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 I'm writing my senior thesis on Dirichlet Series

  • benorin
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Graduate Why does a rational function have exactly max{n,d} roots and poles?

  • quasar987
  • · Replies 14 ·
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Graduate Can a Continuous Function Map Reals to Rationals?

  • JasonRox
  • · Replies 35 ·
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Undergrad Improper integral of 1/x from –1 to 1

  • robert spicuzza
  • · Replies 5 ·
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Graduate Proving A_n(r) = (n!/r^(2n+1))[P_n(r)sin r - Q_n(r)cos r]

  • physicsRookie
  • · Replies 1 ·
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1

High School Calculating the First Derivative

  • bill nye scienceguy!
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Undergrad How can I find the minimum value for the sum of absolute values?

  • Jorge
  • · Replies 3 ·
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High School Integral of 2/(Y+1) - Solution without Calculator

  • Whitebread
  • · Replies 4 ·
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4

Graduate Evaluation of a Sinc Integral: Solving a Common Problem in Communications Theory

  • chroot
  • · Replies 5 ·
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5

Graduate How Do Apostol's and Le's Definitions of Measurable Functions Relate?

  • Castilla
  • · Replies 2 ·
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Undergrad End behavior models: can products like -x*sin(x) be correct?

  • KingNothing
  • · Replies 7 ·
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7

Undergrad When Can Physicists Treat Symbols Like Ordinary Variables in Equations?

  • cliowa
  • · Replies 7 ·
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7

Undergrad Find Sum of Series a^2: Law, Examples, Types

  • heaven eye
  • · Replies 3 ·
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3

Graduate Finding Connected Sets in a Rectangle

  • HallsofIvy
  • · Replies 7 ·
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7

Graduate Can smooth and analytic be used interchangeably?

  • dextercioby
  • · Replies 3 ·
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3

Undergrad Is the Notation f(x)dx a Multiplication or a Symbol?

  • C0nfused
  • · Replies 9 ·
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9

Undergrad Does a Continuous Function Need to Be One-to-One?

  • JasonRox
  • · Replies 7 ·
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7

Undergrad Finding Tangent Lines for Parabolas: A Mathematical Approach

  • Menos
  • · Replies 8 ·
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8

Graduate How Can I Derive Sumations with Multiple Indices and Powers?

  • jetoso
  • · Replies 5 ·
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5

Undergrad How to transition from plug-and-chug calculus to rigorous analysis

  • Pseudo Statistic
  • · Replies 9 ·
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9

Undergrad What is the Definition of d(a^x)/dx?

  • G01
  • · Replies 3 ·
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3

Graduate Ways of learning Lebesgue integration

  • Castilla
  • · Replies 2 ·
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2

Undergrad Differentiability VS derivability

  • quasar987
  • · Replies 7 ·
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7

Graduate Partial Differential Equations - Variable Seperable Solutions

  • TZW85
  • · Replies 2 ·
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2

Graduate Continuous generalization of finite harmonic-like sums

  • TheDestroyer
  • · Replies 3 ·
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3

Undergrad Integration/Double Integrals Advice Required

  • Nima
  • · Replies 5 ·
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5

Graduate Does uniform convergence preserve piecewise continuity?

  • T-O7
  • · Replies 4 ·
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4
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4

Undergrad Definition of the Definite Integral

  • Soaring Crane
  • · Replies 7 ·
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7

Graduate Does a Fourier transform exist for this (smooth) f.?

  • rachmaninoff
  • · Replies 1 ·
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Graduate Find the result of this integration

  • Ali 2
  • · Replies 8 ·
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8

Graduate Integrands that vanish everywhere

  • StatusX
  • · Replies 1 ·
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1

Graduate Integrating x*ln²(ax)*exp(-bx²+cx) from 0 to ∞

  • ari_a
  • · Replies 3 ·
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3

Graduate What Are the Sum and Product of the Roots of This Complex Polynomial?

