MARTINDALE'S
CALCULATORS ONLINE CENTER MATHEMATICS CENTER: AD (Calculators, Applets, Spreadsheets, and where Applicable includes: Courses, Manuals, Handbooks, Simulations, Animations, Videos, etc.) 
Browse down to Algebra and/or Algebra: Worked Examples Examples from over "90" Algebra I & II Video Lectures include
Complex Numbers Video Lecture; Quadratic Equation Video Lecture; Conic Sections: Circles, Ellipses & Hyperbolas Video Lectures; Proof: Hyperbola Foci Video Lecture; Partial Fraction Expansion Video Lecture; Rational Inequalities Video Lecture; etc..."
Basic Linear Function Video Lecture; Graphing systems of inequalities Video Lecture; Solving Radical Equations Video Lecture; Quadratic Functions Video Lecture; NonLinear Systems of Equations Video Lecture; etc..." ALGEBRA HELP  Wyzant, Inc. Multimedia Algebra Course (Text, Images, Calculators & Applets). VERY VERY EXTENSIVE. Examples of "Algebra" Course Subject Categories include
Negative Exponents; Substitution and Evaluating; Factoring; Exponents; Graphing; etc..."
Expressions Calculators; Functions Calculators; Numbers Calculators; etc..." PRACTICAL ALGEBRA  Elizabeth Stapel Multimedia Algebra Courses (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Practical Algebra" Courses & Chapters include
Geometric Formulas; LCM and GCF; Metric Conversions; Negative Numbers; etc..."
Polynomials; Ratio & Proportion; Scatterplots & Regressions; Scientific Notation; Simple Factoring..."
Function Notation; Function Transformations; Polynomial Graphs; Rational Roots Test; Remainder Theorem; etc..."
Matrix Addition, Subtraction, Multiplication, Row Operations; Complex Numbers; Composition of Functions; Determinants; Exponentials; etc..." UNDERSTANDING ALGEBRA  ALGEBRA I  J. W. Brennan, Selland College of Applied Technology, Boise State University Multimedia Algebra Course (Text, Images, Calculators & Applets). VERY VERY VERY...EXTENSIVE. Understanding Algebra
Introduction to Algebra; Word Problems; Graphing and Straight Lines; Systems of Linear Equations; Polynomials; Rational Expressions; Exponents and Roots; Quadratic Equations..."
ALGEBRA GRAPHING APPLETS & ALGEBRA GRAPHING CALCULATORS
Albegra Equation Graphing Calculator
JAVA GRAPHING APPLET WITH EQUATION PARSER  A.S. Pyzdrowski Algebra Graphing Applet with Equation Parser. For more information see ICTCM 2000 or Anthony S. Pyzdrowski's Home Page ALGEBRA LESSONS WITH CALCULATORS, APPLETS & SIMULATIONS
ALGEBRA QUIZES
Algebra Quiz Generator

Computational Algebra
Querying Albegraic Objects Systems Algebraic Computations Commutative Algebra ~ Guassian Integers Permutations and Combinations 
KANT/KASH: Computational Algebraic Number Theory
Ideals in number fields; Relative extensions of number fields; Computations in class field theory; Galois groups; Lattices; Diophantine equations; Algebraic function fields over finite fields, Q or number fields; etc..." MAGMA COMPUTATIONAL ALGEBRA SYSTEM CALCULATOR  Computational Algebra Group, School of Mathematics & Statistics, University of Sydney VERY VERY VERY...EXTENSIVE. MAGMA Computational Algebra System Calculator is a
Basic Rings & Linear Algebra; Lattices & Quadratic Forms; Global Arithmetic Fields; Finite Groups; Lie Groups; Representation Theory; Geometry; Commutative Algebra; Coding Theory; Cryptography; etc..." SAGE & SAGE NOTEBOOK  Sage VERY VERY VERY...EXTENSIVE. SAGE
QUERYING ALGEBRAIC OBJECTS SYSTEMS CALCULATORS & APPLETS
Querying Algebraic Objects System (QaoS) Calculator
ALGEBRAIC CALCULATORS & APPLETS
Algebraic Surface Solver (Algebraic Level Solver)
COMMUTATIVE ALGEBRA CALCULATORS & APPLETS
Computations in Commutative Algebra Calculator Computes
Rational Numbers; Polynomials; Linear Systems; Nonnegative Integer Solutions; Geographical Map Colouring; Heron's Formula; etc..." 
GUASSIAN INTEGERS CALCULATORS & APPLETS
Gaussian Integer Factorization Calculator
PERMUTATIONS AND COMBINATIONS CALCULATORS & APPLETS
Octonions, Quaternions & Division Algebra
Examples of "Octonion and other Division Algebras" Lessons include
Division Algebras, Lie Algebras, Lie Groups and Spinors; Octonion Introduction; Octonion Associated Matrices and Adjoint Algebras; Adjoint Octonions, Clifford Algebras and Spinors; Octonion Multiplication Tables; Partial Motivation: Aiming at Leech; etc..."
