Calculus Forum

Post thread
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 threads
Undergrad Mixed approximation vs. full approximation for a power series expansion
Graduate How is the Cross Product Between Two Vectors Determined?
  • Mathoholic!
  • · Replies 2 ·
Replies
2
Undergrad Relationship between differential and the operator
  • wumple
  • · Replies 7 ·
Replies
7
Graduate Is every empty set function continuous?
  • julypraise
  • · Replies 1 ·
Replies
1
Critical point of function of two variables
  • GreenGoblin
  • · Replies 9 ·
Replies
9
Graduate W. W. Hansen's Trick to Evaluating Integrals
  • marcusl
  • · Replies 3 ·
Replies
3
Graduate What is the derivation of fokker planck equation?
  • yunusbsk
  • · Replies 2 ·
Replies
2
Undergrad How can I improve my study strategy for Analysis by Rudin?
  • czechtog
  • · Replies 1 ·
Replies
1
Undergrad The Real Importance of Limits in Calculus
  • nDever
  • · Replies 1 ·
Replies
1
Undergrad Help with Spivak's treatment of epsilon-N sequence definition
  • mitcho
  • · Replies 1 ·
Replies
1
Undergrad Clarification on Jacobians please
  • Ocifer
  • · Replies 6 ·
Replies
6
Sine Fourier series and coefficient of Fourier series
  • Markov2
  • · Replies 9 ·
Replies
9
Graduate A formula for approximating ln(2) and sums of other alternating series
  • checkitagain
  • · Replies 1 ·
Replies
1
Partial Fraction Decomposition of Complex Fractions
  • Dustinsfl
  • · Replies 1 ·
Replies
1
Graduate Confusion regarding the dominated convergence theorem
  • AxiomOfChoice
  • · Replies 2 ·
Replies
2
Graduate Problem on limits from chemistry
  • Bipolarity
  • · Replies 9 ·
Replies
9
Find the condition for equality to hold
  • anemone
  • · Replies 2 ·
Replies
2
Undergrad How can I rearrange an equation for circular motion to solve for velocity?
  • junkie_ball
  • · Replies 2 ·
Replies
2
High School What is meaning of pai decimal expansion
  • sciboudy
  • · Replies 1 ·
Replies
1
Graduate I'm confused about the consistency of partial derivatives
  • BucketOfFish
  • · Replies 4 ·
Replies
4
Graduate Does Boundedness Affect the Radius of Convergence for Subtracted Power Series?
  • Poopsilon
  • · Replies 5 ·
Replies
5
Graduate Is There a Problem with This Complex Integral Evaluation?
  • Random Variable
  • · Replies 3 ·
Replies
3
Graduate Calculating nth Derivative of e^ax cos(bx+c)
  • AAQIB IQBAL
  • · Replies 1 ·
Replies
1
Graduate Need help with a proof on closure
  • life is maths
  • · Replies 9 ·
Replies
9
Fun Puzzles: Test Your Math Skills!
  • sbhatnagar
  • · Replies 10 ·
Replies
10
Undergrad Drawing curves in Spherical coordinate
  • athrun200
  • · Replies 1 ·
Replies
1
Graduate Question on derivative of conjugate
  • dimension10
  • · Replies 38 ·
2
Replies
38
High School What is the base-b expansion of a number and how is it calculated?
  • iceblits
  • · Replies 2 ·
Replies
2
Undergrad How Does Differentiation Determine the Exact Slope of a Curve?
  • lazyaditya
  • · Replies 12 ·
Replies
12
Finding the Rate of Change of Water Level in a Filling Trough
  • bkbowser
  • · Replies 3 ·
Replies
3
Graduate How Can I Evaluate This Intriguing Integral in Analytic Number Theory?
  • riemannian
  • · Replies 1 ·
Replies
1
Graduate Extending radius of convergence by analytic continuation
  • jackmell
  • · Replies 2 ·
Replies
2
Undergrad Why is there a dx/dx in the Implicit Differentiation rule?
  • DrummingAtom
  • · Replies 4 ·
Replies
4
Undergrad Quick Math Q: Evaluate (d^2)/(dxdy) ?
