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 Is the Sup Metric Used to Minimize Writing d_infinity in C[0,1]?
  • · Replies 4 ·
Replies
4
Views
3K
Graduate What's Wrong with My Derivation of the Moment of Inertia for a Hollow Sphere?
  • · Replies 8 ·
Replies
8
Views
8K
Undergrad Calculus/Real Analysis test links
  • · Replies 2 ·
Replies
2
Views
3K
Graduate What Is the Sup Metric in C[0,1]?
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Understanding Branch Points for (1-z^3)^{1/2}
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad R^2 -> R^2 transformation of unit circle into square.
  • · Replies 3 ·
Replies
3
Views
6K
Apostol 1st edition vs. 2nd edition
  • · Replies 23 ·
Replies
23
Views
12K
Undergrad Example a function that is continuous at every point but not derivable
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad What is the formula for calculating approximate costs using multiple variables?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Finding dV/dt in V=4*L^3 at t=0.1s
  • · Replies 10 ·
Replies
10
Views
3K
Undergrad Cylindrical shell and cross-section volume concept question
  • · Replies 1 ·
Replies
1
Views
4K
High School What is the formula for finding the sum of a Geometric Series?
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Dividing a Circle into Equal Areas: A Mathematical Approach
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Proof of the method of lagrange multipliers
  • · Replies 13 ·
Replies
13
Views
12K
Undergrad Complex fraction as a ratio of sines?
  • · Replies 10 ·
Replies
10
Views
5K
Graduate Showing A={r in Q: r^3<2} is a Dedekind Cut
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Understanding Chain Rule: Differentiating P(x, y) and S(x, y)
  • · Replies 2 ·
Replies
2
Views
2K
Graduate How to prove Carrier's rule for divergent series?
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Evaluating The Integrator: 1/(x^2+a^2)(x^2+y^2+a^2)^(1/2)
  • · Replies 2 ·
Replies
2
Views
4K
Graduate Prove Riemann Hypothesis: High School Student Guide
  • · Replies 6 ·
Replies
6
Views
3K
Graduate What is the TOPOLOGICAL DIMENSION of?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Why is L'Hopital's rule not preferred for solving limits?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Using the derivative of arcsine to solve for x
  • · Replies 4 ·
Replies
4
Views
5K
Undergrad What is Implicit Differentiation and How is it Related to the Chain Rule?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Calculus of variations question
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Infinte series sum(n*(1/2)^n,n,k,infty)?
  • · Replies 13 ·
Replies
13
Views
36K
Undergrad Examples of taking limits of intervals
  • · Replies 4 ·
Replies
4
Views
3K
High School Understanding 0/0: Infinity, 0, and 1
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad Triangle Inequality: 2 Ways to Write It?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate How can the change of variables be used to prove these integrals are equal?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Typo in spivak's calculus on manifolds?
  • · Replies 2 ·
Replies
2
Views
4K
Graduate Understanding Arc Length and Line Integrals for Surface Area Calculation
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Multivariable calculus/analysis problem
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Solving Parabola: 2 Points, 0 & ∞ Slope
  • · Replies 16 ·
Replies
16
Views
5K
Undergrad Find lim (-1)^[x] x->2 [x] is the greatest integer function
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad Calc Change of Var: Non-Graphical Limits of Integration
  • · Replies 11 ·
Replies
11
Views
4K
Graduate What is the Limit of (A^n + B^n)^(1/n) as n Approaches Infinity?
  • · Replies 8 ·
Replies
8
Views
14K
Undergrad Any proof for the definition of the definite integral
  • · Replies 51 ·
2
Replies
51
Views
15K
Undergrad Why Can We Swap Variables When Finding Inverse Functions?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Can anyone clarify the following points regarding calculus. Please
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Defining Analyticity at Infinity: How Do You Define and Calculate It?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Why Doesn't the Integral of cos(x)sin(x) Equal (1/2)sin(2x)?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Constrained optimization troubles
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Understanding Hyperbolic Functions: Problem & Answer Explained
  • · Replies 2 ·
Replies
2
Views
2K
High School How Do You Visualize the Graph of x + y + z = 2?
  • · Replies 3 ·
Replies
3
Views
9K
Undergrad Implicit 'higher' differentiation
  • · Replies 2 ·
Replies
2
Views
5K
Undergrad Find Volume of Region: Tetrahedron Bounded by Coordinate Planes & Plane
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Quadratic lower/upper bound of a function
  • · Replies 1 ·
Replies
1
Views
6K
Graduate Conformal Mapping (unit circle => ellipse)
  • · Replies 1 ·
Replies
1
Views
20K
Graduate Can the 0.5 constant in the asymptote of sqrt(x*(x-1)) be found?
