College Math Resources

Query Results for First Year Calculus

Here are items which have been reviewed as relevant to the topic First Year Calculus.

Online Graphing Calculators by Barry Cherkas, Hunter College (CUNY)

Global Institute of Mathematics

General Resources Catalogues ILove Calculus CalculusResources@langara Calculus Guide from ChineseInternationalSchool calculus@internet-www.calculus.net MathematicsArchivesCalculus Resources On-Line CalculusResource Page @UC Davis Course Notes and Collections CalculusForBeginners@mit S.O.S.Math - Calculus(@uTexas elPaso) Full Courses MATH-abundance("uppersecondary" tutorial from Belgium) UBCCalculusOnline M100 Calculus &Mathematica Edwards/PenneyCalculus Website(@prenhall) InteractiveTextbook of PFP 96(physics based calculus)@uPenn CalculusOnWeb(exercises)@TempleU BasicCalculus : From Archimedes to CalculusQuest(@OregonState) AppliedCalculus & FiniteMath (@Hofstra) ConnectedCalculus(byWattenberg@montana) JAVACalculusby David Yuen TopicSummary Index(re Warner&Costenoble S.O.S.Math - Calculus(@uTexas elPaso) UBCCalculusOnline M101 CalculusExplorations using Mathematica Bradley/SmithCalculus Website(@prenhall) InteractiveTextbook for PFP 98(java version)@uPenn VisualCalculus(wMathView)(@archives.uTennKnoxville) e-Calculus(@uAkron.ohio)(pdf documents) Tutorial Index(re Waner&Costenoble Item Collections Calculus&DEwithMathematica-items@IndianaUofPenn manipulamathcalculusapplets@ies Calculusgraphics(gifs)-- Douglas N. Arnold@pennState someMathcad&MapleLabs@odu CalculusProblems&Solutions(by DKouba@ucDavis) Calculusgraphics (java)-- Douglas N. Arnold@pennState CalculusAnimations(Mathcad+QT)@odu Application Collections CalculusApplicationLabs@U of Minnesota Tableof Applied Examples (by EricHiob@bcit) Mathematical Oddities Galleryof Calculus Pathologies(byTVogel@TexA&M)
Limits and Continuity CoolMath - Karen's Limits Page! Limits of Sequences Recurrence(1)@ies CoolMath - Karen's Limits Page! Recursion(3)@ies (graphics.h...archimedes)byDougArnold@pennState Iteratingf(x)=ax(1-x)@ies GraphicalIteration Recurrence(2)@ies Areaof Circle Applet byDanSloughter@furman FeigenbaumPlot@ies (graphics-j...archimedes)byDougArnold@pennState Discrete Inhibited Population Growth Applet byDanSloughter@furman Limits of Functions Definition Limitsof Functions(@InteractiveRealAnalysis) Examples eby lim @ies (graphics.html#limits)byDougArnold@pennState (graphics.html#sinlim)byDougArnold@pennState Limits(MathCad+QT@odu) Pickthecorrect limit! by David Yuen Limitsin x/x@ies (graphics-j.html#limits)byDougArnold@pennState (graphics-j.html#sinlim)byDougArnold@pennState Visualizationofvarious limits@ies Applications DampedHarmonic Motion (mass on spring) Spirograph(byAnuGarg) TheCoffeecup Caustic Continuity Definition Definitionof Continuity@CalQuest.oregonStU Continuity(inIRAbyWachsmut@setonHall) Continuousfunctions(in AnalysisWebnotes by jOrr@uNebLincoln) Examples Intermediate Value Theorem Karl BisectionMethod Tutorial Continuity and Differentiability Continuityand Differentiability(@ubc)
Derivatives DampedHarmonic Motion (mass on spring) Motivation and Definition Introductionto Derivative Concept (@ubc) Intro to Derivatives (Summary Page) from Hofstra project Tangent Slopes MathsOnlineGallery(@uVienn.austria) derivative(asTanSlope) Surfing(Derivatives)@ies StressedOut - Slope as Rate of Change Animation:allthe tangent lines to a curve (graphics-j.html#tangent)byDougArnold@pennState Derivatives--Introduction -- Curved Mirrors VisualCalculus- Tangent Lines (graphics.html#tangent)byDougArnold@pennState Approximation by Secant Lines VisualCalculus- Tangent