Skip to main content

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.

Sub-forums

Differential Equations

Mixed approximation vs. full approximation for a power series expansion

6.8K threadsApr 17, 2026

Undergrad Mixed approximation vs. full approximation for a power series expansion

Apr 17, 2026

Filters

Undergrad Help Needed: Linear Interpolation & Numerical Integration Basics

sparsh
Apr 20, 2006 · Replies 6 · Apr 20, 2006

Replies: 6

Graduate What is the connection between fractals and Brownian motion?

jimbo007
Apr 18, 2006 · Replies 4 · Apr 20, 2006

Replies: 4

Graduate An Analytical Approach to Evaluating an Integral

bomba923
Apr 18, 2006 · Replies 4 · Apr 20, 2006

Replies: 4

Undergrad Can I use integration by parts recursively on this?

cscott
Apr 17, 2006 · Replies 7 · Apr 19, 2006

Replies: 7

Undergrad Is This Integral More Challenging Than It Appears?

Nea
Apr 17, 2006 · Replies 5 · Apr 18, 2006

Replies: 5

Graduate Cauchy,s theorem on real plane?(R^2)

eljose
Apr 16, 2006 · Replies 4 · Apr 17, 2006

Replies: 4

Graduate Why the fifth order polynomial roots can,t be obtained exactly?

eljose
Apr 15, 2006 · Replies 10 · Apr 17, 2006

Replies: 10

Graduate What Are the Residues and Poles of a Function?

quasar987
Apr 16, 2006 · Replies 1 · Apr 17, 2006

Replies: 1

Graduate Determination of logarithm (complex)

quasar987
Apr 16, 2006 · Replies 4 · Apr 16, 2006

Replies: 4

Undergrad Point P is a point of inflection?

Hootenanny
Apr 16, 2006 · Replies 3 · Apr 16, 2006

Replies: 3

Undergrad Anyone knows website about vector calculus

maverick6664
Apr 16, 2006 · Replies 1 · Apr 16, 2006

Replies: 1

Undergrad Domain and Range of the functions

kidia
Apr 15, 2006 · Replies 1 · Apr 16, 2006

Replies: 1

Graduate Harmonic functions - complex analysis

sweetvirgogirl
Apr 11, 2006 · Replies 10 · Apr 15, 2006

Replies: 10

Graduate Find Distance to Curve for Arbitrary Point - Nille

LostInSpace
Apr 15, 2006 · Replies 1 · Apr 15, 2006

Replies: 1

Graduate Can the sums of these strange series be calculated using this method?

eljose
Apr 14, 2006 · Replies 3 · Apr 15, 2006

Replies: 3

Graduate Can We Expand a Non-L^2 Function into an Orthonormal Basis?

eljose
Apr 11, 2006 · Replies 4 · Apr 15, 2006

Replies: 4

Graduate Understanding the Meaning of \delta W

gulsen
Apr 12, 2006 · Replies 11 · Apr 14, 2006

Replies: 11

Graduate What Does It Mean for a Function to Be Holomorphic at Infinity?

quasar987
Apr 11, 2006 · Replies 6 · Apr 14, 2006

Replies: 6

Undergrad Why are epsilon-delta proofs important in analysis but not in calculus?

loom91
Apr 12, 2006 · Replies 5 · Apr 14, 2006

Replies: 5

Graduate Another Complex Analysis Question

Edwin
Apr 12, 2006 · Replies 2 · Apr 13, 2006

Replies: 2

Graduate How Does Analytic Continuation Affect Dirichlet Series?

benorin
Mar 27, 2006 · Replies 7 · Apr 13, 2006

Replies: 7

Graduate Uniform convergence of integrable functions

hooker27
Apr 10, 2006 · Replies 3 · Apr 11, 2006

Replies: 3

Undergrad What is the Difference Between Log, ln, arg, and Arg in Complex Analysis?

sweetvirgogirl
Apr 8, 2006 · Replies 7 · Apr 10, 2006

Replies: 7

Graduate Solving Surface Integral: x(C - x^2/3)^3/2 dx

gulsen
Apr 7, 2006 · Replies 8 · Apr 10, 2006

Replies: 8

Graduate Solving Taylor's Theorem for f(x)=ln(x+1) at x=1.5

factor
Apr 9, 2006 · Replies 3 · Apr 10, 2006

Replies: 3

Graduate Does pointwise convergence guarantee the intermediate value property?

