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 Proving a Continuous Function has a Fixed Point

  • JellyFox
  • · Replies 4 ·
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4

Undergrad Derivative of sqrt(1-sin(x)) using the chain rule

  • unf0r5ak3n
  • · Replies 8 ·
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8

Undergrad Series and Factorial: Solve the Sum of Infinite Terms

  • thechunk
  • · Replies 5 ·
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5

Graduate Nth Derivative of a interesting function

  • ayae
  • · Replies 1 ·
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1

Graduate How to Prove \(\lim_{y\rightarrow0}\frac{y}{x^2+y^2}=\pi\delta(x)\)?

  • daudaudaudau
  • · Replies 3 ·
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3

Undergrad Chaning order of integration in double/triple integrals

  • mathmanmath
  • · Replies 6 ·
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6

Graduate Integrating a function involved error functions and a Gaussian kernel

  • bjteoh
  • · Replies 1 ·
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1

Graduate Unclear About Proof: Confused by Bounded Above Sets and Functions

  • freshlikeuhh
  • · Replies 1 ·
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1

Graduate Surjectivity of a Three-Dimensional Function with Non-Negative Real Inputs

  • atomqwerty
  • · Replies 13 ·
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13

Graduate Don't quite understand question

  • JG89
  • · Replies 1 ·
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1

Graduate Sum of a^k divided by (k-x)! from k=0 to infinity

  • _joey
  • · Replies 1 ·
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Graduate Can You Provide an Example of Strict Inequality in Bessel's Inequality?

  • jgthb
  • · Replies 5 ·
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5

Graduate Is the Subset A Closed in C([0,1]) with the Given Metric?

  • r4nd0m
  • · Replies 7 ·
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7

Graduate Euler-Maclaurin summation formula

  • TriTertButoxy
  • · Replies 1 ·
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1

Graduate How to prove if f(x) is infinitely differentiable

  • j-lee00
  • · Replies 15 ·
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15

Graduate Integrating x²e^{-(x²+2xp)/2σ²} from 0 to infinity

  • architect
  • · Replies 7 ·
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7

Undergrad Can the tension in a hanging cable be determined with known length and location?

  • joel_f
  • · Replies 4 ·
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4

Graduate Prove by using definition of limit

  • furi0n
  • · Replies 11 ·
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11

Graduate Why does Rudin claim every nonconstant linear functional is open?

  • redrzewski
  • · Replies 10 ·
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10

Undergrad Complex zeros of polynomial with no real zeros

  • bobus
  • · Replies 7 ·
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7

Graduate Changing variables on an integral question

  • dmatador
  • · Replies 2 ·
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2

Graduate Can a function on 2D be piecewise continuous?

  • mikeph
  • · Replies 1 ·
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1

Undergrad Understanding Integrals: Techniques and Solutions in Trig Identities

  • shelovesmath
  • · Replies 2 ·
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2

Undergrad What does it mean to have an integral with a lower bound of infinity?

  • dmatador
  • · Replies 2 ·
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2

Graduate Understanding Gradient Vector of Scalar Field (grad)

  • paul_harris77
  • · Replies 1 ·
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1

Graduate Solving Integral for A: {\int}^{\pi}_{0}A(x)sin(x) exp(-bsin(x)^{2})dx=1

  • buggykong
  • · Replies 1 ·
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1

Graduate Is a diffeomorphism if the inverse function

  • atomqwerty
  • · Replies 4 ·
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4

Undergrad Why does the divide-by-highest-power trick fail for slant asymptotes?

  • shooba
  • · Replies 2 ·
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2

Undergrad Understanding Taylor Series Approximations

  • j-lee00
  • · Replies 8 ·
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8

Graduate Understanding Matrices and GL(n,R) Functions

  • JG89
  • · Replies 8 ·
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8

Undergrad Double Integrals: Volume of a Solid in the First Octant

  • pandalover305
  • · Replies 1 ·
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1

Graduate Differentiating a definite integral

  • gaganaut
  • · Replies 2 ·
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2

Undergrad Minimum area between f(x) and a tangent line

  • brb8705
  • · Replies 4 ·
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4

Graduate Figuring Out a Substitution for an Integral Problem

  • Zorba
  • · Replies 1 ·
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1

Undergrad Does this differentiation trick work?

