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How the page directory is organized
Calculators are grouped with interactive tools, lessons sit beside their subject guides, and every course is followed by its own practice and test pages. AP resources are grouped by course so the unit review, strategy, plan, formulas, practice, and complete test remain easy to find.
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Calculators and interactive tools
Open the complete calculator library, focused mathematical calculators, and visual workspaces.
All Math Calculators/calculatorsMathGPT's Graphing Calculator/calculatorScientific Calculator/scientificFour-Function Calculator/fourfunctionMath Notebook/notebookMatrix Calculator/matrixGeometry Tool/geometry3D Calculator/3dAlgebra Calculator/calculators/algebra-calculatorArithmetic Calculator/calculators/arithmetic-calculatorCalculus Calculator/calculators/calculus-calculatorGeometry Calculator/calculators/geometry-calculatorTrigonometry Calculator/calculators/trigonometry-calculatorStatistics Calculator/calculators/statistics-calculatorLinear Algebra Calculator/calculators/linear-algebra-calculatorPrecalculus Calculator/calculators/precalculus-calculatorQuadratic Formula Calculator/calculators/quadratic-formula-calculatorTriple Integral Calculator/calculators/triple-integral-calculatorDouble Integral Calculator/calculators/double-integral-calculatorSlope Intercept Form Calculator/calculators/slope-intercept-form-calculatorImproper Integral Calculator/calculators/improper-integral-calculatorDirectional Derivative Calculator/calculators/directional-derivative-calculatorCharacteristic Polynomial Calculator/calculators/characteristic-polynomial-calculatorIterated Integral Calculator/calculators/iterated-integral-calculatorPartial Derivative Calculator/calculators/partial-derivative-calculatorImplicit Derivative Calculator/calculators/implicit-derivative-calculatorTaylor Series Calculator/calculators/taylor-series-polynomial-calculatorDegree Of Polynomial Calculator/calculators/degree-of-polynomial-calculatorStandard Form Polynomial Calculator/calculators/standard-form-polynomial-calculatorZeros Of A Polynomial Calculator/calculators/zeros-of-a-polynomial-calculatorDiscrete Math Calculator/calculators/discrete-math-calculatorTrivial Solution Calculator/calculators/trivial-solution-linear-algebra-calculatorUnit Vector Calculator/calculators/unit-vector-calculatorMagnitude Of A Vector Calculator/calculators/magnitude-of-a-vector-calculatorUnit Tangent Vector Calculator/calculators/unit-tangent-vector-calculatorResultant Vector Calculator/calculators/resultant-vector-calculatorNormal Vector Calculator/calculators/normal-vector-calculatorOrthogonal Vector Calculator/calculators/orthogonal-vector-calculatorNormalize Vector Calculator/calculators/normalize-vector-calculatorUnit Normal Vector Calculator/calculators/unit-normal-vector-calculatorAI Geometry Problem Solver/calculators/ai-geometry-problem-solverParallel Circuit Calculator/calculators/parallel-circuit-calculatorTotal Resistance Calculator/calculators/total-resistance-calculatorSeries Circuit Calculator/calculators/series-circuit-calculatorRC Circuit Calculator/calculators/rc-circuit-calculatorMatrix Multi Loop Circuit Calculator/calculators/matrix-multi-loop-circuit-calculatorRLC Circuit Calculator/calculators/rlc-circuit-calculatorBalancing Equations Chemistry Calculator/calculators/balancing-equations-chemistry-calculatorLaplace Transform Calculator/calculators/laplace-transform-calculatorAbsolute Value Calculator/calculators/absolute-value-calculatorFraction Calculator/calculators/fraction-calculatorPercent Error Calculator/calculators/percent-error-calculatorPercent Calculator/calculators/percent-calculatorGreatest Common Factor Calculator/calculators/greatest-common-factor-calculatorLeast Common Multiple Calculator/calculators/least-common-multiple-calculator
Lessons and formulas
