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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 How Does the Buckingham Pi Theorem Apply to Homogeneous Functions in Physics?

Cod
Jul 13, 2004 · Replies 6 · Aug 8, 2004

Replies: 6

Undergrad How to Solve the Integral of cot(x)/sin(x)?

Ornum
Jul 26, 2004 · Replies 7 · Aug 7, 2004

Replies: 7

Undergrad Solve Calculus Problem: Integrate √tan(x)

vincentchan
Jul 28, 2004 · Replies 5 · Aug 7, 2004

Replies: 5

Undergrad NEED HELP with power series PLEASE

Icedfire01
Aug 5, 2004 · Replies 4 · Aug 6, 2004

Replies: 4

Undergrad Why Dropping the Sqrt{1 + 1/x^4} dx Matters for Surface Area

woodysooner
Aug 4, 2004 · Replies 8 · Aug 6, 2004

Replies: 8

Undergrad Partial integration of gradient vector to find potential field

Gza
Aug 4, 2004 · Replies 7 · Aug 6, 2004

Replies: 7

High School Best way to lean Calculus on your own

SockCymbal
Jul 30, 2004 · Replies 2 · Aug 6, 2004

Replies: 2

Graduate Polynomial system, apparently for real champs

boeledi
May 27, 2004 · Replies 2 · Aug 5, 2004

Replies: 2

Undergrad U substitution for differentiation?

kurious
Aug 5, 2004 · Replies 2 · Aug 5, 2004

Replies: 2

Graduate Hints only please: compact iff bicompact

phoenixthoth
Aug 2, 2004 · Replies 10 · Aug 5, 2004

Replies: 10

Graduate Integral Calculation: Analytical Calc of k_0 W L J_0

kprokopi
Aug 3, 2004 · Replies 3 · Aug 5, 2004

Replies: 3

Undergrad Double integral with absolute value of x-y

Goalie_Ca
Aug 4, 2004 · Replies 2 · Aug 4, 2004

Replies: 2

Graduate Unraveling the Mystery: Solving ln(ln(ln(ln x+4))) = e with Expert Help

sunny86
Jul 29, 2004 · Replies 11 · Aug 4, 2004

Replies: 11

Graduate Proof That $\lim_{n \rightarrow \infty} \frac{n}{(n!)^\frac{1}{n}} = e$

JonF
Aug 2, 2004 · Replies 4 · Aug 3, 2004

Replies: 4

Graduate For all the smart Mathematicians

woodysooner
Aug 1, 2004 · Replies 16 · Aug 2, 2004

Replies: 16

Graduate Maximize Area of Triangle APB with Line y=mx+b Intersecting Parabola y=x^2

Moose352
Jul 30, 2004 · Replies 14 · Jul 31, 2004

Replies: 14

Is Calculus Still Relevant in Today's World?

PrudensOptimus
Jan 1, 2004 · Replies 2 · Jul 30, 2004

Replies: 2

High School Randomness of Computer & Calculator

darkar
Jul 28, 2004 · Replies 7 · Jul 30, 2004

Replies: 7

High School Understanding 2nd Derivative Max/Min Points

devious_
Jul 29, 2004 · Replies 5 · Jul 30, 2004

Replies: 5

Graduate How Does the Mapping w = 1/z Transform Regions in the Complex Plane?

Pyrokenesis
Apr 23, 2004 · Replies 2 · Jul 30, 2004

Replies: 2

High School How to Use Different Logarithm Bases on a TI-86?

gusty987
Jul 30, 2004 · Replies 2 · Jul 30, 2004

Replies: 2

Undergrad Optimize Positive Number Sum of Number & Reciprocal

rumaithya
Jul 28, 2004 · Replies 5 · Jul 29, 2004

Replies: 5

Undergrad How Do I Prove Continuity for f(x)=x^2 at x=3 and for f(x,y)=1/(xy)?

dcl
Jun 1, 2004 · Replies 18 · Jul 29, 2004

Replies: 18

Undergrad Optimizing the Sum of a Number and its Reciprocal in Calculus

aMo0oDi
Jul 29, 2004 · Replies 6 · Jul 29, 2004

Replies: 6

Graduate Is Stokes Theorem Easier Than It Seems?

mathwonk
Jul 23, 2004 · Replies 5 · Jul 29, 2004

Replies: 5

Undergrad Interpretation of integral as area?

