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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.

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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

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Undergrad Uniform continuity of functions like x^2

SANGHERA.JAS
Nov 7, 2011 · Replies 2 · Nov 7, 2011

Replies: 2

Graduate A Cubic Function and a Straight Line with One-variable Calculus

seniorhs9
Nov 5, 2011 · Replies 3 · Nov 7, 2011

Replies: 3

Undergrad Finding Limit: Stuck on Calculus Exam Problem

Redoctober
Nov 7, 2011 · Replies 3 · Nov 7, 2011

Replies: 3

Graduate What is a Linear Combination of Spherical Harmonics?

Fyrefly
Nov 6, 2011 · Replies 1 · Nov 7, 2011

Replies: 1

Undergrad Is There a Trick to Integrating with Law of Cos?

cbirk
Nov 6, 2011 · Replies 1 · Nov 6, 2011

Replies: 1

Graduate Would it have been possible to discover calculus from set theory?

kramer733
Nov 6, 2011 · Replies 1 · Nov 6, 2011

Replies: 1

Graduate Set of all rational sequences countable?

rat bass
Nov 6, 2011 · Replies 2 · Nov 6, 2011

Replies: 2

Undergrad Local Minimum of y=x(e^1/x): Why Not (1,e)?

nickeisenberg
Nov 5, 2011 · Replies 3 · Nov 6, 2011

Replies: 3

Graduate Integrability, basic measure theory: seeking help with confusing result

diligence
Nov 6, 2011 · Replies 7 · Nov 6, 2011

Replies: 7

Graduate Proving Connectedness of a Set Given Closure Condition

PBRMEASAP
Mar 4, 2005 · Replies 22 · Nov 6, 2011

Replies: 22

Undergrad Solving Tangent Line Problem: 2y^3 + (6x^2)y - 12x^2 + 6y = 1

akxt
Nov 5, 2006 · Replies 8 · Nov 6, 2011

Replies: 8

Undergrad Cylindrical to rectangular coordinates

violette
Nov 6, 2011 · Replies 5 · Nov 6, 2011

Replies: 5

Undergrad Finding general formulas for a series of numbers.

1MileCrash
Nov 6, 2011 · Replies 3 · Nov 6, 2011

Replies: 3

Graduate Volume between truncated cone and an inclined plane

Simon Bridge
Nov 5, 2011 · Replies 3 · Nov 6, 2011

Replies: 3

Undergrad Directional Derivative of a discontinuous function

Useful nucleus
Nov 3, 2011 · Replies 5 · Nov 6, 2011

Replies: 5

Graduate Apostol definition of interior point and open set

kahwawashay1
Nov 4, 2011 · Replies 7 · Nov 6, 2011

Replies: 7

Graduate What Is Fractional Calculus and How Does It Work?

ssayani87
Nov 5, 2011 · Replies 3 · Nov 6, 2011

Replies: 3

Undergrad Calculus III Tips, Help, or Advice

AmagicalFishy
Nov 4, 2011 · Replies 4 · Nov 5, 2011

Replies: 4

Graduate What Are the Orthogonal Complements of Union and Intersection in Hilbert Spaces?

LikeMath
Nov 4, 2011 · Replies 13 · Nov 5, 2011

Replies: 13

Graduate Point-wise continuity on all of R using compact sets

Poopsilon
Nov 1, 2011 · Replies 12 · Nov 5, 2011

Replies: 12

Graduate Proving Existence of Sequence Converging to x in R

autre
Nov 4, 2011 · Replies 6 · Nov 4, 2011

Replies: 6

Graduate Selecting the correct bounds for polar integrals

blank_slate
Nov 3, 2011 · Replies 1 · Nov 4, 2011

Replies: 1

Graduate Zero curl and gradient of some scalar potential

redredred
Nov 3, 2011 · Replies 1 · Nov 4, 2011

Replies: 1

Graduate Integral (with respect to d(z/σ))

MechEng2010
Nov 4, 2011 · Replies 3 · Nov 4, 2011

Replies: 3

Graduate Radius of convergence around a=2 for ln(x)

nomadreid
Nov 3, 2011 · Replies 2 · Nov 4, 2011

Replies: 2

Graduate Why is the derivative of the sign function equal to Dirac's delta function?

