Calculus Forum

Graduate Can Partial Derivative Rules Fail Under Certain Conditions?

Undergrad How Can I Solve a Volume Problem Using the Cylindrical Shell Method?

Undergrad How do you derive the growth and decay formulas C=C1*r^n and C1*(1-r)^n?

Undergrad Can I multiply both sides of an equation by a function to simplify integration?

Graduate Matrix as a composite function in inverse function theorem proof

High School In Calculas I've learned that 'F means the integral of a function.

Graduate Why do we have to check by definition for the limit in the last case?

Graduate Finding th value of x and radian when volume is maximum

Undergrad Directional derivative: radial direction

High School What does the circle in an integral sign mean?

Graduate Simple/trivial question on cauchy-riemann equations

High School How do I estimate the value of a limit and determine if it exists using a graph?

Graduate Questions about generalised functions, and delta

Graduate Why is the Bromwich integral hard to evaluate numerically?

Graduate Directed Integration and the Fundamental Theorem of Calculus

Graduate Can a Neumann Series Be Proposed for the Resolvent Kernel in Iterative Methods?

Undergrad How can I solve this tough integral problem involving sqrt(x^2-1)?

Undergrad Slope of Tangent Line for y = sin(2πx) at x = 1 and x = 2

Graduate How can we obtain the coefficients of S(x) from its Taylor series?

Graduate Is the Poisson Sum Formula Equivalent to the Integral of a Function?

Undergrad Area Under Graph: Calculate (1+2^x) from 0 to 30

Undergrad Proving a circle maximizes area for a given perimeter

Graduate Is Newton's Lemma 28 a Flawed Argument Against the Area of Ovals?

Undergrad What is the Undefined Value of 1^∞?

Graduate What is the definition of S in the proof for convergence of Riemann sum?

Graduate Rewriting an integral involving an exponential

High School Why Is Calculating f(2+h) So Confusing?

Undergrad Solving an Integral with Integration by Parts

Undergrad Finding a Textbook to Learn Concepts in Calculus

Graduate How might one evaluate a contour integral like

Undergrad Showing Value "a" for Continuous Function f(x) in a Closed Interval

Undergrad How Do You Integrate sin^2(3x)cos^5(3x) dx Using Substitution?

Graduate Definite integral from 0 to 1 of : ln(x)ln(1-x)dx

Undergrad Finding Centroids: Self-Tutoring & Simple Examples

Undergrad Textbook recommendations for calculus of variations

Undergrad Solving a Calculus Problem: Charting the Limits

Graduate Flagrant error on page 293 of Apostol's Calculus and Linear Algebra vol. 1

Graduate Differentiation on banach spaces

Undergrad How can I interpolate a curve with relative min/max or roots at discrete points?

Undergrad Is ln(1+exp(x)) = x when x is a large number?

Graduate Proving the Limit of e^x as x --> 1 using Epsilon-Delta Method

High School Why Calculus is Called "The Calculus"

Undergrad Why is 1^∞ an Indeterminate Form?

Graduate Integral in quantum conductance derivation

Undergrad How to Solve Integration Problems Involving Roots?

Graduate Are the Dirac Delta and Exponential Approximations Valid for Large n?

Undergrad How to prove e^ix=cos x + i sin x

Graduate Integrating exp(-epsilon²/2) with the normal distribution

Graduate Question on the Method of Steepest Decent

Graduate Can primes be approximated by an integral in series calculations?

Undergrad Using partial derivatives to find a maximum

Graduate What does the central thm of calculus of variation says?

Undergrad What method to calculate intergration?

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Graduate Can Polynomial Sequences Be Predicted Without Knowing the Equation?

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Graduate Can You Determine the Gradient of an Unknown Function?

Undergrad Handsome calculus n00b seeks reassuring relationship with numbers.

Graduate How do vector field visualizations place vectors at points in space?

Undergrad What are line, surface, and volume integrals?

Undergrad Calculating Surface Area of a Cone with a Vertex in the XY-Plane

Graduate Finding Smallest N for Infinite Sequence: (2n)^(1/n) < 0.01

Graduate Approximation methods for complex zeros of analytic functions

Graduate How to Calculate the Maximum Volume of Overlapping Cylinders on a 3D Grid?

Graduate How can known series transformations be applied to product transformations?

Undergrad Struggling with Solving an RL Circuit Differential Equation?

Undergrad What Is the Meaning of "(f(x+h)-f(x))/h to ( f(x+h)/f(x) )^(1/h)

Undergrad How do you find the parameters for line integrals in different shapes?

Undergrad Directional Derivative and unit vectors

High School Are All Oval Shaped Cartesian Curves Limited to the Equation +/- (x^2)?

Undergrad Can z² + z + 1 = 0 have complex solutions?

Graduate Can the Z-Inverse Transform Be Computed Using the Residue Theorem?

Undergrad How can I simplify sqrt( 4t^2 + 4 + ( 1/t ) ) to (2t^2 + 1)/t?

Undergrad Mathematical series calculations

Graduate Is the Integral of Imaginary Integrations Possible in Mathematica?

Graduate Can I be Expressed in Terms of J and K for Arbitrary f,g,h?

Graduate Converse to Rouché's theorem by Challener and Rubel

Undergrad Geometrical representation of the nth derivative

High School The Reciprocal Rule: Understanding -1/x^2 and 2x^(-3)

Graduate Definition of asymptotic relation

High School Basics of Limits: Why Absolute Value?

Graduate Solve nth Derivative of cos ax with Respect to a

Graduate Is there an infinite product representation of e^(z)

Graduate Evaluation of 1+(1/3^3)+(1/5^3)+

Undergrad Why do oblique asymptotes have different slopes for different rational functions?

Undergrad How Can Approximations by Expansion Simplify Scientific Calculations?

Graduate Riemann sum of derivative (something like that)

Undergrad Integrate x^2/sqrt(4-x^2): Solution Steps

Graduate Can functions be approximated with series other than Taylor and Fourier?

Undergrad Integrating the Heaviside step function H(K - Z) from K=Z to infinity

High School What Topics Are Covered in a Typical AP Calculus AB High School Class?

Undergrad Deriving sin(x+y) and cos(x+y) with Euler's formula

Graduate Upper Darboux Integral: Not Integrable?

Undergrad Why does the power rule formula for integrals leave out the chain rule factor?

Graduate Eigenfunctions and eigenvalues of Fourier Transform?

Undergrad Can a set's boundary contain interior points?

Graduate Can Non-Differentiable Functions Affect Solving for Roots of a Function?

Graduate How is the Legendre transform defined in cases where g(p) equals 0?

Graduate Set of stationary points comparation

High School What is the Best Book for Understanding AP Calculus?

Undergrad What's the Difference Between dx*dy and a Point?