Menu

Navigation

More options

Style variation

Contact us

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.

Filters

Is There a Complex Gradient Formula for Polar Coordinates?

Jul 17, 2009 · Replies 1 · Nov 20, 2019

Replies: 1

Views: 4K

Is This Integral a Candidate for Asymptotic Analysis?

Nov 5, 2010 · Replies 1 · Nov 20, 2019

Replies: 1

Views: 4K

Need some information on Cesaro summability and the Grandi series

Feb 2, 2008 · Replies 1 · Nov 20, 2019

Replies: 1

Views: 4K

Preparing for Real Analysis & Modern Algebra: Best (Cheap) Texts

Apr 9, 2006 · Replies 1 · Nov 20, 2019

Replies: 1

Views: 4K

Continuous and Discrete Fourier Transform at the Nyquist frequency

Oct 20, 2010 · Replies 1 · Nov 20, 2019

Replies: 1

Views: 4K

Should I Normalize My Discretized Integral?

Mar 19, 2012 · Replies 2 · Nov 20, 2019

Replies: 2

Views: 4K

Solving Fun Ellipse Problem: Finding Parametric Representation

Feb 10, 2010 · Replies 1 · Nov 20, 2019

Replies: 1

Views: 4K

Derivation of the divergence in the spherical coordinate

Feb 14, 2011 · Replies 1 · Nov 20, 2019

Replies: 1

Views: 4K

How the Berkeley edition Calculus book by Stewart differs from the standard one?

Mar 25, 2010 · Replies 1 · Nov 20, 2019

Replies: 1

Views: 4K

Torricelli's Trumpet Proof using Method of Indivisibles

Jan 13, 2011 · Replies 1 · Nov 20, 2019

Replies: 1

Views: 4K

Zero and first order Hankel Transforms

Dec 30, 2007 · Replies 1 · Nov 20, 2019

Replies: 1

Views: 5K

Calculus of Variations with Inequality Constraints

Apr 1, 2011 · Replies 1 · Nov 20, 2019

Replies: 1

Views: 4K

Is There an Alternative Method to Obtain the Extremum of a Functional?

Mar 19, 2006 · Replies 1 · Nov 19, 2019

Replies: 1

Views: 4K

How to prove xy <= exp(x-1) +ylny using differentiation

Sep 29, 2006 · Replies 1 · Nov 19, 2019

Replies: 1

Views: 4K

Does Quaternion Calculus Extend Classical Complex Analysis Theorems?

Aug 15, 2008 · Replies 1 · Nov 19, 2019

Replies: 1

Views: 5K

MHB 3.1.5 AP Calculus Exam average temperature

Nov 19, 2019 · Replies 3 · Nov 19, 2019

Replies: 3

Views: 2K

Divergence of dyadic product of a dyadic and vector

Jul 17, 2013 · Replies 1 · Nov 19, 2019

Replies: 1

Views: 6K

Serious second mean value theorem for integration

Dec 3, 2010 · Replies 1 · Nov 19, 2019

Replies: 1

Views: 5K

Does Anyone Understand the Conway Base 13 Function?

Jul 25, 2008 · Replies 1 · Nov 19, 2019

Replies: 1

Views: 5K

Identifying Quadric Surfaces: Memorization or Visualization?

Oct 2, 2010 · Replies 1 · Nov 19, 2019

Replies: 1

Views: 5K

Uniform convergence of piecewise continuous functions

Nov 13, 2010 · Replies 1 · Nov 19, 2019

Replies: 1

Views: 6K

Interesting plot of an implicit equation with square root of signum functions

Jul 29, 2011 · Replies 1 · Nov 19, 2019

Replies: 1

Views: 5K

Solving Complex Inequality: t > (1/2) + a / |w|^2

May 9, 2005 · Replies 1 · Nov 19, 2019

Replies: 1

Views: 5K

Area Under a Curve, 3D, with known end points and curve radius

Jul 23, 2012 · Replies 1 · Nov 19, 2019

Replies: 1

Views: 6K

Zero's of the modified Bessel functions,

Feb 6, 2004 · Replies 1 · Nov 19, 2019

Replies: 1

Views: 5K

Undergrad Area enclosed by a function involving 2 power towers

Nov 16, 2019 · Replies 3 · Nov 18, 2019

Replies: 3

Views: 1K

MHB 2.7.3 AP calculus Exam Riemann sum

Nov 18, 2019 · Replies 3 · Nov 18, 2019

Replies: 3

Views: 1K

Undergrad Integration : Are a function and it's derivative independent?

