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 Is a Limited Operator Equivalent to Continuity in Norm Topology?

  • diegzumillo
  • · Replies 2 ·
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2

Undergrad Continuous Compound Interest with changing capital

  • cango91
  • · Replies 13 ·
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13

Graduate Jensen's Inequality: Complex Analysis vs. Measure Theory

  • lark
  • · Replies 5 ·
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5

Graduate Probability distribution function with arctan

  • aus_fas
  • · Replies 2 ·
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2

Undergrad Given a point and a curve: how to find perpindicular POI?

  • DyslexicHobo
  • · Replies 10 ·
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10

Graduate Explicitly summing a series involving hyperbolic tangent

  • gabbagabbahey
  • · Replies 3 ·
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3

Graduate Can someone explain the Riemann hypothesis simply?

  • Jameson
  • · Replies 8 ·
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8

Graduate How do I calculate the Fourier integral with non-zero phase shift?

  • arcmed
  • · Replies 4 ·
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4

Undergrad When is the derivative zero positive negative or neither?

  • _DJ_british_?
  • · Replies 8 ·
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8

Graduate What is the gradient of a function f(x,y) = x^y on the complex plane?

  • Tac-Tics
  • · Replies 2 ·
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2

Graduate Neighborhoods and Interior Points in Metric Spaces

  • samspotting
  • · Replies 19 ·
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19

Undergrad Can the Nth Derivative Formula for ln(x) Be Extended to ln(x+c)?

  • islandboy401
  • · Replies 3 ·
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3

Undergrad Area Under Sine Wave: Anti Diff of -cosx

  • philrainey
  • · Replies 1 ·
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1

Undergrad How Can the Kalman Filter Improve Position Sensor Data Analysis?

  • jgvicke
  • · Replies 1 ·
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1

Graduate Connectedness of coordinates with one rational point

  • hypermonkey2
  • · Replies 1 ·
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1

Undergrad Prove/Disprove: Inequality for x ≥ 0

  • acarchau
  • · Replies 3 ·
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3

Graduate There's a distribution Tf for each function f

  • Fredrik
  • · Replies 19 ·
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19

Undergrad How Can You Use a Fact to Evaluate Limits?

  • islandboy401
  • · Replies 1 ·
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1

Graduate Calculating the Volume of a Toroidal Section: A Mathematical Exploration

  • Monkfish
  • · Replies 2 ·
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2

Graduate How to Approximate a Partial Exponential Sum?

  • Nurdan
  • · Replies 6 ·
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6

Undergrad Epsilon-Delta Definition of Limit (Proofs)

  • Daniel Y.
  • · Replies 2 ·
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2

Undergrad Generating McLaurin Series for ln (1+x^2)

  • islandboy401
  • · Replies 2 ·
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2

Graduate Cauchy integral theorem question

  • JohnSimpson
  • · Replies 4 ·
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4

Graduate Vector analysis: \nabla applied on integral?

  • Gerenuk
  • · Replies 4 ·
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4

Graduate Calculating Volume of Sphere Intersection Using Cavalieri's Principle

  • DavidSnider
  • · Replies 3 ·
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3

Undergrad Does Differentiating e^(-x) and e^(3x+4) Follow Standard Rules?

  • matttan
  • · Replies 18 ·
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18

Graduate Cauchy Criterion for Series limit

  • sedaw
  • · Replies 4 ·
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4

Graduate What is the relationship between the Fourier transform and a gaussian function?

  • Tac-Tics
  • · Replies 11 ·
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11

Undergrad Integration of the binomial theorem

  • hmmmmm
  • · Replies 9 ·
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9

Graduate Integrating a Vector Field Over a Circular Disk

  • Phizyk
  • · Replies 2 ·
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2

Undergrad Finding the Power Series Representation for x/(1-x)^2

  • chyeaman
  • · Replies 3 ·
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3

Undergrad Finding volume using polar coordinates

  • babbagee
  • · Replies 4 ·
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4

Undergrad What is the method for evaluating integrals with linear terms?

  • maobadi
  • · Replies 2 ·
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2

High School How Is the Equation of Motion Integrated?