Algebraic Geometry
ALGEBRAIC GEOMETRY  J.S. Milne, Professor Emeritus, Department of Mathematics, College of Literature, Science & Arts, University of Michigan Multimedia Algebraic Geometry Course  PDF, 241 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Algebraic Geometry
Affine algebraic varieties; Algebaic varieties; Projective varieties; Complete varieties; Finite maps; Dimension theory; Algebraic spaces: geometry over an arbitrary field; Coherent sheaves; invertible sheaves; Descent Theory; etc..." Motivic Cohomology Courses, Textbooks, etc. LECTURES IN MOTIVIC COHOMOLOGY  C. Mazza, C.A. Weibel & V. Voevodsky, Hosted by C.A. Weibel, Mathematics Graduate Program, Department of Mathematics, Rutgers University Multimedia Lectures in Motivic Cohomology  PDF, 228 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Lectures in Motivic Cohomology" Chapters include
Nisnevich Sheaves with Transfers; The Triangulated Category of Motives; Higher Chow Groups; Zariski Sheaves with Transfers; etc..." GEOMETRIC ALGEBRA CALCULATORS & APPLETS
Examples of "Geometic Algebra" Calculators Subject Categories which include over "40" Geometic Algebra Applets include
Bivector Calculators; Outer Product Calculators; Triangle Calculators; Rotation Calculators; Oscillation Calculators; Circular polarized waves Calculators; Clifford's Circle Chain Theorem Calculators; etc..." 
Linear Algebra Courses
Linear Algebra Calculators & Applets ~ Matrix Calculators 
Linear Algebra Course
Factorization into A = LU PDF & Video Lectures; Column Space and Nullspace PDF & Video Lectures; Solving Ax = b: Row Reduced Form R PDF & Video Lectures; The Four Fundamental Subspaces PDF & Video Lectures; Graphs, Networks, Incidence Matrices PDF & Video Lectures; etc..."
Projection Matrices and Least Squares PDF & Video Lectures; Orthogonal Matrices and GramSchmidt PDF & Video Lectures; Cramer's Rule, Inverse Matrix and Volume PDF & Video Lectures; Eigenvalues and Eigenvectors PDF & Video Lectures; Diagonalization and Powers of A PDF & Video Lectures; Markov Matrices; Fourier Series PDF & Video Lectures; etc..."
Positive Definite Matrices and Minima PDF & Video Lectures; Similar Matrices and Jordan Form PDF & Video Lectures; Linear Transformations and their Matrices PDF & Video Lectures; Left and Right Inverses; Pseudoinverse PDF & Video Lectures; etc..." LINEAR ALGEBRA TEXTBOOK  Jim Hefferon; Department of Mathematics, Saint Michael's College, Colchester, Vermont Multimedia Linear Algebra Textbook  PDF, 443 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Linear Algebra Textbook
Linear Geometry of nSpace; Reduced Echelon Form; etc..."
Linear Independence; Basis and Dimension; etc..."
Homomorphisms; Computing Linear Maps; Matrix Operations; Change of Basis; etc..."
Jordan Form; etc..." LINEAR ALGEBRA: MATH 115A  T. Tao, Analysis Group, Department of Mathematics, Division of Physical Sciences, College of Letters and Science, UCLA VERY VERY EXTENSIVE. Multimedia Linear Algebra Course (Text & Images). Examples from over "9" "Linear Algebra" Course Lectures include
Dimension, Lagrange Interpolation, Linear Transformations Lecture; Null Spaces, Range, Coordinate Bases, Matrix Representation, Composition Lecture; Matrix Multiplication, Invertibility, Isomorphisms Lecture; Eigenvalues, Eigenvectors, Diagonalization Lecture; etc..."
LINEAR ALGEBRA CALCULATORS & APPLETS
Examples of Linear Algebra Calculators & Applets Subject Categories include
Systems of Linear Equation Calculators; Rank of a Matrix Calculators; Determinants Calculators; Vector Spaces, Bases and Dimensions Calculators; Linear Transformations Calculators; Inner Product Spaces Calculators; Orthogonal Projections and Orthonormal Bases Calculators..."
Linear Equations

Linear Algebra Toolkit
Determinants Calculators; Vector Spaces Calculators; Linear Transformations Calculators..."
Linear Calculator
LINEAR TRANSFORMATION APPLET  P. AtelaCortés, Department of Mathematics & Statistics, Smith College For more information see Pau AtelaCortés' Home Page or the Department of Mathematics & Statistics MATRIX CALCULATORS & APPLETS
Matrix Market
Search by matrix properties, by application area, by contributor); Interactive Generation; Matrix Structure Plots; Matrix Cityplots; 3D Interactive Cityplots; Spectral Portraits, etc..." DISTRIBUTION VECTORS AND POWERS OF THE TRANSITION MATRIX: A UTILITY FOR MARKOV PROCESS COMPUTATION  S. Waner (Emeritus), Department of Mathematics, Hofstra University VERY VERY EXTENSIVE. Distribution Vectors and Powers of the Transition Matrix Calculator
MATRIX CALCULATOR OR CALCULATRICE DE MATIRCE (FRANÇAIS)  Xiao Gang, Laboratoire J.A. Dieudonné, Université de Nice, Nice, France English & Français. Matrix Calculator
MATRIX ALGEBRA TOOL  S. Waner (Emeritus), Department of Mathematics, Hofstra University VERY VERY EXTENSIVE. Matrix Algebra Calculator
