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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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Strafe and translation vectors in a 3d physics simulator

Apr 4, 2008 · Replies 1 · Dec 2, 2019

Replies: 1

Views: 2K

Tensor gradient and scalar product

Jun 5, 2010 · Replies 1 · Dec 2, 2019

Replies: 1

Views: 2K

Undergrad Tetration except each repeated exponent increases by 1

Dec 2, 2019 · Replies 1 · Dec 2, 2019

Replies: 1

Views: 933

Undergrad Parseval's theorem and Fourier Transform proof

Dec 1, 2019 · Replies 4 · Dec 2, 2019

Replies: 4

Views: 2K

MHB Square Sheet of Cardboard Problem

Nov 30, 2019 · Replies 17 · Nov 30, 2019

Replies: 17

Views: 2K

Criticism about resummation methods.

May 26, 2007 · Replies 1 · Nov 30, 2019

Replies: 1

Views: 2K

MHB Limit of integer part function using Sandwich rule

Nov 28, 2019 · Replies 3 · Nov 30, 2019

Replies: 3

Views: 1K

MHB Calculus III is SO MUCH EASIER than Calculus II

Sep 11, 2014 · Replies 5 · Nov 29, 2019

Replies: 5

Views: 3K

Undergrad Do 4-divergences affect the eqs of motion for nth order perturbed fields?

Nov 28, 2019 · Replies 1 · Nov 29, 2019

Replies: 1

Views: 2K

MHB AP calculus exam tikx graph of e (tan x ) -2

Nov 25, 2019 · Replies 4 · Nov 28, 2019

Replies: 4

Views: 6K

MHB 303 AP calculus int with initial value

Nov 27, 2019 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 1K

Existence of a function vs being well-defined?

Feb 4, 2012 · Replies 2 · Nov 27, 2019

Replies: 2

Views: 3K

Can Green's Theorem be extended to three dimensions?

Feb 26, 2008 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 2K

Camera Translations: Find Translation & Rotation

Apr 28, 2008 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 3K

Is There a Better Way to Parametrize a Special Region in n-Dimensional Space?

Dec 4, 2007 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 2K

Identity for the cross of a curl?

Apr 18, 2012 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 3K

Def'n of holomorphically convex domain

Dec 4, 2008 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 2K

Alternate form of Dirac-delta function

Sep 29, 2011 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 3K

What are the differences between cylindrical and cartesian coordinates?

Feb 14, 2012 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 3K

Roots and Weights in Lie algebras

Mar 15, 2012 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 2K

Change of variables in integrand

Aug 3, 2010 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 3K

Can You Taylor Expand a Dual Integral with Variable Limits?

Dec 5, 2010 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 3K

Differential Forms and Vector Calculus

Apr 18, 2012 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 3K

Linear fractional transformation

Mar 19, 2012 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 3K

Undergrad Several equal but different ones (1)?

Nov 1, 2019 · Replies 6 · Nov 27, 2019

Replies: 6

Views: 1K

How to solve constraint qualification failure

Jul 11, 2011 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 2K

How Do Egorov's Theorem and Pointwise Convergence Differ in Measure Theory?

Dec 1, 2007 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 2K

Geometric interpretation of \int x f'(x)

Apr 21, 2011 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 2K

JacCalculating Jacobian Matrix for System of Differential Equations

Oct 6, 2011 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 3K

Negative Lipschitz (Hölder) exponent: Intuition

May 24, 2009 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 3K

How Does Green's Function Simplify Understanding Electromagnetic Equations?

Jul 4, 2010 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 2K

Can a Ball in ℝn Be Proven as a Jordan Region with Zero Volume?

Apr 12, 2013 · Replies 1 · Nov 27, 2019

Replies: 1

Views: 3K

MHB How to check monotony of sequence

Nov 24, 2019 · Replies 11 · Nov 27, 2019

Replies: 11

Views: 2K

How do we calculate the complex integral with poles at 2npi?

Aug 3, 2005 · Replies 2 · Nov 26, 2019

Replies: 2

Views: 3K

MHB Triple Integral: $\dfrac{\sqrt{1-x^2}}{2(1+y)}$

Nov 25, 2019 · Replies 3 · Nov 25, 2019

Replies: 3

Views: 1K

Signed measures and uniform integrability

Nov 4, 2004 · Replies 1 · Nov 25, 2019

Replies: 1

Views: 3K

What is the proof for the functional derivative formula in DFT?

