Math Problem of the Week Forum

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Undergrad Is the Function Strictly Increasing on a Given Interval?
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What is the maximum value of this line integral?
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High School What is the Sum of Series: Problem of the Week #153 (March 2nd, 2015)?
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Undergrad How Does Divergence Relate to the Volume Form in Riemannian Manifolds?
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What Color was the Bear Spotted by Mr. Brown on His Morning Walk?
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High School How Do You Solve This Trigonometric Equation Involving Multiple Cosine Terms?
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What are the ages of the three sons?
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Undergrad Is the Left-Adjoint Functor Preserving Colimits of Functors?
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High School What is the largest real number M satisfying a specific inequality?
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Are All Points Collinear in This Week's University POTW?
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Undergrad What is the relationship between Gaussian curvature and volume forms?
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High School How to Solve a Challenging Integration Problem
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Undergrad Problem of the Week #140 - February 2, 2015
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How Many Hands Did You Shake at the Party?
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High School Can a Polynomial Equation Have Roots in Arithmetic Progression?
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Undergrad How can you find the best angle and range for a projectile shot from a building?
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What is the optimal running speed in the rain to minimize getting wet?
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High School How Are Triangle Altitudes and Inscribed Circle Radius Related?
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What is the minimum number of handshakes at a party with eight people?
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Undergrad Is $\sqrt[3]{2 + \sqrt{5}} + \sqrt[3]{2 - \sqrt{5}}$ a rational number?
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High School How many students can be given the set of unique exam problems?
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High School What Happens to the Limit of a Function as x Approaches Zero?
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Undergrad Solution: Proving $f$ is identically zero
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What is the voltage across the resistor in this AC circuit problem?
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Undergrad How can we prove that if a sequence is decreasing and has a sum of infinity, then the limit of n times the nth term of the sequence is zero?"
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Who Solved the Crime in the Latest Problem of the Week?
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High School What is the ordered pair (x,y) for the given equation?
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What is the Minimum Number of Coconuts in This Desert Island Problem?
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Undergrad Can You Prove $\pi_2(\Bbb CP^\infty) \approx \Bbb Z$?
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High School How do I solve the equation involving logarithms and exponents for x?
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Undergrad Can This Differential Equation Be Solved with Given Initial Conditions?
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How can I find the intersection point of two sticks dropped into a well?
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High School What Is the Maximum Value of P(x) on the Interval Where x⁴-13x²+36≤0?
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Undergrad Is $f$ a one-to-one function if $\text{Re}(f') > 0$ on a convex set $X$?
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Problem of the Week # 142 - December 15, 2014
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High School Solve Integral of ln(sin x) from 0 to pi.
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Undergrad What is the Ito integral of a Brownian motion raised to a power?
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Is Point C Moving in a Circle with Same Angular Speed and Direction?
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High School What is the Sum of Cosine Products in POTW #141?
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Undergrad Is a Metric Space with a Surjective Contraction Mapping Non-Compact?
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High School Finding the Coefficient for $a^4$ in a Series with Variable Exponents
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Week #140: How to Solve This Challenging Integral?
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Undergrad Why is the short exact sequence of abelian groups not split exact?
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How can you diagonalize the given matrix and use it to solve a system of ODE's?
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High School Is $x$ a perfect square?
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Undergrad Why is No One Answering This Week's Problem?
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What Is the Trajectory of the Dog in Pursuit of the Rabbit?
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High School How Many Pairing Options Exist at a Party with 2n People?
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Undergrad How do we prove that $p(x,y)$ is a nonzero element of $\Bbb R[x,y]$?
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Can you prove $C\lor D$ using given premises?
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High School Can a Triangle with Area 1 Have a Side Less Than √2?
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Undergrad Is $f$ Identically Zero on the Punctured Unit Disc?
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Smallest Radius for Line to Intersect All Circles with Lattice Centers?
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High School Are All Numbers in This Mathematical Sequence Exact Cubes?
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Problem of the Week # 135 - October 27, 2014
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Undergrad How to Determine the Homology Group of the n-Torus?
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High School Prove No Solution for Equation $y^3=1+2^{2^x}$ in Natural Numbers
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Undergrad Can Tensor Products Reveal Ring Isomorphisms?
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Can you find all entire, doubly periodic functions on the complex plane?
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High School What is the maximum value of ac in the given equations?
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Is $\{0,1\}^{\Bbb N}$ homeomorphic to the Cantor Set?
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Is the median speed on this highway different from 55 mph?
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Problem of the Week #123 - October 6th, 2014
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Problem of the Week #132 - October 6th, 2014
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High School How Many Integer Values Can QR Take in Triangle PQR with Equal Area Divisions?
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Is the Product of Integrable Functions also Integrable?
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Problem of the Week #131 - September 29th, 2014
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High School Evaluating a Complex Expression with Given Value
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Problem of the Week #121 - September 22nd, 2014
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Is the Jacobian Matrix of This Function Symmetric?
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High School Are All Zeros of This Polynomial Real?
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Problem of the Week #129 - September 15th, 2014
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Problem of the Week #120 - September 15th, 2014
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High School How Do You Calculate the Integral of 1/Floor(x^2) from 1 to 2?
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Is the integral over the first octant of a three-variable function continuous?
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Problem of the Week #119 - September 8th, 2014
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High School What Is the Value of $2^Y$ for Y in Problem of the Week #128?
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Problem of the Week #127 - September 1st, 2014
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Problem of the Week #118 - September 1st, 2014
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What are the indefinite integrals of cos x and sin x over cos x plus sin x?
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Problem of the Week #117 - August 25th, 2014
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Problem of the Week #126 - August 25th, 2014
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High School What Is the Probability That a Chord on a Unit Circle Is At Least 1 Unit Long?
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Problem of the Week #116 - August 18th, 2014
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Problem of the Week #125 - August 18th, 2014
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High School Can you prove this trigonometric identity?
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Problem of the Week #124 - August 11th, 2014
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What is the Dimension and Cardinality of the Vector Space V?
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High School Can You Solve This Complex Mathematical Expression Without a Calculator?
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Problem of the Week #123 - August 4th, 2014
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Problem of the Week #114 - August 4th, 2014 Solution
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High School What is the sum of coefficients in a polynomial expansion?
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Problem of the Week #113 - July 28th, 2014
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Problem of the Week #122 - July 28th, 2014
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High School Can You Solve the Triple Integers System from POTW #122?
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Problem of the Week #121 - July 21st, 2014
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Problem of the Week #112 - July 21st, 2014
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High School Triangle Side and Angle Relationship Problem #121 - July 21st, 2014
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Problem of the Week #120 - July 14th, 2014
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Problem of the Week #111 - July 14th, 2014
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