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.
Proving the Limit of e^x as x --> 1 using Epsilon-Delta Method
  • · Replies 9 ·
Replies
9
Views
27K
Why Calculus is Called "The Calculus"
  • · Replies 20 ·
Replies
20
Views
6K
Why is 1^∞ an Indeterminate Form?
  • · Replies 5 ·
Replies
5
Views
3K
Need to help to solve an integral from quantum conductance
  • · Replies 3 ·
Replies
3
Views
3K
How to Solve Integration Problems Involving Roots?
  • · Replies 4 ·
Replies
4
Views
19K
Are the Dirac Delta and Exponential Approximations Valid for Large n?
  • · Replies 1 ·
Replies
1
Views
10K
Help with Integral - Solve 1/Sqrt(2*Pi) x Integral of exp^(-1/2*epsilon^2)
  • · Replies 2 ·
Replies
2
Views
2K
Question on the Method of Steepest Decent
  • · Replies 2 ·
Replies
2
Views
5K
Can primes be approximated by an integral in series calculations?
  • · Replies 10 ·
Replies
10
Views
3K
Using partial derivatives to find a maximum
  • · Replies 2 ·
Replies
2
Views
9K
What does the central thm of calculus of variation says?
  • · Replies 6 ·
Replies
6
Views
2K
What method to calculate intergration?
  • · Replies 4 ·
Replies
4
Views
2K
  • Poll Poll
Can Polynomial Sequences Be Predicted Without Knowing the Equation?
  • · Replies 4 ·
Replies
4
Views
9K
  • Poll Poll
Can You Determine the Gradient of an Unknown Function?
  • · Replies 31 ·
2
Replies
31
Views
7K
Handsome calculus n00b seeks reassuring relationship with numbers.
  • · Replies 7 ·
Replies
7
Views
3K
Understanding Vector Calculus: Intuition, Equations, and Applications
  • · Replies 14 ·
Replies
14
Views
4K
What are line, surface, and volume integrals?
  • · Replies 12 ·
Replies
12
Views
7K
Calculating Surface Area of a Cone with a Vertex in the XY-Plane
  • · Replies 3 ·
Replies
3
Views
5K
Finding Smallest N for Infinite Sequence: (2n)^(1/n) < 0.01
  • · Replies 4 ·
Replies
4
Views
2K
Does anyone know any Approximation methods to find complex zeros?
  • · Replies 7 ·
Replies
7
Views
4K
How to Calculate the Maximum Volume of Overlapping Cylinders on a 3D Grid?
  • · Replies 1 ·
Replies
1
Views
2K
How can known series transformations be applied to product transformations?
  • · Replies 2 ·
Replies
2
Views
2K
Struggling with Solving an RL Circuit Differential Equation?
  • · Replies 4 ·
Replies
4
Views
17K
What Is the Meaning of "(f(x+h)-f(x))/h to ( f(x+h)/f(x) )^(1/h)
  • · Replies 3 ·
Replies
3
Views
2K
How do you find the parameters for line integrals in different shapes?
  • · Replies 3 ·
Replies
3
Views
3K
Directional Derivative and unit vectors
  • · Replies 4 ·
Replies
4
Views
12K
Are All Oval Shaped Cartesian Curves Limited to the Equation +/- (x^2)?
  • · Replies 1 ·
Replies
1
Views
3K
Complex Solutions to Quadratic Equations: Am I Right or Did I Mess Up?
  • · Replies 8 ·
Replies
8
Views
3K
Can the Z-Inverse Transform Be Computed Using the Residue Theorem?
  • · Replies 2 ·
Replies
2
Views
3K
Is the Integral of Imaginary Integrations Possible in Mathematica?
  • · Replies 5 ·
Replies
5
Views
2K
Can I be Expressed in Terms of J and K for Arbitrary f,g,h?
  • · Replies 2 ·
Replies
2
Views
2K
Is anyone familiar with Converse to Rouche's Theorem?
