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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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Graduate Can someone please confirm or deny this assertion about absolute convergence?

Apr 8, 2011 · Replies 8 · Apr 10, 2011

Replies: 8

Views: 3K

Undergrad Description of radial vector fields?

Apr 10, 2011 · Replies 1 · Apr 10, 2011

Replies: 1

Views: 2K

Graduate Stock market optimization fantasy

Apr 10, 2011 · Replies 3 · Apr 10, 2011

Replies: 3

Views: 2K

Undergrad Optimization question - optimal conical container

Apr 9, 2011 · Replies 7 · Apr 10, 2011

Replies: 7

Views: 3K

Graduate Which differentiable functions R to R are bijective?

Apr 9, 2011 · Replies 13 · Apr 10, 2011

Replies: 13

Views: 7K

Undergrad Find Area with Polar Coordinates: Help for Exams

Apr 7, 2011 · Replies 1 · Apr 9, 2011

Replies: 1

Views: 2K

Graduate Definite Integral of 1/x from 0 to 1 problem

Apr 9, 2011 · Replies 2 · Apr 9, 2011

Replies: 2

Views: 15K

Graduate Derivative of integral over distribution

Apr 7, 2011 · Replies 8 · Apr 8, 2011

Replies: 8

Views: 3K

Undergrad What Are Integration and Differentiation in Calculus?

Mar 21, 2011 · Replies 12 · Apr 8, 2011

Replies: 12

Views: 11K

Graduate Is the Natural Numbers Dense in Itself?

Apr 1, 2011 · Replies 8 · Apr 8, 2011

Replies: 8

Views: 3K

Graduate Norm of operator vs. norm of its inverse

Apr 4, 2011 · Replies 3 · Apr 8, 2011

Replies: 3

Views: 22K

Graduate Derivatives of 2pi-periodic functions

Apr 7, 2011 · Replies 4 · Apr 8, 2011

Replies: 4

Views: 4K

Undergrad Taylor Polynomial for f(x)=sec(x)

Nov 9, 2008 · Replies 14 · Apr 7, 2011

Replies: 14

Views: 29K

Graduate Edwards Advanced Calculus of Several Variables

Apr 6, 2011 · Replies 3 · Apr 7, 2011

Replies: 3

Views: 7K

Graduate Regarding Riemann integration defination

Apr 7, 2011 · Replies 8 · Apr 7, 2011

Replies: 8

Views: 3K

Graduate Why the 1/Sqrt{2 Pi} in the definition of the Fourier transform?

Apr 4, 2011 · Replies 8 · Apr 7, 2011

Replies: 8

Views: 38K

Graduate Finding Connected Components of a Set of Circles

Apr 6, 2011 · Replies 4 · Apr 7, 2011

Replies: 4

Views: 2K

Graduate How to compute this line integral

Apr 5, 2011 · Replies 4 · Apr 7, 2011

Replies: 4

Views: 2K

Graduate Solving Integral of e^wix for Particle Location

Apr 5, 2011 · Replies 1 · Apr 7, 2011

Replies: 1

Views: 2K

Undergrad What Is the Limit of x^x as x Approaches 0?

Apr 4, 2011 · Replies 6 · Apr 7, 2011

Replies: 6

Views: 53K

Undergrad Fourier series odd and even functions

Apr 6, 2011 · Replies 2 · Apr 6, 2011

Replies: 2

Views: 5K

What is the solution to this puzzling brain teaser?

Dec 3, 2008 · Replies 3 · Apr 6, 2011

Replies: 3

Views: 2K

Graduate Exploring the Applications and Interpretations of Fractional Derivatives

Apr 4, 2011 · Replies 3 · Apr 6, 2011

Replies: 3

Views: 3K

Undergrad Why Do Conic Sections Fail to Produce Symmetrical Ellipses?

Mar 30, 2011 · Replies 19 · Apr 6, 2011

Replies: 19

Views: 7K

Graduate Can the relation a^p+b^p>=2c^p be proven for p values between 0 and 1?

