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.
Linear Analysis: Connection to Traditional Analysis
  • · Replies 1 ·
Replies
1
Views
4K
What is the Physical Significance of Curl and Div Operators in Physics?
  • · Replies 6 ·
Replies
6
Views
4K
Can high school students know calculus better than Newton?
  • · Replies 62 ·
3
Replies
62
Views
25K
Complete ALGO to solve a indefinite integral ( classroom questions )
  • · Replies 5 ·
Replies
5
Views
4K
Is There a Trick to Simplifying Integrals of Complex Numbers?
  • · Replies 2 ·
Replies
2
Views
7K
Tricky trig integral (calc 1/2 level)
  • · Replies 7 ·
Replies
7
Views
4K
Solving a Logistic Model - Population Data
  • · Replies 1 ·
Replies
1
Views
6K
Undergrad project in calculus III
  • · Replies 1 ·
Replies
1
Views
4K
Why Are Epsilon-Delta Proofs Important?
  • · Replies 15 ·
Replies
15
Views
9K
Can saomebody explain me whats differential mean?
  • · Replies 8 ·
Replies
8
Views
3K
Can a function's continuity be described by a uniform value of delta?
  • · Replies 7 ·
Replies
7
Views
4K
Is 1 divided by infinity equal to zero?
  • · Replies 32 ·
2
Replies
32
Views
6K
Jacobian in change of coordinates
  • · Replies 3 ·
Replies
3
Views
8K
What is the inner product of two piecewise-defined functions?
  • · Replies 5 ·
Replies
5
Views
3K
Upper function and lebesgue integrals
  • · Replies 1 ·
Replies
1
Views
4K
Can I Trust Blind Substitutions in Integration?
  • · Replies 3 ·
Replies
3
Views
2K
Understanding First-Year Calculus Concepts: Integrand and Antiderivative
  • · Replies 3 ·
Replies
3
Views
3K
Proving 2^n via Induction: 1+n!/1!+n(n-1)!/2!+...”
  • · Replies 2 ·
Replies
2
Views
2K
Integral of x^m/(x^n+a^n)^p: Contour Integration
  • · Replies 8 ·
Replies
8
Views
4K
Counting Integer Roots of a Polynomial Using Sturm Sequences
  • · Replies 4 ·
Replies
4
Views
6K
Metrization Theorem: Understanding Munkres' Proof
  • · Replies 12 ·
Replies
12
Views
3K
One integral (square root and gaussian peak)
  • · Replies 13 ·
Replies
13
Views
7K
Motion on a Curve: Velocity Vector Always Tangent
  • · Replies 5 ·
Replies
5
Views
3K
Is the Derivative w.r.t. a Function Different from the Classic Chain Rule?
  • · Replies 9 ·
Replies
9
Views
13K
What does it mean for a function to be N-times differentiable?
  • · Replies 6 ·
Replies
6
Views
4K
Square integrable/vanish at infinity?
  • · Replies 1 ·
Replies
1
Views
4K
Differentiability of the mean value
  • · Replies 1 ·
Replies
1
Views
2K
Do you leave radicals in the denominator?
  • · Replies 2 ·
Replies
2
Views
3K
How do I solve an implicit differentiation problem with two different answers?
  • · Replies 18 ·
Replies
18
Views
5K
What is the meaning of a line integral and how is it calculated?
  • · Replies 8 ·
Replies
8
Views
5K
Fourier Coefficients: A_n & B_n Explained
  • · Replies 1 ·
Replies
1
Views
4K
Changing variables in integrals?
  • · Replies 3 ·
Replies
3
Views
3K
Limits - Please provide some good reading materials
  • · Replies 3 ·
Replies
3
Views
2K
Understanding Cardinal Splines - Formula Explained
  • · Replies 1 ·
Replies
1
Views
7K
What is the integration process for this integral?
  • · Replies 3 ·
Replies
3
Views
2K
Parametric equation of a line and a plane
  • · Replies 1 ·
Replies
1
Views
24K
What Happens at the Cusp on the Original Graph When Viewing the Derivative?
  • · Replies 2 ·
Replies
2
Views
10K
What Topics Are Covered in Calculus III?
  • · Replies 9 ·
Replies
9
Views
4K
Finding bend(maxima/minima) in plotted curve
  • · Replies 14 ·
Replies
14
Views
4K
Understanding Functional Spaces in Mathematics
  • · Replies 2 ·
Replies
2
Views
3K
I on solving ∫e^(z^2)* fn(z) dz, where fn(z) =. .
  • · Replies 12 ·
Replies
12
Views
4K
Integrate x^3/(x^5-1): Solutions
  • · Replies 3 ·
Replies
3
Views
3K
Monotonic bounded sequence theorem
  • · Replies 2 ·
Replies
2
Views
9K
Is There a Simpler Proof for the Vector Distance Formula from a Point to a Line?
  • · Replies 2 ·
Replies
2
Views
28K
Is there a way to determine if a polynomial has only real roots?
  • · Replies 1 ·
Replies
1
Views
2K
Can Borel resummation be applied to integrals ?
  • · Replies 1 ·
Replies
1
Views
2K
Understanding the Exact Differential Notation in Multivariable Calculus
  • · Replies 4 ·
Replies
4
Views
3K
Where Can You Find Information on Sets with Mass Zero?
  • · Replies 7 ·
Replies
7
Views
2K
What is the physical significance of the divergence?
  • · Replies 3 ·
Replies
3
Views
14K
How Should Absolute Value Be Handled in Trigonometric Integrals?
  • · Replies 3 ·
Replies
3
Views
13K
How Can We Approximate the n-th Derivative Using the n-th Difference?
