Calculus Forum

Join experts in discussion of calculus topics. This may include topics on Elementary functions, Calculating limits, derivatives and integrals. Optimization problems and Homework help is available.

Threads

Graduate Why is the sum of 1/n smaller than k/2 in the harmonic series divergence proof?

  • hyper
  • · Replies 14 ·
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Undergrad Why can't we switch limits of integration for spherical volume calculation?

  • ice109
  • · Replies 6 ·
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6

Graduate Dimensional analysis of rotor power equation from integrating torque

  • jmmccain
  • · Replies 5 ·
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5

Undergrad How can I solve this implicit differentiation problem?

  • dankelly08
  • · Replies 4 ·
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4

Graduate Dirac delta approximation - need an outline of a simple and routine proof

  • hooker27
  • · Replies 2 ·
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2

Graduate Is f Uniformly 0 if Integral of f^2 on [a,b] equals 0?

  • krcmd1
  • · Replies 4 ·
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4

Undergrad Circle of Cylinders: Find Length, Area & Formulae

  • Evales
  • · Replies 1 ·
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1

Undergrad Why Use the Triangle Inequality in Limit Proofs?

  • O.J.
  • · Replies 28 ·
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28

Graduate Covariance function for periodically correlated random point process

  • crimolvic
  • · Replies 4 ·
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4

Undergrad Why do improper integrals require continuity?

  • xaenn
  • · Replies 4 ·
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4

Graduate Integrability of f,g on [a,b] and its Implications

  • krcmd1
  • · Replies 2 ·
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2

Graduate Is the Sup Metric Used to Minimize Writing d_infinity in C[0,1]?

  • coverband
  • · Replies 4 ·
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4

Graduate What's Wrong with My Derivation of the Moment of Inertia for a Hollow Sphere?

  • Eus
  • · Replies 8 ·
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8

Undergrad Calculus/Real Analysis test links

  • Patrick.Gh
  • · Replies 2 ·
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2

Graduate What Is the Sup Metric in C[0,1]?

  • coverband
  • · Replies 2 ·
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2

Graduate Understanding Branch Points for (1-z^3)^{1/2}

  • BWV
  • · Replies 2 ·
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2

Undergrad R^2 -> R^2 transformation of unit circle into square.

  • glog
  • · Replies 3 ·
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3

Apostol 1st edition vs. 2nd edition

  • uman
  • · Replies 23 ·
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23

Undergrad Example a function that is continuous at every point but not derivable

  • hadi amiri 4
  • · Replies 5 ·
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5

Undergrad What is the formula for calculating approximate costs using multiple variables?

  • sergey
  • · Replies 1 ·
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1

Undergrad Finding dV/dt in V=4*L^3 at t=0.1s

  • Tymick
  • · Replies 10 ·
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10

Undergrad Cylindrical shell and cross-section volume concept question

  • kylera
  • · Replies 1 ·
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1

High School What is the formula for finding the sum of a Geometric Series?

  • ssjSolidSnake
  • · Replies 4 ·
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4

Undergrad Dividing a Circle into Equal Areas: A Mathematical Approach

  • futurebird
  • · Replies 1 ·
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1

Undergrad Proof of the method of lagrange multipliers

  • ehrenfest
  • · Replies 13 ·
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13

Undergrad Complex fraction as a ratio of sines?

  • de1irious
  • · Replies 10 ·
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10

Graduate Showing A={r in Q: r^3<2} is a Dedekind Cut

  • samkolb
  • · Replies 1 ·
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1

Undergrad Understanding Chain Rule: Differentiating P(x, y) and S(x, y)

  • krcmd1
  • · Replies 2 ·
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2

Graduate How to prove Carrier's rule for divergent series?

  • Count Iblis
  • · Replies 3 ·
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3

Undergrad Evaluating The Integrator: 1/(x^2+a^2)(x^2+y^2+a^2)^(1/2)

  • daudaudaudau
  • · Replies 2 ·
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2

Graduate How do I start learning about the Riemann hypothesis as a high school student?

  • hadi amiri 4
  • · Replies 6 ·
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6

Graduate What is the TOPOLOGICAL DIMENSION of?

  • Take_it_Easy
  • · Replies 3 ·
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3

Undergrad Why is L'Hopital's rule not preferred for solving limits?