MATRIX CALCULATOR  Bluebit Software, Greece Matrix Calculator
MATRIX ALGEBRA CALCULATOR AND MARKOV CHAINS  H. Arsham, Division of Economics, Finance and Management Science, Merrick School of Business, University of Baltimore VERY EXTENSIVE. For more information see Matrix Algebra and Markov Chains Home Page; Business Statistics: Revealing Facts from Figures; Hossein Arsham's Home Page or the Merrick School of Business MATRIX CALCULATOR (JAVA APPLET)  R.B. Israel, Department of Mathematics, University of British Columbia. Canada VERY EXTENSIVE. Matrix Calculator
PIVOT AND GAUSSJORDAN TOOL  S. Waner (Emeritus), Department of Mathematics, Hofstra University VERY VERY EXTENSIVE. Pivot and GaussJordan Calculator is

Abstract Algebra Course
Index of Abstract Algebra Definitions; Index of Abstract Algebra Theorems; List of Abstract Algebra Theorems..." Examples of "Abstract Algebra Online" Course Chapters include
Functions; Groups; Polynomials; Rings; Fields; Structure of Groups; Galois Theory; Unique Factorization; Structure of Noncommutative Rings; Ideal Theory of Commutative Rings; etc..." ABSTRACT ALGEBRA  R.B. Ash (Emeritus), Department of Mathematics, University of Illinois, Urbana, Illinois Multimedia Abstract Algebra Course (Text & Images). VERY VERY VERY...EXTENSIVE. Abstract Algebra
Ring Fundamentals; Field Fundamentals; Module Fundamentals; Some Basic Techniques of Group Theory; Galois Theory; Introducing Algebraic Number Theory; Introducing Algebraic Geometry; Introducing Noncommutative Algebra; Introducing Homological Algebra..." ABSTRACT ALGEBRA  D.R. Wilkins, School of Mathematics, Faculty of Science, Trinity College, University of Dublin, Ireland Multimedia Abstract Algebra Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Abstract Algebra" Course Lectures include
Group Theory; Commutative Algebra; Introduction to Galois Theory; Hilbert's Nullstellensatz; Introduction to Affine Schemes; etc..." ELEMENTS OF ABSTRACT AND LINEAR ALGEBRA  E.H. Connell, Department of Mathematics, University of Miami Multimedia Elements of Abstract and Linear Algebra Course (Text & Images). VERY VERY VERY...EXTENSIVE. Elements of Abstract and Linear Algebra
Groups; Rings; Matrices and Matrix Rings; Linear Algebra..." ABSTRACT ALGEBRA, LOGIC, RUBIK'S CUBE, ETC. CALCULATORS & APPLETS
Son of Birdbrain is
Quasigroups and Loops; Ring Theory; Lattice Theory; Boolean Algebras; The Robbings Problem; Combinatory Logic; Equivalential Calculus..." ABELIAN & CLASS FIELD THEORY
ABELIAN VARIETIES  J.S. Milne, Professor Emeritus, Department of Mathematics, College of Literature, Science & Arts, University of Michigan Multimedia Abelian Varieties  PDF, 172 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Abelian Varieties
The theorem of the cube; Abelian varieties are projective; Isogenies; The dual exact sequence; Endomorphisms; Weil pairings; The Rosati involution; etc..." Chapter III: Jacobian varieties
The Jacobian variety as Albanese variety; autoduality; Generalizations; Obtaining the coverings of curve from its Jacobian; etc..." Class Field Theory Courses, Lectures, etc. CLASS FIELD THEORY  J.S. Milne, Professor Emeritus, Department of Mathematics, College of Literature, Science & Arts, University of Michigan Multimedia Class Field Theory Course  PDF, 287 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Class Field Theory
Cohomology of Groups; Brauer Group; Global Class Field Theory: Statements; Lseries and the Density of Primes; Global Class Field Theory: Proofs; etc..." FIELDS AND GALOIS THEORY
FIELDS AND GALOIS THEORY  J.S. Milne, Professor Emeritus, Department of Mathematics, College of Literature, Science & Arts, University of Michigan Multimedia Fields and Galois Theory Course  PDF, 111 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Fields and Galois Theory gives
Splitting fields; multiple roots; The fundamental theorem of Galois theory; Computing Galois groups; Applications of Galois theory; Infinite Galois theory; etc..." GALOIS THEORY  D.R. Wilkins, School of Mathematics, Faculty of Science, Trinity College, University of Dublin, Ireland Multimedia Galois Theory Course  PDF, 68 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Galois Theory" Course Chapters include
Rings and Polynomials; Polynomial Rings; Field Extensions; Splitting Fields and the Galois Correspondence; Galois’s Theorem concerning the Solvability of Polynomial Equations; etc..." Polynomials over Galois Fields POLYNOMIALS OVER GALOIS FIELDS  Florent Chabaud, Paris, France VERY VERY VERY...EXTENSIVE. Examples of "Polynomials over Galois Fields" Calculators with Tables include
irreducible polynomials over ternary field GF(3); primitive polynomials over field GF(7); a server that computes irreducible and primitive polynomials on demand..." ATLAS OF FINITE GROUP REPRESENTATIONS
ATLAS of Finite Group Representations
Linear Groups; Classical Groups;
GROUP THEORY, GROUPS, ETC.