Zorodius
Jul 28, 2004 · Replies 4 · Jul 28, 2004

Replies: 4

Graduate N-dimensional Tayor's Theorem and Dynamics

phoenixthoth
Jul 28, 2004 · Replies 12 · Jul 28, 2004

Replies: 12

Graduate Multivariable Calculus: Conceptual Question on Total Change in a Function

cepheid
Dec 12, 2003 · Replies 4 · Jul 28, 2004

Replies: 4

Undergrad Problem with a limit as infinity

rumaithya
Jul 27, 2004 · Replies 2 · Jul 28, 2004

Replies: 2

Undergrad Optimizing Chocolate Packaging with Equilateral Triangular Prisms

decibel
Jul 22, 2004 · Replies 3 · Jul 27, 2004

Replies: 3

Undergrad Quotient Rule - is this right or wrong?

singleton
Jul 27, 2004 · Replies 5 · Jul 27, 2004

Replies: 5

Undergrad Solve Problem With L'Hospital's Rule

Moose352
Jul 26, 2004 · Replies 3 · Jul 27, 2004

Replies: 3

Graduate Help Needed: Solving Stroke's Theorem Problem w/ z Surface

Phymath
Jul 26, 2004 · Replies 2 · Jul 26, 2004

Replies: 2

Graduate Evaluating a Vector Field Through a Surface with the Divergence Theorem

Phymath
Jul 25, 2004 · Replies 4 · Jul 26, 2004

Replies: 4

High School Best Introduction to Calculus Book

Mark
May 28, 2004 · Replies 39 · Jul 25, 2004

2

Replies: 39

Undergrad Proving Limit Existence: Squeeze Theorem

mathrocks
Jun 16, 2004 · Replies 16 · Jul 25, 2004

Replies: 16

Graduate Divergence and Stoke's Theorems in 2D

speeding electron
Jul 17, 2004 · Replies 7 · Jul 24, 2004

Replies: 7

Graduate What's the area of this volume?

Jin314159
Jul 24, 2004 · Replies 1 · Jul 24, 2004

Replies: 1

Undergrad Rationale behind seperation and integration

Gza
Jun 2, 2004 · Replies 19 · Jul 24, 2004

Replies: 19

Graduate Help me prove that functions u and v must be constant in D

Ed Quanta
Jun 13, 2004 · Replies 2 · Jul 24, 2004

Replies: 2

Graduate How can I find the value of this difficult sum using lagrange interpolation?

Pattielli
Jun 30, 2004 · Replies 5 · Jul 24, 2004

Replies: 5

Graduate How Do You Solve These Multivariable Calculus Problems Related to a Helix?

pezzang
Oct 22, 2003 · Replies 3 · Jul 24, 2004

Replies: 3

Undergrad Introduction to Complex Analysis

josephcollins
Jun 12, 2004 · Replies 12 · Jul 23, 2004

Replies: 12

Undergrad Calculating the Limit of (1+1/n)^n as n Approaches Infinity

Matt Jacques
Feb 24, 2004 · Replies 3 · Jul 23, 2004

Replies: 3

Undergrad Can Calculus Prove I Will Reach the End of a Room If I Start Walking?

wunderkind
Dec 13, 2003 · Replies 4 · Jul 23, 2004

Replies: 4

Undergrad How to Find the Equation of a Plane at a 60 Degree Angle?

jherasjr
Dec 17, 2003 · Replies 2 · Jul 23, 2004

Replies: 2

High School Can someone tell me the essence of derivative?

franz32
Jan 28, 2004 · Replies 10 · Jul 23, 2004

Replies: 10

Graduate How can images dimention be larger than the domains?

vadik
May 21, 2004 · Replies 4 · Jul 23, 2004

Replies: 4

Undergrad Vector Valued Function vs Vector Field

Gza
Jun 9, 2004 · Replies 3 · Jul 23, 2004

Replies: 3

Undergrad What Are Good Online Resources for Learning Vector Calculus?

galipop
May 15, 2004 · Replies 20 · Jul 23, 2004

Replies: 20

Undergrad How Do You Determine the Least Upper Bounds of N and P in Repeating Decimals?

