:
Harvard ChartXL 3.0 - Creates Any Chart For Any Type
of Data
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HYPERMATH.
(Georgia State University) Trigonometry. Exponents. Logarithms. Algebra.
Linear Algebra. Geometry. Vectors. Calculus. Differential Equations.
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Intermediate
Algebra with Geometry
Angles = Approximating Roots = Area = Common Factors
= Complex Fractions = Coordinate Geometry (Equations of lines) = Difference
of Cubes = Difference of Squares = Equations of lines = Equations (Linear,
Quadratic Equations, Radical, Rational) = Exponents ( Negative, Rational
) = Factoring (Difference of Cubes, Difference of Squares, Grouping, Sum
of Cubes, Trinomials) = Functions = Geometry ( Angles, Area, Coordinates,
Perimeter, Pythagorean Theorem, Similar Triangles, Solids ) = Imaginary
Numbers = Inequalities = Linear Equations = Linear Functions = Linear Inequalities
= Logarithms = Parabolas = Perimeter = Pythagorean Theorem = Quadratic
Equations = Quadratic Inequalities = Radicals = Rational Equations = Rational
Expressions = Rationalizing Denominators = Similar Triangles = Slope-intercept
= Solids = Sum of Cubes = Systems of Equations = Trinomial Factorings.
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Les
Mathhématiques * net. Des
cours de Mathématiques niveau universitaire. Ce site est un lieu
de rencontre pour ceux qui étudient et qui aiment les Mathématiques.
Le forum permet à chacun de soumettre questions et problèmes.
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Linear
Algebra (Java Script)
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Java Script Linear Algebra Calculator: The ability to do
most functions of pages I and II, plus being able to move matrices around.
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Java Script Linear Algebra Page I: Trace, Determinant, Adjoint,
and Inverse.
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Java Script Linear Algebra Page II: Addition and Multiplication
of Matrices.
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Java Script Linear Algebra Page III: Solve a Linear System
of 3 equations and 3 unknowns.
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MAPLE Application Center.
Applications
Cotributed by Maple Users.
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MAPLE
PowerTools. 35
Maple lessons for a complete undergraduate course in Ordinary Differential
Equations. Course in intermediate to advanced Newtonian mechanics.
68 Maple lessons for an undergraduate course in Complex Analysis or
Complex Variables. Calculus 1 (complete set of Maple lessons for 1st
semester calculus), Calculus 2 (2nd semester calculus), Calculus
3 (25 classroom demos). Vector differential operations,
curve analysis, coordinate system conversions, multiple integrals, and
line and surface integrals. Intro to Maple for Physics Students
(9 chapters). Calculus Projects (100 student projects). MathClass
package introduces Maple tools and techniques for constructing textbook-quality
mathematical diagrams. Engineering Mathematics (273 Maple classroom lectures).
Matrix Algebra (30 Maple classroom modules covers most of the topics
taught at the undergraduate level that concern operations on matrices with
symbolic and numerical elements. Maple Essentials (This Tutorial has been
designed to give you a complete self-paced hands-on introduction
to the basic commands that you will need to use Maple effectively).
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Martindale's Calculators On-Line
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Algebra (Algebra I, Advanced Octonions, Quaternions Abstract,
Linear, etc.) = Base Conversion = Calculus (Pre, 1st Year Advanced, Applied,
etc.) = Combinatorial = Complex Analysis & Numbers = Computational
Science = Continued Fractions = Curves, Curve Fitting = Differential Equations
= Discrete Mathematics = Encryption& Cryptography = Exponential Expression
= Feigenbaum Diagram's = Finite Fields, Fourier | Fractals = Geometry &Advanced
Geometry = Graph Theory = Graphing/Plotting (Graph any function) = Group
Theory = Henon Map = Hexadecimal/Decimal = Histograms = Hypercube&
N-Dimensional = Integer Sequences, Integrals, Interval Arithmetic = Knot
Theory = Lambda = Lattice Theory = Level Set Methods = Lie Groups = Linear
Equations = Linear & Nonlinear Programming & Simplex = Linear Regression
= LinearTransformation = Logarithms = Logic | Lorenz = Math Animations
= Mathematical Constants = Mathematica &LiveGraphics3D = Mathematicsof
Communications = Matrix + Eigenvalue/Eigenvector = Number Theory = Operations
Research& Logistics = Prime Numbers = Pythagorean = Quadric Surfaces
= Random Numbers = Real Analysis = Real Numbers | RPN = Sandpile = Soap
Film Spirograph = Tensors &General Relativity = Topology = Vectors
= Wavelets
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Math2.org
You can download this site and view it offline..
