Math POTW for University Students Forum

POTW Sum of an Alternating Series
Replies
12
Views
425
POTW Limit of a Nonnegative Continuous Function
Replies
1
Views
265
POTW Does the Taylor series for arctan converge at x = 1?
Replies
19
Views
1K
POTW Groups of Prime Power Order
Replies
1
Views
163
POTW Inequality of Determinants
Replies
10
Views
726
POTW A Series Converging to a Lipschitz Function
Replies
1
Views
480
POTW Neumann Boundary Value Problem in a Half Plane
Replies
1
Views
450
POTW Does the Alternating Binomial Sum Formula Hold for All Positive Integers?
Replies
1
Views
461
POTW Integration Over a Line in the Complex Plane
Replies
8
Views
679
POTW Power Sums Limits: Evaluating $\lim_{n\to \infty}$
Replies
3
Views
622
POTW Solution to a Matrix Quadratic Equation
Replies
4
Views
649
POTW Hölder Continuous Maps from ##R## to a Metric Space
Replies
3
Views
689
POTW Find Limit of $$\frac{x}{e} - \left(\frac{x}{x+1}\right)^x$$ at Infinity
Replies
3
Views
607
POTW An Integral with Fractional Part
Replies
3
Views
647
POTW Product of Two Finite Cyclic Groups
Replies
1
Views
560
POTW Prove Hermitian Matrices Satisfy ##H^2 = H^\dagger H##
Replies
22
Views
1K
POTW Fourier Series on the Unit Interval
Replies
3
Views
840
POTW A Test for Absolute Convergence of a Series
Replies
1
Views
565
POTW A Linear Operator with Trace Condition
Replies
1
Views
651
POTW Ramanujan Sums: Showing $c_n(k)$
Replies
3
Views
700
POTW Definite Integral of a Rational Function
Replies
6
Views
923
POTW Solve Linear System of ODEs: x',y' w/ Initial Conditions x(0),y(0)
Replies
10
Views
1K
POTW Preservation of Local Compactness
Replies
4
Views
763
POTW Is the Rank of AB Related to the Ranks of A and B?
Replies
2
Views
899
POTW Show That the Curve is Straight
Replies
4
Views
860
POTW Gaussian Integrals in Two Dimensions
Replies
3
Views
762
POTW Uniformly Continuous Functions on the Real Line
Replies
15
Views
954
POTW Exponential-Type Integrals
Replies
11
Views
1K
POTW Expected Value of a Maximum
Replies
14
Views
2K
POTW Support of a Finitely Generated Module
Replies
7
Views
1K
POTW Infinite Sequences of Sines
2
Replies
44
Views
2K
POTW A Modified Basis in an Inner Product Space
Replies
2
Views
883
POTW Proof of Asymptotic Equality: $\sum_{n=0}^\infty a_n\frac{x^n}{n!} \sim ae^x$
Replies
1
Views
768
MHB Can a Topological Space Be Homotopy Equivalent to a Cylinder?
Replies
3
Views
1K
MHB Is $SO(3)$ Path-Connected?
Replies
1
Views
1K
MHB Can Continuity Ensure Infinite Limits in Nested Functions?
Replies
1
Views
3K
MHB Is Function $f$ Convex if its Hessian Matrix is Positive Semidefinite?
Replies
1
Views
2K
MHB What is the Unique Linear Functional in $M_n(\Bbb F)$ Satisfying Two Conditions?
Replies
1
Views
2K
MHB How to prove the convergence of a series with absolute values?
Replies
1
Views
2K
MHB Can You Evaluate This Tricky Improper Integral?
Replies
1
Views
2K
MHB How Do You Prove a Point is Critical When a Function is Non-Negative Nearby?
Replies
1
Views
2K
MHB Show that the equation $2a^3 - 7b^2 = 1$ has no solution over the integers
Replies
1
Views
987
MHB Is $K$ Contained in the Center of $G$ if $|K|=5$ and $|G|$ is Odd?
Replies
1
Views
2K
MHB Can You Tackle the Subset Chain Challenge in Math?
Replies
1
Views
1K
MHB Can Harmonic Functions Agree at All Points in a Bounded Domain?
Replies
1
Views
3K
MHB Prove the Famous Result: \(\sum_{k = 1}^\infty \frac{1}{k^2} = \frac{\pi^2}{6}\)
Replies
1
Views
3K
MHB How can you evaluate the integral of cosine raised to the fifth power?
Replies
1
Views
3K
MHB Why Are There an Odd Number of Elements in a Finite Group Where g^3 Equals 1?
Replies
1
Views
3K
MHB Can compact Hausdorff sets be expanded by open sets?
Replies
1
Views
2K
MHB What is the formula for the volume of a solid unit n-sphere in n+1 dimensions?
Replies
1
Views
2K
MHB Is the Tensor Product of Flat Modules Flat?
Replies
1
Views
3K
MHB Can You Solve This Linear System of ODE with Initial Conditions?
Replies
1
Views
2K
MHB Is $g(z)$ holomorphic if $f$ is holomorphic in $G$?
Replies
1
Views
2K
MHB Is $M$ a Finite Metric Space if $BC(M)$ is a Finite Real Vector Space?
Replies
1
Views
2K
MHB Do Complex Plane Medians Intersect at Triangle Centroid?
Replies
1
Views
2K
MHB Can You Tackle This Week's Challenging PDE?
