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 CalculusResources@langara calculus@internet-www.calculus.net CalculusResource Page @UC Davis Calculus Guide from ChineseInternationalSchool MathematicsArchivesCalculus Resources On-Line ILove Calculus Course Notes and Collections CalculusForBeginners@mit S.O.S.Math - Calculus(@uTexas elPaso) Full Courses UBCCalculusOnline M100 AppliedCalculus & FiniteMath (@Hofstra) CalculusExplorations using Mathematica ConnectedCalculus(byWattenberg@montana) Bradley/SmithCalculus Website(@prenhall) InteractiveTextbook for PFP 98(java version)@uPenn Calculus &Mathematica VisualCalculus(wMathView)(@archives.uTennKnoxville) Edwards/PenneyCalculus Website(@prenhall) InteractiveTextbook of PFP 96(physics based calculus)@uPenn JAVACalculusby David Yuen CalculusOnWeb(exercises)@TempleU TopicSummary Index(re Warner&Costenoble S.O.S.Math - Calculus(@uTexas elPaso) e-Calculus(@uAkron.ohio)(pdf documents) UBCCalculusOnline M101 Tutorial Index(re Waner&Costenoble BasicCalculus : From Archimedes to MATH-abundance("uppersecondary" tutorial from Belgium) CalculusQuest(@OregonState) Item Collections manipulamathcalculusapplets@ies someMathcad&MapleLabs@odu CalculusAnimations(Mathcad+QT)@odu Calculusgraphics(gifs)-- Douglas N. Arnold@pennState CalculusProblems&Solutions(by DKouba@ucDavis) Calculusgraphics (java)-- Douglas N. Arnold@pennState Calculus&DEwithMathematica-items@IndianaUofPenn 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 CoolMath - Karen's Limits Page! Iteratingf(x)=ax(1-x)@ies GraphicalIteration FeigenbaumPlot@ies (graphics-j...archimedes)byDougArnold@pennState Recursion(3)@ies (graphics.h...archimedes)byDougArnold@pennState Recurrence(2)@ies Areaof Circle Applet byDanSloughter@furman Discrete Inhibited Population Growth Applet byDanSloughter@furman Recurrence(1)@ies Limits of Functions Definition Limitsof Functions(@InteractiveRealAnalysis) Examples (graphics.html#limits)byDougArnold@pennState Pickthecorrect limit! by David Yuen (graphics-j.html#sinlim)byDougArnold@pennState Visualizationofvarious limits@ies (graphics.html#sinlim)byDougArnold@pennState Limits(MathCad+QT@odu) Limitsin x/x@ies (graphics-j.html#limits)byDougArnold@pennState eby lim @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 Surfing(Derivatives)@ies (graphics-j.html#tangent)byDougArnold@pennState (graphics.html#tangent)byDougArnold@pennState StressedOut - Slope as Rate of Change Animation:allthe tangent lines to a curve Derivatives--Introduction -- Curved Mirrors VisualCalculus- Tangent Lines MathsOnlineGallery(@uVienn.austria) derivative(asTanSlope) Approximation by Secant Lines derivDef@ies derivOneSide@ies SecantGrapherbyJohnOrr@uNebraskaLincoln AffineApprox Applet byDanSloughter@furman TangentLine Applet byDanSloughter@furman (graphics-j.html#secants)byDougArnold@pennState Animation:Secantapproaching the Tangent (graphics.html#secants)byDougArnold@pennState Sec&TanLines@ies VisualCalculus- Tangent Lines 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 CurvatureCircle@ies Pick the correct derivative! by David Yuen Whatdoes the derivative tell us about a function?(@ubc) 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 Derivativesof Trigonometric functions(@ubc) derivSinAnimation@odu DerivSin@ies Inverse Trig InverseTrigonometric Functions(@ubc) Combination Rules ProdRule@ies DifferentiatingQuotients(@ubc) DifferentiatingProducts(@ubc) DifferentiatingSums(@ubc) Introductionto Derivatives Computation(@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 AffineApprox Applet byDanSloughter@furman TaylorSeries @Eric'sTreasureTroves Newton'sMethod(@ubc) CalculusOnline@ubc: M101Lab 6 Solutions Newton'sMethod Applet byDanSloughter@furman CalculusOnline@ubc: M101Lab 6(TaylorPolys&Series) (graphics-j...fferential)byDougArnold@pennState BisectionMethod Tutorial CalculusOnline@ubc: M100Lab 6(Lin,Quad,&Taylor) (graphics.h...fferential)byDougArnold@pennState TaylorPolys Applet byDanSloughter@furman CalculusOnline@ubc: M100Lab 5(N'sMethod, &Euler's) Optimization Box Volume Problem with Animation and Graphs MathsOnlineGallery(@uVienn.austria) SimpleMaxAreaProblem CalculusOnline@ubc: M100Lab 