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.
High School Parabolic Function: Graph of y=ax^n
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Using calculus to model movement of an object
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad How many intersections do 2^x and x^12 have in the x-y plane?
  • · Replies 7 ·
Replies
7
Views
3K
Graduate Limit Inferior and Limit Superior
  • · Replies 4 ·
Replies
4
Views
5K
Undergrad Why is the deivative 2ln(x) is the same as that of ln(x^2)
  • · Replies 10 ·
Replies
10
Views
21K
Graduate Sampling of a gaussian distribution
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Why is the function abs(x) not differentiable at x=0?
  • · Replies 5 ·
Replies
5
Views
4K
Undergrad Why Does Rewriting a Function Change the Partial Derivative Outcome?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Finding the Integral of |x|: Break it Up and See What Happens
  • · Replies 27 ·
Replies
27
Views
7K
Graduate Defining and Understanding Continuous Unit Normal Fields on Orientable Surfaces
  • · Replies 2 ·
Replies
2
Views
2K
Graduate What Real Analysis book do you suggest?
  • · Replies 2 ·
Replies
2
Views
4K
Undergrad Solving integration by parts using derivatives vs differentials?
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad How Do You Solve This First Order ODE with Given Condition?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Changing the limits on Integrals
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Fractional Calculus: Integration & Differentiation Explained
  • · Replies 5 ·
Replies
5
Views
4K
Graduate Understanding Orientated Manifolds
  • · Replies 5 ·
Replies
5
Views
3K
Graduate An Error in Spivak's Calculus?
  • · Replies 15 ·
Replies
15
Views
5K
Graduate Confusion on chain rule substitution
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Is this integral possible to solve
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad How Do You Apply the Chain Rule to 2/x with Respect to Time?
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Is It Possible to Construct Non-Measurable Sets Without the Axiom of Choice?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Simple complex analysis question
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Harmonic Functions: Proving Constantness
  • · Replies 7 ·
Replies
7
Views
3K
Graduate Fractional Calculus on Sinusoidal functions
  • · Replies 13 ·
Replies
13
Views
7K
Graduate Showing that a function is zero a.e.
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Properties of Summations and Integrals question
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Densely defined linear operators on Hilbert space and their ranges
  • · Replies 5 ·
Replies
5
Views
4K
Graduate Relationship between Fourier and Mellin transforms
  • · Replies 3 ·
Replies
3
Views
4K
Undergrad Questions about double and triple integrals
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Understanding the integral of 1/(1+x^2)
  • · Replies 9 ·
Replies
9
Views
35K
Graduate Question about the differentiability of a function of more than one variable
  • · Replies 15 ·
Replies
15
Views
4K
Graduate Is the following true about sups and infs?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Which Root-Finding Method Should I Use for an Oscillatory Function?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Partial derivative equals zero means it is constant?
  • · Replies 2 ·
Replies
2
Views
19K
Graduate In a paper says that the limit when [tex]\alpha \to 0[/tex] with [tex]
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Is There a Discrepancy in Matrix Trace Derivative Rules?
  • · Replies 1 ·
Replies
1
Views
3K
Graduate How to Solve Optimization Problems with Multiple Variables and Constraints?
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Is x^2 a Removable Discontinuity?
  • · Replies 12 ·
Replies
12
Views
11K
Graduate Inverse Fourier Transform of a function
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Cauchy-Riemann Equations - Complex Analysis
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Are Orthogonal and Parallel Curves in Polar Coordinates Useful?
  • · Replies 5 ·
Replies
5
Views
5K
Undergrad Where can I find a full proof of green theorem?
  • · Replies 5 ·
Replies
5
Views
4K
Graduate How is the theorem of Stoke's proved for closed submanifolds without boundaries?
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Integrate by parts the d'alembertian of a 4-variable function
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Fourier Transform Help ( f(x) = 1 )
  • · Replies 5 ·
Replies
5
Views
22K
Graduate Confusing result about the spectrum of compact operators
  • · Replies 1 ·
Replies
1
Views
2K
Graduate How to Express the Product of Two Legendre Polynomials?
  • · Replies 1 ·
Replies
1
Views
5K
Graduate How to calculate the order of an infinitesimal
  • · Replies 3 ·
Replies
3
Views
6K
Graduate Second derivative test when Hessian is Positive Semi-Definite
  • · Replies 3 ·
Replies
3
Views
14K
Graduate What is the Meaning of dy/dx in Nonstandard Calculus?