GROUP THEORY  J.S. Milne, Professor Emeritus, Department of Mathematics, College of Literature, Science & Arts, University of Michigan Multimedia Group Theory Course  PDF, 123 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Group Theory" Course Chapters include
Free Groups and Presentations; Coxeter Groups; Automorphisms and Extensions; Groups Acting on Sets; The Sylow Theorems; Applications; Subnormal Series; Solvable and Nilpotent Groups; etc..." HILBERTS FIFTH PROBLEM (254A)  T. Tao, Analysis Group, Department of Mathematics, Division of Physical Sciences, College of Letters and Science, UCLA Multimedia Hilberts Fifth Problem Graduate Topics Course (Text & Images). VERY VERY VERY...EXTENSIVE. Hilberts Fifth Problem Graduate Topics Course
Building Lie structure from representations and metrics; Haar measure and the PeterWeyl theorem; The structure of locally compact groups, and Hilbert’s fifth problem; The microstructure of approximate groups; Applications of the structural theory of approximate groups; etc..." Group Theory, Groups, Calculators & Applets GALLIAN'S CONTEMPORARY ABSTRACT ALGEBRA  7TH EDITION (JAVA APPLETS)  J.A. Gallian, Department of Mathematics and Statistics, Swenson College of Science & Engineering, University of Minnesota, Duluth VERY VERY VERY...EXTENSIVE. Gallian's Contemporary Abstract Algebra
Gallian's Contemporary Abstract Algebra includes over "30" Abstract Algebra Calculators. GROUP THEORY: GROUPS OF ORDER 115 (JAVA APPLET)  J.J. Wavrik, Department of Mathematics, Division of Physical Sciences, University of California, San Diego For more information see John J. Wavrik's Home Page or the Department of Mathematics ALGEBRAIC KTHEORY
Examples of "The Kbook: An Introduction to Algebraic Ktheory" Chapters include
The Grothendieck group K_0; K_1 and K_2 of a ring; Definitions of higher Ktheory; The Fundamental Theorems of higher Ktheory; etc..." ALGEBRAIC THEORY OF DMODULES
Under Lecture Notes: Click on "Lectures on Algebraic Theory of Dmodules". Examples of "Lectures on Algebraic Theory of DModules" Chapters include
Sheaves of diﬀerential operators on smooth algebraic varieties; Direct and inverse images of Dmodules; Holonomic Dmodules; etc..." HOMOLOGICAL ALGEBRA
LECTURES ON DERIVED CATEGORIES  D. Milicic, Department of Mathematics, College of Science, University of Utah Multimedia Lectures on Derived Categories  PDF, 228 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Under Lectures: Click on "Lectures on Derived Categories". Examples of "Lectures on Derived Categories" Chapters include
Triangulated Categories; Derived Categories; etc..." LIE ALGEBRAS, LIE GROUPS, ALGEBRAIC LIE THEORY, ETC.
ALGEBRAIC LIE THEORY  Isaac Newton Institute for Mathematical Sciences, Hosted by: Streaming Media Service, University of Cambridge Multimedia Algebraic Lie Theory (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. Includes 143 "Algebraic Lie Theory" Videos. Examples of "Algebraic Lie Theory" Video Seminars include
Algeraic Lie Theory through the Symmetric Group Video; An algebraic slice in the coadjoint action of the Borel Video; Atypicality, complexity and module varieties for classical Lie superalgebras Video; Braid groups and representations of symmetric groups Video; CFSG and group theory Video; Compactification of DeligneLusztig varieties Video; etc..." Lie Groups and Lie Algebras Courses, Textbooks, etc. LIE ALGEBRAS  S. Sternberg, Department of Mathematics, Faculty of Arts and Sciences, Harvard University Multimedia Lie Algebras Course (Book)  PDF, 194 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Lie Algebras" Course (Book) Chapters include
The classical simple algebras; EngelLieCartanWeyl; Conjugacy of Cartan subalgebras; The simple ﬁnite dimensional algebras; Cyclic highest weight modules; Serre’s theorem; Cliﬀord algebras and spin representations; The Kostant Dirac operator; etc..." INTRODUCTION TO LIE GROUPS AND LIE ALGEBRAS  A. Kirillov, Jr., Department of Mathematics, State University of New York, Stony Brook (SUNYSB) Multimedia Introduction to Lie groups and Lie algebras  PDF, 177 Pages (Text & Images). Examples of "Introduction to Lie groups and Lie algebras" Course Chapters include
Lie Groups and Lie algebras; Representations of Lie Groups and Lie Algebras; Structure Theory of Lie Algebras; Complex Semisimple Lie Algebra; Representations of Semisimple Lie Algebras; etc..." LIE GROUPS  D. Milicic, Department of Mathematics, College of Science, University of Utah Multimedia Lie Groups Course  PDF, 160 Pages (Text & Images). Examples of "Lie Groups" Course Chapters include
Lie Groups; Compact Lie Groups; Basic Lie algebra theory; Structure of semisimple Lie algebras; etc..." LIE GROUPS AND REPRESENTATIONS  Peter Woit, Department of Mathematics, Columbia University Multimedia Lie Groups and Representations Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Lie Groups and Representations" Course Lectures include
The Adjoint Representation; More About the Exponential Map; Maximal Tori and the Weyl Group; Roots and Weights; Weyl Reflections and the Classification of Root Systems; Fundamental Representations and Highest Weight Theory; The Weyl Integral and Character Formulas; Homogeneous Vector Bundles and Induced Representations; Borel Subgroups and Flag Manifolds; The BorelWeil Theorem; Spin Groups; The Heisenberg Algebra; The Metaplectic Representation; etc..." Applied Mathematics & Applied Analysis
Examples of "Applied Mathematics" Course Chapters include
The Calculus of Variations; SturmLiouville Eigenvalue Problems; Stochastic Processes; etc..." APPLIED MATHEMATICS  P. Olver, School of Mathematics, College of Science & Engineering, University of Minnesota Multimedia Applied Mathematics Course (Text & Images). VERY VERY EXTENSIVE. Examples of "Applied Mathematics" Course Chapters include
Vibration and Diffusion in OneDimensional Media; The Laplace Equation; Dynamics of Planar Media; The Calculus of Variations; etc..." METHODS OF APPLIED MATHEMATICS (MATH 534B)  W.G. Faris, Department of Mathematics, College of Science, University of Arizona Multimedia "Methods of Applied Mathematics" Course  PDF, 83 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Click on Lecture Notes Examples of "Methods of Applied Mathematics" Course Chapters include
Bounded Operators; Densely Deﬁned Closed Operators; Normal operators; Calculus of Variations; Perturbation Theory; etc..."
Examples of "Applied Analysis" Course (Book) Chapters include
The Contraction Mapping Theorem; Banach Spaces; Hilbert Spaces; Bounded Linear Operators on a Hilbert Space; Linear Differential Operators and Green's Functions; Measure Theory and Function Spaces; etc..."