Jul 1, 2011 · Replies 1 · Nov 25, 2019

Replies: 1

Views: 3K

Fourier series of a train of gaussians

Feb 23, 2011 · Replies 1 · Nov 25, 2019

Replies: 1

Views: 3K

Question about radius of convergence of fractional power series

Dec 4, 2011 · Replies 1 · Nov 25, 2019

Replies: 1

Views: 3K

Can the Maximum of Rational Functions Be Split into Separate Maxima?

Feb 6, 2005 · Replies 2 · Nov 25, 2019

Replies: 2

Views: 5K

Undergrad Questions about the fundamental thoerem of calculus

Nov 7, 2019 · Replies 10 · Nov 25, 2019

Replies: 10

Views: 2K

MHB Function Help - Rolle's Theorem or the Mean Value Theorem?

Nov 24, 2019 · Replies 2 · Nov 25, 2019

Replies: 2

Views: 1K

Calculating 1D spectrum from 2D spectrum

Mar 19, 2010 · Replies 2 · Nov 25, 2019

Replies: 2

Views: 3K

What is the relationship between angular speed and curl in different systems?

Aug 29, 2004 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Fourier Transform of Stochastic Data

Oct 31, 2010 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Sum of random variables and Fourier transform

Jul 29, 2009 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Meromorphic Functions on Riemann surfaces

Mar 17, 2012 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Bifurcation and Stability of Equilibria

Jul 31, 2006 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Curl and divergence of the conjugate of an holomorphic function

Aug 11, 2011 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Fourier transform, domains, ranges, L^p-spaces

May 1, 2008 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Could a Non-Euclidean Complex Plane Be Defined Using Differential Geometry?

Jul 10, 2007 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Showing positivity of an integral

Jul 29, 2008 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Parametric Curves: CAD & Free Software Info

Apr 13, 2005 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Using a time gradient to compute velocity

Oct 12, 2009 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Finding the domain of integration in spherical coordinate of a shifted cylinder

Apr 1, 2012 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Orthogonality Relationship for Legendre Polynomials in Cylindrical Coordinates

Dec 7, 2011 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Velocity and Flow Analysis: Complex or Real-Which is Best?

Aug 11, 2008 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Theorems of convergence for sequences?

Oct 18, 2005 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Can Asymptotes Be Defined as Points or Circles in Exotic Topologies?

Dec 12, 2009 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

How can I integrate an acceleration vector in polar coordinates?

Sep 5, 2011 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Solving Tricky Supergaussian-Rician Integral: Methods & Challenges

Nov 4, 2011 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 4K

Integral of product of irrational powers

Jun 16, 2009 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Optimal Function for Computational Mesh: Achieving Desired Shape and Flexibility

Aug 5, 2005 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Complex Derivative: Directional Derivatives & Complex Variables

Apr 28, 2012 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

How do i generalize this result to higher dimensions? (arc length, surface area)

Dec 31, 2009 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Find upper limit of improper integral - Numerical Integration

Feb 26, 2012 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

So many notations for derivatives - what's the difference?

May 3, 2011 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Total derivative of integral seen as a functional, how?

Mar 27, 2012 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

Cauchy-Riemann equation polar form

May 17, 2012 · Replies 1 · Nov 24, 2019

Replies: 1

Views: 3K

MHB Explaining the Concept of Triple Integrals in Calculus

Nov 22, 2019 · Replies 7 · Nov 24, 2019

Replies: 7

Views: 2K

Undergrad I would like to know the calculation process of this power spectrum

Nov 22, 2019 · Replies 8 · Nov 24, 2019

Replies: 8

Views: 1K

Undergrad Continious FT of a rectangle waveform is real valued, but the DFT of it is not?

Jan 31, 2012 · Replies 2 · Nov 23, 2019

Replies: 2

Views: 3K

Diffrent definition of Lebesgue integral Have you ever seen this?

Feb 14, 2009 · Replies 1 · Nov 23, 2019

Replies: 1

Views: 3K

Mellin-Perron inverse transform.