General ( Number Notation, Addition Table, Multiplication Table, Fraction-Decimal
Conversion, Interest, Units & Measurement Conversion). Algebra (Basic
Identities, Conic Sections, Polynomials, Exponents, Algebra Graphs, Functions).
Geometry (Areas, Volumes, Surface Areas, Circles). Trig (Identities, Tables,
Hyperbolics, Graphs, Functions). Discrete/Linear (Vectors, Recursive Formulas,
Linear Algebra). Other (Constants, Complexity, Micellaneous, Graphs,
Functions). Stat. Calc (Integrals, Derivatives, Series Expansions).
Advanced (Fourier Series, Transforms)
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Mathématiques,
Statistiques et Informatique
(Page personnelle de Jean-Michel Bernabotto).
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MathServ
Calculus Toolkit. Tools for Algebric Calculations
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MathServ
Calculus Toolkit. Tools for Analyzing Functions
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Shifting
and scaling functions. Demonstrates how the graph of a function f(x)
changes under transformations such as f(x) + c, f(x+c), f(cx) where c is
a constant.
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Combining
functions. Graphs functions which are arithmetic combinations of two
functions. For example, given f(x) and g(x), it graphs f(x) + g(x).
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Composite
functions. Graphs the composite function formed by two functions of
a single variable. Given f(x) and g(x), it graphs f(g(x)) or g(f(x)).
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Asymptotes.
Computes the vertical and horizontal asymptotes of a rational function.
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Finding
inverses. Find an inverse function of f(x).
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MathServ
Calculus Toolkit. Tools for Plotting Functions & Equations
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MathServ
Calculus Toolkit. Tools for Computing Limits and Derivatives
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Computing
a limit. Computes the limit of a function. The function is allowed
to have parameters in which case the limit we be found (hopefully!) in
terms of the parameters. There is an option that plots the graph of the
function in a neighborhood of point where the limit is being taken.
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Limit
definition picture. Gives a graphical representation of the
e-d
definition of a limit.
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Derivative
tutor. Helps you hone your differentiation skills by demonstrating
the techniques of differentiation.
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How
to compute a derivative. Demonstrates, using basic rules, how to differentiate
a function of a single variable. It shows how polynomials, exponential
functions, logarithmic functions, and trigonometric functions are differentiated
along with differences, products, quotients, and compositions of these
functions.
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Differentiate
a function. Computes one or more derivatives of a function f(x).
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Implicit
differentiation. Differentiates an equation, F(x,y)=0, treating y as
a function of x and then solves the differentiated equation for y'(x).
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MathServ
Calculus Toolkit. Tools for Using the Derivative
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Newton's
Method. Uses Newton's Method to find an approximation to a solution
of the equation: f(x) = 0.
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Plotting
the tangent line. Computes the equation of the tangent line to the
graph of a given function f(x) at the specified point x=a.
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Polynomial
approximation. Given an n-times differentiable function, this tool
computes a polynomial approximation for the function that agrees with the
function and its derivative at a specified point.
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Power
Series. Computes the first N terms of the power series of a function.
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MathServ
Calculus Toolkit. Tools for Integration
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Riemann
Sums. Calculates the Riemann sums (left-end point, right-end point,
and midpoint) for a given function f(x) over an interval [a,b].
