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 What is the Limit of a Function with Finite Integral?

  • Lajka
  • · Replies 5 ·
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5

Undergrad How to find the period of a Fourier Series

  • thecaptain90
  • · Replies 3 ·
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3

Graduate Open and Closed Relations: A Topological Approach to Evaluating Limits

  • alexfloo
  • · Replies 5 ·
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5

Graduate Evaluation of oscillatory integrals

  • Sangoku
  • · Replies 7 ·
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7

Undergrad Can a Square Root Function Have Two Slopes and Exist in the Fourth Quadrant?

  • Rodrae
  • · Replies 12 ·
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12

Graduate A Singularity: Finite Function, Infinite Derivatives

  • atrahasis
  • · Replies 2 ·
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2

Undergrad Discontinuity and limits of functions

  • alexfloo
  • · Replies 1 ·
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1

Graduate Finding the Transform of f(t)u(t-a) Using the Shifting Theorem

  • Rubik
  • · Replies 3 ·
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3

Graduate Confused by separate definitions of sets which are bounded above

  • jacksonjs20
  • · Replies 3 ·
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3

Undergrad What do students usually struggle with in Calculus I and II

  • anonymity
  • · Replies 7 ·
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7

Graduate Continuity for Two Variable Function

  • aim1732
  • · Replies 7 ·
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7

High School Parabolic Function: Graph of y=ax^n

  • batballbat
  • · Replies 2 ·
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2

Undergrad Using calculus to model movement of an object

  • musicgold
  • · Replies 2 ·
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2

Undergrad How many intersections do 2^x and x^12 have in the x-y plane?

  • FeDeX_LaTeX
  • · Replies 7 ·
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7

Graduate Limit Inferior and Limit Superior

  • veronicak5678
  • · Replies 4 ·
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4

Undergrad Why is the deivative 2ln(x) is the same as that of ln(x^2)

  • mahmoud2011
  • · Replies 10 ·
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10

Graduate Sampling of a gaussian distribution

  • matteo86bo
  • · Replies 1 ·
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1

Undergrad Why is the function abs(x) not differentiable at x=0?

  • Bassalisk
  • · Replies 5 ·
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5

Undergrad Why Does Rewriting a Function Change the Partial Derivative Outcome?

  • AlexChandler
  • · Replies 2 ·
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2

Undergrad Finding the Integral of |x|: Break it Up and See What Happens

  • agentredlum
  • · Replies 27 ·
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27

Graduate Defining and Understanding Continuous Unit Normal Fields on Orientable Surfaces

  • JG89
  • · Replies 2 ·
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2

Graduate What Real Analysis book do you suggest?

  • AdrianZ
  • · Replies 2 ·
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2

Undergrad Solving integration by parts using derivatives vs differentials?

  • thepatient
  • · Replies 4 ·
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4

Undergrad How Do You Solve This First Order ODE with Given Condition?

  • mkay123321
  • · Replies 1 ·
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1

Undergrad Changing the limits on Integrals

  • kLPantera
  • · Replies 4 ·
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4

Graduate Fractional Calculus: Integration & Differentiation Explained

  • deepurple
  • · Replies 5 ·
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5

Graduate Understanding Orientated Manifolds

  • JG89
  • · Replies 5 ·
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5

Graduate An Error in Spivak's Calculus?

  • middleCmusic
  • · Replies 15 ·
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15

Graduate Confusion on chain rule substitution

  • skyfire101
  • · Replies 6 ·
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6

Graduate Is this integral possible to solve

  • thrillhouse86
  • · Replies 5 ·
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5

Undergrad How Do You Apply the Chain Rule to 2/x with Respect to Time?

  • AirForceOne
  • · Replies 3 ·
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3

Graduate Is It Possible to Construct Non-Measurable Sets Without the Axiom of Choice?