  • Archosaur
  • · Replies 8 ·
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8

Undergrad Is the Limit of x^n/e^x Equal to 0 for Negative Integers?

  • phymatter
  • · Replies 4 ·
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4

Undergrad Monotonicity of odd function and 1-1 function

  • xsw001
  • · Replies 3 ·
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3

Graduate Legendre Polynomials - expansion of an isotropic function on a sphere

  • petmal
  • · Replies 2 ·
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2

Undergrad Conformal mapping. From an ellipse to a rectangle

  • traianus
  • · Replies 8 ·
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8

Graduate Bolzano-wierstrass theorem and its dilemma when applied to cauchy sequence

  • jessicaw
  • · Replies 7 ·
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7

Graduate Integral of x^3 e^(x^2)/(x^2+1)^2

  • bhatnv
  • · Replies 4 ·
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4

Graduate Does this series have an analytical solution?

  • FrankDrebon
  • · Replies 2 ·
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2

Graduate Integrating product of bessel function,

  • thomitsu
  • · Replies 2 ·
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2

Graduate Dimensional regularization integral identity from Gradstein and Ryzhik?

  • romeo6
  • · Replies 5 ·
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5

Graduate Is the discontinuity of f(f(f(x))) at x=0 and x=1 non-removable?

  • phymatter
  • · Replies 3 ·
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3

Graduate To converge or to diverge, thats the q

  • mynameisfunk
  • · Replies 4 ·
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4

Undergrad Is There a Way to Fix Unbalanced Parentheses in a Function?

  • Compaq
  • · Replies 4 ·
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4

Undergrad What are the Conditions for Equality in Cauchy and Triangle Inequalities?

  • Design
  • · Replies 5 ·
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5

Graduate Derivation of Dirac Delta Function

  • coki2000
  • · Replies 8 ·
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8

Graduate Lower bound for the norm of the resolvent

  • alle.fabbri
  • · Replies 1 ·
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1

Graduate Directional Derivatives vs. Partial Derivatives

  • Buri
  • · Replies 10 ·
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10

Graduate Taylor's Expansion: Breaking Down a Monster Equation

  • Somefantastik
  • · Replies 3 ·
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3

Undergrad How do you relate variables in related rates problems?

  • dreit
  • · Replies 3 ·
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3

Undergrad (infinity)^infinity type of limits

  • phymatter
  • · Replies 1 ·
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1

Graduate Can Limits and Simple Functions Approximate Extended Real Functions?

  • wayneckm
  • · Replies 3 ·
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3

Graduate Why is the Cauchy Integral Formula Used for Integrating Residues on a Boundary?

  • hunt_mat
  • · Replies 7 ·
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7

Undergrad Integration Involving Dot Product?

  • FeDeX_LaTeX
  • · Replies 5 ·
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5

Undergrad Find f(x) Function: What is a One-to-One Function?

  • furi0n
  • · Replies 5 ·
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5

Undergrad How to Sum a Function with a Free Parameter in R?

  • aymer
  • · Replies 2 ·
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2

Undergrad If we know that as x -> to 0 , 1-cos(x)

  • phymatter
  • · Replies 2 ·
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2

Graduate Inverse and Implicit Function theorems

  • adityatatu
  • · Replies 5 ·
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5

Undergrad Apostol volume 1 calc? what do I need

  • tripsynth
  • · Replies 3 ·
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3

Graduate Integrating a Scalar Map over a Compact Manifold: What's So Special About It?

  • JG89
  • · Replies 1 ·
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1

High School Finding points with horizontal tangent lines for rational and radical functions

  • kings13
  • · Replies 2 ·
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2

Undergrad What is the Meaning of 8πr in Differentiating Sphere Volume?

  • Aeneas
  • · Replies 1 ·
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1

Undergrad 3D Space-Function of two variables

  • nalkapo
  • · Replies 3 ·
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3

Graduate If two subsequences have different limits, does the sequence converge?

