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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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Graduate Rational Functions: Max Roots & Poles

quasar987
Feb 26, 2006 · Replies 14 · Feb 27, 2006

Replies: 14

Graduate Can a Continuous Function Map Reals to Rationals?

JasonRox
Feb 16, 2006 · Replies 35 · Feb 26, 2006

2

Replies: 35

Undergrad Improper integral of 1/x from –1 to 1

robert spicuzza
Feb 25, 2006 · Replies 5 · Feb 26, 2006

Replies: 5

Graduate Proving A_n(r) with Integer Coeff Polynomials: Q&A

physicsRookie
Feb 25, 2006 · Replies 1 · Feb 25, 2006

Replies: 1

High School Calculating the First Derivative

bill nye scienceguy!
Feb 25, 2006 · Replies 2 · Feb 25, 2006

Replies: 2

Where Was the Mathematician Offering Riemann-Roch Theorem Lessons for Food?

mathwonk
Feb 24, 2006 · Replies 1 · Feb 25, 2006

Replies: 1

Undergrad How can I find the minimum value for the sum of absolute values?

Jorge
Feb 23, 2006 · Replies 3 · Feb 23, 2006

Replies: 3

High School Integral of 2/(Y+1) - Solution without Calculator

Whitebread
Feb 23, 2006 · Replies 4 · Feb 23, 2006

Replies: 4

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

chroot
Feb 21, 2006 · Replies 5 · Feb 22, 2006

Replies: 5

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

Castilla
Feb 14, 2006 · Replies 2 · Feb 20, 2006

Replies: 2

Undergrad End Model Behaviors: Disagreement Between Teacher & Student

KingNothing
Feb 19, 2006 · Replies 7 · Feb 19, 2006

Replies: 7

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

cliowa
Feb 19, 2006 · Replies 7 · Feb 19, 2006

Replies: 7

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

heaven eye
Feb 1, 2006 · Replies 3 · Feb 19, 2006

Replies: 3

Graduate Finding Connected Sets in a Rectangle

HallsofIvy
Feb 7, 2006 · Replies 7 · Feb 17, 2006

Replies: 7

Graduate Can smooth and analytic be used interchangeably?

dextercioby
Feb 17, 2006 · Replies 3 · Feb 17, 2006

Replies: 3

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

C0nfused
Feb 14, 2006 · Replies 9 · Feb 17, 2006

Replies: 9

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

JasonRox
Feb 15, 2006 · Replies 7 · Feb 16, 2006

Replies: 7

Undergrad Finding Tangent Lines for Parabolas: A Mathematical Approach

Menos
Feb 15, 2006 · Replies 8 · Feb 15, 2006

Replies: 8

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

jetoso
Feb 10, 2006 · Replies 5 · Feb 13, 2006

Replies: 5

Undergrad Improving Your Analysis Skills: Tips and Resources for Self-Study

Pseudo Statistic
Feb 9, 2006 · Replies 9 · Feb 10, 2006

Replies: 9

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

G01
Feb 6, 2006 · Replies 3 · Feb 6, 2006

Replies: 3

Graduate Ways of learning Lebesgue integration

Castilla
Jan 31, 2006 · Replies 2 · Feb 6, 2006

Replies: 2

Undergrad Differentiability VS derivability

quasar987
Feb 4, 2006 · Replies 7 · Feb 5, 2006

Replies: 7

Graduate Partial Differential Equations - Variable Seperable Solutions

TZW85
Feb 3, 2006 · Replies 2 · Feb 3, 2006

Replies: 2

Graduate Continuous Function for this please

TheDestroyer
Feb 1, 2006 · Replies 3 · Feb 2, 2006

Replies: 3

Undergrad Integration/Double Integrals Advice Required

Nima
Jan 30, 2006 · Replies 5 · Feb 1, 2006

Replies: 5

Graduate Uniform Convergence - Questions Answered

T-O7
Jan 28, 2006 · Replies 4 · Jan 31, 2006

Replies: 4

Undergrad Double Integrals Advice - Please

Nima
Jan 30, 2006 · Replies 4 · Jan 30, 2006

Replies: 4

Undergrad Definition of the Definite Integral

Soaring Crane
Jan 24, 2006 · Replies 7 · Jan 28, 2006

Replies: 7

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

rachmaninoff
Jan 26, 2006 · Replies 1 · Jan 27, 2006

Replies: 1

Graduate Find the result of this integration

Ali 2
Jan 7, 2006 · Replies 8 · Jan 25, 2006

Replies: 8

Graduate Integrands that vanish everywhere

StatusX
Jan 24, 2006 · Replies 1 · Jan 24, 2006

Replies: 1

Graduate Integrating x*ln^2(ax)*exp(-bx^2+cx) | Help Needed

ari_a
Jan 24, 2006 · Replies 3 · Jan 24, 2006

Replies: 3

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

BlakeJA
Jan 24, 2006 · Replies 1 · Jan 24, 2006

Replies: 1

Undergrad Does 0.999~ Equal 1?