  • Kreizhn
  • · Replies 4 ·
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4

Undergrad Simple complex analysis question

  • McLaren Rulez
  • · Replies 2 ·
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2

Graduate Harmonic Functions: Proving Constantness

  • Gh0stZA
  • · Replies 7 ·
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7

Graduate Fractional Calculus on Sinusoidal functions

  • TheDestroyer
  • · Replies 13 ·
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13

Graduate Showing that a function is zero a.e.

  • AxiomOfChoice
  • · Replies 5 ·
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5

Graduate Properties of Summations and Integrals question

  • Newbie234
  • · Replies 6 ·
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6

Graduate Densely defined linear operators on Hilbert space and their ranges

  • AxiomOfChoice
  • · Replies 5 ·
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5

Graduate Relationship between Fourier and Mellin transforms

  • mnb96
  • · Replies 3 ·
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3

Undergrad Questions about double and triple integrals

  • Maurice7510
  • · Replies 3 ·
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3

Undergrad Understanding the integral of 1/(1+x^2)

  • MurdocJensen
  • · Replies 9 ·
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9

Graduate Question about the differentiability of a function of more than one variable

  • 00Donut
  • · Replies 15 ·
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15

Graduate Is the following true about sups and infs?

  • AxiomOfChoice
  • · Replies 3 ·
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3

Undergrad Which Root-Finding Method Should I Use for an Oscillatory Function?

  • a.mlw.walker
  • · Replies 1 ·
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1

Undergrad Partial derivative equals zero means it is constant?

  • crocomut
  • · Replies 2 ·
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2

Graduate In a paper says that the limit when [tex]\alpha \to 0[/tex] with [tex]

  • alejandrito29
  • · Replies 1 ·
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1

Graduate Is There a Discrepancy in Matrix Trace Derivative Rules?

  • em12
  • · Replies 1 ·
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1

Graduate How to Solve Optimization Problems with Multiple Variables and Constraints?

  • Inertigratus
  • · Replies 2 ·
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2

Undergrad Is x^2 a Removable Discontinuity?

  • Rodrae
  • · Replies 12 ·
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12

Graduate Inverse Fourier Transform of a function

  • CantorSet
  • · Replies 3 ·
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3

Graduate Cauchy-Riemann Equations - Complex Analysis

  • Gh0stZA
  • · Replies 3 ·
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3

Graduate Are Orthogonal and Parallel Curves in Polar Coordinates Useful?

  • Edward Solomo
  • · Replies 5 ·
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5

Undergrad Where can I find a full proof of green theorem?

  • Nanas
  • · Replies 5 ·
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5

Graduate How is the theorem of Stoke's proved for closed submanifolds without boundaries?

  • arestes
  • · Replies 4 ·
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4

Graduate Integrate by parts the d'alembertian of a 4-variable function

  • radoo
  • · Replies 1 ·
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1

Graduate Fourier Transform Help ( f(x) = 1 )

  • FeDeX_LaTeX
  • · Replies 5 ·
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5

Graduate Confusing result about the spectrum of compact operators

  • AxiomOfChoice
  • · Replies 1 ·
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1

Graduate How to Express the Product of Two Legendre Polynomials?

  • Repetit
  • · Replies 1 ·
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1

Graduate How to calculate the order of an infinitesimal

  • NBagley119
  • · Replies 3 ·
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3

Graduate Second derivative test when Hessian is Positive Semi-Definite

  • logarithmic
  • · Replies 3 ·
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3

Graduate What is the Meaning of dy/dx in Nonstandard Calculus?

  • vkash
  • · Replies 5 ·
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5

Graduate Closed sets in Cantor Space that are not Clopen

  • Bacle
  • · Replies 1 ·
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1

Graduate Restrictions of compact operators

  • AxiomOfChoice
  • · Replies 1 ·
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1

Undergrad How is Epsilon Defined in the Proof of the Chain Rule in James Stewart Calculus?

  • mahmoud2011
  • · Replies 1 ·
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1

Graduate Complex contour integral, which one do I use?

  • hunt_mat
  • · Replies 28 ·
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28

Graduate A function f that is not Riemann integrable but |f| is Riemann integrable?