  • Perillux
  • · Replies 4 ·
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4

Undergrad Integrating Definite Integral: 3x^5 + 4x^4 + x^2

  • noobie!
  • · Replies 2 ·
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2

Graduate How is Complex z Raised to a Power Equal to Exponential?

  • naggy
  • · Replies 3 ·
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3

Graduate Logorithms of negative numbers

  • SW VandeCarr
  • · Replies 3 ·
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3

Graduate Solving Difficult Integral: \int_{-\infty}^{+\infty}Exp(-x^2)*Erf(x^2 - a^2)dx

  • Heimdall
  • · Replies 1 ·
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1

Graduate Integrating Gullstrand-Plainleve Coordinates in Kerr Metric

  • stevebd1
  • · Replies 1 ·
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1

Undergrad Finding limits of summations and derivatives of sums

  • Zharkkaronn
  • · Replies 1 ·
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1

Graduate A Solid Calculus and beyond Text

  • physman88
  • · Replies 2 ·
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2

Graduate Why does the proof of Cauchy sequences use epsilon over 2?

  • lion0001
  • · Replies 10 ·
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10

Graduate How can the following integral be evaluated for x^2<1?

  • meichenl
  • · Replies 7 ·
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7

Undergrad Finding Partial Derivative of an Integral

  • physman88
  • · Replies 4 ·
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4

Undergrad Finding k in exponential growth when population doubles in 4 hours

  • cango91
  • · Replies 1 ·
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1

High School Can any one example a function that has limit just in one point

  • hadi amiri 4
  • · Replies 4 ·
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4

Graduate Convergent series. Is my logic correct?

  • emilkh
  • · Replies 2 ·
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2

Graduate Integrating sin(2t)e^-|t|e^-j2πft

  • sam.green
  • · Replies 3 ·
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3

Graduate What Are the Radii of Convergence for a Laurent Series Around a Singular Point?

  • naggy
  • · Replies 5 ·
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5

Undergrad Regular derivative vs. partial derivative

  • DocZaius
  • · Replies 5 ·
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5

Graduate Integrate over all values of a vector

  • Ionophore
  • · Replies 5 ·
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5

Undergrad How can I find the critical points of a function involving fractions?

  • Дьявол
  • · Replies 17 ·
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17

Graduate Why Does Integration of Certain Functions Result in Infinity?

  • touqra
  • · Replies 3 ·
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3

Graduate If g is integrable and positive at infinitely many points, is ∫g > 0?

  • kala
  • · Replies 11 ·
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11

Graduate Taylor Representation of the Floor Function

  • flouran
  • · Replies 23 ·
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23

Undergrad Why Transform Integrals of Differential Functions?

  • Dumbledore
  • · Replies 7 ·
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7

Graduate Why Is e/2 Used in the Cauchy Sequence Proof?

  • lion0001
  • · Replies 2 ·
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2

Undergrad Integrate (tan x)^2(sec x)

  • coverband
  • · Replies 5 ·
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5

Undergrad Integration that leads to a inverse trig identity

  • Minutemade
  • · Replies 1 ·
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1

Undergrad Limit of x^x^x as x->0 from right

  • emilkh
  • · Replies 8 ·
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8

Graduate Explanation of Cauchy Proof for Convergent Sequence

  • lion0001
  • · Replies 3 ·
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3

High School Why does 2(sin(a)*cos(a))= sin(2a) ?

  • Georgepowell
  • · Replies 27 ·
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27

Graduate Proof of Fubini's Theorem: Integrating h(x,y)

  • grossgermany
  • · Replies 2 ·
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2

Undergrad How to Write a Program to Solve an Integral with Subintervals?

  • bethi309
  • · Replies 4 ·
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4

Graduate Sandwich theorem for lebesgue integral

  • onthetopo
  • · Replies 10 ·
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10

Graduate Derive integral of sqrt(x^2-a^2)

  • coverband
  • · Replies 1 ·
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1

Undergrad Making h or d the subject of y = (1/2π(d-h))ln(d/h)

  • dadamike
  • · Replies 1 ·
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1

Undergrad Unit Normal Vector normal, but not normalized?

