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

Undergrad Can a function be continuous if its domain is discrete?

  • pamparana
  • · Replies 4 ·
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4

Undergrad How to visualize a line integral

  • Isaiah Gray
  • · Replies 3 ·
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3

Graduate Fourier Transform of Bessel Function of the 1st Kind

  • Airsteve0
  • · Replies 2 ·
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2

Undergrad Can Summing Infinite Series to -1 Be Valid?

  • EternityMech
  • · Replies 7 ·
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7

Undergrad Does the Taylor series expansion for e^x converge quickly?

  • sandy.bridge
  • · Replies 3 ·
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3

Graduate Compactness and every infinite subset has a limit point

  • faradayslaw
  • · Replies 8 ·
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8

Graduate Prove of the complicated integral

  • shayaan_musta
  • · Replies 2 ·
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2

Graduate Shape of curves where product of distances equals b in Spivak's lemniscate problem

  • urdsirdusrnam
  • · Replies 2 ·
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2

Graduate Solving Integrals by Series Expansions

  • yfatehi
  • · Replies 10 ·
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10

Undergrad When can one Change order of derivatives?

  • Charanjit
  • · Replies 2 ·
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2

Graduate Strange proof of Young's inequality

  • AxiomOfChoice
  • · Replies 1 ·
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1

Graduate Inverse Fourier Transformation of a Fourier Transformation

  • SwordSmith
  • · Replies 3 ·
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3

Graduate Chain rule violated for arc length?

  • ajain
  • · Replies 3 ·
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3

Undergrad Posts: 1 How to write the Fourier series up to Nth harmonic?

  • red009
  • · Replies 4 ·
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4

Graduate What is the definition of analytic at infinity in complex analysis?

  • gauss mouse
  • · Replies 4 ·
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4

Undergrad Ln x/y = ln x - ln y From Integral 1/x dx only ?

  • Point Conception
  • · Replies 7 ·
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7

Graduate Integration with respect to the counting measure

  • AxiomOfChoice
  • · Replies 3 ·
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3

Graduate Differentiable on interval implies monotonic on some neighborhood of every point

  • Poopsilon
  • · Replies 8 ·
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8

Graduate Laplace Equation in Cartesian Coor.

  • Apteronotus
  • · Replies 4 ·
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4

Undergrad Can you take a derivative with respect to the dependent variable?

  • Stalker_VT
  • · Replies 26 ·
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26

Graduate Existence of meromorphic functions

  • lavinia
  • · Replies 3 ·
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3

Undergrad Why does the first derivative factor as 12x(x² − x − 2)?

  • PowerBuilder
  • · Replies 2 ·
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2

Graduate Chain Rule and Multivariable Calculus Question

  • Stalker_VT
  • · Replies 1 ·
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1

Undergrad Quotient rule for higher order derivatives

  • mmzaj
  • · Replies 17 ·
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17

Undergrad Substitution in Laplace Transform: Simplifying the Process of Finding Transforms

  • azserendipity
  • · Replies 1 ·
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1

Graduate Z-transform of a discrete convolution

  • samuelandjw
  • · Replies 4 ·
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4

Graduate Substitution changes limits of integration?

  • TUMath
  • · Replies 4 ·
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4

Graduate What is the definition of compact sets in real analysis?

  • felani
  • · Replies 2 ·
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2

Undergrad Solve Rate of Convergence Problems Easily

  • Zaphodx57x
  • · Replies 3 ·
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3

Graduate Do physicists know the Lebesgue integral?

  • imurme8
  • · Replies 5 ·
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5

Graduate Rigorously Proving Direct Proportionality: Let's Find Out!

  • MIB
  • · Replies 5 ·
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5

Graduate How does the del operator change with incompressibility assumption?

