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.
B What Are Infinitesimals?
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B Why is the definite integral a single number?
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B Explain Integration to me, please
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B Easy derivative but with a pesky singularity
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B How do I invert this exponential function?
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B Minima/maxima of a circle
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B Naturals or Reals When Taking Limits to Obtain the Value of Euler's Number e?
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B Will we get an infinitesimal x when we neglect ##x^2## in ##x+x^2##?
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B Why is Big-O about how rapidly the Taylor graph approaches that of f(x)?
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B Trigonometric substitution
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B Dividing Lamé coefficients
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B Best algebra skills to practice for AP Calc?
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B Let f_n denote an element in a sequence of functions that converges
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B What is the meaning of dx?
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B Neglected terms in integral sum
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B Is this identity containing the Gaussian Integral of any use?
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B How to write this in terms of ##\zeta (x)##?
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B Can the continuity of functions be defined in the field of rational numbers?
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B Representation of infinitesimals in different ways
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B Why is Delta y not equal to dy for infinitesimally dx on the graph?
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B Why do I not understand what seems to be basic Calculus?
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B Mean-Value Theorem, Taylor's formula, and error estimation
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B Problem with the concept of differentiation
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B What is this equation called and why is it regarded as beautiful?
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B Why 1 / ∞ = 0 but ∞ * 0 is not equal to 1?
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B Linearization of a function error viewed with differentials
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B This CAN'T be true (Is my proof that 1=0 correct?)
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B Derivative of Square Root of x at 0
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B Understanding about Sequences and Series
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B Intersection of line and curve
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B What's the difference between d, d/dx and dx?
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B Help Visualizing 3-d Surfaces
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B I want this short proof of the Bolzano-Weierstrass Theorem checked please
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B Another proof of the existence of extreme values on open intervals
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B Proving half of the Heine-Borel theorem
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B Wondering if a limit exists or not
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B Riemann integrability of functions with countably infinitely many dis-
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B Are there mathematicians that dislike integral calculus?
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B First order approx. for a curve
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B Question about set containing subsequential limits of bounded sequence
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B The norm of the derivative of a vector
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B Convergence of a sequence of averages of a convergent sequence
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B Derivatives vs. Fractions
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B What Is the Meaning of $\frac{d}{dx} \frac{dy}{dx}$?
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B I want to smooth this function plot
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B How can y be written as a function of x?
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B Is the level-set for a given function unique?
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B Second derivative and inflection points
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B Second derivatives and inflection points
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B Difficulty with understanding whether 1/n converges or diverges
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B Is this a valid proof for the Extreme Value Theorem?
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B Proving the Existence and Value of a Derivative at a Point
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B Learn 0^0 w/ Young Aussie of the Year: Calculus & Real Analysis Explained
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B Simple Derivation Of Euler's Formula And Applications
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B Are continuous functions on sequentially compact sets u-continuous?
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B What does curl mean?
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B Sequential Compactness of Sets: A Definition
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B Continuation of sequence of supremums question
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B Showing that a sequence of supremums of a sequence has these two properties
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B What is Laplace operator?
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B Divergence theorem step
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B Basic Absolute Value Question
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B Derivative of the product of a function by a constant (possible typo)
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B Why don't we account for the constant in integration by parts?
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B Integration of tan^2 x from - to + infinity
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B Path ordered exponentials
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B An intuitive understanding for derivatives
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B Integrate 1/x from -1 to 1
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B Is multivariable calculus fun?
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B Limit of a function raised to a fractional power
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B Nature of Limits: Learn Calculus Basics w/o Limits Distraction
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B Area Increasing as a linear dimension increases -- Looking for intuition on this
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B Determining the nature of stationary points when the second derivative in that point is zero
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B Is complex analysis really much easier than real analysis?
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B What is the difference between writing f and f(x)?
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B Infinitely smaller changes in a related rates question
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B Name for sine-like functions
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B Is 0,999999.... actually equal to 1?
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B How did Cavalieri get his formula for the area underneath a parabola?
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B Doubt on the derivation of an equation for a surface integral
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B Functions
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B Basic doubts in vector and multi variable calculus
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B How to learn differentiation and integration in 14 days?
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B Volume of paraboloid in a cylinder
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B Confusion on Implicit Differentiation
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B Why the derivative of area is related to the graph of the function
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B How to prove this infinite series?
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B Question about Limits and the Derivative
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B Finding the value of an equation by using its two forms?
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B Critical point of a piecewise function
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B When I'm "finding the derivative" can it be said that I am "differentiating the equation"?
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B Second Derivative Question -- Help Understanding the Importance Please
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B Sign before square root
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B Tangents to a curve as functions of different variables
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B Confused about holding variables constant during integration
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B Proof of quotient rule using Leibniz differentials
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B Is it possible to find complex numbers Cn, so that both equations are satisfied?
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B Can dx be negative?
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B Bartlett's Calculus Paper: Confusing Calculus Notation & Differentials
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B Rationale Behind t-Substitution for Evaluating Limits?
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Calculus

Welcome to the Calculus forum!

Calculus is the science of approximating and even computing exactly, measurements of curved things by means of known measurements of straight things.

Slopes of curves are measured in terms of slopes of lines, areas and volumes of curved surfaces like spheres are measured in terms of measurements of planes and simpler curved objects like cylinders and and cones.

Common topics are elementary functions, calculating limits, derivatives and integrals.

Optimization problems and Homework help is available in the homework forums.

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