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

Graduate Understanding Integration by Parts: A Quick Guide for Beginners

Ratzinger
Dec 7, 2005 · Replies 2 · Dec 7, 2005

Replies: 2

Undergrad Why can the dx in an integral be treated as a differential?

G01
Dec 6, 2005 · Replies 3 · Dec 6, 2005

Replies: 3

Undergrad Computer Programs & Systems for Calculating Cosine Values for Large Numbers

Edwin
Dec 4, 2005 · Replies 4 · Dec 6, 2005

Replies: 4

Undergrad Proving the Derivative of x^n: A Recursive Approach

Werg22
Dec 1, 2005 · Replies 8 · Dec 6, 2005

Replies: 8

Undergrad What's the Difference Between Epsilon-Delta and Epsilon-N Definitions?

j@zz!
Dec 4, 2005 · Replies 5 · Dec 4, 2005

Replies: 5

Undergrad How do you solve for the intersection of a line and a cosine function?

Edwin
Dec 1, 2005 · Replies 6 · Dec 3, 2005

Replies: 6

Undergrad Is there a constant value for b in b^x (ln b) = a^x for any x?

Werg22
Dec 2, 2005 · Replies 7 · Dec 3, 2005

Replies: 7

Undergrad Understanding Turing Machines & Language Recognition

physicsuser
Dec 2, 2005 · Replies 5 · Dec 3, 2005

Replies: 5

Graduate How to Prove the Continuity of a Derivative?

Treadstone 71
Nov 28, 2005 · Replies 11 · Dec 2, 2005

Replies: 11

Graduate Extending Lebesgues Measure: Is it Possible?

Palindrom
Nov 28, 2005 · Replies 15 · Dec 1, 2005

Replies: 15

Undergrad Surface Area and Volume Relationships?

johnw188
Nov 27, 2005 · Replies 5 · Nov 30, 2005

Replies: 5

Undergrad Demonstrating Limit Equalities for x→0

Werg22
Nov 29, 2005 · Replies 6 · Nov 29, 2005

Replies: 6

Graduate How Do You Evaluate a Double Integral Over a Helicoid Surface?

weckod
Nov 28, 2005 · Replies 1 · Nov 29, 2005

Replies: 1

Graduate How to Prove Pedoe's Inequality for Two Triangles?

maverick280857
May 17, 2005 · Replies 8 · Nov 28, 2005

Replies: 8

Graduate Set of p-adic integers is homeomorphic to Cantor set; how?

benorin
Nov 27, 2005 · Replies 1 · Nov 27, 2005

Replies: 1

Graduate Integrating Sin(1/z) and Z Sin (1/Z^3) Over C (Circle of Radius 1)

fahd
Nov 24, 2005 · Replies 3 · Nov 27, 2005

Replies: 3

Graduate Can Anyone Help Solve This Complex Integral Equality?

kaosAD
Nov 25, 2005 · Replies 5 · Nov 27, 2005

Replies: 5

Graduate Proof of Exp(x)*Exp(y)=Exp(x+y) - Help Appreciated!

cliowa
Nov 24, 2005 · Replies 4 · Nov 25, 2005

Replies: 4

Graduate Does This Infinite Series Converge to 1/(ln2√2)?

NewScientist
Nov 24, 2005 · Replies 28 · Nov 25, 2005

Replies: 28

Undergrad Parametric Derivative Derivation

courtrigrad
Nov 20, 2005 · Replies 7 · Nov 25, 2005

Replies: 7

Graduate Minimal Function: Arc-Length c & Calc of Variations

John_Doe
Nov 23, 2005 · Replies 16 · Nov 25, 2005

Replies: 16

Graduate The Fundamental Theorem of Calculus

dx
Nov 24, 2005 · Replies 7 · Nov 24, 2005

Replies: 7

Graduate Implicit and inverse function theorem

calvino
Nov 22, 2005 · Replies 3 · Nov 24, 2005

Replies: 3

Graduate Confused about Applying Fubini's Theorem to a Double Integral?