Treadstone 71
Apr 9, 2006 · Replies 5 · Apr 10, 2006

Replies: 5

Undergrad Find x: A Simple Formula to Solve x + x^2 + x^3 +...+ x^n = 1

michaelkane
Apr 9, 2006 · Replies 1 · Apr 9, 2006

Replies: 1

Graduate What is the Difference Between Limit Superior and Limit Inferior in Sequences?

kaosAD
Apr 8, 2006 · Replies 3 · Apr 9, 2006

Replies: 3

Graduate Complex Analysis and Change of Variables in Line Integrals

Edwin
Apr 7, 2006 · Replies 2 · Apr 8, 2006

Replies: 2

Graduate Does the Bessel Function Identity J_n-1(z) + J_n+1(z) = (2n/z) J_n(z) Hold?

bdj03001
Apr 7, 2006 · Replies 1 · Apr 8, 2006

Replies: 1

Graduate Complex analysis - something really confusing

sweetvirgogirl
Apr 7, 2006 · Replies 1 · Apr 7, 2006

Replies: 1

Graduate Starting point not defined for contour integrals?

chocok
Apr 6, 2006 · Replies 1 · Apr 7, 2006

Replies: 1

Graduate Help on simple-looking ineqality

phonic
Apr 6, 2006 · Replies 2 · Apr 7, 2006

Replies: 2

Graduate Can Transcendental Functions be Solved Using Polynomial Equations?

profionus
Apr 5, 2006 · Replies 5 · Apr 7, 2006

Replies: 5

Graduate Proving Inequality Using Jensen's Inequality

ReyChiquito
Apr 4, 2006 · Replies 3 · Apr 6, 2006

Replies: 3

Undergrad Solving Power Series Limits: Find ak Value for S 4^n z^(3n)

sweetvirgogirl
Apr 4, 2006 · Replies 6 · Apr 6, 2006

Replies: 6

Graduate Limit of sequence equal to limit of function

Castilla
Apr 5, 2006 · Replies 1 · Apr 5, 2006

Replies: 1

Undergrad Why is -1/(0²) considered -Infinity while 1/0 is undefined?

cscott
Apr 4, 2006 · Replies 6 · Apr 4, 2006

Replies: 6

Undergrad Approximating k with Shooting Method and Euler's Method

androol
Mar 31, 2006 · Replies 1 · Apr 4, 2006

Replies: 1

Graduate What is the Method for Finding the Derivative of a Zeta Function?

heartless
Apr 2, 2006 · Replies 2 · Apr 3, 2006

Replies: 2

Graduate Cauchy-Riemann and Linear Independence

kryptyk
Mar 30, 2006 · Replies 8 · Apr 2, 2006

Replies: 8

Graduate Missing step in engineering problem

Indi
Mar 30, 2006 · Replies 4 · Mar 30, 2006

Replies: 4

Graduate Ellipse in intrinsic coordinates

chronon
Mar 30, 2006 · Replies 1 · Mar 30, 2006

Replies: 1

Graduate Can We Simplify the Rotating Energy Sum in Statistical Mechanics?

TheDestroyer
Mar 29, 2006 · Replies 5 · Mar 29, 2006

Replies: 5

Graduate Legendre polynomials application

romant61
Mar 29, 2006 · Replies 1 · Mar 29, 2006

Replies: 1

Graduate Complex Analysis: Cauchy-Goursat Theorem & Independence of Path

Cincinnatus
Mar 29, 2006 · Replies 5 · Mar 29, 2006

Replies: 5

Undergrad Solve using the quadratic formula

Aka
Mar 29, 2006 · Replies 2 · Mar 29, 2006

Replies: 2

Undergrad Can roots be at the same points as POI's?

frenkie
Mar 28, 2006 · Replies 3 · Mar 29, 2006

Replies: 3

Graduate Vector Derivative: Unifying Calculus on Manifolds and Complex Analysis

kryptyk
Mar 17, 2006 · Replies 10 · Mar 28, 2006

Replies: 10

Graduate Back Transformation for Legendre Polynomials

WARGREYMONKKTL
Feb 27, 2006 · Replies 3 · Mar 28, 2006

Replies: 3

Graduate Closed curve and orthogonal curvilinear coordinate system

traianus
Mar 23, 2006 · Replies 9 · Mar 28, 2006

Replies: 9

Graduate Advanced Calculus: Frenet Formulas & Radius of Curvature

binarybob0001
Mar 25, 2006 · Replies 3 · Mar 27, 2006

Replies: 3

Graduate Oddball Zeta functional equation: uh?

benorin
Mar 27, 2006 · Replies 2 · Mar 27, 2006

Replies: 2

Undergrad What are the interesting points on the graph of sin(x/2)?

frenkie
Mar 27, 2006 · Replies 14 · Mar 27, 2006

Replies: 14

Graduate What is the Definition and Equivalence of the Norm of a Bounded Operator?

