Math POTW for University Students Forum

MHB Can Nonlinear Second Order ODEs Be Solved Using Bernoulli Equations?
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MHB How long will it take for the object to cool to 20 K?
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MHB Problem of the Week #98 - February 10th, 2014
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MHB Problem of the Week #97 - February 3rd, 2014
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MHB Problem of the Week #96 - January 27th, 2014
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MHB Problem of the Week #95 - January 20th, 2014
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MHB Therefore, the curvature at any point on the curve is $\boxed{\pi|t|}$.
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MHB Let $f(x)$ be a continuous function
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MHB Problem of the Week #92 - December 30th, 2013
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MHB Problem of the Week #91 - December 23rd, 2013
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MHB Problem of the Week #90 - December 16th, 2013
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MHB Problem of the Week #89 - December 9th, 2013
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MHB Problem of the Week #88 - December 2nd, 2013
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MHB Problem of the Week #87 - November 25th, 2013
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MHB Problem of the Week #86 - November 18th, 2013
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MHB Laplace Transform problem
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MHB Problem of the Week #84 - November 4th, 2013
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MHB Solving the Fourier Series: How do you integrate a Fourier series?
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MHB Show that $\displaystyle \int_0^{\infty} \frac{\arctan(\pi x) - \arctan x}{x}\,dx = \frac{\pi}{2}\ln \pi$
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MHB To construct the Koch snowflake curve
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MHB Problem of the Week #80 - October 7th, 2013
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MHB Problem of the Week #79 - September 30th, 2013
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MHB Find the coordinates of $P$
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MHB Is the equation $2x-1-\sin x=0$ solvable with exactly one real solution?
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MHB What are the proofs for various equations related to Maxwell's equations?
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MHB Vector calculus position vector
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MHB How can the coefficients of $e^{f(x)}$ be related to the coefficients of $f(x)$?
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MHB How Does Convolution Simplify the August 19th, 2013 POTW #73 Solution?
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MHB How can you evaluate the double integral using a geometric series?
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MHB Can you solve this differentiability problem involving implicit functions?
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MHB Involute of a Circle and Grazing Area
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MHB Find Max Volume of Cylinder Inscribed in Cone
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MHB What is the maximum value of $\cos\alpha\cos\beta\cos\gamma$ for a triangle?
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MHB Can You Prove This Inequality Involving Binomial Coefficients?
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MHB What is the moment of inertia for a circular lamina with constant density?
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MHB Problem of the Week #65 - June 24th, 2013
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MHB Problem of the Week #64 - June 17th, 2013
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MHB What is the radius of convergence for the series with $k$ as a positive integer?
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MHB What is the optimal fencing for a triangular field?
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MHB Is the Freshman's Binomial Theorem Always True for Primes?
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MHB What is the value of the constant C for the converging integral?
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MHB What is the longest pipe that can be carried around a right-angled turn in a hallway?
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MHB Is the Legendre Symbol Multiplicative?
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MHB Solving the Cauchy-Riemann equations for the first order derivatives of $f(z)$
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MHB Can You Solve the Nonsingular Matrix Inverse Problem?
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MHB Probability of Point Within Radius $x$ from Origin
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MHB How is the Laplacian expressed in spherical coordinates?
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MHB "What is the largest box that can be inscribed in a tetrahedron with specific coordinates and dimensions?
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MHB Which isosceles triangle with a given perimeter has the greatest area?
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MHB Can you prove the identity using calculus?
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MHB Can You Tackle This Week's Fourier Series Challenge?
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MHB Is H an abelian group of order 9 and is it isomorphic to Z9 or Z3 x Z3?
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MHB Problem of the Week #48 - February 25th, 2013
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MHB Problem of the Week #47 - February 18th, 2013
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MHB How Long Will the Rat Be Trapped in the Maze?
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MHB What is the smallest integer that satisfies $29 \mid n^2 - 5$?
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MHB How can we use integration by parts to prove the formula for $J_{n+1}$?
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MHB How Does the Limit of the Sum Approach One Half in POTW #43?
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MHB Can You Master This Week's Challenge on Laplace Transforms and Convolution?
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MHB How can we simplify the triple integral of a rectangular box?
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MHB What is the probability identity for multiple events?
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MHB Can we prove this using the Binet's formula for the Fibonacci sequence?
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MHB Can you find a continuous solution to this differential equation?
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MHB How to Apply the Gram-Schmidt Process to Obtain an Orthonormal Basis for $P_2$?
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MHB How can you calculate the area of a polygon given its vertices?
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MHB How can you prove that $n^{13}-n$ is divisible by $2730$ for all $n$?
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MHB Can you solve this week's production cost optimization problem?
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MHB Is $H$ a characteristic subgroup of $G$ when $G$ is abelian?
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MHB Problem of the Week #32 - November 5th, 2012
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MHB What is the residue of a complex valued function at a pole of order $m$?
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MHB How do we show that $L$ is diagonalizable?
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MHB Are polar coordinates $r$ and $\theta$ harmonic in terms of $x$ and $y$?
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MHB Is the Inner Product of Matrices Preserved under Vector Multiplication?
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MHB Problem of the Week #27 - October 1st, 2012
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MHB What is the characteristic polynomial of a $2\times 2$ matrix?
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MHB How can we use the $PA=LU$ decomposition to solve a system of linear equations?
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MHB Is $HK$ a subgroup of $G$ if and only if $HK=KH$?
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MHB Is the intersection of subgroups of G always a subgroup?
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MHB What is the total amount of rice taken to the market by three farmers?
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MHB How do you construct a field with 27 elements?
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MHB How to show that $G(s) = \dfrac{F(s)}{s}$ for Laplace transforms of integrals?
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MHB How Can Matrix Powers and Group Isomorphisms Illuminate Group Theory?
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MHB Is $\langle f,g\rangle$ an inner product on $W$?
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MHB Can you prove the properties of convolution?
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MHB Is Contour Integration the Key to Solving This Integral?
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MHB What is the integral of h''(u) between 1 and 2?
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MHB Can You Solve This Week's 3D Improper Integral Challenge?
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MHB What is the integral of e^(ax)/(1+e^x) for a real number 0<a<1?
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MHB Suppose that $\phi(x,y)$ and $\psi(x,y)$ are harmonic functions
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MHB Is $G$ isomorphic to $H$ under addition and multiplication?
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MHB Is the Divergence of the Cross Product of Two Gradients Always Zero?
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MHB Can you solve the Laplace transform of Bessel function of the first kind of order zero?
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MHB How can the value of r that minimizes the norm of a square matrix A be found?
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MHB What is the differential equation satisfied by the Bessel function of order 1?
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MHB Is This Week's Multivariable Calculus Challenge Doable for You?
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MHB How to Prove the Dimension of Ker $\phi^2$ in a Finite-Dimensional Vector Space?
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MHB What is the recurrence formula for $g(z)$?
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MHB Can the sum of exponential random variables be represented by a Gamma distribution?
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MHB Solve for n to prove that the given equation has a solution.
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MHB Can you prove this inequality involving trigonometric functions?
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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.

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