  • MimuiSnoopy
  • · Replies 1 ·
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1

Undergrad Integral/ electrostatic difficulty

  • pbeierle
  • · Replies 1 ·
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1

Undergrad Proof of the Chain Rule: An Elegant and Simple Approach

  • dalcde
  • · Replies 25 ·
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25

Graduate Calculating Higher Order Derivatives of a Complex Function

  • CantorSet
  • · Replies 5 ·
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5

Undergrad Is the Derivative of Arctangent Equal to 1/x?

  • dimension10
  • · Replies 6 ·
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6

Undergrad How did the instantaneous speed pop out of this?

  • autodidude
  • · Replies 22 ·
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22

Graduate What is the limit of the sequence gn and its relation to \sqrt5?

  • asmani
  • · Replies 7 ·
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7

Graduate Intuitive Explanation of What a p norm is, for any arbitrary p>0

  • rckstr_scntst
  • · Replies 1 ·
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1

Undergrad How is the expansion of functions used in practical applications?

  • RoughRoad
  • · Replies 8 ·
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8

Graduate What Makes \(\mathbb{H}^k\) Essential in Defining Manifolds?

  • JG89
  • · Replies 9 ·
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9

Graduate Is the Supremum Proof of 0.999... = 1 Flawed?

  • TylerH
  • · Replies 19 ·
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19

Undergrad Derivative and integral of e^anything

  • stargazer843
  • · Replies 9 ·
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9

Graduate Deriving Sphere Volume using Spherical Coordinates: Why 0°-360°?

  • MHD93
  • · Replies 1 ·
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1

Graduate May I know the answer for this with respect to

  • dimension10
  • · Replies 8 ·
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8

Graduate Remainder estimate for product series

  • bruno67
  • · Replies 1 ·
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1

Graduate Confusing definition of resolvent set

  • AxiomOfChoice
  • · Replies 1 ·
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1

Undergrad Ask for help with Divergence in Derive 6

  • pogono
  • · Replies 1 ·
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1

Undergrad How Do I Visualize Complex Zeros of a Quadratic Equation?

  • vrc
  • · Replies 13 ·
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13

Graduate Optimization problems involving non-compact domains

  • Inertigratus
  • · Replies 4 ·
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4

Graduate Continuous, Onto Function: (0,1)x(0,1)->R^2

  • Bacle
  • · Replies 1 ·
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1

Undergrad What Went Wrong in My Integration by Parts?

  • Username007
  • · Replies 6 ·
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6

Graduate Integrating Complex Exponentials

  • americanforest
  • · Replies 1 ·
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1

Graduate Bounded sequences and convergent subsequences in metric spaces

  • AxiomOfChoice
  • · Replies 5 ·
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5

Graduate Functions in L1 that are not in L2

  • J$C
  • · Replies 16 ·
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16

Graduate Is this derivation of Euler's formula correct?

  • inknit
  • · Replies 3 ·
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3

Graduate What is the boundary of the rational numbers?

  • alexfloo
  • · Replies 5 ·
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5

Graduate L^p Spaces and Convergence of Functions

  • tornado28
  • · Replies 5 ·
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5

Graduate Real Analysis / Advanced Calc Puzzler

  • tornado28
  • · Replies 13 ·
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13

Undergrad Can Riemann sums accurately calculate the area under a curve?

  • Rear Naked
  • · Replies 5 ·
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5

Graduate Addition/Multiplication for Dedekind cuts?

  • DrWillVKN
  • · Replies 5 ·
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5

Graduate Infinite Series Doubt: Last Step Explained

  • RoughRoad
  • · Replies 4 ·
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4

Undergrad How do I solve tricky integration questions for my upcoming exam?

  • avleen
  • · Replies 1 ·
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1

High School Fundamental Theorem of Calc, Part 1

  • JamesGold
  • · Replies 8 ·
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8

Undergrad Arrangement of shapes in an area

  • xchaos01
  • · Replies 2 ·
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2

Graduate Compact operators on normed spaces

  • AxiomOfChoice
  • · Replies 2 ·
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2