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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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MHB 2.1.2 AP calculus Exan particle move along the x-axis

Dec 24, 2019 · Replies 4 · Dec 24, 2019

Replies: 4

Views: 2K

MHB 3.1.6 AP calculus Exam piece wise integral

Dec 23, 2019 · Replies 2 · Dec 24, 2019

Replies: 2

Views: 1K

Undergrad Find the intersection point of an infinite power tower and a primorial

Dec 21, 2019 · Replies 3 · Dec 22, 2019

Replies: 3

Views: 2K

Graduate Integral of 2 Bessel functions of different orders

Dec 18, 2019 · Replies 3 · Dec 19, 2019

Replies: 3

Views: 2K

MHB Partial Fraction Decomposition Evaluation

Feb 19, 2014 · Replies 4 · Dec 19, 2019

Replies: 4

Views: 2K

Undergrad A one dimensional example of divergence: Mystery

Dec 17, 2019 · Replies 2 · Dec 18, 2019

Replies: 2

Views: 3K

MHB Solve integral with laplace transform

Dec 17, 2019 · Replies 1 · Dec 17, 2019

Replies: 1

Views: 1K

Existence of strictly convex functions with same ordering as convex one

Jun 16, 2012 · Replies 7 · Dec 17, 2019

Replies: 7

Views: 3K

Real Analysis Riemann Integration

Nov 23, 2011 · Replies 1 · Dec 17, 2019

Replies: 1

Views: 2K

Infinite limit of complex integral

Oct 18, 2009 · Replies 1 · Dec 17, 2019

Replies: 1

Views: 2K

Can infinitessimals be represented as monotone decreasing sequences?

Dec 31, 2010 · Replies 1 · Dec 17, 2019

Replies: 1

Views: 2K

What is the Definition of the Rearrangement Function f* in Lorentz Space?

Sep 1, 2010 · Replies 1 · Dec 17, 2019

Replies: 1

Views: 2K

Graduate Psi function or digamma function?

Dec 17, 2019 · Replies 1 · Dec 17, 2019

Replies: 1

Views: 2K

Algebraic Manipulation of Hypergeometric F'n Parameters

Jun 16, 2012 · Replies 1 · Dec 16, 2019

Replies: 1

Views: 2K

How Do You Maximize a Quadratic Form on a Sphere with an Affine Transformation?

May 6, 2010 · Replies 1 · Dec 16, 2019

Replies: 1

Views: 2K

Approximating Error in $\partial_x u(x;\eta)$

Apr 18, 2012 · Replies 1 · Dec 16, 2019

Replies: 1

Views: 2K

Numerical integration and errors

Feb 23, 2010 · Replies 1 · Dec 16, 2019

Replies: 1

Views: 2K

Integration of O() terms of the Taylor series

Feb 2, 2012 · Replies 1 · Dec 16, 2019

Replies: 1

Views: 2K

MHB Show that the set is a partition of A

Dec 15, 2019 · Replies 1 · Dec 15, 2019

Replies: 1

Views: 2K

MHB Is the Convergence of These Sequences Correctly Determined?

Dec 14, 2019 · Replies 3 · Dec 15, 2019

Replies: 3

Views: 2K

MHB Differentiability and continuity

Dec 15, 2019 · Replies 1 · Dec 15, 2019

Replies: 1

Views: 1K

Integration Evaluation (Digamma function)

Apr 13, 2010 · Replies 1 · Dec 14, 2019

Replies: 1

Views: 2K

Undergrad Surface Integrals: Finding Centroid & Inertia of Circle

Dec 13, 2019 · Replies 2 · Dec 14, 2019

Replies: 2

Views: 2K

MHB 1.8.4 AP Calculus Exam Integral of piece-wise function

Dec 11, 2019 · Replies 4 · Dec 12, 2019

Replies: 4

Views: 2K

Using mathematical methods to trade Forex

Jan 23, 2011 · Replies 1 · Dec 12, 2019

Replies: 1

Views: 3K

Help with independent random variables and correlation

Aug 3, 2009 · Replies 1 · Dec 12, 2019

Replies: 1

Views: 2K

Physical Motivation for Curl and Divergence

Jan 22, 2011 · Replies 1 · Dec 12, 2019

Replies: 1

Views: 3K

What Is the Method for Conducting 2D Fourier Analysis of Complex Shapes?

Aug 18, 2011 · Replies 1 · Dec 12, 2019

Replies: 1

Views: 2K

MHB Partial Fractions: Struggling to Remember? Help Here!

Oct 30, 2016 · Replies 4 · Dec 12, 2019

Replies: 4

Views: 3K

MHB 15.1.34 Evaluate triple integral

Dec 10, 2019 · Replies 2 · Dec 11, 2019

Replies: 2

Views: 1K

MHB Which Interval Shows f' Always Increasing?