  • btbam91
  • · Replies 5 ·
Replies
5
Undergrad Is U(n) Cyclic and How to Determine Its Generators?
  • iceblits
  • · Replies 2 ·
Replies
2
Find a Bounded, Decreasing $\displaystyle f(x)$
  • alexmahone
  • · Replies 8 ·
Replies
8
Undergrad Using L'hopital's rule in exponential function
  • Elsasw
  • · Replies 2 ·
Replies
2
Undergrad Question about derivative definition
  • mnb96
  • · Replies 5 ·
Replies
5
Undergrad Need help evaulating a few limits
  • Bipolarity
  • · Replies 1 ·
Replies
1
Graduate Is there a formula for the square of an infinite sum?
  • Char. Limit
  • · Replies 2 ·
Replies
2
Undergrad Improper integral of odd integrand
  • MHD93
  • · Replies 8 ·
Replies
8
Graduate Solution of exp(lambda)*Gamma(0,lambda)
  • shakeel001
  • · Replies 3 ·
Replies
3
Undergrad Need some advice regarding apostol calculus volume 1
  • glb_lub
  • · Replies 2 ·
Replies
2
Undergrad Trig Identity for Arctan(a/b) with Rational Values?
  • iceblits
  • · Replies 9 ·
Replies
9
Graduate Why Does My Calculation of the Gaussian Integral for x^4 Differ?
  • AdrianMay
  • · Replies 3 ·
Replies
3
Graduate Can the existence of nonstandard hyperreal extensions be proved?
  • Bipolarity
  • · Replies 7 ·
Replies
7
Graduate Can Special Functions Express This Complex Integral?
  • spinblue
  • · Replies 1 ·
Replies
1
Graduate Solving Double Integral with Polar Coordinates
  • asmani
  • · Replies 1 ·
Replies
1
SE BoardHow Can I Solve This Trigonometric Limit Problem?
  • MacLaddy1
  • · Replies 5 ·
Replies
5
Give an example of a function f(x)
  • alexmahone
  • · Replies 1 ·
Replies
1
Undergrad Is there someway to find the exact area of a blob using integrals?
  • questionpost
  • · Replies 3 ·
Replies
3
Give an example of a function ....
  • alexmahone
  • · Replies 5 ·
Replies
5
Graduate What Type of Expansion is Used Here?
  • Chuck88
  • · Replies 4 ·
Replies
4
Write f(x) in terms of the unit step function u(x)
  • alexmahone
  • · Replies 3 ·
Replies
3
Undergrad What is the topic full of inequalities of 1/(n+1) and integrals?
  • Ask4material
  • · Replies 1 ·
Replies
1
High School Integrating sine from 0 to pi: What does the graph show?
  • quietrain
  • · Replies 8 ·
Replies
8
Graduate Limit involving dirac delta distributions
  • thrillhouse86
  • · Replies 3 ·
Replies
3
Graduate How can I simplify the second integral to make it less than ε?
  • Inertigratus
  • · Replies 8 ·
Replies
8
F(x) coincides with its inverse function
  • alexmahone
  • · Replies 1 ·
Replies
1
Undergrad Partial derivative of a single variable function
  • wumple
  • · Replies 2 ·
Replies
2
How Can I Find the Limit of the Natural Log Function in the Form of a Question?
  • anemone
  • · Replies 7 ·
Replies
7
Graduate Can every set be contained in a measurable set differing by a null set?
  • alexfloo
  • · Replies 1 ·
Replies
1
Graduate E to an imaginary power, equivalent expressions, inequal outcomes?
  • daniel.e2718
  • · Replies 2 ·
Replies
2
Undergrad Extrema in Several Variables: A different way?
  • nth.gol
  • · Replies 2 ·
Replies
2
Graduate Finding the limit of a recurrence equation.
  • iironiic
  • · Replies 1 ·
Replies
1
Graduate Why Is the Contour Integral Zero Despite the Pole?
  • Unit
  • · Replies 5 ·
Replies
5
Undergrad Rolles Theorem, showing two distinct points.
  • srhjnmrg
  • · Replies 3 ·
Replies
3
Limit problem with exponents/logarithms
  • GreenGoblin
  • · Replies 5 ·
Replies
5
How do I evaluate these tricky integrals?