QuantumTheory
Jan 9, 2006 · Replies 86 · Jan 24, 2006

3

Replies: 86

Undergrad How to Calculate the Average Value of a Sinusoid Over a Given Interval?

perryben
Jan 22, 2006 · Replies 3 · Jan 23, 2006

Replies: 3

Undergrad Can a Periodic Function and Gamma Function Solve a Functional Equation?

Orion1
Jan 15, 2006 · Replies 51 · Jan 23, 2006

2

Replies: 51

Undergrad Using Linear Algebra to solve systems of non-linear equations

Edwin
Jan 12, 2006 · Replies 9 · Jan 19, 2006

Replies: 9

Undergrad Triangle ineuality, in need for help.

MathematicalPhysicist
Jan 12, 2006 · Replies 11 · Jan 18, 2006

Replies: 11

Graduate Integrate Fun Math Challenges for New Year's Celebration

samalkhaiat
Dec 29, 2005 · Replies 37 · Jan 17, 2006

2

Replies: 37

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

Pearce_09
Jan 17, 2006 · Replies 4 · Jan 17, 2006

Replies: 4

Undergrad Integral of derivative inconsistent

dc20
Jan 15, 2006 · Replies 6 · Jan 16, 2006

Replies: 6

Graduate Are Delta and Epsilon Formulas Universally Applicable for Polynomial Limits?

Orion1
Jan 11, 2006 · Replies 10 · Jan 15, 2006

Replies: 10

Undergrad Can You Calculate Time Change Over 40 Centuries?

AMD ZEN
Jan 13, 2006 · Replies 5 · Jan 15, 2006

Replies: 5

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

apchemstudent
Jan 8, 2006 · Replies 12 · Jan 14, 2006

Replies: 12

Undergrad Assume that f is non-negative on (0,1)

mansi
Jan 14, 2006 · Replies 1 · Jan 14, 2006

Replies: 1

Graduate Bisecting indefinitely a real interval

Castilla
Jan 13, 2006 · Replies 7 · Jan 13, 2006

Replies: 7

Graduate Equality holds in Minkowski's Inequality when

benorin
Jan 11, 2006 · Replies 2 · Jan 12, 2006

Replies: 2

Undergrad Which math software is recommended for advanced math classes?

Nothing000
Jan 7, 2006 · Replies 19 · Jan 11, 2006

Replies: 19

Undergrad How to Solve a Transformation Problem for Variables a and b?

LakeMountD
Jan 10, 2006 · Replies 1 · Jan 10, 2006

Replies: 1

Undergrad Review in calc I to prepare for calc II

ranger
Jan 9, 2006 · Replies 4 · Jan 10, 2006

Replies: 4

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

Orion1
Jan 5, 2006 · Replies 15 · Jan 9, 2006

Replies: 15

Graduate Help with Vector Calculus Formula

niehls
Jan 8, 2006 · Replies 3 · Jan 8, 2006

Replies: 3

Graduate Nonempty Convex Sets: Proving Closure

kaosAD
Dec 31, 2005 · Replies 10 · Jan 6, 2006

Replies: 10

Undergrad Is the Polynomial Limit Theorem Accurate and Comprehensive?

Orion1
Jan 5, 2006 · Replies 2 · Jan 6, 2006

Replies: 2

High School Integration has to do with a square shape

dervast
Jan 5, 2006 · Replies 4 · Jan 6, 2006

Replies: 4

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

eljose
Nov 29, 2005 · Replies 2 · Jan 5, 2006

Replies: 2

Undergrad Exponential word problem (i think)

Jacobpm64
Jan 2, 2006 · Replies 9 · Jan 2, 2006

Replies: 9

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

Castilla
Dec 31, 2005 · Replies 4 · Dec 31, 2005

Replies: 4

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

force
Dec 28, 2005 · Replies 10 · Dec 30, 2005

Replies: 10

Graduate Low Semicontinuity: Understanding Liminf & Diagrams

kaosAD
Dec 14, 2005 · Replies 10 · Dec 29, 2005

Replies: 10

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

sparkster
Dec 29, 2005 · Replies 3 · Dec 29, 2005

Replies: 3

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

Repetit
Dec 28, 2005 · Replies 3 · Dec 28, 2005

Replies: 3

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

eljose
Dec 23, 2005 · Replies 2 · Dec 28, 2005

Replies: 2

Graduate Cable System Step Function Analysis

Cyrus
Dec 27, 2005 · Replies 7 · Dec 28, 2005

Replies: 7

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

benorin
Dec 25, 2005 · Replies 6 · Dec 27, 2005

Replies: 6

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

eljose
Dec 27, 2005 · Replies 3 · Dec 27, 2005

Replies: 3

Graduate Is this the Correct Solution for Functional Differential Equations?