  • BlakeJA
  • · Replies 1 ·
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1

Undergrad Does 0.999~ Equal 1?

  • QuantumTheory
  • · Replies 86 ·
3
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Undergrad How to Calculate the Average Value of a Sinusoid Over a Given Interval?

  • perryben
  • · Replies 3 ·
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Undergrad Can a Periodic Function and Gamma Function Solve a Functional Equation?

  • Orion1
  • · Replies 51 ·
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Undergrad Using Linear Algebra to solve systems of non-linear equations

  • Edwin
  • · Replies 9 ·
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9

Undergrad Proving the reverse triangle inequality ||x|-|y||≤|x-y|

  • MathematicalPhysicist
  • · Replies 11 ·
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Graduate Integrate Fun Math Challenges for New Year's Celebration

  • samalkhaiat
  • · Replies 37 ·
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Undergrad Does the series f_n(x)= x^n/1 + x^n converge on the interval [0,1]?

  • Pearce_09
  • · Replies 4 ·
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Undergrad Integral of derivative inconsistent

  • dc20
  • · Replies 6 ·
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Graduate Are Delta and Epsilon Formulas Universally Applicable for Polynomial Limits?

  • Orion1
  • · Replies 10 ·
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Undergrad Can You Calculate Time Change Over 40 Centuries?

  • AMD ZEN
  • · Replies 5 ·
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5

Undergrad Finding the Limit of x->0+ sqrtx/(1-cosx)

  • apchemstudent
  • · Replies 12 ·
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Undergrad Assume that f is non-negative on (0,1)

  • mansi
  • · Replies 1 ·
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Graduate Bisecting indefinitely a real interval

  • Castilla
  • · Replies 7 ·
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Graduate Equality holds in Minkowski's Inequality when

  • benorin
  • · Replies 2 ·
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Undergrad Which math software is recommended for advanced math classes?

  • Nothing000
  • · Replies 19 ·
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Undergrad How to Solve a Transformation Problem for Variables a and b?

  • LakeMountD
  • · Replies 1 ·
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Undergrad Review in calc I to prepare for calc II

  • ranger
  • · Replies 4 ·
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4

Undergrad Is Mathematica able to accurately graph this function at such a small domain?

  • Orion1
  • · Replies 15 ·
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Graduate Why does ∇ × (u × v) equal that expansion?

  • niehls
  • · Replies 3 ·
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Undergrad Is the polynomial limit shortcut always valid?

  • Orion1
  • · Replies 2 ·
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High School Integration has to do with a square shape

  • dervast
  • · Replies 4 ·
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4

Graduate How can we expand a function near a singularity x=0?

  • eljose
  • · Replies 2 ·
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Undergrad Exponential word problem (i think)

  • Jacobpm64
  • · Replies 9 ·
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9

Graduate How does the sequence {b_n} converge to max {a, K}?

  • Castilla
  • · Replies 4 ·
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4

Undergrad What are the extreme values of the function SQR[9 - x^2]?

  • force
  • · Replies 10 ·
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10

Graduate Why is lower semicontinuity equivalent to liminf f(x) ≥ f(x₀)?

  • kaosAD
  • · Replies 10 ·
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10

Graduate How do I prove that a_n is a decreasing sequence of non-negative real numbers?

  • sparkster
  • · Replies 3 ·
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3

Undergrad Limit of x/[Sqrt(x^2+r^2)*r^2]

  • Repetit
  • · Replies 3 ·
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3

Graduate Are S(N) and the integral of x^p both divergent in the same way?

  • eljose
  • · Replies 2 ·
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2

Graduate Cable System Step Function Analysis

  • Cyrus
  • · Replies 7 ·
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7

Graduate Def. Continuity in terms of sequences: How do I generalize to multivariate fcns?

  • benorin
  • · Replies 6 ·
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6

Graduate Can the Sum of Powers Over an Integral Approach 1 as n Tends to Infinity?