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Learn Mathematics/learnMath Formula Library/formula-libraryLearn Algebra/learn/algebraLearn Calculus/learn/calculusLearn Geometry/learn/geometryLearn Trigonometry/learn/trigonometryLearn Statistics/learn/statisticsLearn Linear Algebra/learn/linear-algebraLearn Precalculus/learn/precalculusLearn Arithmetic/learn/arithmeticHow to Solve Linear Equations/learn/algebra/solving-linear-equationsThe Quadratic Formula Explained/learn/algebra/quadratic-formulaSystems of Equations/learn/algebra/systems-of-equationsFactoring Polynomials/learn/algebra/factoring-polynomialsUnderstanding Limits/learn/calculus/understanding-limitsDerivative Rules/learn/calculus/derivative-rulesIntegration Techniques/learn/calculus/integration-techniquesFundamental Theorem of Calculus/learn/calculus/fundamental-theorem-of-calculusPythagorean Theorem/learn/geometry/pythagorean-theoremArea of a Triangle/learn/geometry/area-of-a-triangleEquation of a Circle/learn/geometry/equation-of-a-circleGeometric Transformations/learn/geometry/geometric-transformationsThe Unit Circle/learn/trigonometry/unit-circleTrigonometric Identities/learn/trigonometry/trigonometric-identitiesSine and Cosine Rules/learn/trigonometry/sine-and-cosine-rulesSolving Trigonometric Equations/learn/trigonometry/solving-trig-equationsMean, Median, and Mode/learn/statistics/mean-median-modeStandard Deviation/learn/statistics/standard-deviationProbability Foundations/learn/statistics/probability-foundationsLinear Regression/learn/statistics/linear-regressionMatrix Operations/learn/linear-algebra/matrix-operationsSolving Linear Systems with Matrices/learn/linear-algebra/solving-linear-systemsThe Dot Product/learn/linear-algebra/dot-productEigenvalues and Eigenvectors/learn/linear-algebra/eigenvalues-and-eigenvectorsFunction Transformations/learn/precalculus/function-transformationsInverse Functions/learn/precalculus/inverse-functionsSequences and Series/learn/precalculus/sequences-and-seriesExponentials and Logarithms/learn/precalculus/exponentials-and-logarithmsA Practical Guide to Fractions/learn/arithmetic/fractionsUnderstanding Percentages/learn/arithmetic/percentagesRatios and Proportions/learn/arithmetic/ratios-and-proportionsOrder of Operations/learn/arithmetic/order-of-operations
Formula reference
Every formula subject page and every individual formula, with symbols, conditions, and a worked example.
Arithmetic Formulas/formula-library/arithmeticAlgebra Formulas/formula-library/algebraGeometry Formulas/formula-library/geometryTrigonometry Formulas/formula-library/trigonometryPrecalculus Formulas/formula-library/precalculusCalculus Formulas/formula-library/calculusStatistics Formulas/formula-library/statisticsProbability Formulas/formula-library/probabilityLinear Algebra Formulas/formula-library/linear-algebraDifferential Equations Formulas/formula-library/differential-equationsDiscrete Math Formulas/formula-library/discrete-mathAdd fractions/formula-library/add-fractionsMultiply fractions/formula-library/multiply-fractionsDivide fractions/formula-library/divide-fractionsPercent of a quantity/formula-library/percent-of-a-quantityPercent change/formula-library/percent-changeDistance, rate, and time/formula-library/distance-rate-and-timeSimple interest/formula-library/simple-interestCompound interest/formula-library/compound-interestSlope between two points/formula-library/slope-between-two-pointsSlope-intercept form/formula-library/slope-intercept-formPoint-slope form/formula-library/point-slope-formStandard form of a line/formula-library/standard-form-of-a-lineQuadratic formula/formula-library/quadratic-formulaDiscriminant/formula-library/discriminantQuadratic vertex/formula-library/quadratic-vertexDifference of squares/formula-library/difference-of-squaresSum and difference of cubes/formula-library/sum-and-difference-of-cubesProduct and quotient powers/formula-library/product-and-quotient-powersPower of a power/formula-library/power-of-a-powerRational exponent/formula-library/rational-exponentArithmetic sequence term/formula-library/arithmetic-sequence-termArithmetic series sum/formula-library/arithmetic-series-sumGeometric sequence term/formula-library/geometric-sequence-termFinite geometric series/formula-library/finite-geometric-seriesLogarithm definition/formula-library/logarithm-definitionLog product and quotient rules/formula-library/log-product-and-quotient-rulesChange of base/formula-library/change-of-baseExponential growth and decay/formula-library/exponential-growth-and-decayPythagorean theorem/formula-library/pythagorean-theoremDistance in the plane/formula-library/distance-in-the-planeMidpoint/formula-library/midpointTriangle area/formula-library/triangle-areaHeron’s formula/formula-library/herons-formulaRectangle area and perimeter/formula-library/rectangle-area-and-perimeterParallelogram