Calculus Forum

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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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Insights Beginner's Guide to Precalculus, Calculus and Infinitesimals
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MHB What Are Advanced Integration Techniques in Mathematics?
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I Unit Circle Confusion: A Self-Study Challenge?
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A How does time derivative commute from one variable to another?
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I Find f(z) given f(x, y) = u(x, y) + iv(x,y)
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I Problem in understanding instantaneous velocity
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I Derive the orthonormality condition for Legendre polynomials
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I How to find the path if we only know the velocity (without common formulas)?
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I Why is Griffiths Treating the Summation Like This?
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B Complex Numbers and Real Taylor Series
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A How to Find Critical Points of function f(x,y,z)
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A Getting the power spectral density from a plot
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I Should the function f to be continuous for applying MVTI or not?
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I Explicit logical justification for last step in epsilon/delta proof?
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I Algebraic property of real numbers
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I Partial derivative of Dirac delta of a composite argument
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I Integral confusion for a simple Differential Equation
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I Struggling with vector calculus identity used in E&M derivation
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I Harmonic series Ʃ1/n diverges but p-series Ʃ(1/n)^p diverges?
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I Having trouble understanding a seemingly simple u-substitution
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A Function expansion in Cartesian and spherical tensors
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I ##f(2x)=f^2(x)-2f(x)-1/2## then find ##f(3)##
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I Uniform convergence of family of functions with continuous index
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I Optimization problem: Error mitigation while using trigonometry
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I Find ##\int_0^π \sin^ n x dx ##
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I Construction of reals through Dedekind cuts in Baby Rudin
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I Understanding Reduction Formula
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I ##L^2## - space equivalence classes and norm
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A Particular Integrals of PDEs
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Why Does Leg Selection in Trig Substitution Affect the Integral Result?
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I Another Integration Formula
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A Solving a power series
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I Delta sequence "extrapolation"
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I Oddity of a functional equation for the R zeta function
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I Infinitely many primes of the form p² + nq² -- really?
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I Is there an alternative to Taylor series but with differences?
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I The net area and total area involving definite integrals
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B The infinitesimal in Calculus
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I Usage of inverse function theorem in Folland
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I Questions on ##\mathbb{R}##
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B What is a general definition of a limit?
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I Integrating 1/x with units (logarithm)
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I Different Substitution for Solving an Integral
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I Trying to understand roots of quadratic equations
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I A correct definition of sequential right continuity of a function
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I Curl operator for time-varying vector
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I Difference between integral and antiderivative?
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B Some questions to understand Riemann integrability criterion
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I Understanding linear expressions
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I Question about this Integration by Substitution
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I Infinite Series - Divergence of 1/n question
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I To What Extent Can You Manipulate Limits?
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I Understanding the nth-term test for Divergence
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B Does U-Substitution Function as the Inverse of the Chain Rule?
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I Integration Using Trigonometric Substitution
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I Uniform convergence and derivatives -- difference between two theorems?
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I On inverse function theorem in Spivak's CoM
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I What is the position of this moving particle over time?
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B Why does the Limit Process give an Exact Slope?
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I Switching a derivative and a limit is sometimes possible, sometimes not...
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I What is the difference between these two power series theorems?
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I Analysis of functions of a single variable via multivariable calculus?
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I Can Schwarz's Theorem be used "Backwards" to prove continuity?
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B Some questions while I self-learn Applied Calculus
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I How to Approach a Double Exponential Integral?
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I What would a calculus author have to say on ##\int r^2dm##?
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B How do physicists know if limits exist, things are integrable, etc?
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I Separation of variables and the chain rule
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I Question about Integrals to Determine Volume vs Surface Area
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I Question about Cartesian Tensors
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I Doubt about theorem in Calculus on Manifolds
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A Question about proof of Great Picard Theorem
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B Some questions regarding the integral of cos(ax), "a" not zero
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A Existence of a limit implies that a function can be harmonic extended
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A Question about branch of logarithm
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I Determining Whether Solution is Vector vs Scalar?
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I Equivalence of alternative definitions of conservative vector fields and line integrals in different metric spaces
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I How to manipulate functions that are not explicitly given?
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A How to take the spatial derivative of quaternions
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I Derivative of the area is the circumference -- generalization
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I Question on an infinite summation series
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I Antipodal points and temperature and other angles
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B Understanding the instantaneous velocity formula
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A How do I apply the method of steepest descents to this integral?
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I How to find a point that corresponds to hyperreal number?
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I Landscape Fabric Roll
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I ##L^2## square integrable function Hilbert space
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I Question about uniform convergence in a proof
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I Monad in non-standard analysis
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I Did Math DF's integral calculator make a glaring mistake?
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I Question on Lambert W function
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I Taking the derivative of a function
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B Question about change of variables
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B Question about the fundamental theorem of calculus
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I Differentiability of a Multivariable function
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B Question about units for "area under curve"
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A Can a function inside the integral be erased?
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B Question about the limits of integration in a change of variables
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I Can a function inside the integral be erased?
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B Having trouble deriving the volume of an elliptical ring toroid
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B Question about volume of a sphere
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I Determination of error in interpolating polynomial
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