  • Ignea_unda
  • · Replies 2 ·
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2

Undergrad Using the derivative of arcsine to solve for x

  • Sparky_
  • · Replies 4 ·
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4

Undergrad What is Implicit Differentiation and How is it Related to the Chain Rule?

  • jgens
  • · Replies 3 ·
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3

Graduate Calculus of variations question

  • Blue_Jaunte
  • · Replies 3 ·
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3

Graduate Infinte series sum(n*(1/2)^n,n,k,infty)?

  • cliowa
  • · Replies 13 ·
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13

Undergrad Examples of taking limits of intervals

  • nasshi
  • · Replies 4 ·
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4

High School Understanding 0/0: Infinity, 0, and 1

  • madmike159
  • · Replies 6 ·
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6

Undergrad Triangle Inequality: 2 Ways to Write It?

  • coverband
  • · Replies 1 ·
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1

Graduate How can the change of variables be used to prove these integrals are equal?

  • Andrew123
  • · Replies 1 ·
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1

Graduate Typo in spivak's calculus on manifolds?

  • Adeimantus
  • · Replies 2 ·
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2

Graduate Understanding Arc Length and Line Integrals for Surface Area Calculation

  • rppearso
  • · Replies 2 ·
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2

Graduate Multivariable calculus/analysis problem

  • tim_lou
  • · Replies 5 ·
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5

Undergrad Parabola through two points with horizontal and vertical tangents

  • swied
  • · Replies 16 ·
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16

Undergrad Find lim (-1)^[x] x->2 [x] is the greatest integer function

  • lizzie
  • · Replies 6 ·
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6

Undergrad Finding new limits of integration when changing variables in a double integral

  • Krypton
  • · Replies 11 ·
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11

Graduate What is the Limit of (A^n + B^n)^(1/n) as n Approaches Infinity?

  • jostpuur
  • · Replies 8 ·
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8

Undergrad Any proof for the definition of the definite integral

  • mikie1
  • · Replies 51 ·
2
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51

Undergrad Why Can We Swap Variables When Finding Inverse Functions?

  • hyper
  • · Replies 1 ·
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1

Undergrad Derivatives and integrals as rates of change and areas

  • superstonerman
  • · Replies 3 ·
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3

Graduate How do you define analyticity and derivatives at infinity?

  • Palindrom
  • · Replies 2 ·
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2

Undergrad Why Doesn't the Integral of cos(x)sin(x) Equal (1/2)sin(2x)?

  • daudaudaudau
  • · Replies 2 ·
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2

Graduate Parallelepiped of maximum volume inscribed in ellipsoid

  • Eric Worceste
  • · Replies 1 ·
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1

Undergrad Step in hyperbolic function derivation I don't understand

  • hyper
  • · Replies 2 ·
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2

High School How Do You Visualize the Graph of x + y + z = 2?

  • DWill
  • · Replies 3 ·
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3

Undergrad Implicit 'higher' differentiation

  • City88
  • · Replies 2 ·
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2

Undergrad Find Volume of Region: Tetrahedron Bounded by Coordinate Planes & Plane

  • DWill
  • · Replies 3 ·
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3

Undergrad Quadratic lower/upper bound of a function

  • aantam
  • · Replies 1 ·
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1

Graduate Conformal Mapping (unit circle => ellipse)

  • SlammaJamma
  • · Replies 1 ·
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1

Graduate Can the 0.5 constant in the asymptote of sqrt(x*(x-1)) be found?

  • daudaudaudau
  • · Replies 2 ·
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2

Undergrad What does Euler's criterion mean for exact differentials?

  • jenzao
  • · Replies 5 ·
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5

Graduate Question on linear combinations of sines and cosine (complex analysis)

  • arunma
  • · Replies 3 ·
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3

Graduate The Spectral Theorem for Unbounded Operators in Quantum Mechanics

  • mrandersdk
  • · Replies 2 ·
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2

Graduate How to Calculate the Gradient of a Separation Vector?

  • starbaj12
  • · Replies 4 ·
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4

Undergrad Find lim (x^2n - 1)/(x^2n + 1) x->infinity->

  • lizzie
  • · Replies 7 ·
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7

Undergrad Does 0/0 indeterminate form always mean f and g share a common factor?