  • Joskoplas
  • · Replies 5 ·
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5

Undergrad How can I integrate Sqrt[x^2-a] using trig substitutions?

  • coverband
  • · Replies 4 ·
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4

Undergrad Integrating the Square Root of a Polynomial: (4 - x^2)^1/2

  • optics.tech
  • · Replies 2 ·
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2

Graduate Epsilon-delta test for continuity

  • Marin
  • · Replies 12 ·
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12

Undergrad Is every continuous function a derivative?

  • kala
  • · Replies 2 ·
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2

Graduate Linear transformation derivative in Spivak's definition

  • krcmd1
  • · Replies 9 ·
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9

Graduate Uncountability of neighborhoods in R^n

  • variety
  • · Replies 6 ·
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6

Undergrad Where Can I Find Vector Algebra Videos for Electromagnetic Studies?

  • rela
  • · Replies 2 ·
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2

Undergrad How Do You Determine the Ranges of u and v in Multivariable Transformations?

  • kingwinner
  • · Replies 3 ·
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3

Undergrad Understanding Continuity and Intervals for Limits in Functions

  • noobie!
  • · Replies 4 ·
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4

Graduate Prove periodicity of exp/sin/cos from Taylor series?

  • Gerenuk
  • · Replies 17 ·
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17

Undergrad What Test is Used to Find Convergence in Series?

  • Savant13
  • · Replies 17 ·
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17

Graduate Derivatives of Sine and Cosine Relationship

  • Tac-Tics
  • · Replies 7 ·
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7

Graduate Laurent series for exp[(a/2)(z - 1/z)] with |z| > 0

  • Knightnole
  • · Replies 1 ·
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1

Graduate How to approximate this relation?

  • KFC
  • · Replies 1 ·
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1

Graduate Can a Set Be Measurable if Its Measure is Less Than the Sum of Its Parts?

  • Thorn
  • · Replies 10 ·
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10

Graduate How to Derive the Integral of Sqrt[x^2-a] Using Trigonometric Substitution?

  • coverband
  • · Replies 3 ·
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3

Graduate Conjecture: Limit Formula for n Approaching Infinity

  • jostpuur
  • · Replies 2 ·
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2

Undergrad What is the integral of (dy/dt)^2 ?

  • ELEN_guy
  • · Replies 2 ·
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2

Graduate Is there a smallest closed ball containing a closed set in a metric space?

  • hypermonkey2
  • · Replies 7 ·
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7

Undergrad Quick Integral/Derivative question.

  • synthetic.
  • · Replies 1 ·
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1

Graduate Vector Analysis: Seeking Guidance on Identity and Calculation

  • Marin
  • · Replies 1 ·
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1

Undergrad Finding the Limit of Partial Sums for a Series

  • Дьявол
  • · Replies 8 ·
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8

Undergrad How can I integrate 1/(1+e^x) by substituting u = e^{-x} + 1?

  • MaximumTaco
  • · Replies 4 ·
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4

Undergrad LIMITS approaches o+ - how come?

  • noobie!
  • · Replies 5 ·
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5

Undergrad Why does differentiating x^2 = x·x·...·x give 2x = x?

  • iitjee10
  • · Replies 5 ·
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5

Undergrad Solving inequalities in TWO variables?

  • kingwinner
  • · Replies 15 ·
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15

Undergrad What is the meaning of the dot product in calculus?

  • steez
  • · Replies 3 ·
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3

Graduate Uniform Continuity Proof for Functions on Closed Intervals

  • JG89
  • · Replies 4 ·
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4

Graduate Showing characteristic function isolates integral over subinterval

  • e(ho0n3
  • · Replies 14 ·
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14

Undergrad Proving Divergence of Harmonic Series

  • Дьявол
  • · Replies 7 ·
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7

Graduate Getting a delta function from an indefinite integral

  • pcalhoun
  • · Replies 2 ·
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2

Graduate Is the Converse of Polynomial Convexity True in Complex Analysis?

  • lark
  • · Replies 1 ·
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1