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Definite
Integral. Calculates the definite integral of a function f(x) over
an interval [a,b].
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Antiderivative.
This tool calculates the antiderivative of the given function.
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Solid
of revolution I. Generates a solid of revolution (about the x-axis
or y-axis) by rotating the graph of a function, y = f(x).
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Solid
of revolution II. Generates a solid of revolution by rotating the area
enclosed by the graphs of two functions, y = f(x) & y = g(x).
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Integration
Assistant. This megatool leads the user through the computation of
an integral (antiderivative). Individual tools provide assistance with
integrand manipulation (e.g. partial fraction expansion), u-substitution,
and integration by parts.
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Quadrature
Formulas. Approximates a definite integral using the Midpoint, Trapezoid,
and Simpson Rules.
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Direction
Field. Draws the direction field of a first order differential equation
dy/dx = f(x,y).
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Separable
ODE. This tools solves a separable ODE.
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Arc
length. Computes the arc length of a curve.
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Center
of mass. Computes the center of mass of a thin plate whose shape is
the region enclosed by the graphs of two functions.
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MathServ
DE Toolkit
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Antiderivative.
Attempts to find antideivatives of the given function.
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Plotting
an equation. Draws the graph of an equation: F(x,y)=0.
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Solve
a system. Attempts to solve a system of linear equations.
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Tangent
field of an ODE. Draws the tangent field of a first order ODE: dy/dx
= f(x,y) over a rectangle of the xy-plane.
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Solving
a separable ODE. Find the general implicit solution of the first order,
separable differential equation: P(x)dx + Q(y)dy = 0.
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Solving
an exact ODE. Find the general explicit solution of the first order,
exact differential equation: P(x,y)dx + Q(x,y)dy = 0.
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Solving
a linear ODE. Find the general explicit solution of the first order,
linear differential equation: dy/dx + P(x)y = Q(x).
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Solving
a homogeneous ODE. Find the general implicit solution of the first
order, homogeneous differential equation: dy/dx = f(x,y) = F(v), v = y/x.
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Solving
a Bernoulli ODE. Find the general explicit solution of the Bernoulli
differential equation: dy/dx + P(x)y = Q(x)yr where r is a constant.
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Solving
a special form. Find the general implicit solution of the first order
differential equation: dy/dx = H(u), u = (ax + by + c)/(dx + ey + f) where
a,b,c,d,e, and f are constants, and H(u) is a function of a single variable.
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Identifying
types. Test your ability to determine the type (separable, linear,
exact, homogeneous, Bernoulli, Riccati) of a first order ODE in the form:
dy/dx=f(x,y).
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Euler's
Metod. Uses Euler's Method to find approximations to an initial-value
problem.
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Solving
dy/dx=f(x,y). Attempts to find the general solution of a differential
equation in standard form. If an initial condition is supplied, then it
will attempt to find a particular solution of the IVP. It will also plot
the solution of the IVP.
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Computation
of Wronskain. Attempts to compute the Wronskian of a list of functions.
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Reduction
of order. Attempts to find a second linearly independent solution of
a(x)y'' + b(x)y' + c(x)y = 0, given a nonzero solution, y1(x).
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Roots
of auxiliary polynomial. Attempts to find all of the roots of the auxiliary
polynomial for a linear, constant coefficient, homogeneous ODE: L[y]=0.
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Method
of Undetermined Coefficients. Subsitutes and simplifies a particular
solution containing unknown coefficients into a differential equation as
the first computational step in the Method of Undetermined Coefficients.
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Variation
of parameters. Attempts to find a particular solution of a second order,
linear, inhomogeneous ODE.
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Variation
of parameters for higher order. Attempts to find a particular solution
of an nth order, linear, inhomogeneous ODE, given n linearly independent
solutions of L[y]=0.
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Cauchy-Euler
ODE. Computes the general solution of a second order, homogeneous,
Cauchy-Euler differential equation.
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Spring
(unforced) ODE. Finds the position of the spring as a function of time.