Mar 30, 2011 · Replies 1 · Apr 6, 2011

Replies: 1

Views: 2K

Undergrad Integrate product of heaviside function and function of x

Apr 4, 2011 · Replies 3 · Apr 5, 2011

Replies: 3

Views: 6K

Graduate Determining number of branch cuts of a function

Apr 5, 2011 · Replies 1 · Apr 5, 2011

Replies: 1

Views: 1K

Graduate Differentiability and differential of a funtion

Apr 5, 2011 · Replies 4 · Apr 5, 2011

Replies: 4

Views: 2K

Graduate Understanding Disconnectedness in Countable Metric Spaces

Apr 5, 2011 · Replies 6 · Apr 5, 2011

Replies: 6

Views: 3K

Undergrad Union of Closed Sets: Finite vs. Infinite Examples

Apr 5, 2011 · Replies 2 · Apr 5, 2011

Replies: 2

Views: 2K

Graduate Commutation of differentiation and averaging operations

Apr 3, 2011 · Replies 7 · Apr 4, 2011

Replies: 7

Views: 6K

Undergrad Finding an accurate derivative for discrete points

Apr 4, 2011 · Replies 1 · Apr 4, 2011

Replies: 1

Views: 2K

Undergrad Needed clarification regarding Rolles theorem

Apr 4, 2011 · Replies 2 · Apr 4, 2011

Replies: 2

Views: 2K

Undergrad How Do You Integrate the Function |x|/x?

Nov 14, 2010 · Replies 9 · Apr 4, 2011

Replies: 9

Views: 14K

Undergrad Second Shifting theorem to find Laplace transform

Apr 2, 2011 · Replies 1 · Apr 4, 2011

Replies: 1

Views: 5K

High School How can I rearrange this equation to make dx the focus?

Apr 3, 2011 · Replies 1 · Apr 3, 2011

Replies: 1

Views: 1K

Undergrad How Can U-Substitution Simplify Integrating Complex Functions?

Apr 3, 2011 · Replies 2 · Apr 3, 2011

Replies: 2

Views: 12K

Graduate Proving a function to be constant

Apr 3, 2011 · Replies 15 · Apr 3, 2011

Replies: 15

Views: 3K

Graduate Proving that left limit for a function exists

Apr 3, 2011 · Replies 2 · Apr 3, 2011

Replies: 2

Views: 2K

Graduate Can *YOU* understand this functional analysis proof?

Apr 3, 2011 · Replies 4 · Apr 3, 2011

Replies: 4

Views: 2K

Graduate Discourse on Dirac Delta Function in Spherical/Polar Coordinates

Apr 3, 2011 · Replies 1 · Apr 3, 2011

Replies: 1

Views: 2K

Undergrad Double integral to simple integral

Apr 3, 2011 · Replies 6 · Apr 3, 2011

Replies: 6

Views: 2K

Graduate Definition of Differentiablility/Continuity f:R^2->R

Apr 2, 2011 · Replies 1 · Apr 2, 2011

Replies: 1

Views: 5K

Undergrad How Do You Calculate the Derivative of a Function?

Apr 1, 2011 · Replies 14 · Apr 2, 2011

Replies: 14

Views: 4K

Undergrad Interpreting Thermodynamic Equations for Vapor Deposition Processes

Mar 31, 2011 · Replies 3 · Apr 2, 2011

Replies: 3

Views: 1K

Graduate Proof of an infinite product formula

Oct 11, 2008 · Replies 4 · Apr 2, 2011

Replies: 4

Views: 5K

High School Isaac Newton & Calculus: Inventing, Antiderivatives & F(b)-F(a)

Apr 1, 2011 · Replies 2 · Apr 2, 2011

Replies: 2

Views: 2K

Undergrad Parametric equations and derivatives

Apr 2, 2011 · Replies 4 · Apr 2, 2011

Replies: 4

Views: 2K

Graduate Construct Mobius Transform Easily: Step-by-Step Guide

Mar 30, 2011 · Replies 2 · Apr 1, 2011

Replies: 2

Views: 3K

Undergrad What does the new integral in surface integral theory represent?

Mar 31, 2011 · Replies 2 · Apr 1, 2011

Replies: 2

Views: 2K

Graduate Can two disjoint sets have equal measure on any interval in a given interval?