Lines derivDef@ies (graphics-j.html#secants)byDougArnold@pennState Animation:Secantapproaching the Tangent derivOneSide@ies SecantGrapherbyJohnOrr@uNebraskaLincoln (graphics.html#secants)byDougArnold@pennState Sec&TanLines@ies AffineApprox Applet byDanSloughter@furman TangentLine Applet byDanSloughter@furman Average and Instantaneous Rate (graphics.html#bounce)byDougArnold@pennState CalculusOnline@ubc: Lab 2(avg&inst rates) (graphics-j.html#bounce)byDougArnold@pennState Graphical Interpretation DerivativePlotter LnGraphCircle@ies Pick the correct derivative! by David Yuen Whatdoes the derivative tell us about a function?(@ubc) CurvatureCircle@ies Computation From Definition Special Cases Powers Exponentials and Logarithms KarlsCalculusTutor - 6.1 Be Fruitful and Multiply Derivativesof Exponentials(@ubc) eby slope@ies Trig Functions Trigonometry& TrigFunctions@langara derivSinAnimation@odu DerivSin@ies Derivativesof Trigonometric functions(@ubc) Inverse Trig InverseTrigonometric Functions(@ubc) Combination Rules ProdRule@ies DifferentiatingSums(@ubc) DifferentiatingQuotients(@ubc) Introductionto Derivatives Computation(@ubc) DifferentiatingProducts(@ubc) Sums and Constant Multiples Product Rule Quotient Rule Chain Rule CompositeFunctions@ies TheChain Rule(@ubc) ChainRule@ies Implicit Differentiation ImplicitDifferentiation(@ubc) Applications Limits L'Hopital's Rule @ies Rates of Change ProjectileApplet byDanSloughter@furman Motionof a piston - An application of differential calculus in robotics(@bcit) DampedHarmonic Motion (mass on spring) Related Rates Applicationsof The Chain Rule(@ubc) Approximation CalculusOnline@ubc: M100Lab 5(N'sMethod, &Euler's) AffineApprox Applet byDanSloughter@furman CalculusOnline@ubc: M101Lab 6(TaylorPolys&Series) (graphics-j...fferential)byDougArnold@pennState TaylorSeries @Eric'sTreasureTroves Newton'sMethod(@ubc) BisectionMethod Tutorial CalculusOnline@ubc: M100Lab 6(Lin,Quad,&Taylor) (graphics.h...fferential)byDougArnold@pennState CalculusOnline@ubc: M101Lab 6 Solutions Newton'sMethod Applet byDanSloughter@furman TaylorPolys Applet byDanSloughter@furman Optimization Box Volume Problem with Animation and Graphs (graphics-j...fferential)byDougArnold@pennState MathsOnlineGallery(@uVienn.austria) SimpleMaxAreaProblem TaylorSeries @Eric'sTreasureTroves Newton'sMethod(@ubc) VisualFitApplet (re LeastSquares)byTaur@JSE BisectionMethod Tutorial CalculusOnline@ubc: M100Lab 6(Lin,Quad,&Taylor) (graphics.h...fferential)byDougArnold@pennState CalculusOnline@ubc: M101Lab 6 Solutions Newton'sMethod Applet byDanSloughter@furman Optimizationfor Economics byOsborne@UofT TaylorPolys Applet byDanSloughter@furman CalculusOnline@ubc: M100Lab 5(N'sMethod, &Euler's) AffineApprox Applet byDanSloughter@furman CalculusOnline@ubc: M101Lab 6(TaylorPolys&Series) Graphing derivCubics@ies Parametric Curves PrecalParamEqs@langara http://archives.math.utk.edu/visual.calculus/3/parametric.2/ Polar Graphs PrecalPolars@langara VisualCalculus / Tangent Lines to Polar Graphs - 1 Miscellaneous Introducinga Differential Equation(@ubc) EquilibriumTheoryfor Econ byOsborne@UofT TheZebra Danio and its escape response(@ubc) AnApplication of Differential Calculus to Food Technology(@bcit) CalculusOnline@ubc: M100Lab 4(diffEq's) Derivatives--Introduction -- Curved Mirrors Twoexamples of differential calculus in electronics(@bcit) Theory Differentiability Calc1 pathologies(byTVogel@TexA&M) derivOneSide@ies MathsOnlineGallery(@uVienn.austria) NowhereDiffble (graphics.html#jagged)byDougArnold@pennState Continuityand Differentiability(@ubc) (graphics-j.html#jagged)byDougArnold@pennState Mean Value Theorem MVT@ies