Dec 10, 2019 · Replies 3 · Dec 11, 2019

Replies: 3

Views: 2K

MHB Limit involving a hyperbolic function

Dec 2, 2019 · Replies 4 · Dec 11, 2019

Replies: 4

Views: 2K

Undergrad Derivative of a function is equal to zero

Dec 10, 2019 · Replies 4 · Dec 10, 2019

Replies: 4

Views: 2K

Undergrad How to find the maximum arc length of this equation?

Dec 9, 2019 · Replies 3 · Dec 10, 2019

Replies: 3

Views: 2K

High School ##\int_a^b x^2\sin(2x)dx## by substitution

Dec 10, 2019 · Replies 2 · Dec 10, 2019

Replies: 2

Views: 2K

How can we determine the limit of a sequence through stochastic convergence?

May 3, 2010 · Replies 1 · Dec 9, 2019

Replies: 1

Views: 3K

George Green's Paper: Explaining the minus sign in area element

Jul 10, 2012 · Replies 1 · Dec 9, 2019

Replies: 1

Views: 2K

Fourier Transform of a discrete function

Feb 26, 2012 · Replies 1 · Dec 9, 2019

Replies: 1

Views: 2K

General expression for the derivative?

Jun 25, 2011 · Replies 1 · Dec 9, 2019

Replies: 1

Views: 2K

Surface Stability Estimator in IR^3

Oct 24, 2010 · Replies 1 · Dec 9, 2019

Replies: 1

Views: 2K

Proving Convexity of a Function with Directional Derivative

Jan 27, 2011 · Replies 1 · Dec 9, 2019

Replies: 1

Views: 2K

Reexpressing double integral using parametric functions

Jul 31, 2010 · Replies 1 · Dec 9, 2019

Replies: 1

Views: 2K

Delta function representation from EM theory

Jan 18, 2010 · Replies 1 · Dec 9, 2019

Replies: 1

Views: 2K

Confusing variable change calculation

Feb 5, 2012 · Replies 1 · Dec 9, 2019

Replies: 1

Views: 2K

How would I explain what scenarios the squeeze theorem should be used in?

Jun 29, 2011 · Replies 1 · Dec 9, 2019

Replies: 1

Views: 2K

Gradient in general co-ordinate system

Feb 9, 2011 · Replies 1 · Dec 9, 2019

Replies: 1

Views: 2K

Integral of a vector valued function

Feb 13, 2012 · Replies 1 · Dec 9, 2019

Replies: 1

Views: 2K

Is Smoothness the Key to Understanding Complex Projective Space?

Sep 23, 2011 · Replies 1 · Dec 9, 2019

Replies: 1

Views: 3K

Undergrad The sum of these functions equals a constant

Dec 7, 2019 · Replies 4 · Dec 9, 2019

Replies: 4

Views: 3K

A problem about differentiability

Dec 22, 2011 · Replies 1 · Dec 8, 2019

Replies: 1

Views: 2K

MHB 2.2.1 AP Calculus Exam .... derivative with ln

Nov 30, 2019 · Replies 8 · Dec 7, 2019

Replies: 8

Views: 2K

Non-convergence counter example?

Jul 27, 2010 · Replies 3 · Dec 7, 2019

Replies: 3

Views: 2K

Multivariable confluence hypergeometric function

Feb 9, 2012 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 2K

Can this represent rotation? Why?

May 1, 2011 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 2K

Prove combination of two sets contains an open ball

Dec 17, 2011 · Replies 3 · Dec 5, 2019

Replies: 3

Views: 2K

Minimization and Variational Problems

Aug 29, 2010 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 2K

Modeling mathematical representation for music signal

May 17, 2012 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 2K

Understanding vector calculus proofs

Oct 1, 2011 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 2K

Calculate Ellipse based on 4 points

Mar 7, 2012 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 2K

Tangent plane approximation via parametric equations

Feb 27, 2009 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 2K

How Do We Apply Boundary Conditions in the Euler-Lagrange Equation Derivation?

Oct 31, 2004 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 2K

Any good resources that help you practice setting up an integral from scratch?

Feb 27, 2012 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 2K

What is the convergence rate of Fourier series?

Sep 23, 2011 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 3K

Proof - Substitution, Jacobian, etc.

Jun 22, 2011 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 2K

Finding average slope using Fourier

Feb 8, 2011 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 2K

Real Analysis 101: Tips for Writing Good Proofs

Sep 30, 2010 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 3K

Question about baire class 1 functions

Oct 17, 2010 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 2K

Intuitive / self-apparent derivation of gradient in curvilinear coords

Dec 6, 2011 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 2K

Series expansion of an integral at infinity

Oct 5, 2013 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 2K

Can functions with infinite derivatives at infinity be local homeomorphisms?