Mar 31, 2011 · Replies 7 · Apr 1, 2011

Replies: 7

Views: 3K

Undergrad Can Variable Substitution Validate This Integral Transformation?

Apr 1, 2011 · Replies 1 · Apr 1, 2011

Replies: 1

Views: 2K

Undergrad Is this indefinite integral really unsolvable?

Mar 30, 2011 · Replies 4 · Apr 1, 2011

Replies: 4

Views: 4K

Graduate Questions about convergence testing.

Dec 28, 2010 · Replies 6 · Apr 1, 2011

Replies: 6

Views: 3K

Undergrad True or False? Continuity Problem: f(0)=g(0)

Mar 31, 2011 · Replies 1 · Apr 1, 2011

Replies: 1

Views: 1K

Graduate Asymptotic of rational function

Mar 25, 2011 · Replies 8 · Mar 31, 2011

Replies: 8

Views: 2K

High School Solving the Mystery of Square Root x Multiplied by 1/x

Mar 31, 2011 · Replies 2 · Mar 31, 2011

Replies: 2

Views: 2K

Undergrad How Do You Find the Image of a Function Analytically?

Mar 30, 2011 · Replies 3 · Mar 31, 2011

Replies: 3

Views: 24K

Graduate Manipulating Equations with Del Operators

Mar 31, 2011 · Replies 2 · Mar 31, 2011

Replies: 2

Views: 2K

Graduate Is the Pointwise Limit of Measurable Functions Also Measurable?

Mar 25, 2011 · Replies 5 · Mar 31, 2011

Replies: 5

Views: 5K

Undergrad Can you prove the area of a circle by calculus?

Mar 29, 2011 · Replies 16 · Mar 31, 2011

Replies: 16

Views: 9K

Undergrad What is the concept of dx in calculus?

Mar 19, 2011 · Replies 33 · Mar 31, 2011

2

Replies: 33

Views: 9K

Undergrad Why Are Differentials Treated Like Fractions?

Jan 20, 2011 · Replies 10 · Mar 31, 2011

Replies: 10

Views: 4K

Graduate How Do You Prove L(L(A)) ⊆ L(A) Using Subspace Properties?

Mar 30, 2011 · Replies 3 · Mar 31, 2011

Replies: 3

Views: 2K

Undergrad What Are the Key Components of Fourier Transforms and Their Notation?

Mar 31, 2011 · Replies 1 · Mar 31, 2011

Replies: 1

Views: 2K

Graduate Clarifications regarding the reals

Mar 31, 2011 · Replies 3 · Mar 31, 2011

Replies: 3

Views: 1K

Graduate Is the Intersection of Infinite Non-Empty Open Subsets Empty?

Mar 30, 2011 · Replies 7 · Mar 31, 2011

Replies: 7

Views: 3K

Undergrad How to find the points that the function is not analytic?

Mar 31, 2011 · Replies 1 · Mar 31, 2011

Replies: 1

Views: 6K

Graduate Can You Prove These Two Questions About a One-to-One Function f: R -> R?

Mar 30, 2011 · Replies 1 · Mar 31, 2011

Replies: 1

Views: 1K

Undergrad Derivative of g(h(t), t) with respect to h

Mar 30, 2011 · Replies 4 · Mar 31, 2011

Replies: 4

Views: 3K

Graduate Extending Sigma Sums to Real Numbers

Mar 27, 2011 · Replies 17 · Mar 30, 2011

Replies: 17

Views: 5K

Graduate Non Decreasing Subsequence in [0,1]

Mar 29, 2011 · Replies 4 · Mar 29, 2011

Replies: 4

Views: 2K

Graduate What is the Volume and Surface Area of an n-Dimensional Sphere?

Mar 28, 2011 · Replies 6 · Mar 29, 2011

Replies: 6

Views: 3K

Undergrad Double Integrals: Find Region Between Surface & Triangle

Mar 29, 2011 · Replies 1 · Mar 29, 2011

Replies: 1

Views: 2K

Undergrad Help needed doing differentiation (quotient rule)

Mar 29, 2011 · Replies 3 · Mar 29, 2011

Replies: 3

Views: 2K

Undergrad How can i calculate the attached integral?