Apr 29, 2007 · Replies 1 · Nov 23, 2019

Replies: 1

Views: 3K

Does the Dirac measure still exist on a complex domain?

Jan 2, 2010 · Replies 1 · Nov 23, 2019

Replies: 1

Views: 3K

Kalman Filtering for Hobby Rocketry Altimeters

Oct 26, 2004 · Replies 1 · Nov 22, 2019

Replies: 1

Views: 3K

Does \(\frac{\sin(z)}{z}\) Have a Primitive in \(\mathbb{C} \setminus \{0\}\)?

Jan 14, 2012 · Replies 1 · Nov 22, 2019

Replies: 1

Views: 4K

Why was the higher order derivative defined this way?

Aug 14, 2006 · Replies 1 · Nov 22, 2019

Replies: 1

Views: 3K

Computing the Jacobian matrix for a solar system simulation

Aug 6, 2010 · Replies 1 · Nov 22, 2019

Replies: 1

Views: 3K

Showing that the set of convergent sequences is not separable

Dec 30, 2009 · Replies 1 · Nov 22, 2019

Replies: 1

Views: 4K

Derivative of this bicubic interpolation kernel

Nov 17, 2010 · Replies 1 · Nov 22, 2019

Replies: 1

Views: 3K

Calculating Volume of Solid with Isosceles Right Triangular Cross-Sections

Mar 14, 2005 · Replies 1 · Nov 22, 2019

Replies: 1

Views: 4K

Undergrad Gaussian Quadrature on a Repeated Integral

Nov 28, 2017 · Replies 3 · Nov 22, 2019

Replies: 3

Views: 2K

Undergrad When we can change a sum to an integral?

Nov 21, 2019 · Replies 6 · Nov 21, 2019

Replies: 6

Views: 2K

Is Borel Resummation Always Useful?

Oct 21, 2006 · Replies 1 · Nov 21, 2019

Replies: 1

Views: 4K

How to get (Taylor) series formula for arcosh?

Nov 8, 2011 · Replies 1 · Nov 21, 2019

Replies: 1

Views: 4K

Why Can't I Use Jordan's Lemma to Compute This Improper Integral?

Oct 4, 2007 · Replies 1 · Nov 21, 2019

Replies: 1

Views: 3K

Book recs please - complex analysis, riemann surfaces, multi-valued functions

Jul 13, 2008 · Replies 2 · Nov 21, 2019

Replies: 2

Views: 4K

Can x*log(x) Be Approximated As x Approaches 0?

Mar 8, 2010 · Replies 1 · Nov 21, 2019

Replies: 1

Views: 4K

Calculate Diameter of an Icosahedron from Cross-sectional Widths

Mar 12, 2009 · Replies 1 · Nov 21, 2019

Replies: 1

Views: 3K

Does Zero Volume Indicate Zero Curl in Vector Fields?

Jun 17, 2009 · Replies 1 · Nov 21, 2019

Replies: 1

Views: 4K

How do max/min problems relate to other mathematical concepts?

Jun 14, 2009 · Replies 1 · Nov 21, 2019

Replies: 1

Views: 4K

What Is the General Form of the Third Partial Derivative Test?

Feb 10, 2013 · Replies 1 · Nov 21, 2019

Replies: 1

Views: 4K

What Is the Covariant Derivative and How Can It Be Visualized?

Dec 30, 2009 · Replies 1 · Nov 21, 2019

Replies: 1

Views: 4K

Measure of limit of decreasing sequence

Apr 20, 2008 · Replies 1 · Nov 21, 2019

Replies: 1

Views: 4K

Are Measures m and μ Mutually Singular Given Convergence Conditions?

Dec 9, 2008 · Replies 1 · Nov 21, 2019

Replies: 1

Views: 4K

Gradient Flow - Definition and Sources

Apr 3, 2012 · Replies 1 · Nov 21, 2019

Replies: 1

Views: 4K

Young Functions: Properties & Relations

Feb 23, 2012 · Replies 1 · Nov 21, 2019

Replies: 1

Views: 4K

The most fullproof test for convergence

Sep 14, 2008 · Replies 1 · Nov 21, 2019

Replies: 1

Views: 3K

Volterra Equation of first kind existence of solution?

Jun 3, 2008 · Replies 1 · Nov 21, 2019

Replies: 1

Views: 4K

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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