Integration VisualCalculus / Integration (graphics.h...archimedes)byDougArnold@pennState Just doing Integrals Areaof Circle Applet byDanSloughter@furman (graphics-j...archimedes)byDougArnold@pennState Antiderivatives antiderivatives@hofstra MathsOnlineGallery(@uVienn.austria)AreaSoFar(forHandDrawnGraph) CumulativeArea Applet byDanSloughter@furman Definite Integrals RiemSumsApplet(1eg)&Notesby JohnOrr@uNebLincoln AnalysisWebNotes:Riemann Sums (graphics.h...archimedes)byDougArnold@pennState RiemSumApplet(justfor y=x^2)@ies Areaof Circle Applet byDanSloughter@furman (graphics-j...archimedes)byDougArnold@pennState Fundamental Theorem CalculusOnline@ubcM101Lab2 Solutions FTC@ies CumulativeArea Applet byDanSloughter@furman CalculusOnline@ubc: M101Lab 2(Basic Concepts & FTC) FTCinVisualCalculus@utk MathsOnlineGallery(@uVienn.austria)AreaSoFar(forHandDrawnGraph) Techniques of Integration Trigonometric Integrals -byDHart@indiana Just doing Integrals Special Cases Linearity Change of Variable Changeof Variable Applet byDanSloughter@furman Techniquesof Integration : Substitution(@sosMath) Integration by Parts Techniquesof Integration : Integration by Parts(@sosMath) Integration by Parts Proof in Visual Calculus @utk Partial Fractions PartialFraction Decomposition(@uSask TheMethod of Partial Fractions(@sosmath.utep) Numerical Methods NumericalIntegration @uUtah RiemSumApplet(justfor y=x^2)@ies NumericalIntegration : Accumulating Change(@geom.umn) RiemSumsApplet(1eg)&Notesby JohnOrr@uNebLincoln Lab3 Solutions NumericalIntegration Rules Applet byDanSloughter@furman AnalysisWebNotes:Riemann Sums Just doing Integrals CalculusOnline@ubc: M101Lab 3(arclength&numericalintegration) Improper Integrals ImproperIntegrals: Introduction Improper Integral Examples inVisualCalculus@utk ImproperIntegrals @WorcesterPolytech Applications (graphics-j.html#twocyls)byDougArnold@pennState volbyslice(1)@ies VisualCalculus / Areas bounded by polar curves. (graphics-j...#crosssecs)byDougArnold@pennState volrev(1)@ies Anapplication of integration to mining ArcLength(MathCad+QT@odu) (graphics.html#twocyls)byDougArnold@pennState Lab3 Solutions (graphics.html#crosssecs)byDougArnold@pennState volbyslice(2)@ies Anapplication of integration to petroleum AreaInside a Parametric Curve(MathCad+QT@odu) volrev(2)@ies CalculusOnline@ubc: M101Lab 3(arclength&numericalintegration) Areas Parametric Area Example by lHusch@utk(VisualCalculus) Parametric Volumes Arc Length PolygonalArcLengthExamples by jCarlson@utah PolygonalArcLengthExamples byDJHeath@plu Sample Calculation fromVisualCalculus byLHusch@utk Mass Electric Charge Work Probability Integrals Calculusand Probability CalculusOnline@ubc: M101Lab 5(integrals for probability) CalculusOnline@ubc: Lab 3(ProbDensityFns) Lab5 Solutions
Series Progressionof Differences@ies Precalculusmaterial on Sequences and Series@langara Calc2pathologies(byTVogel@TexA&M) geometricseries(nCCPbyWattenberg@montana) VisualCalculus / Sequences&Series MathsOnlineGallery(@uVienn.austria) - Power series InfiniteSeries(MathCad+QT@odu) CalculusOnline@ubc: M101Lab 6 Solutions Sumof geometric series@ies Noteson Series@utah TaylorSeries @Eric'sTreasureTroves Sequencesand series(@ArkansasStU) CalculusOnline@ubc: M101Lab 6(TaylorPolys&Series) Sequences of Numbers of Functions Series of Numbers of Functions Taylor Series TaylorSeries @Eric'sTreasureTroves CalculusOnline@ubc: M101Lab 6(TaylorPolys&Series) MathsOnlineGallery(@uVienn.austria) - Power series CalculusOnline@ubc: M101Lab 6 Solutions Fourier Series

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