Euclid
Mar 22, 2006 · Replies 6 · Mar 27, 2006

Replies: 6

Graduate Can Analytical Continuation Extend Asymptotic Expansions to Lower Values of x?

eljose
Mar 24, 2006 · Replies 3 · Mar 25, 2006

Replies: 3

Graduate Irrational Number and the Borel Sets

BSMSMSTMSPHD
Mar 22, 2006 · Replies 3 · Mar 23, 2006

Replies: 3

Graduate Solving the Laplace Nightmare: Inverse Transform of an RL Circuit

bingie
Mar 20, 2006 · Replies 3 · Mar 23, 2006

Replies: 3

Graduate Can we construct the functions a0,a1,a2,... by knowing G(x) for big x?

eljose
Mar 21, 2006 · Replies 1 · Mar 22, 2006

Replies: 1

Graduate Riesz lemma for Lebesgue differentiation theorem

Castilla
Mar 19, 2006 · Replies 16 · Mar 21, 2006

Replies: 16

Graduate Can Poles of Integer Order be Eliminated in the Redefinition of Integrals?

eljose
Mar 20, 2006 · Replies 3 · Mar 21, 2006

Replies: 3

Graduate RH involves limits of mobius transformations

Jonny_trigonometry
Mar 19, 2006 · Replies 5 · Mar 21, 2006

Replies: 5

Undergrad What are some interesting math questions to explore?

eljose
Mar 7, 2006 · Replies 5 · Mar 21, 2006

Replies: 5

Graduate Are there specific conditions for functions in a non-documented metric?

leon1127
Mar 19, 2006 · Replies 5 · Mar 20, 2006

Replies: 5

Undergrad Problem with these types of integrals

Jacob87411
Mar 19, 2006 · Replies 2 · Mar 20, 2006

Replies: 2

High School Is Asymptote a Visualization of Limit in Mathematics?

Helicobacter
Mar 19, 2006 · Replies 3 · Mar 20, 2006

Replies: 3

Undergrad Product rule instead of quotient rule?

Flatland
Mar 19, 2006 · Replies 3 · Mar 19, 2006

Replies: 3

Undergrad How Do You Calculate the Average Value of a Function Using Integrals?

Flatland
Mar 19, 2006 · Replies 5 · Mar 19, 2006

Replies: 5

Undergrad The Fundamental Theorems of Calculus

misskitty
Mar 8, 2006 · Replies 30 · Mar 19, 2006

2

Replies: 30

Undergrad Finding the particular solution of DE

overseastar
Mar 18, 2006 · Replies 4 · Mar 19, 2006

Replies: 4

High School Why is the change in y different than expected when using derivatives?

Line
Mar 19, 2006 · Replies 4 · Mar 19, 2006

Replies: 4

Graduate Asymptotic expansion of complex integrals?

eljose
Mar 18, 2006 · Replies 4 · Mar 19, 2006

Replies: 4

Graduate Average value of a function sent to infinity

hypermonkey2
Mar 17, 2006 · Replies 9 · Mar 18, 2006

Replies: 9

Graduate Can Complex Analysis Techniques Split Double Poles into Isolated Singularities?

Edwin
Mar 11, 2006 · Replies 8 · Mar 18, 2006

Replies: 8

Undergrad How to Integrate the Motion Equation?

WARGREYMONKKTL
Mar 15, 2006 · Replies 4 · Mar 16, 2006

Replies: 4

Graduate Find Potential Integral: Solve \frac{(r')^2 - 2 (r'') r}{r^2}

gulsen
Mar 4, 2006 · Replies 7 · Mar 15, 2006

Replies: 7

Undergrad Is the Example for Series in Wikipedia Incorrect?

Weather Freak
Mar 12, 2006 · Replies 7 · Mar 13, 2006

Replies: 7

Graduate How can I construct a C^{\infty} approximation to a tent function?

Hurkyl
Mar 13, 2006 · Replies 5 · Mar 13, 2006

Replies: 5

Graduate Mastering a Tricky Integral: Solving Linear 1st Order ODEs with x, Log, and e

uart
Mar 12, 2006 · Replies 10 · Mar 13, 2006

Replies: 10

Undergrad What is the Role of Calculus in Mathematical Modeling for Physics?

WARGREYMONKKTL
Mar 8, 2006 · Replies 14 · Mar 13, 2006

Replies: 14

High School How Do You Find the Derivative of an Inverse Function?