DemoniWaari
Nov 2, 2011 · Replies 8 · Nov 4, 2011

Replies: 8

Undergrad Help with what I think is a differential problem

perjac
Nov 3, 2011 · Replies 1 · Nov 3, 2011

Replies: 1

Graduate Why is the differential being onto equivalent to it not being zero?

yifli
Nov 3, 2011 · Replies 2 · Nov 3, 2011

Replies: 2

Graduate What is the Construction of R using Equivalence Classes of Cauchy Sequences?

autre
Nov 3, 2011 · Replies 3 · Nov 3, 2011

Replies: 3

Undergrad Why the definition of limit is often written

mahmoud2011
Nov 3, 2011 · Replies 4 · Nov 3, 2011

Replies: 4

Undergrad Definition of piecewise continuous/piecewise smooth

AlonsoMcLaren
Nov 3, 2011 · Replies 1 · Nov 3, 2011

Replies: 1

Graduate Evalutaion of a real integral using the residue theorem

asmani
Nov 1, 2011 · Replies 4 · Nov 3, 2011

Replies: 4

Undergrad Finding an Indeterminate Limit with L'Hôpital's Rule: Help and Explanation

swampwiz
Nov 2, 2011 · Replies 3 · Nov 3, 2011

Replies: 3

Graduate Need help with Lagrange multipliers

Tiome_nguyen
Nov 2, 2011 · Replies 1 · Nov 3, 2011

Replies: 1

Graduate NEED HELP Measurable real valued functions

azztech77
Nov 2, 2011 · Replies 1 · Nov 3, 2011

Replies: 1

Graduate Is there a fourier series for ln(x)?

ChowPuppy
Nov 1, 2011 · Replies 3 · Nov 2, 2011

Replies: 3

High School Understanding Complex Planes-Graphs - Get Explanations Here

Bassalisk
Nov 2, 2011 · Replies 3 · Nov 2, 2011

Replies: 3

Graduate Interesting but useless equation?

eliudthorn
Nov 2, 2011 · Replies 2 · Nov 2, 2011

Replies: 2

Undergrad Is f:y=|ln(x)| a Complex Function?

PeetPb
Nov 1, 2011 · Replies 3 · Nov 2, 2011

Replies: 3

Undergrad Coordinate systems - finding optimal? simple conceptual question

elegysix
Nov 2, 2011 · Replies 2 · Nov 2, 2011

Replies: 2

Undergrad What is the formula for calculating the next summation?

streber
Nov 2, 2011 · Replies 1 · Nov 2, 2011

Replies: 1

Graduate What is the descent time on a cycloid?

brainpushups
Nov 1, 2011 · Replies 1 · Nov 2, 2011

Replies: 1

Graduate What is the reason that 1/x is not lebesgue integrable?

onthetopo
Dec 1, 2008 · Replies 12 · Nov 2, 2011

Replies: 12

Graduate What is the analytical expression for the error function and its integrals?

nanath
Oct 31, 2011 · Replies 7 · Nov 2, 2011

Replies: 7

Graduate Proving the Existence of the Exponential Number 'e' Using Geometric Approaches

DylanG
Nov 1, 2011 · Replies 7 · Nov 2, 2011

Replies: 7

Graduate Infinitely differentiable vs. continuously differentiable vs. analytic?

fleazo
Oct 31, 2011 · Replies 13 · Nov 1, 2011

Replies: 13

Graduate How Do You Decompose a Complex Function into Real and Imaginary Parts?

fleazo
Nov 1, 2011 · Replies 5 · Nov 1, 2011

Replies: 5

Graduate There are rationals between any two reals? - Rudin 1.20

gwsinger
Oct 23, 2011 · Replies 6 · Nov 1, 2011

Replies: 6

Graduate Understanding Exactness & Path Independence: Geometric Intuition

fleazo
Oct 31, 2011 · Replies 1 · Nov 1, 2011

Replies: 1

Graduate Why Does Monotone Convergence Theorem Confirm Integral Bounds?

tjkubo
Nov 1, 2011 · Replies 5 · Nov 1, 2011

Replies: 5

Undergrad Derivative of arcsec(x) and arccsc(x)

NoOne0507
Oct 28, 2011 · Replies 2 · Nov 1, 2011

Replies: 2

Graduate Integral of complicated exponential functions

Wu Xiaobin
Oct 30, 2011 · Replies 17 · Nov 1, 2011

Replies: 17

Undergrad What is the best way to compare the size of complex values?