  • GreenGoblin
  • · Replies 22 ·
Replies
22
Undergrad Using u-sub for inetgral(x^4sinxdx)
  • aglo6509
  • · Replies 1 ·
Replies
1
Undergrad What is the meaning of gradient WRT a fixed point?
  • teroenza
  • · Replies 3 ·
Replies
3
Graduate Min eigenvalue of a perturbed matrix
  • julian
  • · Replies 2 ·
Replies
2
The Limit of (sinx+1)/(x) - 1 or Infinity?
  • anemone
  • · Replies 8 ·
Replies
8
Graduate Integration of functions of Complex Variables
  • Charles49
  • · Replies 2 ·
Replies
2
Analysis of Convergence for Series a) and b)
  • alexmahone
  • · Replies 5 ·
Replies
5
Undergrad Does 1/x approach 0 as x approaches infinity?
  • Poopsilon
  • · Replies 8 ·
Replies
8
Undergrad Gradient vs. Directional Derivative
  • 1MileCrash
  • · Replies 12 ·
Replies
12
Graduate Why is integral of 1/z over unit circle not zero?
  • Poopsilon
  • · Replies 22 ·
Replies
22
Graduate Can Weierstrass Substitution Solve This Definite Integral?
  • zhiyuanhou
  • · Replies 2 ·
Replies
2
Undergrad Integration by substitution (and esp. Weierstrass' substitution)
  • dodo
  • · Replies 2 ·
Replies
2
Undergrad Parametrize y = sin(x) with i^ j^ components
  • kgal
  • · Replies 4 ·
Replies
4
Differentiation using first priciple
  • atom123
  • · Replies 7 ·
Replies
7
Undergrad Small proof on monotonic functions
  • Bipolarity
  • · Replies 12 ·
Replies
12
Definite integral with four parameters
  • polygamma
  • · Replies 2 ·
Replies
2
What is the limit of (ln n)^n / [ln(n+1)]^(n+1) as n approaches infinity?
  • alexmahone
  • · Replies 12 ·
Replies
12
Converting Summation Notation to Closed Form for Linear-Geometric Series
  • JimmyK
  • · Replies 9 ·
Replies
9
Undergrad Help with 1 step in proof of d/dx sin x = cos x
  • RUMarine
  • · Replies 4 ·
Replies
4
Approaching Infinity - Finding the Limit of a Sequence
  • alexmahone
  • · Replies 7 ·
Replies
7
Graduate [Question] Limit and Integration
  • Curl
  • · Replies 3 ·
Replies
3
Graduate Total Variation: \Delta f, \Delta x Explained
  • matematikuvol
  • · Replies 2 ·
Replies
2
Undergrad Separating Variables in Integration
  • su2111
  • · Replies 3 ·
Replies
3
Expanding Taylor Series to Get Approximate Answer
  • Dustinsfl
  • · Replies 4 ·
Replies
4
Graduate Why z^(-1/2) cannot be expanded in Laurent series with center z=0?
  • vinovinovino
  • · Replies 2 ·
Replies
2
High School Evaluating Limit for (x^3 + x + 2) / (x^4 -x +1) Tending Towards Infinity
  • fran1942
  • · Replies 5 ·
Replies
5
Undergrad Does there exist a limit for calculating pi?
  • polaris12
  • · Replies 10 ·
Replies
10
Undergrad Second Derivative of 3x^5 - 5x^3: Inflection Points
  • Rasalhague
  • · Replies 4 ·
Replies
4
Graduate 2 particles in a 3d corkscrew over surface of a sphere
  • T.A. Zenaide
  • · Replies 6 ·
Replies
6
Undergrad Definite integrals with -infinity low bound
  • Salt
  • · Replies 3 ·
Replies
3
Can we prove that the integral of a logarithm function is integrable?
  • Spam
  • · Replies 4 ·
Replies
4
Why is the Maclaurin series of $e^u$ simply $\sum\frac{u^n}{n!}$?
  • poissonspot
  • · Replies 4 ·
Replies
4
Graduate Expanding in powers of 1/z (Laurent series)
  • Harudoz
  • · Replies 2 ·
Replies
2