area/formula-library/parallelogram-areaTrapezoid area/formula-library/trapezoid-areaCircle circumference/formula-library/circle-circumferenceCircle area/formula-library/circle-areaCircle equation/formula-library/circle-equationArc length/formula-library/arc-lengthSector area/formula-library/sector-areaInterior-angle sum/formula-library/interior-angle-sumRegular polygon area/formula-library/regular-polygon-areaPrism volume/formula-library/prism-volumeCylinder volume and surface area/formula-library/cylinder-volume-and-surface-areaPyramid volume/formula-library/pyramid-volumeCone volume and surface area/formula-library/cone-volume-and-surface-areaSphere volume and surface area/formula-library/sphere-volume-and-surface-areaRight-triangle ratios/formula-library/right-triangle-ratiosReciprocal identities/formula-library/reciprocal-identitiesPythagorean identities/formula-library/pythagorean-identitiesSine sum and difference/formula-library/sine-sum-and-differenceCosine sum and difference/formula-library/cosine-sum-and-differenceTangent sum and difference/formula-library/tangent-sum-and-differenceDouble-angle identities/formula-library/double-angle-identitiesHalf-angle identities/formula-library/half-angle-identitiesLaw of sines/formula-library/law-of-sinesLaw of cosines/formula-library/law-of-cosinesTriangle area with sine/formula-library/triangle-area-with-sineDegrees and radians/formula-library/degrees-and-radiansSinusoidal model/formula-library/sinusoidal-modelParabola standard forms/formula-library/parabola-standard-formsEllipse standard form/formula-library/ellipse-standard-formHyperbola standard form/formula-library/hyperbola-standard-formInfinite geometric series/formula-library/infinite-geometric-seriesComplex modulus/formula-library/complex-modulusDerivative definition/formula-library/derivative-definitionPower rule/formula-library/power-ruleProduct rule/formula-library/product-ruleQuotient rule/formula-library/quotient-ruleChain rule/formula-library/chain-ruleExponential and logarithmic derivatives/formula-library/exponential-and-logarithmic-derivativesTrigonometric derivatives/formula-library/trigonometric-derivativesInverse trigonometric derivatives/formula-library/inverse-trigonometric-derivativesLinearization/formula-library/linearizationPower antiderivative/formula-library/power-antiderivativeSubstitution rule/formula-library/substitution-ruleIntegration by parts/formula-library/integration-by-partsFundamental theorem of calculus/formula-library/fundamental-theorem-of-calculusAccumulation derivative/formula-library/accumulation-derivativeAverage value of a function/formula-library/average-value-of-a-functionArea between curves/formula-library/area-between-curvesArc length of a graph/formula-library/arc-length-of-a-graphDisk and washer volumes/formula-library/disk-and-washer-volumesCylindrical shell volume/formula-library/cylindrical-shell-volumeTaylor series/formula-library/taylor-seriesTaylor remainder bound/formula-library/taylor-remainder-boundNewton’s method/formula-library/newtons-methodParametric derivatives/formula-library/parametric-derivativesPolar area/formula-library/polar-areaGradient/formula-library/gradientDirectional derivative/formula-library/directional-derivativeDouble and triple integrals/formula-library/double-and-triple-integralsLine integral of a vector field/formula-library/line-integral-of-a-vector-fieldArithmetic mean/formula-library/arithmetic-meanWeighted mean/formula-library/weighted-meanPopulation variance and standard deviation/formula-library/population-variance-and-standard-deviationSample variance and standard deviation/formula-library/sample-variance-and-standard-deviationz-score/formula-library/z-scoreSample covariance/formula-library/sample-covariancePearson correlation/formula-library/pearson-correlationLeast-squares regression line/formula-library/least-squares-regression-lineStandard error of a mean/formula-library/standard-error-of-a-meanStandard error of a proportion/formula-library/standard-error-of-a-proportionOne-mean confidence interval/formula-library/one-mean-confidence-intervalOne-proportion confidence interval/formula-library/one-proportion-confidence-intervalOne-sample t statistic/formula-library/one-sample-t-statisticChi-square statistic/formula-library/chi-square-statisticResidual/formula-library/residualComplement rule/formula-library/complement-ruleAddition