Pythagorean
Oct 30, 2011 · Replies 6 · Nov 1, 2011

Replies: 6

Undergrad Show by induction that (1-nu)(1+u)<=1 for n=0,1,2,3 and u>-1

gilabert1985
Oct 29, 2011 · Replies 1 · Oct 31, 2011

Replies: 1

Graduate Need a really advanced Calculus book

AdrianZ
Oct 31, 2011 · Replies 2 · Oct 31, 2011

Replies: 2

Undergrad New guy asking about Asymptotes of f(x)= x(lnx)

LearninDaMath
Oct 30, 2011 · Replies 3 · Oct 31, 2011

Replies: 3

Graduate Expressing a root of a cubic polynomial as a series

SeventhSigma
Oct 31, 2011 · Replies 8 · Oct 31, 2011

Replies: 8

Graduate Commuting derivative/Integral (not FTC or Leibniz)

nickthequick
Oct 27, 2011 · Replies 2 · Oct 31, 2011

Replies: 2

Graduate Solve Cycloid Question to Find Parameter 'a

brainpushups
Oct 30, 2011 · Replies 1 · Oct 31, 2011

Replies: 1

Graduate Determining eigenfunctions + arbritary value constant

JamesGoh
Oct 31, 2011 · Replies 1 · Oct 31, 2011

Replies: 1

Undergrad How can I improve my understanding of Calculus 1 by tackling tougher problems?

calcstudent1
Oct 31, 2011 · Replies 6 · Oct 31, 2011

Replies: 6

Graduate Constructing a smooth characteristic function

AxiomOfChoice
Oct 31, 2011 · Replies 1 · Oct 31, 2011

Replies: 1

Undergrad When Does This Equation Hold True?

Pacopag
Oct 31, 2011 · Replies 7 · Oct 31, 2011

Replies: 7

High School Is acceleration correlated with an instantaneous velocity?

gomer36
Oct 29, 2011 · Replies 8 · Oct 31, 2011

Replies: 8

Graduate Understanding the Expansion of Large Tan(x)

physlad
Oct 30, 2011 · Replies 2 · Oct 31, 2011

Replies: 2

Graduate Fractional calculus - uses, examples?

elegysix
Oct 30, 2011 · Replies 3 · Oct 31, 2011

Replies: 3

Graduate Unique nth Roots in the Reals - Rudin 1.21

gwsinger
Oct 25, 2011 · Replies 3 · Oct 31, 2011

Replies: 3

Undergrad Need Help with Hard Indefinite Integral

dapias09
Oct 30, 2011 · Replies 1 · Oct 31, 2011

Replies: 1

Graduate Are Limits, Integrals, & Series Equal?

romsofia
Oct 30, 2011 · Replies 2 · Oct 31, 2011

Replies: 2

Undergrad Convergence and Limit of Infinite Series with Exponential Terms

willworkforfood
Aug 28, 2005 · Replies 4 · Oct 30, 2011

Replies: 4

Graduate Abs Continuous Function w/ Unbounded Derivative on [a,b]

glacier302
Oct 28, 2011 · Replies 4 · Oct 30, 2011

Replies: 4

Undergrad When to assign a value to a multiple chain derivative?

Nano-Passion
Oct 30, 2011 · Replies 5 · Oct 30, 2011

Replies: 5

Undergrad Using sum difference derivative instead of prodict rule?

Nano-Passion
Oct 29, 2011 · Replies 3 · Oct 30, 2011

Replies: 3

Undergrad Proof l'hopital for infinity over infinity

georg gill
Oct 28, 2011 · Replies 4 · Oct 30, 2011

Replies: 4

Undergrad How did Euler come up with his famous formula?