Examples of "Lecture Notes and Background Materials on Linear Operators in Hilbert Space" Chapters include
Completely Continuous Operators; Spectral Theory for SelfAdjoint Operators; Spectral Theory for Secondorder Ordinay Differential Optereators; etc..." Commutative Algebra
Commutative Algebra
"...The idea is to help the student reach an advanced level as quickly and efficiently as possible. In Chapter 1, the theory of primary decomposition is developed so as to apply to modules as well as ideals. In Chapter 2, integral extensions are treated in detail, including the lying over, going up and going down theorems. The proof..."
Primary Decomposition and Associated Primes; Integral Extensions; Valuation Rings; Completion; Dimension Theory; Depth; Homological Methods; Regular Local Rings; etc..." 
Addition and Multiplication Tables in Various Bases
BASE CONVERSION: BINARY; TERNARY; QUINTAL; OCTAL; DECIMAL & HEXADECIMAL  Alexander Bogomolny Base Conversion Calculator INPUT Values include:
BASEN CONVERSIONS CALCULATOR  eFunda, Inc. BaseN Conversions Calculator
BINARY, TERNARY, QUINTAL, OCTAL, DECIMAL & HEXADECIMAL CALCULATOR  P. van den Steen, SubnetOnline.Com Base Conversion Calculator INPUT Values include:
CONVERT DECIMAL FLOATINGPOINT TO 32BIT, 64BIT & 128 BIT HEXADECIMAL
FloatingPoint Conversion Calculator:
CONVERT 32BIT HEXADECIMAL REPRESENTATION TO DECIMAL FLOATINGPOINT
FloatingPoint Conversion Calculator:
CONVERT 64BIT HEXADECIMAL REPRESENTATION TO DECIMAL FLOATINGPOINT
FloatingPoint Conversion Calculator:

MECHANICS AND THE BICYCLE LESSONS, CALCULATORS & APPLETS LINEAR ALGEBRA AND THE BICYCLE CALCULATORS & APPLETS FOR CYCLING COURSES, LESSONS, CALCULATORS, APPLETS SEE CYCLING Some examples BICYCLE AERODYNAMICS  B.S.H. Royce & A.J. Smits, Gas Dynamics Laboratory, Department of Mechanical and Aerospace Engineering, Princeton University Multimedia Aerodynamics of Bicycles Course (Text, Images & Animations). VERY VERY VERY...EXTENSIVE. For more information see Gas Dynamics Laboratory or the Department of Mechanical and Aerospace Engineering
Pressure
Streamlines and Streamtubes Streamlines
Drag of Blunt Bodies and Streamlined Bodies Drag of Blunt Bodies and Streamlined Bodies
Analytic Cycling
BikeCAD
WheelCAD
TandemCAD Calculator TandemCAD
FullSuspensionCAD Calculator FullSuspensionCAD
Central Limit
Central Limit Calculator INPUT Values include:
Number of Samples; etc..." CENTRAL LIMIT THEOREM  B. Zielman, Netherlands Central Limit Calculator

CATASTROPHE THEORY (JAVA APPLETS)  L. Dujardin, Faculty of Pharmacy, Lille Cedex, France Multimedia Catastrophe Theory Lessons with Java Applets (Text & Images). In English & French/Français. VERY VERY EXTENSIVE. For more information see Lucien Dujardin's Home Page
CHAOS COURSES & TEXTBOOKS WITH CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Introduction To Chaos
Diagnostics; Application to Experiment; Bifurcations; Period Doubling Route to Chaos; Quasiperiodicity, Chaos and Frequency Locking; etc..."
The Lorenz Model Applets include:
Power Spectrum Applet; Parameter Dependence Applet; Poincare Section Applet; etc..." Chapter 5: 2Dimensional Maps Applets 2Dimensional Maps Applets include:
Chapter 7: Lyapunov Exponents Applets Lyapunov Exponents Applets include:
Bakers' Map Applet (comparison with known results); 2D Circle Map Applet; etc..." Chapter 14: Bifurcations in the Quadratic Map Applets Bifurcations in the Quadratic Map Applets include:
Patterns in the Sine Map Applet; etc..." Chapter 19: 1D Circle Map Applets 1D Circle Map Applets include
Onset of Chaos from Quasiperiodic Motion Applet; Onset of Chaos in the Locked Tongues Applet; etc..." CHAOS CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
In English & Russian. Examples of Chaotic Maps Subject Categories & Chaotic Maps include:
Strange Cantor repeller; Quadratic maps; Bifurcation diagram for quadratic maps; Chaotic quadratic maps; etc..."
Smale horseshoe and 2D strange repellers; Homoclinic strucrures and horseshoe; etc..."
The Standard map; Homoclinic structures in the standard map; Resonances; etc..."
Symbolic dynamics and Periodic orbits; etc..."
Feigenbaum bifurcation approach to Chaos Calculator allows you to
THE HENON MAP (JAVA APPLET)  B. Casselman, Department of Mathematics, Faculty of Science, University of British Columbia, Vancouver, Canada Henon Map Applet
ITERATIVE MAP DEMO (JAVA APPLET)  E. Woolgar, Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada Iterative Map
PATTERN FORMATION IN NONEQUILIBRIUM SYSTEMS: PHYSICS 161B  M. Cross, Condensed Matter Physics Group, Department of Physics, Division of Physics, Mathematics and Astronomy, California Institute of Technology (Caltech) VERY VERY VERY...EXTENSIVE. Pattern Formation in Nonequilibrium Systems Subject Categories include:
Signal Propagation in Excitable Media..."