rule/formula-library/addition-ruleConditional probability/formula-library/conditional-probabilityMultiplication rule/formula-library/multiplication-ruleBayes’ theorem/formula-library/bayes-theoremPermutations/formula-library/permutationsCombinations/formula-library/combinationsBinomial probability/formula-library/binomial-probabilityBinomial mean and variance/formula-library/binomial-mean-and-varianceGeometric probability/formula-library/geometric-probabilityPoisson probability/formula-library/poisson-probabilityExpected value and variance/formula-library/expected-value-and-varianceVector magnitude/formula-library/vector-magnitudeUnit vector/formula-library/unit-vectorDot product and angle/formula-library/dot-product-and-angleVector projection/formula-library/vector-projectionCross product/formula-library/cross-productMatrix multiplication/formula-library/matrix-multiplicationTwo-by-two determinant/formula-library/two-by-two-determinantTwo-by-two inverse/formula-library/two-by-two-inverseInverse solution of a system/formula-library/inverse-solution-of-a-systemEigenvalue equation/formula-library/eigenvalue-equationCharacteristic equation/formula-library/characteristic-equationRank-nullity theorem/formula-library/rank-nullity-theoremNormal equations/formula-library/normal-equationsGram–Schmidt step/formula-library/gram-schmidt-stepSeparable equation/formula-library/separable-equationLinear integrating factor/formula-library/linear-integrating-factorLogistic growth/formula-library/logistic-growthConstant-coefficient characteristic equation/formula-library/constant-coefficient-characteristic-equationEuler’s method/formula-library/eulers-methodDerivative transform/formula-library/derivative-transformDe Morgan’s laws/formula-library/de-morgans-lawsTwo-set inclusion–exclusion/formula-library/two-set-inclusion-exclusionSum of first integers/formula-library/sum-of-first-integersSum of squares/formula-library/sum-of-squaresHandshaking lemma/formula-library/handshaking-lemmaEuler formula for planar graphs/formula-library/euler-formula-for-planar-graphsEuclidean algorithm/formula-library/euclidean-algorithmModular congruence/formula-library/modular-congruenceEquivalent proportions/formula-library/equivalent-proportionsUnit rate/formula-library/unit-rateArithmetic average/formula-library/arithmetic-averagePercent error/formula-library/percent-errorContinuous compounding/formula-library/continuous-compoundingZero and negative exponents/formula-library/zero-and-negative-exponentsProduct of two binomials/formula-library/product-of-two-binomialsCompleting the square/formula-library/completing-the-squareDirect variation/formula-library/direct-variationInverse variation/formula-library/inverse-variationTwo-variable linear system/formula-library/two-variable-linear-systemBinomial theorem/formula-library/binomial-theoremRemainder theorem/formula-library/remainder-theoremTriangle angle sum/formula-library/triangle-angle-sumExterior-angle sum/formula-library/exterior-angle-sumRegular polygon angles/formula-library/regular-polygon-anglesRectangular prism volume and surface area/formula-library/rectangular-prism-volume-and-surface-areaCube volume and surface area/formula-library/cube-volume-and-surface-areaPrism surface area/formula-library/prism-surface-areaSimilarity scale factors/formula-library/similarity-scale-factorsDistance in three dimensions/formula-library/distance-in-three-dimensionsEquilateral triangle measures/formula-library/equilateral-triangle-measuresChord length/formula-library/chord-lengthQuotient identities/formula-library/quotient-identitiesCofunction identities/formula-library/cofunction-identitiesUnit-circle coordinates/formula-library/unit-circle-coordinatesSinusoid amplitude and period/formula-library/sinusoid-amplitude-and-periodProduct-to-sum identities/formula-library/product-to-sum-identitiesComplex polar form/formula-library/complex-polar-formDe Moivre’s theorem/formula-library/de-moivres-theoremFunction composition/formula-library/function-compositionInverse function relationship/formula-library/inverse-function-relationshipFunction transformation/formula-library/function-transformationRemaining trigonometric derivatives/formula-library/remaining-trigonometric-derivativesRemaining inverse-trig derivatives/formula-library/remaining-inverse-trig-derivativesCommon exponential and trigonometric