Bassalisk
Oct 29, 2011 · Replies 7 · Oct 29, 2011

Replies: 7

Graduate From what theorem does this technique come from?

omoplata
Oct 29, 2011 · Replies 2 · Oct 29, 2011

Replies: 2

Undergrad Cartesian and Polar coordinate system increments

XYZ313
Oct 29, 2011 · Replies 8 · Oct 29, 2011

Replies: 8

Undergrad Divergence Theorem: Explaining in Simple Words

wasi-uz-zaman
Oct 29, 2011 · Replies 2 · Oct 29, 2011

Replies: 2

Graduate An Impossible Solution: Solving the Function Graphing Problem in Calculus Class

JPBenowitz
Oct 28, 2011 · Replies 9 · Oct 28, 2011

Replies: 9

Graduate Vectors and the Geometry of Space

tmlfan_17
Oct 27, 2011 · Replies 5 · Oct 28, 2011

Replies: 5

Undergrad Understanding the Relationship Between Surface & Line Integrals

wasi-uz-zaman
Oct 28, 2011 · Replies 2 · Oct 28, 2011

Replies: 2

Undergrad Measuring the Length of a Parabolic Path with Line Integral

wasi-uz-zaman
Oct 28, 2011 · Replies 3 · Oct 28, 2011

Replies: 3

Graduate What Is the General Formula for Q in Multivariable Calculus?

evilcman
Oct 28, 2011 · Replies 1 · Oct 28, 2011

Replies: 1

Graduate Question about derivative approximation through nested functions

Matt Benesi
Oct 26, 2011 · Replies 1 · Oct 28, 2011

Replies: 1

Graduate How to Simplify This Complex Integral Calculation?

kassem84
Oct 25, 2011 · Replies 8 · Oct 28, 2011

Replies: 8

Undergrad Can L'Hopital's Rule Be Used for Limits to Infinity?

Lucy Yeats
Oct 28, 2011 · Replies 2 · Oct 28, 2011

Replies: 2

Graduate Why subsitution method for integration always work ?

MIB
Oct 27, 2011 · Replies 1 · Oct 28, 2011

Replies: 1

Graduate What to read after Understanding Analysis

Mr.Miyagi
Oct 27, 2011 · Replies 2 · Oct 28, 2011

Replies: 2

Undergrad What Went Wrong in Evaluating the Limit Using L'Hospital's Rule?

SpockTock
Oct 27, 2011 · Replies 3 · Oct 27, 2011

Replies: 3

Undergrad Can Differentials and Errors be Split in Calculus?

KingBigness
Oct 26, 2011 · Replies 5 · Oct 27, 2011

Replies: 5

Undergrad Problem with supremum and infimum examples

thecaptain90
Oct 26, 2011 · Replies 2 · Oct 27, 2011

Replies: 2

Graduate Solving integral equation with double ingegrals and singularities

srabbaa66
Oct 27, 2011 · Replies 1 · Oct 27, 2011

Replies: 1

Graduate Trouble understanding the proof of fundamental theorem of algebra using

fleazo
Oct 26, 2011 · Replies 4 · Oct 26, 2011

Replies: 4

Graduate Vector differential identity proof

_jo_
Oct 23, 2011 · Replies 4 · Oct 26, 2011

Replies: 4

Graduate Why can't linear paths prove continuity in R^n?

MarlyK
Oct 23, 2011 · Replies 7 · Oct 26, 2011

Replies: 7

Graduate Maximum modulus principal for complex valued functions

fleazo
Oct 26, 2011 · Replies 1 · Oct 26, 2011

Replies: 1

Undergrad Checking solution to integration by parts with e

lonewolf219
Oct 26, 2011 · Replies 2 · Oct 26, 2011

Replies: 2

Undergrad Question about formula for natural log

Matt Benesi
Oct 26, 2011 · Replies 2 · Oct 26, 2011

Replies: 2

Graduate Is the Function Uniformly Convergent on (0,1]?

hmmmmm
Oct 24, 2011 · Replies 3 · Oct 26, 2011

Replies: 3

Undergrad How Can I Prove a Sequence Converges with a Specific Limit?

tamintl
Oct 24, 2011 · Replies 4 · Oct 26, 2011

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.

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