Patterns & Spatiotemporal Choas

ADDITIVE COMBINATORICS (21801)  Alan Frieze, Department of Mathematical Sciences, Carnegie Mellon University Multimedia Additive Combinatorics Course (Text & Images). VERY VERY VERY...EXTENSIVE. For more information see Combinatorics Home Page; Teaching; Alan Frieze's Home Page or the Department of Mathematical Sciences
Additive Combinatorics: Sumsets and Structure Lecture Notes by Imre Z. Ruzsa, Alfred Renyi Institute of Mathematics, Budapest, Hungary Multimedia Additive Combinatorics: Sumsets and Structure Lecture Notes PDF, 102 Pages (Text & Images COMBINATORICS (MATH 636)  C. Hanusa, Department of Mathematics, Queens College, The City University of New York, New York Multimedia Combinatorics Course (Text & Images). VERY VERY EXTENSIVE. Examples of "Combinatorics" Course Lectures include
Generating Functions; Multiplying two generating functions; Solving recurrence relations; Pattern avoidance; etc..." COMBINATORICS CALCULATORS, APPLETS, ETC.
SAGE
Complex Analysis & Complex Numbers
Click on Lecture Notes on Complex Analysis. Examples of "Complex Analysis" Course Chapters include
Properties of Holomorphic Functions; Properties of Fractional Linear Transformations; Laurent Series and Singular Points; etc..." COMPLEX ANALYSIS CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Complex Analysis
Conformal Compactifaction Calculator
The Honeycomb Calculator The Honeycomb Calculator
Complex Plane Calculator Complex Plane Calculator
Taylor and Laurent Expansions Calculator Taylor and Laurent Expansions Calculator
COMPLEX NUMBER CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Big Number Scientific Calculator is a
COMPLEX NUMBER CALCULATOR  D.A. Alpern, Buenos Aires, Argentina VERY VERY VERY...EXTENSIVE. Complex Number Calculator:
GAUSSIAN INTEGER FACTORIZATION APPLET  D.A. Alpern, Buenos Aires, Argentina VERY VERY VERY...EXTENSIVE. Gaussian Integer Factorization Calculator

MANAGEMENT WITH THE PLAN MANAGER (PM) AGENT  C. Petrie, Center for Design Research, Stanford University VERY VERY EXTENSIVE. Plan Manager (PM) Agent Calculator
COMPLEX SYSTEMS CALCULATORS & APPLETS  AGENTBASED
SCHELLING'S MODEL OF SEGREGATION  F. McCown, Department of Computer Science, Harding University; Hosted by Nifty Assignments Session at the annual SIGCSE, Department of Computer Science, Stanford University For more information see Frank McCown's Home Page 
Examples from over "30" "Computational Physics" Course Lectures include
RungeKutta code for integrating the simple harmonic oscillator; The Kepler problem; Monte Carlo simulations in Statistical Physics; The zeroes of the Riemann zeta function; The Duffing equation (transition to chaos in a differential equation) ; The Sierpinski gaske; Quantum wells  Eigenvalues of the Schrödinger equation for a rectangular well; Quantum wells  Eigenvalues of the Schrödinger equation for a sech2 well; etc..." COMPUTATIONAL SCIENCE CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Computational Science Applets & Computational Science Calculators Subject Categories include:
Linear Equations; Linear Least Squares; Eigenvalue Problems; Nonlinear Equations; Optimization; Interpolation; Integration and Differentiation; Ordinary Differential Equations; Partial Differential Equations; Fast Fourier Transform; Random Numbers and Simulation; etc..." Computer Algorithms, Interval Analysis, Scientific Computing, MATLAB, etc.
INTRODUCTION TO ALGORITHMS  2011  E. Demaine & S. Devadas, Department of Electrical Engineering and Computer Science, & the MIT OpenCourseWare, MIT Multimedia Introduction to Algorithms Course (Text, Images, Videos/Movies & Audio/Sound) VERY VERY VERY...EXTENSIVE. Introduction to Algorithms
Insertion Sort, Merge Sort Video Lecture; Binary Search Trees, BST Sort Video Lecture; HCounting Sort, Radix Sort, Lower Bounds for Sorting Video Lecture; Open Addressing, Cryptographic Hashing Video Lecture; Integer Arithmetic, Karatsuba Multiplication Video Lecture; Dynamic Programming I: Fibonacci, Shortest Paths Video Lecture; Computational Complexity Video Lecture; etc..." COMPUTER ARITHMETIC ALGORITHMS CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Examples of "Computer Arithmetic Algorithms" Calculators Subject Categories include
Multiplication Computer Arithmetic Algorithms Calculators; Division Computer Arithmetic Algorithms Calculators; Square Root Computer Arithmetic Algorithms Calculators; FloatingPoint Arithmetic Computer Arithmetic Algorithms Calculators; Elementary Functions Computer Arithmetic Algorithms Calculators; Unconventional Number Systems Computer Arithmetic Algorithms Calculators; etc..."