  • Hypatio
  • · Replies 4 ·
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4

Graduate Proving the BAC-CAB rule for vector triple products

  • Ask4material
  • · Replies 1 ·
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1

Graduate Integration of function in a region

  • phonic
  • · Replies 2 ·
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2

Graduate Approximating (x^2+a^2)^(1/4) w/ Error < 1e-6

  • dirk_mec1
  • · Replies 1 ·
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1

Graduate Fraction of integrals with different variables

  • huey910
  • · Replies 5 ·
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5

Undergrad Why m and n cannot both be even in the proof that √2 is irrational

  • f24u7
  • · Replies 3 ·
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3

Graduate Does a Function f(x,y,z) Satisfy Given Partial Derivatives?

  • kokai
  • · Replies 1 ·
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1

Graduate Prelim problem: bizarre integral expression

  • laonious
  • · Replies 3 ·
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3

Undergrad Can TI-83 Calculate Exponentials in Cartesian Form?

  • 14prc
  • · Replies 6 ·
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6

Undergrad Taylor Series/Newton Raphson Method question -Link Fixed

  • Shadow_7
  • · Replies 1 ·
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1

Undergrad What is the integral of ln(9-x) over ln(9-x) plus ln(x+3)?

  • rasi
  • · Replies 3 ·
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3

Graduate Orientation of Surface and edge of surface

  • Castilla
  • · Replies 7 ·
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7

Undergrad Taylor Series/Newton Raphson Method question

  • Shadow_7
  • · Replies 2 ·
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2

Undergrad Are implicit and partial differentiations related?

  • nomadreid
  • · Replies 2 ·
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2

Undergrad Finding the derivative vs differentiating vs finding the differential of a fn/eqtn

  • torquemada
  • · Replies 3 ·
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3

Graduate Is the Kronecker Delta Related to the Dirac Delta in Quantum Mechanics?

  • coki2000
  • · Replies 3 ·
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3

Undergrad Why does Δx tend to 0 when Δu tends to 0 in the chain rule?

  • cupu
  • · Replies 6 ·
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6

Graduate Proof that Every Compact Set is Bounded

  • gwsinger
  • · Replies 10 ·
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10

Graduate Complex Analysis proof question (from Markushevich text))

  • imurme8
  • · Replies 1 ·
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1

Undergrad Definite Integration: Solve (5∏/2) ∫y8 dy = 0.873

  • Rob K
  • · Replies 6 ·
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6

Graduate Relationship Between K-Cells and Intervals in Baby Rudin

  • gwsinger
  • · Replies 7 ·
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7

Undergrad What shape results from integrating the area of a circle?

  • Rob K
  • · Replies 5 ·
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5

Undergrad Integrals over different domains

  • bugatti79
  • · Replies 1 ·
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1

Graduate Hi,I'm trying to prove that [tex]\lim_{x\to 0}\Gamma(x) =

  • Froskoy
  • · Replies 4 ·
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4

Graduate Can You Solve This Bessel Function Equation Analytically?

  • vvthuy
  • · Replies 9 ·
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9

Graduate How can I use slope calculations to solve for sin(x)?

  • sbcdave
  • · Replies 3 ·
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3

Undergrad How Can You Effectively Visualize and Draw Vector Fields?

  • sandy.bridge
  • · Replies 1 ·
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1

Graduate Derivative of a complex function in terms of real and imaginary parts.

  • gauss mouse
  • · Replies 7 ·
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7

Graduate Does the dirac delta function have a Laplace transform?

  • AdrianZ
  • · Replies 1 ·
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1

Undergrad How can I find the derivative of an integration with respect to y?

  • phonic
  • · Replies 1 ·
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1

Undergrad Finding points of non-differentiability

  • Ashu2912
  • · Replies 2 ·
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2

Graduate Analytic continuation of the zeta function

  • galoisjr
  • · Replies 2 ·
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2

Graduate Continuous functions on Cartesian products and Fredholm integral equations

  • matematikuvol
  • · Replies 2 ·
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2

Graduate Unclear step in diam(S) = supS − inf S proof

  • newToMetricSp
  • · Replies 1 ·
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1

Graduate The additive function is bounded

  • LikeMath
  • · Replies 1 ·
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1

Undergrad Graphing f(x) = e^x/x and Testing for Infinity

  • tomwilliam
  • · Replies 2 ·
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2