  • · Replies 1 ·
Replies
1
Views
2K
Why can sqrt(1+x) be approximated by 1+x/2 for small x?
  • · Replies 5 ·
Replies
5
Views
83K
L Hospital Rule Explained: Origins & Meaning
  • · Replies 4 ·
Replies
4
Views
3K
Definition of limit n continuity
  • · Replies 4 ·
Replies
4
Views
6K
Continuous functions on Munkres's book
  • · Replies 1 ·
Replies
1
Views
2K
How Do You Find the Closest Point on a Surface Using Lagrange Multipliers?
  • · Replies 3 ·
Replies
3
Views
3K
Max-Min Problem: Finding Max Length Horizontal Bar Around 90 Degree Corner
  • · Replies 13 ·
Replies
13
Views
4K
Defining the Product of Linear Functionals: Is It Possible?
  • · Replies 5 ·
Replies
5
Views
3K
Understanding the False Position Method and Its Iterations
  • · Replies 2 ·
Replies
2
Views
4K
How Can You Prove If Two Planes Are Perpendicular Analytically?
  • · Replies 2 ·
Replies
2
Views
12K
How Can I Prove the Reciprocal Derivative Identity?
  • · Replies 2 ·
Replies
2
Views
7K
Calculus, Stewart - Calculus both Single & Multivariable?
  • · Replies 3 ·
Replies
3
Views
8K
Infinite dimensional vectorial (dot) product)
  • · Replies 1 ·
Replies
1
Views
3K
Help understanding proof of isoperimetric inequality
  • · Replies 4 ·
Replies
4
Views
6K
Is the Quality of Apostol International Edition Books Comparable to US Versions?
  • · Replies 3 ·
Replies
3
Views
6K
Is Boundedness a Necessity for Double Integral Proofs?
  • · Replies 2 ·
Replies
2
Views
3K
Fourier transform of distributions.
  • · Replies 3 ·
Replies
3
Views
2K
Is Integral Equality Paradox Possible in Mathematics?
  • · Replies 12 ·
Replies
12
Views
3K
Can You Calculate the Derivative of a Function that is a Sum of n Terms?
  • · Replies 1 ·
Replies
1
Views
3K
How can Newton's method be used to solve exponential equations iteratively?
  • · Replies 2 ·
Replies
2
Views
3K
The significance of orthogonal relationships
  • · Replies 5 ·
Replies
5
Views
5K
What does it mean when critical points have non-real answers?
  • · Replies 1 ·
Replies
1
Views
2K
Finding Shortest Paths on Surfaces
  • · Replies 21 ·
Replies
21
Views
7K
Solve Integral: ln x tan⁻¹⁴ x / 1 + x²
  • · Replies 22 ·
Replies
22
Views
4K
Derivatives in my calculus class
  • · Replies 6 ·
Replies
6
Views
2K
Definitions of Fractional derivative
  • · Replies 3 ·
Replies
3
Views
3K
Can e be accurately calculated using the limit definition?
  • · Replies 5 ·
Replies
5
Views
25K
Finding the Orthogonal Projection of a Vector onto Another Vector
  • · Replies 3 ·
Replies
3
Views
16K
Notation, i.e. making your post look like math
  • · Replies 9 ·
Replies
9
Views
3K
Integral over 4D Metrics: Volume Element?
  • · Replies 1 ·
Replies
1
Views
2K
What is the underlying concept behind this non-existent function problem?
  • · Replies 6 ·
Replies
6
Views
2K
Finding Imaginary Roots for X2 –3X +C
  • · Replies 2 ·
Replies
2
Views
2K
Can a Double Integral be Simplified Using a Substitution of Polar Coordinates?
  • · Replies 2 ·
Replies
2
Views
3K
Generalizing Functional Integration for Piecewise-Smooth Manifolds
  • · Replies 2 ·
Replies
2
Views
2K
How Do Linear Approximations Differ from Tangent Lines in Calculus?
  • · Replies 1 ·
Replies
1
Views
2K
How Do You Sketch Level Curves for f(x,y)=3-y-x^2 at k=0, 2, 4?
  • · Replies 4 ·
Replies
4
Views
3K
Integral as Antiderivative: A Mathematical Proof
  • · Replies 17 ·
Replies
17
Views
3K
Exploring the Product Rule: Why Does It "Go Away"?
  • · Replies 11 ·
Replies
11
Views
4K
Volume of Revolution: Intuitive Explanation
  • · Replies 7 ·
Replies
7
Views
4K
Find Length of r(t) on [0,3]: Sketching the Plane Curve in xy-Plane
  • · Replies 2 ·
Replies
2
Views
4K
Find the Four 2nd Partial Derivatives of f(x,y)
  • · Replies 2 ·
Replies
2
Views
3K
Dot product and the law of cosines
  • · Replies 11 ·
Replies
11
Views
9K
If the product of n numbers is 1, their sum is >= n
  • · Replies 5 ·
Replies
5
Views
6K
What is Functional Derivation and How is it Used to Solve Complex Problems?
  • · Replies 1 ·
Replies
1
Views
3K
Need help, Integration of irrationals.
  • · Replies 11 ·
Replies
11
Views
3K
Nowhere differentiable, continuous
  • · Replies 2 ·
Replies
2
Views
3K
Integration technique: Multiplication by a form of 1.
  • · Replies 2 ·
Replies
2
Views
14K
I am confused about differentials
  • · Replies 13 ·
Replies
13
Views
5K
Infinite Sequences and Integrals
  • · Replies 6 ·
Replies
6
Views
4K
Vector field uniquely determined by rot/div
  • · Replies 9 ·
Replies
9
Views
6K