Ripple Carry Adder Calculator INPUT Values include:
Multiplication Algorithms: 2's Complement Array Multiplier with Timing Calculator 2's Complement Array Multiplier with Timing Calculator INPUT Values include:
Division Algorithms: Division using overlapping SRT stages Calculator Division using overlapping SRT stages Calculator INPUT Values include:
Type of divider to use (srt4 comprised of 2 srt2; srt8 comprised of 3 srt2; srt16 comprised of 4 srt2; etc.); Signal Delays (CSA; 3 input Mux; 7 input Mux; etc.)..." Square Root Algorithms: Nonrestoring Square Root Calculator Nonrestoring Square Root Calculator INPUT Values include:
FloatingPoint Arithmetic Algorithms: Floating Point Demonstration of FAR and CLOSE cases Calculator Floating Point Demonstration of FAR and CLOSE cases Calculator INPUT Values include:
Signal Delays (Pred. Exponent; Pred. Leading Zeroes; Simple 2 to 1 Mux; etc.)..." Elementary Functions Algorithms: Trigonometric Functions Calculator Trigonometric Functions Calculator INPUT Values include:
Unconventional Number Systems Algorithms: Residue Addition and Multiplication Calculator Residue Addition and Multiplication Calculator INPUT Values include:
Miscellaneous Algorithms: Wallace CarrySave Tree Calculator Wallace Tree Simulations Calculator INPUT Values include:
INTERVAL ANALYSIS CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Examples of "Interval Arithmetic" Calculators include
IAEval "...a simple Interval Arithmetic Evaluator..." GIAEval "...A General Interval Arithmetic Evaluator..." SCIENTIFIC COMPUTING
Examples of "Scientific Computing" Course Subject Categories & Subcategories include
SelectablePrecision Calculator; Quadratic Formula; Infinite Series; etc..."
Gaussian Elimination; GaussJordan Elimination; etc..."
Householder QR Factorization; GramSchmidt QR Factorization; etc..."
Jacobi's Method; etc..."
Newton's Method; Secant Method; etc..."
Unconstrained Optimization in Two Dimensions; Constrained Optimization in Two Dimensions; etc..."
Taylor Interpolation; Newton Interpolation; Error Bounds; Piecewise Cubic Interpolation; etc..."
Numerical Differentiation; Richardson Extrapolation; Romberg Integration; etc..."
RungeKutta; Extrapolation; PredictorCorrector; Galerkin; etc..."
Advection Equation; Burgers' Equation; etc..."
Digital Filtering; etc..."
Buffon Needle Problem; QuasiRandom Sequences; etc..." MATHEMATICAL SOFTWARE INDEXES

Continued Fraction Calculator
"...For rational numbers the calculator finds all convergents, but for quadratic irrationalities the calculator stops after the 100000th convergent if the period is larger..." CONTINUED FRACTIONS (JAVA APPLETS)  J.J. Holt (University of Virginia) & J.W. Jones (Arizona State University) and hosted by the Department of Mathematical Sciences, Michigan Technological University; a W. H. Freeman and Company Production VERY EXTENSIVE. For more information see Number Theory; MathLab or the Department of Mathematical Sciences
Curves
Examples from over "24" "Elliptic Curves" Course Lectures include
Isogenies; Endomorphism rings; Schoof's algorithm; Discrete logarithms; Elliptic curve factorization; Elliptic curve primality proving (ECPP) Endomorphism algebras; Elliptic functions, Eisenstein series, Weierstrass pfunction; Orders, ideals, class groups, isogenies over C; The main theorem of complex multiplication; etc..." CURVES CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS  ALL INCLUSIVE
INTEGRAL CURVES CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Integral Curves Calculator
HILBERT CURVES CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS,
PEANO CURVES CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS PEANO CURVE APPLET  F.C. Schoute (Emeritus), Department of Electrical Engineering, TU Delft, The Netherlands Peano Curve
SPLINE CURVES CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Explicit Spline Curves Calculators include:
Quadratic Curve Calculator..." BSpline Curves Calculators BSpline Curves Calculators include:
Free BSpline Calculator; BSpline with Clamped Ends Calculator..." Bézier Surfaces 
DIFFERENTIAL EQUATIONS  A. Mattuck (Emeritus), H. Miller, J. Orloff & J. Lewis, Department of Mathematics, MIT OpenCourseWare, MIT VERY VERY VERY...EXTENSIVE. Multimedia Differential Equations Course (Text, Images, Videos/Movies & Audio/Sound). Differential Equations
Geometric Methods PDF & Video Lectures; Linear ODE's PDF & Video Lectures; Complex Arithmetic PDF & Video Lectures; Constant Coefficients PDF & Video Lectures; Autonomous Equations PDF & Video Lectures; Linear vs. Nonlinear PDF & Video Lectures; etc..."
Damped Oscillator PDF & Video Lectures; Gain and Phase Lag PDF & Video Lectures; Undetermined Coefficients PDF & Video Lectures; Linear Operators PDF & Video Lectures; Frequency Response PDF & Video Lectures; etc..."
Step and Delta PDF & Video Lectures; Laplace Transform PDF & Video Lectures; Partial Fractions PDF & Video Lectures; Transfer Functions PDF & Video Lectures; etc..."
Phase Portrait PDF & Video Lectures; Matrix Exponentials PDF & Video Lectures; Nonlinear Systems PDF & Video Lectures; Limit Cycles and Chaos PDF & Video Lectures; etc..."
Examples of "Differential Equations" Course Chapters & Subchapters include
Separable Equations; Intervals of Validity; Modeling with First Order Differential Equations; etc..."
Fundamental Sets of Solutions; Nonhomogeneous Differential Equations; Undetermined Coefficients; etc..."
Step Function; Nonconstant Coefficient IVP's; etc..."