Feb 4, 2009 · Replies 1 · Dec 5, 2019

Replies: 1

Views: 2K

High School Does the Limit Hold for f'(x)>g'(x) Even if f(x)/g(x) is not a Constant?

Dec 4, 2019 · Replies 25 · Dec 5, 2019

Replies: 25

Views: 3K

High School Why the Sign Changes from < 0 to > 0 ?

Nov 25, 2019 · Replies 24 · Dec 4, 2019

Replies: 24

Views: 3K

How Does Fourier Analysis Explain Frequency Changes in Time Series Data?

Jun 21, 2010 · Replies 1 · Dec 4, 2019

Replies: 1

Views: 2K

Parameter Scaling for Optimization

Oct 21, 2013 · Replies 1 · Dec 4, 2019

Replies: 1

Views: 3K

Solving equations by inversion formulae

Jan 31, 2010 · Replies 1 · Dec 4, 2019

Replies: 1

Views: 2K

Summation of a series of bessel functions

Jul 16, 2009 · Replies 1 · Dec 4, 2019

Replies: 1

Views: 2K

X in Boundary => x Isolated or Strict Limit (topological space)

Mar 18, 2008 · Replies 1 · Dec 4, 2019

Replies: 1

Views: 2K

Graduate Integration of Bessel's functions

Dec 1, 2019 · Replies 4 · Dec 4, 2019

Replies: 4

Views: 2K

Undergrad Question regarding notation when omitting terms

Dec 2, 2019 · Replies 5 · Dec 4, 2019

Replies: 5

Views: 2K

What is the meaning of Green's Theorem via Curl?

Nov 3, 2008 · Replies 1 · Dec 3, 2019

Replies: 1

Views: 2K

Can Laurent-Puiseux series be computed for annular regions?

Nov 13, 2011 · Replies 1 · Dec 3, 2019

Replies: 1

Views: 2K

What is the interpretation of the Fourier transformation?

Mar 1, 2012 · Replies 1 · Dec 3, 2019

Replies: 1

Views: 2K

How Can Continuous Group Theory Be Applied to Solve a Differential Equation?

Jun 10, 2006 · Replies 1 · Dec 3, 2019

Replies: 1

Views: 2K

Proper handling of witnessing constants in epsilon-delta proofs

Sep 21, 2010 · Replies 1 · Dec 3, 2019

Replies: 1

Views: 2K

Learn Tensor Calculus: Understand Tensor Invariance

Apr 22, 2010 · Replies 1 · Dec 3, 2019

Replies: 1

Views: 2K

Lagrangian Multiplier with Matrices

Sep 17, 2009 · Replies 1 · Dec 3, 2019

Replies: 1

Views: 2K

Did I Deduce Problem 4-25 in Spivak's Book Correctly?

Feb 5, 2010 · Replies 1 · Dec 3, 2019

Replies: 1

Views: 2K

Proving Curvature at Point (a,f(a))

May 26, 2007 · Replies 1 · Dec 3, 2019

Replies: 1

Views: 3K

When is fourier series non-differentiable?

Mar 29, 2010 · Replies 1 · Dec 3, 2019

Replies: 1

Views: 3K

Partition of an infinite-dimensional interval

Apr 30, 2007 · Replies 1 · Dec 3, 2019

Replies: 1

Views: 2K

The condition for an inflection point

Sep 16, 2012 · Replies 1 · Dec 3, 2019

Replies: 1

Views: 2K

Analysing the dependence of a variable on other variables

Aug 22, 2011 · Replies 1 · Dec 3, 2019

Replies: 1

Views: 2K

Can Borel Resummation Solve Complex Series Summation?

Aug 29, 2006 · Replies 1 · Dec 3, 2019

Replies: 1

Views: 3K

Proof of G(D)(e^{rx}Y(x))=e^{rx}G(D+r)Y(x)

Dec 23, 2010 · Replies 1 · Dec 2, 2019

Replies: 1

Views: 2K

Are There Sophisticated Methods for Proving Uniform Distribution of Sequences?

Sep 3, 2009 · Replies 1 · Dec 2, 2019

Replies: 1

Views: 2K

Is the Set {aX : a is in L_infinity} Necessarily Closed in L1 Spaces?

Jan 12, 2009 · Replies 1 · Dec 2, 2019

Replies: 1

Views: 2K

Can a 'periodic' function be used to derive these two sums using Fourier series?

Apr 29, 2007 · Replies 1 · Dec 2, 2019

Replies: 1

Views: 3K

Modelling Logistics, Polynomials using data.

Aug 31, 2008 · Replies 1 · Dec 2, 2019

Replies: 1

Views: 2K

Iterative integration in several variables

Jul 1, 2011 · Replies 1 · Dec 2, 2019

Replies: 1

Views: 2K

Is There an Easier Way to Find the Nth Derivative of Curvature?

May 26, 2012 · Replies 1 · Dec 2, 2019

Replies: 1

Views: 3K

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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