  • · Replies 9 ·
Replies
9
Views
4K
Geometrical representation of the nth derivative
  • · Replies 4 ·
Replies
4
Views
6K
The Reciprocal Rule: Understanding -1/x^2 and 2x^(-3)
  • · Replies 3 ·
Replies
3
Views
2K
Basics of Limits: Why Absolute Value?
  • · Replies 4 ·
Replies
4
Views
4K
Solve nth Derivative of cos ax with Respect to a
  • · Replies 13 ·
Replies
13
Views
4K
Is there an infinite product representation of e^(z)
  • · Replies 13 ·
Replies
13
Views
7K
Riemann sum of derivative (something like that)
  • · Replies 4 ·
Replies
4
Views
2K
Integrate x^2/sqrt(4-x^2): Solution Steps
  • · Replies 2 ·
Replies
2
Views
2K
Help with integrating step function
  • · Replies 14 ·
Replies
14
Views
7K
What Topics Are Covered in a Typical AP Calculus AB High School Class?
  • · Replies 8 ·
Replies
8
Views
3K
Upper Darboux Integral: Not Integrable?
  • · Replies 2 ·
Replies
2
Views
2K
Eigenfunctions and eigenvalues of Fourier Transform?
  • · Replies 4 ·
Replies
4
Views
7K
Boundary Questions: Can a Set Include Interior Points?
  • · Replies 11 ·
Replies
11
Views
6K
Can Non-Differentiable Functions Affect Solving for Roots of a Function?
  • · Replies 5 ·
Replies
5
Views
7K
How is the Legendre transform defined in cases where g(p) equals 0?
  • · Replies 2 ·
Replies
2
Views
3K
Set of stationary points comparation
  • · Replies 15 ·
Replies
15
Views
3K
What is the Best Book for Understanding AP Calculus?
  • · Replies 7 ·
Replies
7
Views
21K
What's the Difference Between dx*dy and a Point?
  • · Replies 10 ·
Replies
10
Views
2K
Is the Limit at x=0 of a Reflected Symmetric Function Negative Infinity?
  • · Replies 7 ·
Replies
7
Views
3K
Surface w/ max volume and min surface area
  • · Replies 13 ·
Replies
13
Views
22K
The annoying old 0.999 vs 1, hopefully with a twist
  • · Replies 9 ·
Replies
9
Views
5K
Is my proof for the boundedness of the set of accumulation points correct?
  • · Replies 18 ·
Replies
18
Views
3K
What function satisfies this Fourier series integral?
  • · Replies 4 ·
Replies
4
Views
2K
Double Integrals - Volume vs. Area
  • · Replies 2 ·
Replies
2
Views
9K
Is the operator $(\vec A \cdot \nabla)$ well-defined in curvilinear coordinates?
  • · Replies 10 ·
Replies
10
Views
5K
What is the difference between double and surface integrals?
  • · Replies 3 ·
Replies
3
Views
5K
Showing Alternative Methods for Solving Problems
  • · Replies 7 ·
Replies
7
Views
2K
Iterated trigonometric differentiation
  • · Replies 3 ·
Replies
3
Views
2K
Can All Functions Be Explicitly Inverted?
  • · Replies 3 ·
Replies
3
Views
3K
Why can,t we multiply two distributions?
  • · Replies 5 ·
Replies
5
Views
6K
What is the integral of e and how does it relate to acceleration and velocity?
  • · Replies 4 ·
Replies
4
Views
100K
How to Solve the Integral of e^x ln(x) dx?
  • · Replies 9 ·
Replies
9
Views
2K
Can Integrals Ever Blow Up and What Does That Mean?
  • · Replies 10 ·
Replies
10
Views
4K
What is the practical use of calculus in various fields?
  • · Replies 3 ·
Replies
3
Views
4K
Is the conjugate of an integral the integral of the conjugate in L2 space?
  • · Replies 2 ·
Replies
2
Views
10K
How to Solve Vector Calculus Equations Using Lagrange's Formula?