KingNothing
Mar 12, 2006 · Replies 5 · Mar 13, 2006

Replies: 5

Graduate Exploring Royden's Real Analysis: Measure Theory vs. Riesz Approach

Castilla
Mar 9, 2006 · Replies 2 · Mar 10, 2006

Replies: 2

Graduate Convergence question on analytic continuation of Zeta fcn

benorin
Feb 25, 2006 · Replies 3 · Mar 10, 2006

Replies: 3

Graduate Proving Double Sum Equivalence

James R
Mar 8, 2006 · Replies 7 · Mar 9, 2006

Replies: 7

Graduate Primes, Complex-Contours, and Reimann

saltydog
Feb 27, 2006 · Replies 22 · Mar 8, 2006

Replies: 22

Graduate Help with an integration problem

vix_cse
Mar 8, 2006 · Replies 1 · Mar 8, 2006

Replies: 1

Undergrad What is the Integral of a Function with a Constant in the Denominator?

gulsen
Feb 26, 2006 · Replies 18 · Mar 8, 2006

Replies: 18

Undergrad Express sin4x in terms of sinx?

kgh0st
Mar 7, 2006 · Replies 3 · Mar 8, 2006

Replies: 3

Graduate Highest element of the expression n^(1/n)

rahl__
Mar 7, 2006 · Replies 4 · Mar 7, 2006

Replies: 4

Graduate Simplifying a Complicated Double Integral?

Hendrik
Feb 18, 2006 · Replies 9 · Mar 7, 2006

Replies: 9

Undergrad Derive the limit of an expression (1+1/n)^n

rahl__
Mar 6, 2006 · Replies 5 · Mar 6, 2006

Replies: 5

Graduate How to Interpret Multidimensional Limits?

melknin
Mar 5, 2006 · Replies 2 · Mar 6, 2006

Replies: 2

Graduate Summation Equation, Trying to solve this recurrence forumla.

bobbybob
Mar 5, 2006 · Replies 2 · Mar 5, 2006

Replies: 2

Graduate Convolutions, delta functions, etc.

reklar
Mar 3, 2006 · Replies 5 · Mar 5, 2006

Replies: 5

Graduate Images under exp in complex plane

erraticimpulse
Mar 1, 2006 · Replies 2 · Mar 2, 2006

Replies: 2

Graduate What is the geometric interpretation of the partial derivative?

gulsen
Feb 25, 2006 · Replies 7 · Mar 1, 2006

Replies: 7

High School How Do You Differentiate the Function y = 2^x + x - 4?

mr bob
Feb 23, 2006 · Replies 13 · Mar 1, 2006

Replies: 13

Graduate Are the complements of homeomorphic compact connected subsets homeomorphic?

AKG
Feb 23, 2006 · Replies 7 · Feb 27, 2006

Replies: 7

Graduate Wrong Corollary? Weierstrass M-Test & Power Series

quasar987
Feb 27, 2006 · Replies 4 · Feb 27, 2006

Replies: 4

Graduate I'm writing my senior thesis on Dirichlet Series

benorin
Feb 27, 2006 · Replies 4 · Feb 27, 2006

Replies: 4

sidebar

Calculus

Welcome to the Calculus forum!

Calculus is a branch of mathematics that focuses on the study of continuous change and motion.

It comprises two primary branches: differential calculus, which examines rates of change and slopes of curves, and integral calculus, which deals with accumulation and the calculation of areas under curves. Developed independently by Isaac Newton and Gottfried Wilhelm Leibniz in the 17th century, calculus has become a fundamental tool in various scientific and engineering disciplines.

It provides a powerful framework for analyzing and modeling dynamic processes, such as motion, growth, and decay, and forms the basis for understanding concepts like derivatives and integrals, essential for advanced mathematical and scientific studies.

Hot Threads

M
Undergrad Why ##a^0=1##?
- Started by Mike_bb
- Apr 10, 2026
- Replies: 85
- Calculus
Undergrad Finding the minimum distance between two curves
- Started by Charles Link
- Mar 28, 2026
- Replies: 35
- Calculus
J
High School Arc Length for Hyperbolic Sin
- Started by JCMateri
- Feb 15, 2026
- Replies: 6
- Calculus
M
Undergrad Why is ##x=e^y## the inverse of ##y=\int_1^x \frac{1}{t} dt##?
- Started by Mike_bb
- Jun 24, 2026
- Replies: 43
- Calculus
Undergrad Best way to numerically solve this system of equations?
- Started by Ax_xiom
- Jul 9, 2026
- Replies: 19
- Calculus

Top