Mar 16, 2011 · Replies 13 · Mar 29, 2011

Replies: 13

Views: 3K

Undergrad Solving ODE w/ Initial Condition: Verify & Determine Particular Solution

Mar 13, 2011 · Replies 2 · Mar 29, 2011

Replies: 2

Views: 2K

Graduate How many definitions of holomorphic

Mar 28, 2011 · Replies 3 · Mar 29, 2011

Replies: 3

Views: 2K

Graduate Solving Diffusion Equation By Finite difference Method in fortran

Mar 20, 2011 · Replies 6 · Mar 29, 2011

Replies: 6

Views: 7K

Undergrad Complex numbers physical interpretation

Feb 8, 2011 · Replies 13 · Mar 28, 2011

Replies: 13

Views: 5K

Graduate Finding Center and Radius of Circle in Conformal Mapping

Feb 19, 2011 · Replies 3 · Mar 28, 2011

Replies: 3

Views: 3K

Undergrad Sigma Notation: Learn How to Evaluate Expressions

Mar 27, 2011 · Replies 6 · Mar 28, 2011

Replies: 6

Views: 8K

Graduate What is the limit of a^x when a tend to infinity and x tend to 0?

Mar 27, 2011 · Replies 6 · Mar 27, 2011

Replies: 6

Views: 3K

Graduate How to calculate the converge radius of a Laurent series

Mar 27, 2011 · Replies 1 · Mar 27, 2011

Replies: 1

Views: 4K

High School Which Calculus Book? Stewart or Spivak?

Mar 24, 2011 · Replies 16 · Mar 27, 2011

Replies: 16

Views: 15K

Undergrad Proving Inequality with Bernoulli's: k≤n Positive Integers

Mar 26, 2011 · Replies 2 · Mar 27, 2011

Replies: 2

Views: 2K

Graduate Is Morera's Theorem the Converse of Cauchy's Theorem in Complex Analysis?

Mar 27, 2011 · Replies 1 · Mar 27, 2011

Replies: 1

Views: 2K

Graduate What is a free sequence in a Hilbert space?

Mar 26, 2011 · Replies 4 · Mar 27, 2011

Replies: 4

Views: 2K

Undergrad How can I truly learn Calculus without going through the basic steps?

Jan 10, 2011 · Replies 21 · Mar 27, 2011

Replies: 21

Views: 9K

Graduate What Should I Study for Midterm?

Mar 14, 2011 · Replies 2 · Mar 26, 2011

Replies: 2

Views: 2K

Undergrad Confusion about the constant of integration and bounds

Mar 26, 2011 · Replies 1 · Mar 26, 2011

Replies: 1

Views: 2K

Graduate Interested in Funtional Analysis

Feb 1, 2011 · Replies 18 · Mar 26, 2011

Replies: 18

Views: 6K

Graduate Recommend textbook for complex analysis

Aug 10, 2010 · Replies 10 · Mar 26, 2011

Replies: 10

Views: 7K

Undergrad Is a Cusp Considered an Inflection Point in Calculus?

Mar 23, 2011 · Replies 2 · Mar 26, 2011

Replies: 2

Views: 14K

Graduate Taylor's Theorem: Lagrange Form for Approximating Error

Mar 25, 2011 · Replies 2 · Mar 25, 2011

Replies: 2

Views: 2K

Undergrad Inflection points theorem for quadratic functions.

Mar 24, 2011 · Replies 5 · Mar 25, 2011

Replies: 5

Views: 16K

Graduate Proving Vector Calculus: Cyclic Integral of (r dot ds)=0

Mar 16, 2011 · Replies 1 · Mar 25, 2011

Replies: 1

Views: 2K

Graduate How Do You Solve This Complex Electrodynamics Integral?

Mar 25, 2011 · Replies 2 · Mar 25, 2011

Replies: 2

Views: 2K

Graduate Constructing the Real Numbers through Infinite Decimal Expansions

Mar 14, 2011 · Replies 16 · Mar 25, 2011

Replies: 16

Views: 6K

Undergrad So only 12 of the values are used.

Mar 23, 2011 · Replies 1 · Mar 25, 2011

Replies: 1

Views: 8K

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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