  • · Replies 5 ·
Replies
5
Views
5K
Graduate Closed sets in Cantor Space that are not Clopen
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Restrictions of compact operators
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad How is Epsilon Defined in the Proof of the Chain Rule in James Stewart Calculus?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Complex contour integral, which one do I use?
  • · Replies 28 ·
Replies
28
Views
7K
Graduate A function f that is not Riemann integrable but |f| is Riemann integrable?
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Integral/ electrostatic difficulty
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Proof of the Chain Rule: An Elegant and Simple Approach
  • · Replies 25 ·
Replies
25
Views
8K
Graduate Calculating Higher Order Derivatives of a Complex Function
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Is the Derivative of Arctangent Equal to 1/x?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad How did the instantaneous speed pop out of this?
  • · Replies 22 ·
Replies
22
Views
6K
Graduate What is the limit of the sequence gn and its relation to \sqrt5?
  • · Replies 7 ·
Replies
7
Views
2K
Graduate Intuitive Explanation of What a p norm is, for any arbitrary p>0
  • · Replies 1 ·
Replies
1
Views
4K
Undergrad How is the expansion of functions used in practical applications?
  • · Replies 8 ·
Replies
8
Views
3K
Graduate What Makes \(\mathbb{H}^k\) Essential in Defining Manifolds?
  • · Replies 9 ·
Replies
9
Views
4K
Graduate Is the Supremum Proof of 0.999... = 1 Flawed?
  • · Replies 19 ·
Replies
19
Views
6K
Undergrad Derivative and integral of e^anything
  • · Replies 9 ·
Replies
9
Views
15K
Graduate Deriving Sphere Volume using Spherical Coordinates: Why 0°-360°?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate May I know the answer for this with respect to
  • · Replies 8 ·
Replies
8
Views
3K
Graduate Remainder estimate for product series
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Confusing definition of resolvent set
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Ask for help with Divergence in Derive 6
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad How Do I Visualize Complex Zeros of a Quadratic Equation?
  • · Replies 13 ·
Replies
13
Views
4K
Graduate Optimization problems involving non-compact domains
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Continuous, Onto Function: (0,1)x(0,1)->R^2
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad What Went Wrong in My Integration by Parts?
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Integrating Complex Exponentials
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Bounded sequences and convergent subsequences in metric spaces
  • · Replies 5 ·
Replies
5
Views
5K
Graduate Functions in L1 that are not in L2
  • · Replies 16 ·
Replies
16
Views
44K
Graduate Is this derivation of Euler's formula correct?
  • · Replies 3 ·
Replies
3
Views
3K
Graduate What is the boundary of the rational numbers?
  • · Replies 5 ·
Replies
5
Views
9K
Graduate L^p Spaces and Convergence of Functions
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Real Analysis / Advanced Calc Puzzler
  • · Replies 13 ·
Replies
13
Views
3K
Undergrad Can Riemann sums accurately calculate the area under a curve?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Addition/Multiplication for Dedekind cuts?
  • · Replies 5 ·
Replies
5
Views
11K
Graduate Infinite Series Doubt: Last Step Explained
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad How do I solve tricky integration questions for my upcoming exam?
  • · Replies 1 ·
Replies
1
Views
2K
High School Fundamental Theorem of Calc, Part 1
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Arrangement of shapes in an area
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Compact operators on normed spaces
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Limits, yes another limits thread.
  • · Replies 25 ·
Replies
25
Views
9K
Graduate Does the Mean Value of a Function Tend to Zero as T Increases to Infinity?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Partial differentiation when the variable of integration is different
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Are You Ready to Challenge Your Integral Solving Skills?
  • · Replies 271 ·
10
Replies
271
Views
61K
Graduate Bounding the L-Infty Norm of a Diffble Fn
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad How Can You Use the Squeeze Theorem with Non-Trig Functions?
  • · Replies 2 ·
Replies
2
Views
4K
Graduate How to Invert a Rapidly Decaying Function Without Poles?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate How do I solve non-linear integration using chi-square and uniform distribution?
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad What do you consider the best Calculus workbooks?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate How Should I Prepare for Math Camp in Economics?
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Difference between Tangent Plane and Linearization
  • · Replies 5 ·
Replies
5
Views
13K