antiderivatives/formula-library/common-exponential-and-trigonometric-antiderivativesL’Hôpital’s rule/formula-library/lhopitals-ruleMean value theorem/formula-library/mean-value-theoremPosition, velocity, and acceleration/formula-library/position-velocity-and-accelerationParametric arc length/formula-library/parametric-arc-lengthSurface area of revolution/formula-library/surface-area-of-revolutionPolar arc length/formula-library/polar-arc-lengthCommon Maclaurin series/formula-library/common-maclaurin-seriesGeometric series test/formula-library/geometric-series-testRatio test/formula-library/ratio-testAlternating-series error bound/formula-library/alternating-series-error-boundImproper integral definition/formula-library/improper-integral-definitionRange and interquartile range/formula-library/range-and-interquartile-rangeNormal density/formula-library/normal-densityMargin of error/formula-library/margin-of-errorTwo-sample t statistic/formula-library/two-sample-t-statisticTwo-proportion z statistic/formula-library/two-proportion-z-statisticCoefficient of determination/formula-library/coefficient-of-determinationLaw of total probability/formula-library/law-of-total-probabilityIndependence test/formula-library/independence-testUniform distribution/formula-library/uniform-distributionExponential distribution/formula-library/exponential-distributionHypergeometric probability/formula-library/hypergeometric-probabilityMatrix transpose/formula-library/matrix-transposeTrace/formula-library/traceCramer’s rule/formula-library/cramers-ruleHomogeneous solution forms/formula-library/homogeneous-solution-formsFourth-order Runge–Kutta/formula-library/fourth-order-runge-kuttaPigeonhole principle/formula-library/pigeonhole-principleEdges in a complete graph/formula-library/edges-in-a-complete-graphEdges in a tree/formula-library/edges-in-a-tree
High school and university courses
Browse ordered course units, then open a course-specific practice set or complete test.
High School Mathematics/high-schoolUniversity Mathematics/universityPre-Algebra/high-school/pre-algebraPre-Algebra Practice and Test/high-school/pre-algebra/practiceAlgebra I/high-school/algebra-1Algebra I Practice and Test/high-school/algebra-1/practiceHigh School Geometry/high-school/geometryHigh School Geometry Practice and Test/high-school/geometry/practiceAlgebra II/high-school/algebra-2Algebra II Practice and Test/high-school/algebra-2/practicePrecalculus/high-school/precalculusPrecalculus Practice and Test/high-school/precalculus/practiceTrigonometry/high-school/trigonometryTrigonometry Practice and Test/high-school/trigonometry/practiceProbability & Statistics/high-school/probability-statisticsProbability & Statistics Practice and Test/high-school/probability-statistics/practiceMathematical Modeling/high-school/math-modelingMathematical Modeling Practice and Test/high-school/math-modeling/practiceCollege Algebra/university/college-algebraCollege Algebra Practice and Test/university/college-algebra/practiceCalculus I/university/calculus-1Calculus I Practice and Test/university/calculus-1/practiceCalculus II/university/calculus-2Calculus II Practice and Test/university/calculus-2/practiceMultivariable Calculus/university/multivariable-calculusMultivariable Calculus Practice and Test/university/multivariable-calculus/practiceLinear Algebra/university/linear-algebraLinear Algebra Practice and Test/university/linear-algebra/practiceDifferential Equations/university/differential-equationsDifferential Equations Practice and Test/university/differential-equations/practiceDiscrete Mathematics/university/discrete-mathematicsDiscrete Mathematics Practice and Test/university/discrete-mathematics/practiceProbability/university/probabilityProbability Practice and Test/university/probability/practiceMathematical Statistics/university/mathematical-statisticsMathematical Statistics Practice and Test/university/mathematical-statistics/practiceNumerical Methods/university/numerical-methodsNumerical Methods Practice and Test/university/numerical-methods/practiceReal Analysis/university/real-analysisReal Analysis Practice and Test/university/real-analysis/practiceAbstract Algebra/university/abstract-algebraAbstract Algebra Practice and Test/university/abstract-algebra/practice
AP exam preparation
Find each AP mathematics course hub with its units and formulas, a diagnostic, a complete test, and an eight-week plan.