Nov 16, 2019 · Replies 3 · Nov 18, 2019

Replies: 3

Views: 1K

Undergrad Is Joon-Hwi Kim's idea of graphical notation for vector calc any good?

Nov 17, 2019 · Replies 1 · Nov 17, 2019

Replies: 1

Views: 2K

MHB Decide volume given two functions

Nov 16, 2019 · Replies 3 · Nov 17, 2019

Replies: 3

Views: 1K

MHB Estimate Paint Amount for Hemispherical Dome w/ Differentials

Nov 16, 2019 · Replies 2 · Nov 16, 2019

Replies: 2

Views: 4K

High School How Can We Prove That x^x Reaches a Minimum at x = e^-1?

Nov 15, 2019 · Replies 4 · Nov 16, 2019

Replies: 4

Views: 1K

MHB Calculate volume of a solid rotating around the y-axis

Nov 15, 2019 · Replies 1 · Nov 15, 2019

Replies: 1

Views: 2K

MHB 9.1.317 AP calculus exam multiple choice derivatives of sin wave

Nov 14, 2019 · Replies 1 · Nov 14, 2019

Replies: 1

Views: 1K

Compact summary of Fourier series equations

Nov 8, 2019 · Replies 11 · Nov 14, 2019

Replies: 11

Views: 2K

MHB Improper Integral: Definition and Evaluation

Nov 12, 2019 · Replies 8 · Nov 13, 2019

Replies: 8

Views: 1K

MHB Help with Functions - Linearization

Nov 12, 2019 · Replies 3 · Nov 12, 2019

Replies: 3

Views: 1K

MHB 10.6.2 converge or diverge? alternating series

Nov 12, 2019 · Replies 1 · Nov 12, 2019

Replies: 1

Views: 1K

MHB Dominant Terms in Calculus Limits

Nov 12, 2019 · Replies 3 · Nov 12, 2019

Replies: 3

Views: 3K

Graduate Finding eigenvalues with spectral technique: basis functions fail

Nov 10, 2019 · Replies 9 · Nov 11, 2019

Replies: 9

Views: 2K

Undergrad Is a Vector Field Equal to Zero if Its Contour Integral is Zero?

Nov 10, 2019 · Replies 11 · Nov 10, 2019

Replies: 11

Views: 2K

High School Complex number inequality question

Nov 9, 2019 · Replies 4 · Nov 9, 2019

Replies: 4

Views: 1K

MHB 11.8.4 Find the radius of convergence and interval of convergence

Nov 6, 2019 · Replies 3 · Nov 8, 2019

Replies: 3

Views: 2K

MHB 3.3.04 AP Calculus Exam 2nd derivative

Oct 24, 2019 · Replies 7 · Nov 7, 2019

Replies: 7

Views: 2K

MHB How to Find the Second Derivative with Given Equation at a Specific Point?

Nov 7, 2019 · Replies 1 · Nov 7, 2019

Replies: 1

Views: 1K

MHB 2.1.314 AP Calculus Exam a particle moves along the x-axis......

Nov 6, 2019 · Replies 1 · Nov 6, 2019

Replies: 1

Views: 2K

MHB 5.1.313 AP Calculus Exam DE on bird weight

Nov 4, 2019 · Replies 6 · Nov 6, 2019

Replies: 6

Views: 2K

MHB 4.2.8 AP calculus Exam Integration limits

Nov 5, 2019 · Replies 1 · Nov 5, 2019

Replies: 1

Views: 2K

MHB Ratio Test Determines Divergence: 11.6.1

Nov 5, 2019 · Replies 2 · Nov 5, 2019

Replies: 2

Views: 2K

Undergrad Coordinate systems parameterized by pseudo arc-length

Nov 4, 2019 · Replies 3 · Nov 5, 2019

Replies: 3

Views: 1K

MHB Solving a Quartic Polynomial with Symmetric Graph & Intercept -2

Nov 3, 2019 · Replies 6 · Nov 4, 2019

Replies: 6

Views: 1K

MHB 2.1.312 AP Calculus Exam Int of half circle

Nov 1, 2019 · Replies 5 · Nov 4, 2019

Replies: 5

Views: 2K

Undergrad How is the derivative of y(x,t) derived in quantum mechanics?