eljose
Nov 26, 2005 · Replies 3 · Dec 27, 2005

Replies: 3

Undergrad Simplify Equation for T Cosine and Delta X: Step by Step Guide

Cyrus
Dec 24, 2005 · Replies 15 · Dec 26, 2005

Replies: 15

Graduate Integrating to Find Perimeter of Semi-Circle/Circle Using x(t) & y(t)

Alkatran
Dec 25, 2005 · Replies 3 · Dec 25, 2005

Replies: 3

Graduate How Does Renormalization Address Divergences in Integrals?

eljose
Dec 13, 2005 · Replies 1 · Dec 25, 2005

Replies: 1

Undergrad Limit with n tending to infinity

eljose
Dec 24, 2005 · Replies 4 · Dec 25, 2005

Replies: 4

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

ISUPHYSICS
Dec 23, 2005 · Replies 1 · Dec 23, 2005

Replies: 1

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

roger
Nov 23, 2005 · Replies 30 · Dec 22, 2005

2

Replies: 30

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

roger
Dec 19, 2005 · Replies 12 · Dec 22, 2005

Replies: 12

Graduate Partial Fractions: Finding Antiderivatives of Rational Functions

StatusX
Dec 12, 2005 · Replies 8 · Dec 21, 2005

Replies: 8

Graduate Solving Quantum Mechanics Integrals: Prove This One

maverick6664
Dec 20, 2005 · Replies 4 · Dec 21, 2005

Replies: 4

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

bomba923
Dec 20, 2005 · Replies 3 · Dec 20, 2005

Replies: 3

Graduate Do These Mathematical Series Converge?

bomba923
Dec 20, 2005 · Replies 1 · Dec 20, 2005

Replies: 1

Graduate How Can Dirichlet Integrals Be Generalized Using Special Functions?

benorin
Nov 16, 2005 · Replies 12 · Dec 20, 2005

Replies: 12

Undergrad Double integrals and center of mass

Jameson
Dec 17, 2005 · Replies 8 · Dec 19, 2005

Replies: 8

Graduate Complex Analysis: Defining Complex Volume & Sphere w/ Winding Number

Jonny_trigonometry
Dec 19, 2005 · Replies 11 · Dec 19, 2005

Replies: 11

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

MrBailey
Dec 3, 2005 · Replies 4 · Dec 18, 2005

Replies: 4

Graduate Validating Originality in Mathematical Proofs for Researchers

Jimmy Snyder
Mar 11, 2005 · Replies 41 · Dec 18, 2005

2

Replies: 41

Undergrad Some basic derivative-integral issues

Robokapp
Dec 14, 2005 · Replies 7 · Dec 16, 2005

Replies: 7

High School What Does the Derivative Notation in Calculus Represent?

Line
Dec 13, 2005 · Replies 25 · Dec 16, 2005

Replies: 25

Graduate Is a measure space necessary for integration?

NateTG
Dec 15, 2005 · Replies 2 · Dec 15, 2005

Replies: 2

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

Treadstone 71
Dec 13, 2005 · Replies 8 · Dec 14, 2005

Replies: 8

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

incognitO
Dec 12, 2005 · Replies 3 · Dec 13, 2005

Replies: 3

High School Exponential equation vs Logarithmic

navneet
Dec 12, 2005 · Replies 5 · Dec 13, 2005

Replies: 5

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

eljose
Dec 11, 2005 · Replies 3 · Dec 12, 2005

Replies: 3

Graduate Understanding the Proof of the Jacobian

leospyder
Dec 10, 2005 · Replies 3 · Dec 11, 2005

Replies: 3

Undergrad Determine when f is differentiable

SomeRandomGuy
Dec 9, 2005 · Replies 12 · Dec 10, 2005

Replies: 12

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

SuperG
Dec 8, 2005 · Replies 9 · Dec 9, 2005

Replies: 9

Graduate Can Lagrange Multipliers solve optimization problems with multiple constraints?

lynxman72
Dec 8, 2005 · Replies 7 · Dec 9, 2005

Replies: 7

Undergrad Isoperimetric Theorem what does it mean

ultrabionic_ang
Dec 8, 2005 · Replies 2 · Dec 9, 2005

Replies: 2

Graduate Infinite Series: rearrangement of Terms

MrBailey
Dec 8, 2005 · Replies 3 · Dec 8, 2005

Replies: 3

Graduate Is Phi a Valid Counterexample? Examining the Limits of Integration

DeadWolfe
Dec 7, 2005 · Replies 8 · Dec 8, 2005

Replies: 8

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

eljose
Dec 7, 2005 · Replies 2 · Dec 7, 2005

Replies: 2

Graduate Complex Fourier Transform & Its Inverse (also Dcontour integrals)

MathematicalPhysics
Dec 6, 2005 · Replies 2 · Dec 7, 2005

Replies: 2

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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