Calculus Forum

Post thread
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.
Graduate Imaginary parts of roots of unity
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Numerical Integration: Gaussian Quadrature
  • · Replies 3 ·
Replies
3
Views
4K
Undergrad Solve Problem: Can't Optimize Equations with Manual Method
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Is the Set C+Fx Closed in a Metric Space?
  • · Replies 3 ·
Replies
3
Views
4K
Graduate Vector Calculus: Question about the origin of the term 'divergence'
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Quick Qns : Convergence in Polar Coordinates
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Why Is V = 0 Ignored in Partial Derivatives?
  • · Replies 3 ·
Replies
3
Views
4K
Graduate L^1 convergence and uniform convergence
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad Where Can I Find Proofs for Vector Calculus Identities?
  • · Replies 4 ·
Replies
4
Views
10K
Undergrad Anti-derivatives and Elementary Functions
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Argument value in complex numbers in polar form.
  • · Replies 3 ·
Replies
3
Views
5K
Graduate Limit of a recursively defined sequence
  • · Replies 2 ·
Replies
2
Views
5K
Undergrad Integration of rational functions by partial fractions
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Arrow with a letter d on top of it?
  • · Replies 2 ·
Replies
2
Views
11K
Graduate Mellin Transform: Poles & Gamma Function
  • · Replies 26 ·
Replies
26
Views
6K
Undergrad What are some basic applications for Partial Derivatives?
  • · Replies 8 ·
Replies
8
Views
48K
Graduate Prove that lim gn for n→∞ exists, and find it.
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Solving for Stress on Front Axle: Angular Momentum to Force
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Question on Elementary Index Notation
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Integrating angular damping into angular velocity and rotation
  • · Replies 1 ·
Replies
1
Views
7K
Graduate Conjecturing the Limit and Finding Delta for Sinusoidal Function
  • · Replies 3 ·
Replies
3
Views
9K
Undergrad Limits, find delta given epsilon
  • · Replies 4 ·
Replies
4
Views
9K
Graduate Calculate Limit of Series: Find $\displaystyle\lim_{k\to\infty}\frac{n_k}{d_k}$
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Iterative square root? sqrt(2+sqrt(2+sqrt(
  • · Replies 6 ·
Replies
6
Views
33K
Undergrad How Can I Prove Limits Using the Squeeze Theorem?
  • · Replies 8 ·
Replies
8
Views
6K
Undergrad Show that trapezoidal rule is exact for y(t)=t and y(t)=1?
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Why can exp function in complex plane be defind as e^x(cosy+i siny)
  • · Replies 27 ·
Replies
27
Views
6K
Graduate Limsup, liminf simple question
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Compute Integer to Any Real Power Algorithm
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Conceptual problem with integration by parts.
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Fourier Transform question
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Is This Inequality Solvable Using Elementary Algebra Techniques?
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Proving Continuity of f(x) = \sqrt{x} for x>0
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad How do I find the definite integral of (a/x^2) * (1/sqrt(1-(2a/x))) with steps?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Fourier transform of Green's function
  • · Replies 3 ·
Replies
3
Views
5K
Graduate Area Sector of Hyperbola: Arcsinh & Arcosh Explained w/ Example
  • · Replies 3 ·
Replies
3
Views
5K
Undergrad How to Show f(x) is Close to L Using Epsilon-Delta Proof
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Integrate dx/(xlogx): Limits 1 to n - Result
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Derivation of Jacobian Determinant
  • · Replies 4 ·
Replies
4
Views
11K
Graduate Is it possible to sumate this series?
  • · Replies 6 ·
Replies
6
Views
2K
High School Solving Simple Limits Questions with No Calculator
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Product of multiple determinants
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Trigonometric derivatives and roots of unity
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Find delta given epsilon limits
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Is there a trick to solving this definite integral?
  • · Replies 5 ·
Replies
5
Views
6K
Graduate Is Every Cauchy Sequence in the Real Numbers Convergent?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate I don't get branch cuts in the complex plane at ALL
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Maximize F with Maxima Problem: Constraints & Prove
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Mean Value Theorem in Surface Integrals
  • · Replies 1 ·
Replies
1
Views
5K
Graduate Conditional convergence of J1(kr)k
  • · Replies 1 ·
Replies
1
Views
2K
Graduate How can you prove that a Cartesian product of compact sets is compact?