Nov 3, 2019 · Replies 1 · Nov 3, 2019

Replies: 1

Views: 1K

MHB Finding a partial differential to binomial distribution

Oct 31, 2019 · Replies 2 · Nov 1, 2019

Replies: 2

Views: 1K

MHB 11.6.8 determine convergent or divergence by Ratio Test

Oct 31, 2019 · Replies 3 · Oct 31, 2019

Replies: 3

Views: 2K

Graduate Help required to sum an infinite series in a given equation

Oct 24, 2019 · Replies 7 · Oct 29, 2019

Replies: 7

Views: 2K

MHB 9.2.2 AP Calculus Exam -- slope field for which DE

Oct 28, 2019 · Replies 2 · Oct 28, 2019

Replies: 2

Views: 1K

Graduate On uniform boundedness of the GD algorithm

Sep 22, 2019 · Replies 2 · Oct 28, 2019

Replies: 2

Views: 2K

Undergrad How to derive Non-normalized quaternion with respect to time?

Aug 26, 2019 · Replies 1 · Oct 28, 2019

Replies: 1

Views: 1K

MHB 9.2.2 AP Calculus Exam Slope Fields

Oct 27, 2019 · Replies 4 · Oct 27, 2019

Replies: 4

Views: 2K

Graduate Double Integral with Dirac Delta Function and Changing Limits

Oct 27, 2019 · Replies 32 · Oct 27, 2019

2

Replies: 32

Views: 5K

MHB 4.2.5 AP Calculus Exam int of e

Oct 25, 2019 · Replies 4 · Oct 26, 2019

Replies: 4

Views: 2K

Undergrad How Does the Dot Product of Vector Derivatives Relate to Their Original Vectors?

Oct 24, 2019 · Replies 8 · Oct 25, 2019

Replies: 8

Views: 3K

MHB Does the Comparison Test Determine Convergence or Divergence of Series?

Oct 24, 2019 · Replies 3 · Oct 24, 2019

Replies: 3

Views: 1K

Undergrad What can we learn from higher derivatives in calculus?

Oct 24, 2019 · Replies 4 · Oct 24, 2019

Replies: 4

Views: 2K

High School Correct way to write multiple argument functions

Oct 21, 2019 · Replies 30 · Oct 23, 2019

2

Replies: 30

Views: 4K

MHB 2.2.294 Euler's method word problem

Oct 21, 2019 · Replies 5 · Oct 21, 2019

Replies: 5

Views: 1K

MHB How Accurate is Euler's Method for Solving Differential Equations?

Oct 19, 2019 · Replies 1 · Oct 21, 2019

Replies: 1

Views: 1K

High School Derivative and integral of the exponential e^t

Oct 21, 2019 · Replies 2 · Oct 21, 2019

Replies: 2

Views: 2K

Undergrad Learn the Truth about Integrals of 1/x: Debunking Common Misconceptions

Oct 18, 2019 · Replies 7 · Oct 19, 2019

Replies: 7

Views: 2K

MHB 3.3.291 AP Calculus Exam Problem solve for k

Oct 18, 2019 · Replies 1 · Oct 18, 2019

Replies: 1

Views: 1K

MHB How do you find the sum of an infinite series?

Oct 16, 2019 · Replies 7 · Oct 18, 2019

Replies: 7

Views: 2K

Undergrad Questions about implicit differentiation?