AP Exam Preparation/ap-examsAP Precalculus Exam Prep/ap-exams/precalculusAP Precalculus Practice Questions/ap-exams/precalculus/practiceAP Precalculus Practice Test/ap-exams/precalculus/testAP Precalculus Study Plan/ap-exams/precalculus/study-planAP Calculus AB Exam Prep/ap-exams/calculus-abAP Calculus AB Practice Questions/ap-exams/calculus-ab/practiceAP Calculus AB Practice Test/ap-exams/calculus-ab/testAP Calculus AB Study Plan/ap-exams/calculus-ab/study-planAP Calculus BC Exam Prep/ap-exams/calculus-bcAP Calculus BC Practice Questions/ap-exams/calculus-bc/practiceAP Calculus BC Practice Test/ap-exams/calculus-bc/testAP Calculus BC Study Plan/ap-exams/calculus-bc/study-planAP Statistics Exam Prep/ap-exams/statisticsAP Statistics Practice Questions/ap-exams/statistics/practiceAP Statistics Practice Test/ap-exams/statistics/testAP Statistics Study Plan/ap-exams/statistics/study-plan
Practice and study planning
Choose independent practice, prepare for an exam, or organize study time around a deadline.
Math Practice/practiceMath Exam Preparation/exam-prepMath Study Planner/study-plannerArithmetic Practice/practice/arithmeticAlgebra I Practice/practice/algebra-1Geometry Practice/practice/geometryAlgebra II Practice/practice/algebra-2Precalculus Practice/practice/precalculusCalculus Practice/practice/calculusStatistics Practice/practice/statisticsLinear Algebra Practice/practice/linear-algebraDifferential Equations Practice/practice/differential-equationsDiscrete Math Practice/practice/discrete-math
Math learning magazine
Read practical articles about mathematics, study systems, tools, verification, and responsible assistance.
Math Learning and Study Guides/blogChatGPT vs. MathGPT: A Math Solver Comparison/blog/chatgpt-vs-mathgpt-which-math-ai-solver-actually-deliversManual Math or AI Computation? Use Both/blog/manual-or-ai-powered-computation-mathgpt-has-both6 Tech Tools for a Productive Semester/blog/6-tech-tools-every-student-needs-for-a-more-productive-semesterStart the School Year with a Math System/blog/start-the-school-year-right-with-mathgpt-the-ultimate-ai-math-solverHow to Compare AI Math Tools Accurately/blog/math-ai-tools-showdownHow to Study for AP Exams with MathGPT/blog/studying-for-ap-exams-mathgpt-s-ap-hub-got-youFractions Explained: Rules and Examples/blog/a-simple-guide-to-fractions-what-they-are-and-how-they-workKhan Academy vs. MathGPT: Which Fits You?/blog/if-you-use-khan-academy-you-might-want-to-switch-to-mathgptHow to Use MathGPT for Mobile Math Study/blog/did-you-know-mathgpt-can-fit-in-your-pocket-everything-you-need-to-know-about-the-mobile-app-pocketmathmathgpt-pocketmath-mobile-app
About, support, and policies
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HTML Sitemap/sitemapMathGPT Editorial Team/authors/mathgpt-editorial-teamAbout MathGPT.now/aboutContact the MathGPT Team/contactPrivacy Policy/privacyTerms of Use/termsAccessibility at MathGPT/accessibilityAcademic Integrity for AI Math Help/academic-integrityDeveloper API for Step-by-Step Math/apiMath Test Practice and Calculator Prep/testingEducation Partnerships/partnersMathGPT Careers/careersMath Help Center/help
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