  • · Replies 2 ·
Replies
2
Views
6K
Undergrad What is Euler's Criterion in plain simplified english
  • · Replies 5 ·
Replies
5
Views
8K
Graduate Question on linear combinations of sines and cosine (complex analysis)
  • · Replies 3 ·
Replies
3
Views
4K
Graduate The Spectral Theorem for Unbounded Operators in Quantum Mechanics
  • · Replies 2 ·
Replies
2
Views
2K
Graduate How to Calculate the Gradient of a Separation Vector?
  • · Replies 4 ·
Replies
4
Views
18K
Undergrad Find lim (x^2n - 1)/(x^2n + 1) x->infinity->
  • · Replies 7 ·
Replies
7
Views
6K
Undergrad The existence of like factors in num/denom if in indeterminate form?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Proving the Identity Theorem for Analytic Functions on Open Strips
  • · Replies 10 ·
Replies
10
Views
3K
Undergrad What is the Epsilon-Delta Definition of a Limit and How Does It Work?
  • · Replies 39 ·
2
Replies
39
Views
16K
Undergrad Double integrals + Change of variables
  • · Replies 8 ·
Replies
8
Views
6K
Graduate Resummation of divergent integrals.
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Contour integral with delta function
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Can I Simplify This Trig Integral Using u Substitution?
  • · Replies 10 ·
Replies
10
Views
3K
Graduate The definition for limit in analysis
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Changing cartesian integral to polar integral
  • · Replies 1 ·
Replies
1
Views
11K
Undergrad How to Solve K'(T) = k(M-K(t)) Using Given Values?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Why Does Apostol Include S Subset A in His Theorem on Set Complements?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Find Answer for Gradient Question Starting at (3,2)
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Chain rule with functional derivative
  • · Replies 6 ·
Replies
6
Views
4K
High School How do I solve for arc length?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Moment of inertia and Center of mass questions
  • · Replies 2 ·
Replies
2
Views
11K
Undergrad State the domain of the function and the domain of its derivative
  • · Replies 5 ·
Replies
5
Views
5K
Undergrad How Does Integration Apply to DW/RDR in Calculus?
  • · Replies 12 ·
Replies
12
Views
3K
Undergrad Understanding y=\frac{\sqrt{x}}{2^x} and y=lnx^{{lnx}^{{lnx}^{{lnx}^{{lnx}}}}}
  • · Replies 20 ·
Replies
20
Views
4K
Undergrad What is the intuitive idea behind the fundamental theorem of calculus?
  • · Replies 7 ·
Replies
7
Views
4K
Graduate Evaluate "Proof of Theorem on Real-Valued Function Defined on Interval [0,1]
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Is There a Better Way to Prove This?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Converting Laplacian to spherical coordinates.
  • · Replies 2 ·
Replies
2
Views
17K
Graduate Efficient Integration for Physics Problem | A+Bcosx Formula
  • · Replies 9 ·
Replies
9
Views
4K
Graduate What is the result of this double integral?
  • · Replies 4 ·
Replies
4
Views
3K
Graduate What is the Gelfand representation theory for Banach algebras?
  • · Replies 7 ·
Replies
7
Views
5K
Graduate Solving Difficult Problem: $\partial x/\partial y$ as Function of x
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Integrate on a triangular domain
  • · Replies 5 ·
Replies
5
Views
5K
Undergrad Spotting the Fallacy: A Calculus Extra Credit Problem
  • · Replies 10 ·
Replies
10
Views
4K
Graduate Convergence of an integral - book vs. me
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Question on Limit of a given function
  • · Replies 7 ·
Replies
7
Views
3K
Graduate How to test if a definite integral is finite or not?
  • · Replies 2 ·
Replies
2
Views
6K
Graduate How to Integrate Complex Vectors Using the Vector Triple-Cross-Product Formula?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Proving the Linear Independence of Coordinate Curves on a Smooth Surface
  • · Replies 3 ·
Replies
3
Views
4K
Graduate Understanding Topology: Metric Spaces, Open Balls, and Intersection Proofs
  • · Replies 8 ·
Replies
8
Views
4K
Undergrad Who Can Help Solve This Integral Problem?
  • · Replies 14 ·
Replies
14
Views
4K
Undergrad How to differentiate X^X in order to find the second derivative?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Help would be very much appreciated please
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Volume, moment, mass of solid of revolution
  • · Replies 2 ·
Replies
2
Views
5K
Undergrad Help with Integral: c*Sin[ArcTan[f(t)]]
  • · Replies 3 ·
Replies
3
Views
2K
Graduate How Can I Prove This Second Order Derivative Equation in Trigonometry?
  • · Replies 4 ·
Replies
4
Views
5K
Graduate Can You Prove This Measure Theory Problem?
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad What is the best approach to integrating 1/sqrt(u^2)?
  • · Replies 12 ·
Replies
12
Views
3K
Graduate Cycloid power series. problem from hell.
  • · Replies 4 ·
Replies
4
Views
4K
Graduate Is the Lebesgue-Integral Continuous with Respect to the L^\infty Norm?
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Complex Anal. Problems: Need Help!
  • · Replies 7 ·
Replies
7
Views
3K