  • eljose
  • · Replies 3 ·
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3

Graduate Is the solution to δF[φ]=G[φ,∂φ] given by a path integral?

  • eljose
  • · Replies 3 ·
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3

Undergrad How to go from a finite difference equation to a derivative for T cos θ

  • Cyrus
  • · Replies 15 ·
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15

Graduate Why does the Pythagorean identity hide parametrization errors in arc length?

  • Alkatran
  • · Replies 3 ·
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3

Graduate How Does Renormalization Address Divergences in Integrals?

  • eljose
  • · Replies 1 ·
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1

Undergrad Limit with n tending to infinity

  • eljose
  • · Replies 4 ·
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4

Undergrad How do I calculate the volume of water in a partially filled cone?

  • ISUPHYSICS
  • · Replies 1 ·
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1

Undergrad How can the illicit operation 0/0 be remedied?

  • roger
  • · Replies 30 ·
2
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30

Undergrad How Many Types of Integrals Exist and Can They Be Classified?

  • roger
  • · Replies 12 ·
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12

Graduate Partial Fractions: Finding Antiderivatives of Rational Functions

  • StatusX
  • · Replies 8 ·
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8

Graduate Solving Quantum Mechanics Integrals: Prove This One

  • maverick6664
  • · Replies 4 ·
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4

Graduate What is the limit of (kn)! / n^(kn) as n approaches infinity?

  • bomba923
  • · Replies 3 ·
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3

Graduate Do These Mathematical Series Converge?

  • bomba923
  • · Replies 1 ·
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1

Graduate How Can Dirichlet Integrals Be Generalized Using Special Functions?

  • benorin
  • · Replies 12 ·
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12

Undergrad Double integrals and center of mass

  • Jameson
  • · Replies 8 ·
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8

Graduate Can complex numbers be extended with a winding number dimension?

  • Jonny_trigonometry
  • · Replies 11 ·
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11

Undergrad Does the Ratio Test guarantee convergence for this infinite series?

  • MrBailey
  • · Replies 4 ·
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4

Graduate Validating Originality in Mathematical Proofs for Researchers

  • Jimmy Snyder
  • · Replies 41 ·
2
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41

Undergrad Some basic derivative-integral issues

  • Robokapp
  • · Replies 7 ·
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7

High School What Does the Derivative Notation in Calculus Represent?

  • Line
  • · Replies 25 ·
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25

Graduate Is a measure space necessary for integration?

  • NateTG
  • · Replies 2 ·
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2

Undergrad Why are there two different ops for normal and partial derivatives?

  • Treadstone 71
  • · Replies 8 ·
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8

Graduate Proving Hölder Continuity of f(u)=-1/(1+u)^2

  • incognitO
  • · Replies 3 ·
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3

High School Exponential equation vs Logarithmic

  • navneet
  • · Replies 5 ·
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5

Graduate What is the result of the complex integral with Riemann zeta function?

  • eljose
  • · Replies 3 ·
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3

Graduate Understanding the Proof of the Jacobian

  • leospyder
  • · Replies 3 ·
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3

Undergrad Determine when f is differentiable

  • SomeRandomGuy
  • · Replies 12 ·
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12

Undergrad Calculating Surface area/volume from 2D cross section?

  • SuperG
  • · Replies 9 ·
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9

Graduate Lagrange multipliers with inequality constraints

  • lynxman72
  • · Replies 7 ·
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7

Undergrad Isoperimetric Theorem what does it mean

  • ultrabionic_ang
  • · Replies 2 ·
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2

Graduate Infinite Series: rearrangement of Terms

  • MrBailey
  • · Replies 3 ·
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3

Graduate Does φₙ provide a valid counterexample to the limit property?

  • DeadWolfe
  • · Replies 8 ·
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8

Graduate How Do You Calculate the Lebesgue Integral of e^x from 1 to 10?

  • eljose
  • · Replies 2 ·
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2