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Spring
(forced) ODE. Finds the position of the spring as a function of time.
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Laplace
transform. Computes the Laplace Transform of a function.
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Inverse
Laplace transform. Computes the Inverse Laplace Transform of a function.
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Eigenvalues
and Eigenvectors. This tool computes eigenvalues and eigenvectors of
a matrix.
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MIT:
Useful Trigonometric Identities:
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Pythagorean Identities = Addition Formulas = Subtraction
formulas = Double Angle Formulas = Half-Angle Formulas = Product Formulas
= Factoring Formulas.
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MIT:
Calculus
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Summary
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Limits
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Differentiation
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Table
of derivatives
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Definition
of differentiation
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The
Notation of Differentiation
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Rules of Differentiation
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Derivatives of Trigonometric functions
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Derivative of sine
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Derivatives of cosine
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Derivatives of other trigonometric functions
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Derivatives of inverse trigonometric functions
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Derivatives of Logarithmic Functions
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Euler's magic number/ Derivative of exponentials
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Differentiation of logarithms
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Derivatives of hyperbolic functions
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Applications of Differentiation
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Integration
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Methods of integration
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QuickMath
Online.
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An automated service for answering common math problems over
the internet. Think of it as an online calculator that solves equations
and does all sorts of algebra and calculus problems - instantly and automatically!
When you submit a question to QuickMath, it is processed by Mathematica,
the largest and most powerful computer algebra package available today.
The answer is then sent back to you and displayed right there on your browser,
usually within a couple of seconds.
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Algebra (Expand-Factor-Simplify-Cancel-Partial Fractions-Join
Fractions).
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Equations (Solve-Plot-Quadratics).
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Inequalities (Solve-Plot).
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Calculus (Differentiate-Integrate).
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Matrices (Arithmetic-Inverse-Determinant).
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Graphs (Equations-Inequalities).
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Numbers (Percentages-Scientific notation).
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Real
Analysis (Interactive Real Analysis)
An online, interactive textbook for Real Analysis or
Advanced Calculus in one real variable. It deals with sets, sequences,
series, continuity, differentiability, integrability (Riemann and Lebesgue),
topology, and more.
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Résumés
de cours de Mathématiques pour classes préparatoires et DEUG
sciences ainsi que des
fiches de DL et de trigo. téléchargement possible sur le
site.
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Root
finder
The general problem of solving a nonlinear equation can
be reexpressed as a problem of finding points where a function is zero.
This section studies various methods for zeroing in on the root of the
problem as quickly as possible. In one dimension, bracketing of the root
is possible, and Ridders and Brent methods are good general purpose methods
that converge on the solution very quickly. Roots of polynomial equations
can be found using Laguerre's method. The Newton-Raphson method requires
knowledge of the function and its first derivatives. A diversion into fractals
generated with the approach is included. The method can be used for multidimensional
problems. The exercise involves finding the maximum of a blackbody radiation
spectrum.
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S.O.S Mathematics.
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2,500 Math pages filled with short and easy-to-understand
explanations - from simplifying fractions to the cubic formula, from the
quadratic equation to Fourier series, from the sine function to systems
of differential equations. | Algebra | Trigonometry | Calculus | Differential
Equations | Complex Variables | Matrix Algebra | Tables | CyberExam CyberBoard
|
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TENSEURS:
Calcul tensoriel (Hervé Laurent, Université
de Bretagne Sud / Lorient ).
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TENSEURS:
Eléments d'algèbre et d'analyse tensorielle à l'usage
des mécaniciens (Jean
GARRIGUES , École Supérieure de mécanique de Marseille).
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TENSEURS: Introduction
à la notion de tenseur.
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TENSEURS
(J.M. Lecorps).
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XYFIT Excel. Add
On Software. XYfit is a curve-fitting excel add-on for sophisticated statistics,
curve fitting, fourier fitting and analysis, regressions, trends, polar
diagrams, and more. The site offers a free evaluation of XYFIT and many
other utilities are available for download.