Oct 17, 2019 · Replies 3 · Oct 17, 2019

Replies: 3

Views: 2K

Undergrad Testing for Divergence using the Integral Test

Oct 17, 2019 · Replies 1 · Oct 17, 2019

Replies: 1

Views: 2K

MHB 281 7.5.9 int with partail fractions

Oct 8, 2019 · Replies 5 · Oct 17, 2019

Replies: 5

Views: 2K

MHB Optimization calculus question (Difficult)

Oct 15, 2019 · Replies 4 · Oct 15, 2019

Replies: 4

Views: 3K

MHB Solve b) Using Parseval's Theorem

Oct 3, 2019 · Replies 9 · Oct 15, 2019

Replies: 9

Views: 3K

MHB Using advanced calculus for finding values

Sep 30, 2019 · Replies 2 · Oct 12, 2019

Replies: 2

Views: 1K

Undergrad Question about the quotient rule of derivatives

Sep 30, 2019 · Replies 12 · Oct 11, 2019

Replies: 12

Views: 5K

Undergrad How is a binomial expansion done?

Oct 9, 2019 · Replies 4 · Oct 10, 2019

Replies: 4

Views: 2K

Why does an open set in Riesz-Nagy's theorem decompose into intervals?

Mar 14, 2006 · Replies 1 · Oct 7, 2019

Replies: 1

Views: 5K

MHB 7.4.32 Evaluate the integral by completing the square

Oct 7, 2019 · Replies 3 · Oct 7, 2019

Replies: 3

Views: 1K

MHB How can I evaluate the integral using a trigonometric identity?

Oct 5, 2019 · Replies 5 · Oct 6, 2019

Replies: 5

Views: 2K

MHB Implicit differentiation question

Oct 4, 2019 · Replies 3 · Oct 5, 2019

Replies: 3

Views: 1K

Undergrad Swapping the order of surface and volume integrals

Oct 3, 2019 · Replies 13 · Oct 4, 2019

Replies: 13

Views: 3K

Undergrad Need help with a proof involving points on a quadratic

Oct 2, 2019 · Replies 4 · Oct 3, 2019

Replies: 4

Views: 1K

Second Derivative of Determinant of Matrix?

Dec 31, 2011 · Replies 6 · Oct 1, 2019

Replies: 6

Views: 7K

MHB Integrating Higher Powers of Tangent: A Shortcut Using Trigonometric Identities

Oct 1, 2019 · Replies 3 · Oct 1, 2019

Replies: 3

Views: 2K

MHB Converging to Delta(y-b): Solving the Limit of f_x((y-b)/a) as a Approaches 0

Sep 25, 2019 · Replies 4 · Oct 1, 2019

Replies: 4

Views: 2K

MHB Finding the Value of a Trigonometric Integral with Radical

Sep 28, 2019 · Replies 3 · Sep 30, 2019

Replies: 3

Views: 2K

Undergrad Is this Dirac delta function integral correct?

Sep 26, 2019 · Replies 4 · Sep 30, 2019

Replies: 4

Views: 2K

Undergrad Multiple integral Jacobian confusion

Sep 30, 2019 · Replies 7 · Sep 30, 2019

Replies: 7

Views: 2K

MHB 7.2.1 integrate trig with radical

Sep 27, 2019 · Replies 2 · Sep 28, 2019

Replies: 2

Views: 2K

Undergrad Recovering some math notions: Variations

Sep 27, 2019 · Replies 4 · Sep 27, 2019

Replies: 4

Views: 1K

Undergrad How Can You Calculate the First 50 Digits of the Golden Ratio in Hexadecimal?

Sep 27, 2019 · Replies 6 · Sep 27, 2019

Replies: 6

Views: 2K

Undergrad Is interchanging the order of the surface and volume integrals valid here?

Sep 26, 2019 · Replies 3 · Sep 27, 2019

Replies: 3

Views: 2K

Graduate Why Does This Integral Not Converge?

Sep 26, 2019 · Replies 1 · Sep 27, 2019

Replies: 1

Views: 1K

Graduate Is Wolfram's Answer to the Integral Problem Wrong?

Sep 26, 2019 · Replies 8 · Sep 26, 2019

Replies: 8

Views: 2K

MHB Verify that d/dx(ln x)-1/2 using theorem 7

Sep 24, 2019 · Replies 3 · Sep 25, 2019

Replies: 3

Views: 2K

MHB 2.7.263 AP calculu Exam Population growth

Sep 24, 2019 · Replies 3 · Sep 24, 2019

Replies: 3

Views: 1K

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.

Top