6(Lin,Quad,&Taylor) (graphics.h...fferential)byDougArnold@pennState TaylorPolys Applet byDanSloughter@furman CalculusOnline@ubc: M100Lab 5(N'sMethod, &Euler's) AffineApprox Applet byDanSloughter@furman TaylorSeries @Eric'sTreasureTroves Newton'sMethod(@ubc) VisualFitApplet (re LeastSquares)byTaur@JSE CalculusOnline@ubc: M101Lab 6 Solutions Newton'sMethod Applet byDanSloughter@furman Optimizationfor Economics byOsborne@UofT CalculusOnline@ubc: M101Lab 6(TaylorPolys&Series) (graphics-j...fferential)byDougArnold@pennState BisectionMethod Tutorial 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 EquilibriumTheoryfor Econ byOsborne@UofT AnApplication of Differential Calculus to Food Technology(@bcit) Twoexamples of differential calculus in electronics(@bcit) TheZebra Danio and its escape response(@ubc) CalculusOnline@ubc: M100Lab 4(diffEq's) Derivatives--Introduction -- Curved Mirrors Introducinga Differential Equation(@ubc) Theory Differentiability derivOneSide@ies (graphics.html#jagged)byDougArnold@pennState (graphics-j.html#jagged)byDougArnold@pennState MathsOnlineGallery(@uVienn.austria) NowhereDiffble Continuityand Differentiability(@ubc) Calc1 pathologies(byTVogel@TexA&M) Mean Value Theorem MVT@ies
Integration VisualCalculus / Integration Just doing Integrals (graphics-j...archimedes)byDougArnold@pennState (graphics.h...archimedes)byDougArnold@pennState Areaof Circle Applet byDanSloughter@furman Antiderivatives antiderivatives@hofstra MathsOnlineGallery(@uVienn.austria)AreaSoFar(forHandDrawnGraph) CumulativeArea Applet byDanSloughter@furman Definite Integrals AnalysisWebNotes:Riemann Sums RiemSumApplet(justfor y=x^2)@ies (graphics-j...archimedes)byDougArnold@pennState (graphics.h...archimedes)byDougArnold@pennState Areaof Circle Applet byDanSloughter@furman RiemSumsApplet(1eg)&Notesby JohnOrr@uNebLincoln Numerical Approximation Riemann Sums Riemann Summs @squareCircleZ Fundamental Theorem FTC@ies CalculusOnline@ubc: M101Lab 2(Basic Concepts & FTC) MathsOnlineGallery(@uVienn.austria)AreaSoFar(forHandDrawnGraph) CumulativeArea Applet byDanSloughter@furman FTCinVisualCalculus@utk CalculusOnline@ubcM101Lab2 Solutions 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 RiemSumApplet(justfor y=x^2)@ies Lab3 Solutions Just doing Integrals CalculusOnline@ubc: M101Lab 3(arclength&numericalintegration) NumericalIntegration : Accumulating Change(@geom.umn) RiemSumsApplet(1eg)&Notesby JohnOrr@uNebLincoln NumericalIntegration Rules Applet byDanSloughter@furman AnalysisWebNotes:Riemann Sums NumericalIntegration @uUtah Improper Integrals ImproperIntegrals: Introduction Improper Integral Examples inVisualCalculus@utk ImproperIntegrals @WorcesterPolytech Applications volbyslice(1)@ies ArcLength(MathCad+QT@odu) (graphics.html#twocyls)byDougArnold@pennState Anapplication of integration to petroleum AreaInside a Parametric Curve(MathCad+QT@odu) volrev(2)@ies VisualCalculus / Areas bounded by polar curves. (graphics-j...#crosssecs)byDougArnold@pennState volrev(1)@ies Lab3 Solutions (graphics.html#crosssecs)byDougArnold@pennState volbyslice(2)@ies CalculusOnline@ubc: M101Lab 3(arclength&numericalintegration) (graphics-j.html#twocyls)byDougArnold@pennState Anapplication of integration to mining 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 Lab5 Solutions CalculusOnline@ubc: M101Lab 5(integrals for probability) CalculusOnline@ubc: Lab 3(ProbDensityFns)
Series Precalculusmaterial on Sequences and Series@langara MathsOnlineGallery(@uVienn.austria) - Power series InfiniteSeries(MathCad+QT@odu) TaylorSeries @Eric'sTreasureTroves Sequencesand series(@ArkansasStU) Calc2pathologies(byTVogel@TexA&M) geometricseries(nCCPbyWattenberg@montana) VisualCalculus / Sequences&Series CalculusOnline@ubc: M101Lab 6 Solutions Sumof geometric series@ies Noteson Series@utah CalculusOnline@ubc: M101Lab 6(TaylorPolys&Series) Progressionof Differences@ies Sequences of Numbers of Functions Series of Numbers of Functions Taylor Series TaylorSeries @Eric'sTreasureTroves CalculusOnline@ubc: M101Lab 6 Solutions CalculusOnline@ubc: M101Lab 6(TaylorPolys&Series) MathsOnlineGallery(@uVienn.austria) - Power series Fourier Series

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