Bernoulli
Nov 24, 2005 · Replies 3 · Nov 24, 2005

Replies: 3

Graduate Covariant Derivative: A^μₛᵦ Definition & Use

John_Doe
Nov 22, 2005 · Replies 31 · Nov 23, 2005

2

Replies: 31

Undergrad Good problem but uncertain WHY

Robokapp
Nov 22, 2005 · Replies 4 · Nov 23, 2005

Replies: 4

Graduate Solving a Complex Equation Using Binomial Formula with Cosine and Sine Functions

Bob19
Nov 23, 2005 · Replies 15 · Nov 23, 2005

Replies: 15

Undergrad Using De Moivre Formula to Prove z^n = 1 is a Root of Unity

Bob19
Nov 22, 2005 · Replies 3 · Nov 23, 2005

Replies: 3

Graduate Want to learn more about Delta Function and Generalized Function

chingkui
Nov 22, 2005 · Replies 3 · Nov 23, 2005

Replies: 3

Undergrad How to Simplify the Derivative of sqrt(x/y) + sqrt(y/x)?

yourmom98
Nov 22, 2005 · Replies 3 · Nov 22, 2005

Replies: 3

Need chemistry and calculus gift ideas =)

end3r7
Nov 21, 2005 · Replies 8 · Nov 22, 2005

Replies: 8

Undergrad Convergent or Divergent? Alternating Series Help for Tomorrow's Test

SigurRos
Nov 21, 2005 · Replies 4 · Nov 22, 2005

Replies: 4

Undergrad Series and Sequence Help: Convergence and Limits with r = 11/22

JessicaSTAR
Nov 21, 2005 · Replies 3 · Nov 22, 2005

Replies: 3

Graduate How do I find the derivatives of f and g?

ice_cream_cone
Nov 21, 2005 · Replies 1 · Nov 21, 2005

Replies: 1

Undergrad Alternating Series Help: Convergence of (-1)^(n-1) * (2n+1)/(n+2)

SigurRos
Nov 21, 2005 · Replies 2 · Nov 21, 2005

Replies: 2

Undergrad Convergence of Series: Find the Value | Online Databases

Eismc[]
Nov 21, 2005 · Replies 1 · Nov 21, 2005

Replies: 1

Graduate Is the order of partial differentiation always immaterial for mixed derivatives?

Diophantus
Nov 21, 2005 · Replies 3 · Nov 21, 2005

Replies: 3

Undergrad Finding dy/dx: e^2x = sin(x+3y)?

lostintranslation
Nov 20, 2005 · Replies 13 · Nov 21, 2005

Replies: 13

Undergrad How High Should the Light Be for Optimal Illumination at Point P?

maseratigt89
Nov 20, 2005 · Replies 3 · Nov 21, 2005

Replies: 3

High School Help Needed: Finding Segment AB of Line Through (2,2)

dsb_101
Nov 20, 2005 · Replies 1 · Nov 20, 2005

Replies: 1

Undergrad Solving for dY/d? and Finding the Rate of Change of a Kite's Height

skivail
Nov 19, 2005 · Replies 2 · Nov 20, 2005

Replies: 2

Graduate Prove Squeezing Theorem for n Natural Numbers

hypermonkey2
Nov 12, 2005 · Replies 18 · Nov 19, 2005

Replies: 18

Undergrad Calculating the Length of a Function

daniel_i_l
Nov 18, 2005 · Replies 4 · Nov 19, 2005

Replies: 4

Graduate Solving System of Equations for t and b

Edwin
Nov 16, 2005 · Replies 6 · Nov 17, 2005

Replies: 6

Graduate Count the number of integer solutions

benorin
Nov 17, 2005 · Replies 1 · Nov 17, 2005

Replies: 1

Undergrad Is There a Simple Quantitative Technique for Projecting Values in a Series?

AA Institute
Nov 17, 2005 · Replies 2 · Nov 17, 2005

Replies: 2

Graduate Time ball needs for a certain path/courve

hriby
Nov 16, 2005 · Replies 4 · Nov 17, 2005

Replies: 4

Undergrad How Did Mathematicians Discover the Value of Pi?

vaishakh
Nov 10, 2005 · Replies 18 · Nov 16, 2005

Replies: 18

Undergrad Can a Function be Differentiable Without Being Continuous?

Treadstone 71
Nov 14, 2005 · Replies 16 · Nov 16, 2005

Replies: 16

Graduate Are These Negations of Limits and Continuity Correct?