  • soul
  • · Replies 6 ·
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6

Graduate Partial Derivatives of ln(x+y)/(xy)

  • littlesohi
  • · Replies 1 ·
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1

Graduate Definition of Absorbing Set in Topology Vector Space

  • AxiomOfChoice
  • · Replies 2 ·
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2

Graduate Understanding Partial Differentiation in Classical Mechanics

  • nonequilibrium
  • · Replies 8 ·
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8

Undergrad Designing a calculus riddle/scavenger hunt

  • blujay
  • · Replies 2 ·
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2

Undergrad Integral of -: (v^2+2v-1)/(v^3+v^2+v+1)

  • amaresh92
  • · Replies 4 ·
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4

Undergrad Convert f(x) to parametric holding something constant

  • ChickenChakuro
  • · Replies 7 ·
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7

Graduate Integrate z dz/√(z³-1)

  • peem
  • · Replies 2 ·
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2

Graduate Using the Theta Function to Solve for a Jacobi-Related Equation

  • Wizlem
  • · Replies 1 ·
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1

Graduate Does the tensor definition T̂={T⃗_k,e⃗_k} include summation convention?

  • Petar Mali
  • · Replies 9 ·
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9

Graduate Is d(x,y) = |x^3 - y^3| a Valid Metric in X?

  • mynameisfunk
  • · Replies 4 ·
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4

Graduate How can the stability of this numerical method be proven?

  • juaninf
  • · Replies 5 ·
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5

Graduate Complex Error Functions as Solutions to Gaussian Integrals

  • Morberticus
  • · Replies 1 ·
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1

Graduate Stupid questions of basic analysis

  • jessicaw
  • · Replies 3 ·
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3

Graduate Why Does Gaussian Integration Work?

  • Faceless Master
  • · Replies 1 ·
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1

Undergrad How Does a Definite Integral Yield an Imaginary Number?

  • paulfr
  • · Replies 5 ·
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5

Graduate Compact Operators on a Hilbert Space

  • lunde
  • · Replies 6 ·
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6

Graduate Extend Isometry from Semi-normed to Normed Space

  • wayneckm
  • · Replies 1 ·
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1

Undergrad Calculus and differential equations textbook recommendations

  • s0laris
  • · Replies 3 ·
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3

Graduate Products and ratios Bessel functions -> any known approximations?

  • nronald
  • · Replies 1 ·
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1

Graduate Does the Compactness Property Hold for Finite Subcollections of a Metric Space?

  • mynameisfunk
  • · Replies 4 ·
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4

Undergrad Why does f[x]=Sin[2x]+Sin[3x] Not Equal a Trig Function?

  • skyriver
  • · Replies 2 ·
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2

Graduate Closed interval is covering compact

  • Scousergirl
  • · Replies 7 ·
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7

Graduate Missing the 8xy term in second partial derivatives

  • yungman
  • · Replies 2 ·
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2

Undergrad What is the Limit Definition for Proving a Function Approaches 0?

  • freshlikeuhh
  • · Replies 1 ·
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1

Undergrad Period of sin4(x) + cos4(x): Find the Answer Here

  • phymatter
  • · Replies 5 ·
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5

Undergrad Integral Approximation/Error Analysis

  • rwsjyiy
  • · Replies 3 ·
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3

Graduate Lim as x->a f(x) = L PROOF using epsilon and delta

  • finishimx7
  • · Replies 2 ·
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2

Graduate Triangle inequality w/ Complex Numbers

  • mynameisfunk
  • · Replies 7 ·
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7

Undergrad Why epsilon-delta ranges aren't symmetric for x² as x approaches 5

  • TooManyHours
  • · Replies 6 ·
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6

Graduate Elementary Measure Theory Question

  • ntsivanidis
  • · Replies 2 ·
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2

Undergrad I'm looking for examples of integration that use this method

  • Ryuk1990
  • · Replies 5 ·
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5

Undergrad Implicit Differentiation and Complex numbers concept question

  • DrummingAtom
  • · Replies 9 ·
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9

Undergrad Have I Understood the Process of Proof by Contrapositive Correctly?

  • 2^Oscar
  • · Replies 1 ·
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1