Replies
1
Views
2K
MHB Is There a Simple Group of Order $2n$ for Odd $n \geq 3$?
Replies
1
Views
2K
MHB Can You Tackle This Advanced Series Summation Challenge?
Replies
1
Views
2K
MHB What Are This Week's Math Challenges in POTW #342?
Replies
1
Views
2K
MHB Is Orientability Preserved by Local Diffeomorphisms?
Replies
1
Views
2K
MHB Can You Match Partitions from Set A and Subset B?
Replies
1
Views
2K
MHB How Fast Does the Chain Move Off the Table in POTW #339?
Replies
1
Views
2K
MHB Can an analytic function on the half plane be represented by an integral?
Replies
1
Views
1K
MHB How Do You Prove the Inequality Involving Primes and Harmonic Sum for POTW #337?
Replies
1
Views
2K
MHB Is the one-point compactification of X-S homeomorphic to X/S?
Replies
1
Views
2K
MHB What is the proof that a commutative ring with prime proper ideals is a field?
Replies
2
Views
2K
MHB How to Derive g(x) from f(x) Using the Möbius Function?
Replies
1
Views
2K
MHB What is the solution to this week's POTW?
Replies
1
Views
1K
MHB Did Ackbach Solve This Week's Advanced Math POTW Correctly?
Replies
1
Views
1K
MHB How to Prove the Integral Identity in POTW #331?
Replies
2
Views
2K
MHB How to Submit Solutions for POTW #330?
Replies
1
Views
2K
MHB Is Any Subgroup of a Finite Group with Smallest Prime Order Divisor Normal?
Replies
1
Views
2K
MHB Is a dense, locally compact subspace always open in a compact Hausdorff space?
Replies
1
Views
1K
MHB Why can't $u$ achieve its maximum in the interior of $\Omega$?
Replies
1
Views
1K
MHB Is a Uniformly Convergent Sequence of Bounded Functions Also Bounded?
Replies
1
Views
2K
MHB How many subspaces can be formed in a vector space over a finite field?
Replies
1
Views
2K
MHB Is the Quotient of a Banach Space by a Closed Linear Subspace also Banach?
Replies
1
Views
1K
MHB Problem Of The Week # 323 - Sep 14, 2018
Replies
1
Views
1K
MHB Are There Infinite Primes of the Form 4k + 1?
Replies
1
Views
2K
MHB How Do Nonempty Closed Sets Intersect in Compact Spaces?
Replies
1
Views
1K
MHB Can You Crack This Vector Identity Challenge?
Replies
2
Views
2K
MHB What is the Sum of a Series Involving Sine Squared for $0 < x < \pi$?
Replies
1
Views
2K
MHB How can you prove the number-theoretic equation $\sum_{d|n} \phi(d) = n$?
Replies
1
Views
2K
MHB What is the Solution to POTW #317?
Replies
1
Views
2K
MHB Can You Prove This Advanced Mathematical Inequality?
Replies
1
Views
2K
MHB Is $f$ Constant if Distance Between Points is Raised to a Power Greater than 1?
Replies
1
Views
2K
MHB How can a rank 1 complex matrix be written as a product of two matrices?
Replies
1
Views
2K
MHB Is the direct sum of isomorphic commutative rings always equal in size?
Replies
1
Views
2K
MHB Can Two Solutions of a PDE be Equal with Given Boundary Conditions?
Replies
2
Views
2K
MHB What is the volume of a pyramid with given side lengths?
Replies
1
Views
2K
MHB Can any two bounded functions be transformed into a maximum of two functions?
Replies
1
Views
2K
MHB Given $n$ points in the plane, any listing (permutation) $p_1, p_2,\dots,p_n$
Replies
1
Views
2K
MHB What values of alpha make these curves tangent?
Replies
1
Views
2K
MHB John tosses $6$ fair coins, and Mary tosses $5$ fair coins. What is the probability that John gets more "heads" than Mary?
Replies
1
Views
2K
MHB What is the largest possible radius of a circle contained in a $4$-dimensional hypercube of side length $1?$
Replies
1
Views
2K
MHB Problem Of The Week # 305 - Apr 10, 2018
Replies
1
Views
1K
MHB Can one choose a winning team from each day in a round-robin tournament with no repeats?
Replies
1
Views
2K
MHB Find the locus of a point moving so that the sum of its perpendicular distances from the four lines is constant
Replies
1
Views
1K
MHB If $k$ is large, the expression above is approximately $\frac{1}{3}$.
Replies
1
Views
2K
MHB Is the Area and Radius of a Triangle Always Proportional to its Side Lengths?
Replies
1
Views
2K
You must log in or register to post here.

POTW University

Welcome to the University POTW forum!

Math problems will be posted each week on Monday, most likely early in the morning (1am, 2am, etc.) Eastern Standard Time. There will be one problem each week at the university math level.

Hot Threads

Recent Insights

Back
Top