  • · Replies 2 ·
Replies
2
Views
9K
Undergrad Integral of 1/lnx: Calculate Here
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Maximization of |F|^2 with Constraints on Real Inputs
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Proving a Limit: Rigour for Univ. Profs?
  • · Replies 9 ·
Replies
9
Views
2K
High School Derivative of an imaginary number
  • · Replies 5 ·
Replies
5
Views
29K
Undergrad Programming smooth x/y acceleration change to target a moving point
  • · Replies 1 ·
Replies
1
Views
4K
Undergrad What does the term complementary interval mean?
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Is the Improper Integral \int_{-1}^1 \frac{dx}{x} Convergent?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Are these the correct cos and sin relations for the given values?
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Why Does Inverse Fourier Transform of Sinc Function Require Contour Integration?
  • · Replies 1 ·
Replies
1
Views
11K
High School Some one help.Continuous Functions.
  • · Replies 7 ·
Replies
7
Views
2K
High School Find Domain of PreCalculus Functions Algebraically
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Interal Explenation: Sec^3 to Cos Conversion
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Partial differentiation of a function
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Integral from 0 to 5 24e^-6t cos(2t) dt
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Absolutely Closed Metric Spaces.
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Question Re. Simple epsilon proofs
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Someone help. Sequence and continuous functions.
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Question REgarding Reimann integral
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad What Is the Greek Symbol Used for Differentiation in Multivariable Calculus?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Which Technology Relies on Calculus for its Creation and Functioning?
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Antiderivative as Area under Curve
  • · Replies 16 ·
Replies
16
Views
5K
Undergrad I saw somewhere triple line integrals
  • · Replies 5 ·
Replies
5
Views
5K
Graduate Can an Analytic Function Have Zeroes Approaching the Boundary of Convergence?
  • · Replies 3 ·
Replies
3
Views
3K
High School Why is equating these two symbols an error?
  • · Replies 8 ·
Replies
8
Views
3K
Graduate What Field Involves Derivatives and Integrals with Respect to Vectors?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Why is the Precise Definition of a Limit So Confusing?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Does a Taylor Series Exist for f(x)=tanh(x)/x and f(x)=ln(1+x)/x?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Prove a limit exists and evaluate it
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Integrating products of Bessel functions
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Integrating 2nd order derivative
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad How to find global/local minimums/maximums.
  • · Replies 2 ·
Replies
2
Views
2K
Graduate How Do Lagrange Multipliers Relate to Extremums of Functions?
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Hello. Needs help with disjoint cycles.
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Consider the heat equation in a radially symmetric sphere of radius
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Binomial approximation using Mellin transform
  • · Replies 8 ·
Replies
8
Views
4K
Undergrad Learn about fourier series, trigonometrical fourier series
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Maximum/mimimum of a complex function
  • · Replies 3 ·
Replies
3
Views
3K
Graduate How can I evaluate this double integral numerically?
  • · Replies 3 ·
Replies
3
Views
4K
Undergrad Why Is 1^∞ an Indeterminate Form in Limits?
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Epsilon-Delta Proof for Limit of x^2sin(1/x) as x Approaches 0
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Limit of y=((x-1)/x)^x as x approaches inf
  • · Replies 2 ·
Replies
2
Views
5K
Undergrad Integral Calculus - reduction formula/formulae
  • · Replies 2 ·
Replies
2
Views
10K
Graduate Limits of pitch and time resolution in signal analysis (FFT/SFTF)
  • · Replies 3 ·
Replies
3
Views
4K
Graduate Cylindrical vs. spherical coordinates
  • · Replies 2 ·
Replies
2
Views
6K
Undergrad Volume of a Cube: Integrating s3 vs. s^3/3
  • · Replies 2 ·
Replies
2
Views
5K
Graduate Infinite Series Comparison Test
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Equivalence of Norms in Separable Hilbert Space
  • · Replies 2 ·
Replies
2
Views
3K
Graduate How can contour integration be used to prove complex analysis identities?
  • · Replies 7 ·
Replies
7
Views
4K
Graduate Derivative of the Gamma Function
  • · Replies 5 ·
Replies
5
Views
24K