  • Daniel Y.
  • · Replies 3 ·
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3

Graduate Proving the Identity Theorem for Analytic Functions on Open Strips

  • arnesmeets
  • · Replies 10 ·
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10

Undergrad What is the Epsilon-Delta Definition of a Limit and How Does It Work?

  • kts123
  • · Replies 39 ·
2
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39

Undergrad Double integrals + Change of variables

  • babbagee
  • · Replies 8 ·
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8

Graduate Resummation of divergent integrals.

  • mhill
  • · Replies 5 ·
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5

Graduate Contour integral with delta function

  • mhill
  • · Replies 3 ·
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3

Undergrad Can I Simplify This Trig Integral Using u Substitution?

  • chaotixmonjuish
  • · Replies 10 ·
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10

Graduate The definition for limit in analysis

  • Shing
  • · Replies 8 ·
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8

Undergrad Changing cartesian integral to polar integral

  • DWill
  • · Replies 1 ·
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1

Undergrad How to Solve K'(T) = k(M-K(t)) Using Given Values?

  • chaotixmonjuish
  • · Replies 3 ·
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3

Graduate Why Does Apostol Include S Subset A in His Theorem on Set Complements?

  • uman
  • · Replies 5 ·
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5

Undergrad Find Answer for Gradient Question Starting at (3,2)

  • bryanosaurus
  • · Replies 5 ·
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5

Graduate Chain rule with functional derivative

  • jfitz
  • · Replies 6 ·
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6

High School How do I solve for arc length?

  • silverbabe
  • · Replies 5 ·
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5

Undergrad Moment of inertia and Center of mass questions

  • DWill
  • · Replies 2 ·
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2

Undergrad State the domain of the function and the domain of its derivative

  • bballj228
  • · Replies 5 ·
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5

Undergrad How Does Integration Apply to DW/RDR in Calculus?

  • harpreet singh
  • · Replies 12 ·
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12

Undergrad Understanding y=\frac{\sqrt{x}}{2^x} and y=lnx^{{lnx}^{{lnx}^{{lnx}^{{lnx}}}}}

  • projection
  • · Replies 20 ·
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20

Undergrad What is the intuitive idea behind the fundamental theorem of calculus?

  • okkvlt
  • · Replies 7 ·
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7

Graduate Evaluate "Proof of Theorem on Real-Valued Function Defined on Interval [0,1]

  • uman
  • · Replies 3 ·
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3

Graduate Is There a Better Way to Prove This?

  • uman
  • · Replies 1 ·
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1

Undergrad Converting Laplacian to spherical coordinates.

  • scorpion990
  • · Replies 2 ·
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2

Graduate How do I integrate ∫(A+B cos x)/√(A²+B²+2AB cos x) dx from 0 to 2π?

  • Phizyk
  • · Replies 9 ·
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9

Graduate What is the result of this double integral?

  • arroy_0205
  • · Replies 4 ·
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4

Graduate What is the Gelfand representation theory for Banach algebras?

  • Pere Callahan
  • · Replies 7 ·
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7

Graduate Solving Difficult Problem: $\partial x/\partial y$ as Function of x

  • redtree
  • · Replies 4 ·
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4

Graduate Integrate on a triangular domain

  • daudaudaudau
  • · Replies 5 ·
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5

Undergrad Flaw in a limit uniqueness proof using limit laws

  • quantumdude
  • · Replies 10 ·
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10

Graduate Convergence of an integral - book vs. me

  • hooker27
  • · Replies 2 ·
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2

Undergrad Question on Limit of a given function

  • mond
  • · Replies 7 ·
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7

Graduate How to test if a definite integral is finite or not?

  • arroy_0205
  • · Replies 2 ·
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2

Graduate How to Integrate Complex Vectors Using the Vector Triple-Cross-Product Formula?

  • Ceres629
  • · Replies 1 ·
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1

Graduate Proving the Linear Independence of Coordinate Curves on a Smooth Surface

  • Ceres629
  • · Replies 3 ·
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3

Graduate Understanding Topology: Metric Spaces, Open Balls, and Intersection Proofs

  • oxeimon
  • · Replies 8 ·
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8