  • · Replies 3 ·
Replies
3
Views
2K
How Can One Prove a Function Lacks an Elementary Antiderivative?
  • · Replies 3 ·
Replies
3
Views
3K
Can You Prove the Unseen? A Challenge in Complex Analysis
  • · Replies 4 ·
Replies
4
Views
2K
Limit of Integral: x $\rightarrow$ 0, $\int{\sin{t^2}}dt$ 0 to 3
  • · Replies 3 ·
Replies
3
Views
3K
If h is L-integrable and f + g = h, then f and g also are
  • · Replies 12 ·
Replies
12
Views
4K
Evaluating multi-dimensional integrals
  • · Replies 13 ·
Replies
13
Views
4K
Understanding the Derivative of a Dot Product: A Question on the Product Rule
  • · Replies 4 ·
Replies
4
Views
17K
Probability problem - Test Cheaters
  • · Replies 10 ·
Replies
10
Views
3K
Analysis Problem: Find Solution in 1 Week
  • · Replies 7 ·
Replies
7
Views
2K
Can the Integration of x^x be Solved Conventionally?
  • · Replies 3 ·
Replies
3
Views
2K
Size of the division of a segment in infinite intervals
  • · Replies 19 ·
Replies
19
Views
3K
How can we translate a lemma from Riemann integration to Lebesgue integration?
  • · Replies 7 ·
Replies
7
Views
5K
Can Two Distinct Functions Share Magnitude and Fourier Magnitude?
  • · Replies 2 ·
Replies
2
Views
3K
Calculus and pattern recognition
  • · Replies 19 ·
Replies
19
Views
7K
What are the Applications of Complex Analysis in Calculus?
  • · Replies 6 ·
Replies
6
Views
7K
How Do You Find the Double Derivative of This Function?
  • · Replies 8 ·
Replies
8
Views
9K
How to Calculate the Index of a Line in a Complex Integral?
  • · Replies 1 ·
Replies
1
Views
2K
Real roots of Fourier transform
  • · Replies 1 ·
Replies
1
Views
2K
Any non-elementary gamma fcn formulas?
  • · Replies 3 ·
Replies
3
Views
2K
What Is the Normal Vector in Stoke's and Gauss' Theorems?
  • · Replies 11 ·
Replies
11
Views
14K
Chasing Person B: Describing the Curve Mathematically
  • · Replies 6 ·
Replies
6
Views
4K
What Does the Big F Represent in Equations?
  • · Replies 10 ·
Replies
10
Views
42K
How Do You Determine Which Values to Use in Linear Approximation?
  • · Replies 2 ·
Replies
2
Views
9K
Why Are Open Sets Preferred in Defining Domains in Topology?
  • · Replies 6 ·
Replies
6
Views
6K
How Do You Verify a Linear Fractional Transformation in Complex Analysis?
  • · Replies 6 ·
Replies
6
Views
4K
Calculating Mass of Oil in Cylindrical Core
  • · Replies 4 ·
Replies
4
Views
4K
That is the integral that I would use to find the volume of the solid.
  • · Replies 2 ·
Replies
2
Views
8K
Understanding Euler's Formula: The Geometric Connection to e
  • · Replies 6 ·
Replies
6
Views
3K
How do I find the center of mass using polar coordinates?
  • · Replies 1 ·
Replies
1
Views
2K
How Do I Calculate Arc Length for f(x)=x^3?
  • · Replies 3 ·
Replies
3
Views
2K
How Should You Approach Solving Basic Trigonometric Limits?
  • · Replies 11 ·
Replies
11
Views
3K
How is the Formula for Torsion Derived?
  • · Replies 1 ·
Replies
1
Views
6K
How Do You Solve Integration Problems Using Partial Fractions?
  • · Replies 1 ·
Replies
1
Views
2K
Is the Set {z^2: z = x+iy, x>0, y>0} Open or Closed?
  • · Replies 8 ·
Replies
8
Views
2K