Ed Quanta
Apr 28, 2004 · Replies 3 · Jul 23, 2004

Replies: 3

Undergrad Understanding Divergence and Curl on a 3D Surface

Phymath
Jul 22, 2004 · Replies 4 · Jul 23, 2004

Replies: 4

Graduate Why Apply Analytic Continuation in Complex Analysis?

cragwolf
Mar 16, 2004 · Replies 3 · Jul 23, 2004

Replies: 3

Undergrad Why are differentials used in math?

ShawnD
Apr 5, 2004 · Replies 10 · Jul 23, 2004

Replies: 10

Undergrad Calculating Volume by Cross-Sections: A Riemann Sums Approach

reconmaster
Apr 17, 2004 · Replies 5 · Jul 23, 2004

Replies: 5

Graduate Can you prove the Complex Polynomial Theorem?

Ed Quanta
May 5, 2004 · Replies 5 · Jul 23, 2004

Replies: 5

Undergrad What is the Antiderivative of Sqrt(1-x^2)?

Tiiba
Jul 23, 2004 · Replies 7 · Jul 23, 2004

Replies: 7

Undergrad How Do You Derive y=2^x Using the Definition of Derivative?

hackensack
May 19, 2004 · Replies 18 · Jul 23, 2004

Replies: 18

Graduate How to Maximize ln x + ln y + 3 ln z on a Sphere Using Lagrange Multipliers?

Theelectricchild
Jul 11, 2004 · Replies 10 · Jul 23, 2004

Replies: 10

Undergrad Please recommend an honors calc book

mathwonk
Jul 22, 2004 · Replies 2 · Jul 23, 2004

Replies: 2

Undergrad Understanding Line Integrals in 3D Space

Phymath
Jul 22, 2004 · Replies 3 · Jul 23, 2004

Replies: 3

Undergrad Advice on Advanced Calculus Textbooks for Independent Study

Rainman
Sep 17, 2003 · Replies 8 · Jul 23, 2004

Replies: 8

Graduate How can we effectively introduce logarithms?

arcnets
Sep 29, 2003 · Replies 11 · Jul 23, 2004

Replies: 11

Graduate Can Limits Determine Specific Values in Complex Mathematical Functions?

Brad_Ad23
Oct 6, 2003 · Replies 2 · Jul 23, 2004

Replies: 2

Undergrad Beating Calc 2: Can I Survive the Next Semester?

QuantumDefect
May 19, 2004 · Replies 18 · Jul 23, 2004

Replies: 18

Graduate What is the Laplace Transform of a Gaussian Distribution?

stefanfuglsang
Jun 25, 2004 · Replies 6 · Jul 23, 2004

Replies: 6

Undergrad Why does the gradient point in the direction of greatest change?

Gza
Jun 8, 2004 · Replies 16 · Jul 22, 2004

Replies: 16

Graduate Rudin vs Lang: Which is the Thorough More Rigorous Analysis Book?

mruncleramos
Jun 15, 2004 · Replies 2 · Jul 22, 2004

Replies: 2

Undergrad Instantaneous Rate Word Problems

leibnitz2001
Jul 21, 2004 · Replies 2 · Jul 22, 2004

Replies: 2

Undergrad What is the Limit of the abc-Formula as a approaches 0?

suyver
Jul 20, 2004 · Replies 5 · Jul 22, 2004

Replies: 5

Undergrad Solving Definite Integral Problem: Average Velocity of Ball Dropped from Rest

quarky
Jul 8, 2004 · Replies 3 · Jul 22, 2004

Replies: 3

Undergrad Max Value of f(x) for Positive x

zero_eclipse
Jul 21, 2004 · Replies 2 · Jul 22, 2004

Replies: 2

Undergrad Solving for Theta: Help With a Ballistics Equation

VantagePoint72
Jul 19, 2004 · Replies 3 · Jul 19, 2004

Replies: 3

Undergrad Calc Help: Moving Particle from Origin & Integral of 5^ radical x

parwana
Jul 14, 2004 · Replies 5 · Jul 18, 2004

Replies: 5

Undergrad Optimizing Integration: Sketching vs. Graphing for Type I, II, and III Problems

mathrocks
Jun 27, 2004 · Replies 4 · Jul 18, 2004

Replies: 4

Undergrad What is the 50th derivative of F(x)=Cos(2x)?