Treadstone 71
Nov 16, 2005 · Replies 2 · Nov 16, 2005

Replies: 2

Graduate Anyone know any more sums like these?

benorin
Oct 28, 2005 · Replies 4 · Nov 15, 2005

Replies: 4

Graduate Where does the pi come from in the sum of inverse squares?

johnw188
Nov 15, 2005 · Replies 2 · Nov 15, 2005

Replies: 2

Undergrad How to Write Words Using Parametric Equations?

Leonidas
Nov 13, 2005 · Replies 2 · Nov 14, 2005

Replies: 2

Graduate C^infty on U: Question & Counter Example

Palindrom
Nov 13, 2005 · Replies 2 · Nov 13, 2005

Replies: 2

Graduate Is the Volume Calculation for the Bounded Solid Correct?

Bob19
Nov 9, 2005 · Replies 1 · Nov 12, 2005

Replies: 1

Graduate Looking for the equations of hypertori

benorin
Nov 11, 2005 · Replies 1 · Nov 11, 2005

Replies: 1

Graduate A Geometric Product (a series of exercises for the curious)

benorin
Nov 5, 2005 · Replies 7 · Nov 11, 2005

Replies: 7

Graduate Does the Fourier Transform of Ln\zeta(2e^{-s}) Exist?

eljose
Nov 10, 2005 · Replies 1 · Nov 10, 2005

Replies: 1

Graduate Purely imaginary complex contour

saltydog
Nov 8, 2005 · Replies 3 · Nov 9, 2005

Replies: 3

Undergrad Can you help find the correct equation for a changing graph with this data?

Gelsamel Epsilon
Nov 3, 2005 · Replies 2 · Nov 7, 2005

Replies: 2

Graduate Solve Integral: x^(1/x) to Power of x^(1/x)

latyph
Nov 6, 2005 · Replies 5 · Nov 7, 2005

Replies: 5

Graduate Bernoulli formula for integrals

eljose
Nov 7, 2005 · Replies 1 · Nov 7, 2005

Replies: 1

Undergrad What Are the Differences Between Newton and Leibniz Calculus?

JEscribir
Nov 2, 2005 · Replies 4 · Nov 5, 2005

Replies: 4

Graduate Surface Volume in 4-d graph: Euclidean Geometry Question

Edwin
Oct 30, 2005 · Replies 4 · Nov 3, 2005

Replies: 4

Graduate Polynomial Function Definition Question

Quadratic
Nov 2, 2005 · Replies 1 · Nov 2, 2005

Replies: 1

Undergrad Infinite 45 degree golden ratio thingy series related

ebola_virus
Nov 1, 2005 · Replies 4 · Nov 1, 2005

Replies: 4

High School Finding Minimum from a completion of a square

laker_gurl3
Oct 31, 2005 · Replies 51 · Nov 1, 2005

2

Replies: 51

Graduate Calculating the Integration of Error Function

abdo375
Oct 27, 2005 · Replies 7 · Oct 31, 2005

Replies: 7

High School When should the Chain Rule be applied for finding derivatives?

Dustnite
Oct 30, 2005 · Replies 3 · Oct 30, 2005

Replies: 3

Graduate Can the Lambert-W Function Solve the Integral of x^x?

Castilla
Sep 30, 2005 · Replies 8 · Oct 30, 2005

Replies: 8

Graduate Does Integrating a Discrete Function Over All Space Equal Its Infinite Sum?

eljose
Oct 29, 2005 · Replies 2 · Oct 29, 2005

Replies: 2

Graduate How Do You Describe the Riemann Surface of w=z-sqrt(z^2-1)?

T-O7
Oct 28, 2004 · Replies 6 · Oct 29, 2005

Replies: 6

Graduate Integrating a Complex Integral: Solving the Mystery of the Missing Factor 3

TSN79
Oct 28, 2005 · Replies 1 · Oct 28, 2005

Replies: 1

High School Whats wrong with this imaginary number problem?

G01
Oct 28, 2005 · Replies 9 · Oct 28, 2005

Replies: 9

Undergrad Have You Considered This Trick for Finding the Derivative of a Cubic Function?