Graduate Transforming differential operators under change of variables in PDEs

  • AxiomOfChoice
  • · Replies 1 ·
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1

Graduate Equality of mixed partial derivatives of order >2

  • NickMusicMan
  • · Replies 1 ·
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1

Undergrad Find the general expression from k=0 to 'n'

  • joao_pimentel
  • · Replies 10 ·
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10

Graduate Derive \dot v: A Thermo Relation for V, m and v

  • An1MuS
  • · Replies 1 ·
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1

Undergrad Interchanging summation with integral, differentiation with integral

  • SadScholar
  • · Replies 6 ·
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6

Undergrad Double Integral volumes: Triangular base

  • dan5
  • · Replies 5 ·
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5

Graduate Implicit partial differentiation functional det[]

  • 54stickers
  • · Replies 3 ·
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3

Undergrad Analytic proof of continuity, differentiability of trig. functions

  • student10567
  • · Replies 2 ·
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2

Graduate Equality of integrals => equality of integrands

  • Derivator
  • · Replies 4 ·
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4

Graduate Physical definition of a complex angle

  • Thomas2054
  • · Replies 12 ·
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12

Undergrad Triple integral and cartesian coordinates

  • queenstudy
  • · Replies 9 ·
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9

Undergrad How to solve ∫x/(1+e^x) dx

  • all-black
  • · Replies 7 ·
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7

High School Solving an Nth Derivative Problem with f(x)= (3x+7)/(x+2)

  • AkshayKG1000
  • · Replies 4 ·
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4

Undergrad Math problems to tell where you are with your knowledge of math

  • 2slowtogofast
  • · Replies 9 ·
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9

Graduate Can you prove that Re{n} > -1/2 without using a prefix?

  • Li(n)
  • · Replies 4 ·
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4

Graduate Continuous and smooth on a compact set implies differentiability at a point

  • resolvent1
  • · Replies 2 ·
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2

Series expansion formula for a limit problem

  • kahlan
  • · Replies 11 ·
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11

Graduate What Constitutes an Euclidean Space in Multivariable Calculus?

  • Damidami
  • · Replies 23 ·
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23

Graduate Open subsets and relative openness in Rudin's metric space definition

  • gwsinger
  • · Replies 4 ·
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4

Graduate Could There Be a Matrix Analog of the Del Operator?

  • Dindane
  • · Replies 1 ·
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1

Graduate Finding and recognizing infeasible Lagrange multiplier points

  • clustro
  • · Replies 5 ·
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5

Graduate Spivak Inverse Function Theorem Proof

  • krcmd1
  • · Replies 3 ·
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3

Undergrad What Are the Derivatives of |x| and [x]?

  • jobsism
  • · Replies 6 ·
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6

High School Location of proofs of trigonometric identities

  • michaelknight
  • · Replies 2 ·
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2

Undergrad Why does delta v approach zero in the quotient rule proof?

  • calcstudent1
  • · Replies 12 ·
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12

Undergrad Why doesn't the power rule work for integrating 1/x?

  • 2^Oscar
  • · Replies 24 ·
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24

Graduate Can two different infinite series converge to the same limit?

  • raphile
  • · Replies 3 ·
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3

Undergrad Limit existence, finiteness, algebra rules and L'Hôpital's rule

  • Ashu2912
  • · Replies 8 ·
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8

Undergrad Derivative of Finite Sums: Solve Your Problem Here

  • Milentije
  • · Replies 2 ·
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2

Graduate Finite Intersection of Open Sets Are Always Open?

  • gwsinger
  • · Replies 8 ·
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8

Undergrad Question regarding Fourier Transform/e^-2pi*i

  • pawnwarp
  • · Replies 3 ·
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3

Undergrad AP Calculus AB: Solving Limits Question on Continuity

  • Chirag B
  • · Replies 1 ·
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1

Graduate How Does Non-Radial Symmetry Affect the Fourier Transform of 1/|r|?

  • Morberticus
  • · Replies 4 ·
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4