Alem2000
Jul 7, 2004 · Replies 4 · Jul 17, 2004

Replies: 4

Undergrad L'Hopital's rule graph problem

Moose352
Jul 15, 2004 · Replies 19 · Jul 16, 2004

Replies: 19

Undergrad Newton-Raphson method for y=1/f(x)

Peter_F
Jul 15, 2004 · Replies 2 · Jul 16, 2004

Replies: 2

Undergrad How Can the Woman Reach the Opposite Side of the Lake Most Quickly?

chee
Jul 14, 2004 · Replies 2 · Jul 15, 2004

Replies: 2

Graduate What is the equation of a plane parallel to a line and a point not on that line?

StonedPanda
Jul 8, 2004 · Replies 8 · Jul 13, 2004

Replies: 8

Undergrad Calculus IV: Calculating Mass, 2nd Moment & Radius of Gyration for Doughnut Yoyo

kylemadigan
Jul 8, 2004 · Replies 2 · Jul 13, 2004

Replies: 2

Undergrad What is the derivative of 4x(16-x^2)^0.5?

Tiiba
Jul 12, 2004 · Replies 6 · Jul 12, 2004

Replies: 6

High School A Simple yet complicated question.

Poweranimals
Jul 11, 2004 · Replies 7 · Jul 11, 2004

Replies: 7

Undergrad Integrate exp(-x^2), dx

Nimrod
Jun 14, 2004 · Replies 8 · Jul 9, 2004

Replies: 8

Undergrad How to Integrate 1/(1+2x+x^2) dx Without Getting Stumped

FUNKER
Jul 8, 2004 · Replies 4 · Jul 9, 2004

Replies: 4

Undergrad Solving Various Calc Test Questions - Get Answers Here

JonF
Jul 6, 2004 · Replies 10 · Jul 7, 2004

Replies: 10

Undergrad Finding a limit through algebra

chee
Jun 24, 2004 · Replies 14 · Jul 7, 2004

Replies: 14

High School Can you give me the formula for calculating its

Vance
May 14, 2004 · Replies 4 · Jul 7, 2004

Replies: 4

Undergrad Having difficulty setting up a Diff Eq for this situation

Theelectricchild
Jul 6, 2004 · Replies 6 · Jul 7, 2004

Replies: 6

Graduate Simultaneous Differential Equations

Dburghoff
Jun 29, 2004 · Replies 3 · Jul 3, 2004

Replies: 3

Undergrad Fitting a Sine Curve to Two Points

Alterscape
Jun 29, 2004 · Replies 5 · Jul 3, 2004

Replies: 5

Undergrad Finding Points of Intersection and Proving Parallelism with Vectors

StonedPanda
Jun 29, 2004 · Replies 9 · Jul 1, 2004

Replies: 9

Undergrad How Do You Integrate \(\sin(\sqrt{x})\) with Trig Substitution?

JonF
Jun 26, 2004 · Replies 10 · Jun 30, 2004

Replies: 10

Undergrad Finding Fourier Series for f(x)=2x+e^x-e^-x (-1< x >1)

bhajee
Jun 28, 2004 · Replies 4 · Jun 29, 2004

Replies: 4

Graduate Help me derive Lagrange's Trigonometric Identity

Ed Quanta
Jun 29, 2004 · Replies 1 · Jun 29, 2004

Replies: 1

Undergrad How Do You Solve These Related Rates and Optimization Problems?

recon9
Jun 20, 2004 · Replies 2 · Jun 27, 2004

Replies: 2

Graduate Proof of Limit: |Rez - Rez0|<E Whenever 0<|z-z0|<D

Ed Quanta
Jun 26, 2004 · Replies 2 · Jun 27, 2004

Replies: 2

Poll

Graduate (Spivak) - a function with strange behaviour.

kioria
Apr 12, 2004 · Replies 11 · Jun 25, 2004

Replies: 11

Undergrad Quotient rule for derivatives (algebraic division help?)

sporff
Jun 24, 2004 · Replies 3 · Jun 25, 2004

Replies: 3

High School Questions About Intervals in Calculus for 14 Year Olds

Ygmaince241
Jun 23, 2004 · Replies 5 · Jun 24, 2004

Replies: 5

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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