Robokapp
Oct 28, 2005 · Replies 12 · Oct 28, 2005

Replies: 12

Undergrad Absolute Extrema and Relative Extrema?

G01
Oct 26, 2005 · Replies 11 · Oct 27, 2005

Replies: 11

Graduate Can the Taylor series be inverted without using Lagrange's theorem?

Nishkin
Oct 26, 2005 · Replies 1 · Oct 26, 2005

Replies: 1

Graduate What is a Measure with Finite Mass?

homology
Oct 23, 2005 · Replies 5 · Oct 26, 2005

Replies: 5

Undergrad Question about the maclaurin serie and laplace transform

Lorens
Oct 26, 2005 · Replies 1 · Oct 26, 2005

Replies: 1

Undergrad Calc I - Why is it possible to combine these constants of integration?

opticaltempest
Oct 25, 2005 · Replies 7 · Oct 25, 2005

Replies: 7

Graduate Understanding Hilbert Space to Bilinear and Quadratic Forms

benorin
Oct 23, 2005 · Replies 6 · Oct 25, 2005

Replies: 6

Graduate Is There a Complex Number Equal to Its Own Exponential?

SebastianG
Oct 19, 2005 · Replies 3 · Oct 25, 2005

Replies: 3

Undergrad Differentials - I'm HOPELESSLY Confused. PLEASE Help. PLEASE

samh
Oct 3, 2005 · Replies 14 · Oct 24, 2005

Replies: 14

Graduate Def'n of Limit Point? and limit.

calvino
Oct 22, 2005 · Replies 6 · Oct 22, 2005

Replies: 6

Undergrad Integration by Parts Contradiction

neo_
Oct 22, 2005 · Replies 4 · Oct 22, 2005

Replies: 4

Graduate Integral of an Infinite Product: ideas?

benorin
Oct 20, 2005 · Replies 6 · Oct 21, 2005

Replies: 6

Graduate Proof of Analytic Continuation for Riemann Zeta Function

Jameson
Oct 18, 2005 · Replies 4 · Oct 21, 2005

Replies: 4

Undergrad Get Expert Help with Contour Integrals | Post Questions Here"

robousy
Oct 21, 2005 · Replies 1 · Oct 21, 2005

Replies: 1

Undergrad Sum of all integrers of a certain degree

Werg22
Oct 14, 2005 · Replies 8 · Oct 21, 2005

Replies: 8

Graduate Can anyone think of any examples of curves which are smooth but not analytic?

DeadWolfe
Oct 17, 2005 · Replies 8 · Oct 21, 2005

Replies: 8

Graduate Is the Integral of an Analytic Function Divergent at Infinity?

eljose
Oct 18, 2005 · Replies 11 · Oct 20, 2005

Replies: 11

Undergrad Can you solve the funny integral with a square root of tangent?

Gellmann
Oct 2, 2005 · Replies 12 · Oct 20, 2005

Replies: 12

Graduate Fourier Transform of Probability distribution

sam2
Oct 19, 2005 · Replies 2 · Oct 19, 2005

Replies: 2

Undergrad Is Calculus for Dummies a Worthwhile Investment?

QuantumTheory
Oct 18, 2005 · Replies 3 · Oct 19, 2005

Replies: 3

Undergrad Complex Integral: Solving from Ln to ArcTan

sam2
Oct 18, 2005 · Replies 7 · Oct 19, 2005

Replies: 7

Graduate How do you get from calculus to stochastic calculus?

aliendoom
Oct 17, 2005 · Replies 3 · Oct 19, 2005

Replies: 3

Graduate What are some invariants that can be used to distinguish between two spaces?

philosophking
Oct 17, 2005 · Replies 7 · Oct 19, 2005

Replies: 7

Graduate Squeeze Theorem for an arbitrary metric

eddo
Oct 13, 2005 · Replies 2 · Oct 18, 2005

Replies: 2

Undergrad Using Calculus to find Volume of 3-D Solids

Weather Freak
Oct 17, 2005 · Replies 3 · Oct 17, 2005

Replies: 3

High School Is Calculus Just an Extension of Pre-Calculus?

Line
Oct 12, 2005 · Replies 11 · Oct 16, 2005

Replies: 11

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