Solutions to Systems; Real Eigenvalues; Complex Eigenvalues; Nonhomogeneous Systems; etc..." PARTIAL DIFFERENTIAL EQUATIONS (231 A, B & C)  B.K. Driver, Department of Mathematics, Division of Physical Sciences, University of California, San Diego Multimedia Partial Differential Equations Course (Text & Images). VERY VERY VERY...EXTENISVE. Examples of "Partial Differential Equations" Course Lectures include
Nonlinear first order PDE; Cauchy  Kovalevskaya Theorem; Elliptic second order ODE; Compact and Fredholm Operators; Surface integrals and the divergence theorem; Fourier Transform; Constant Coefficient PDE; Heat Equation; Abstract wave Equation; Weak and Strong Derivatives; Sobolev Spaces; Holderspaces; Sobolev Inequalities; etc..." AN INTRODUCTION TO STOCHASTIC DIFFERENTIAL EQUATIONS  Lawrence C. Evans, Department of Mathematics, College of Letters & Science, University of California, Berkeley Multimedia An Introduction to Stochastic Differential Equations Course  PDF, 139 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "An Introduction to Stochastic Differential Equations" Course Chapters include
A crash course in basic probability theory; Brownian motion and "white noise"; Stochastic integrals, Itô’s formula; Stochastic diﬀerential equations; Applications..." Graduate ENTROPY AND PARTIAL DIFFERENTIAL EQUATIONS  Lawrence C. Evans, Department of Mathematics, College of Letters & Science, University of California, Berkeley Multimedia Entropy and Partial Differential Equations Course  PDF, 213 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Graduate Course. Examples of "Entropy and Partial Differential Equations" Course Chapters include
Entropy and irreversibility; Continuum thermodynamics; Elliptic and parabolic equations; Conservation laws and kinetic equations; Hamilton–Jacobi and related equations; Entropy and uncertainty; etc..." DIFFERENTIAL EQUATIONS CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
DFIELD & PPLANE Calculators
DFIELD Calculator
INTERACTIVE MATH PROGRAMS:: INTRODUCTION TO DIFFERENTIAL EQUATIONS & MULTIVARIABLE MATHEMATICS  R.E. Williamson (Emeritus), Department of Mathematics, Dartmouth University VERY VERY VERY...EXTENSIVE. Multivariable Mathematics & Differential Equations Calculators & Applets Subject Categories include:
First Order Equations Calculators & Applets; Second Order Equations Calculators & Applets; Higher Dimensional Systems Calculators & Applets; Partial Differential Equations Calculators & Applets.
Direction Field Calculator
First Order Equations: FirstOrder DE Calculator FirstOrder DE Calculator
Second Order Equations: Timesect Calculator Timesect Calculator
Examples of Differential Equations Calculators & Applets include
An Application to Population Dynamics; Slope Field Calculator; ODE 2D Calculator; ODE 3D Calculator; A LotkeVolterra System; 2D Map Calculator; A model of sunam; The two body problem; Van der Pol Equation; Browser test; etc..."
Examples of Differential Equations Calculators & Applets include
Direction fields; 2D,3D,4D,5D,6D,7D,8D systems; Population Dynamics: Elks, Coyotes and Wolves in Yellowstone Park; Circuit; Limit cycle for the Van der Pol equation; HodginHuxley equations; Chemostat; Gardner/Cantor/Collins Synthetic E.Coli Toggle Switch equations; etc..." 
ODE Calculator:
DIFFERENTIAL EQUATIONS (JAVA APPLETS)  J. Feldman, Department of Mathematics, Faculty of Science, University of British Columbia, Vancouver, B.C., Canada VERY EXTENSIVE. For more information see Joel Feldman's Home Page or the Department of Mathematics
Simple ODE Solver
Euler's Method Applet Euler's Method Applet
Phase Plane Plots Calculator Phase Plane Plots Calculator
The Heat Equation Calculator The Heat Equation Calculator
Numberical Advection Calculator
THE SHOCK APPLET  S.A. Sarra, Department of Mathematics, College of Science, Marshall University Shock Calculator
VISUAL DIFERENTIAL EQUATION SOLVER (JAVA APPLET)  P. Falstad VERY EXTENSIVE. Visual Differential Equation Solver
Secondorder Linear Differential Equation with Constant Coefficient; Harmonic Oscillator; Bessel's Equation; Legendre's Equation; Hermite's Equation; Jacobi's Equation; Duffing's Equation; Van der Pol's Equation; etc..." DIFFERENTIAL EQUATION SOFTWARE PROGRAMS FOR DOWNLOADING
Overture
SUITE OF NONLINEAR AND DIFFERENTIAL/ALGEBRATIC EQUATION SOLVERS (SUNDIALS)  Center for Applied Scientific Computing (CASC), Lawrence Livermore National Laborabory (LLNL) VERY VERY VERY...EXTENSIVE. SUNDIAL Software Includes:
Discrete Mathematics
Examples of "Discrete Mathematics for Computer Science" Course Lectures include
Polynomials, Secret sharing; Conditional probability; Hashing; Random variables; Variance; Infinity, countability; etc..." DISCRETE MATHEMATICS CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
DISCRETE MATHEMATICS ALGORITHMS (JAVA APPLETS)  P. Athanasios, D. Nikolaos, & P. Panagiiotis, Univercity Of Patras, Greece Multimedia Discrete Mathematics Lessons (Text & Images). VERY VERY EXTENSIVE. For more information see Papagelis Athanasios' Home Page
FAIR DIVISION ALGORITHMS CALCULATORS & APPLETS
MARKOV CHAINS CALCULATORS & APPLETS
Markov Chain Monte Carlo Calculators
MetropolisHastings Algorithms
Simulated Annealing Calculator Simulated Annealing
Catalytic Coupling Calculator Coupling Constructions for Markov Chains
PumpSimulator Calculator PumpSimulator Calculator
OneDimensional "Independence Sampler" Metropolis Algorithm Markov Chain Calculator
Onedimensional "slice sampler" Markov Chain Onedimensional "slice sampler" Markov Chain
"Coupling from the past" Algorithm "Coupling from the past" Algorithm

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