What is Math challenge: Definition and 82 Discussions

MathWorks Math Modeling (M3) Challenge is a mathematical modeling competition open to high school students across the United States (including US territories and DoDEA schools). It is sponsored by MathWorks (a developer of mathematical computing software) based in Boston and organized by the Society for Industrial and Applied Mathematics (SIAM) based in Philadelphia.The M3 Challenge awards $100,000 in scholarship prizes each year to the top teams. An additional incentive is the recognition that the winning teams receive. The winning paper from 2008 was published in the College Mathematics Journal. A representative from High Tech's team appeared on FOX Business Channel, 2010 winners were interviewed by Pimm Fox of Bloomberg radio, presented its findings at Lockheed Martin's Data Capture Center, met with U.S. Census Bureau Director Dr. Robert Groves, and had their research published in SIAM's undergraduate publication, SIAM Undergraduate Research Online (SIURO). The 2011 and 2012 winners were interviewed by Pimm Fox of Bloomberg radio, and the 2014 winners were interviewed by both Pimm Fox and Carol Massar on Bloomberg radio.MathWorks took over sponsorship of the competition, formerly known as the Moody's Mega Math (M³) Challenge, from Moody's Foundation in 2017.

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  1. fresh_42

    Challenge Basic Math Challenge - September 2018

    Summer is coming and brings a new basic math challenge! Enjoy! For more advanced problems you can check our other intermediate level math challenge thread! RULES: a) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. Solutions...
  2. fresh_42

    Challenge Intermediate Math Challenge - August 2018

    Summer is coming and brings a new intermediate math challenge! Enjoy! If you find the problems difficult to solve don't be disappointed! Just check our other basic level math challenge thread! RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no...
  3. fresh_42

    Challenge Are You Ready for the Basic Math Challenge This August?

    Summer is coming and brings a new basic math challenge! Enjoy! For more advanced problems you can check our other intermediate level math challenge thread! RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. Solutions...
  4. fresh_42

    Challenge Intermediate Math Challenge - July 2018

    Summer is coming and brings a new intermediate math challenge! Enjoy! If you find the problems difficult to solve don't be disappointed! Just check our other basic level math challenge thread! RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no...
  5. fresh_42

    Challenge Ready for a Summer Math Challenge?

    Summer is coming and brings a new basic math challenge! Enjoy! For more advanced problems you can check our other intermediate level math challenge thread! RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. Solutions will...
  6. QuantumQuest

    Challenge Intermediate Math Challenge - June 2018

    Summer is coming and brings a new intermediate math challenge! Enjoy! If you find the problems difficult to solve don't be disappointed! Just check our other basic level math challenge thread! RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no...
  7. QuantumQuest

    Challenge Can You Solve These Summer Math Challenges?

    Summer is coming and brings a new basic math challenge! Enjoy! For more advanced problems you can check our other intermediate level math challenge thread! RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. 2) It is fine...
  8. QuantumQuest

    Challenge Intermediate Math Challenge - May 2018

    It's time for an intermediate math challenge! If you find the problems difficult to solve don't be disappointed! Just check our other basic level math challenge thread! RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored...
  9. QuantumQuest

    Challenge Can You Solve These Math Challenges?

    It's time for a basic math challenge! For more advanced problems you can check our other intermediate level math challenge thread! RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. 2) It is fine to use nontrivial results...
  10. N

    Equation for the amplitude of a line sweeping across a triangle

    Homework Statement I have a triangle with top sides of 5 mm (base is then 5*sqrt(2)). The top triangle has a line cut through it, at a height of 5/sqrt(2)/2. I want to compute the amplitude as function of position as a line sweeps into the triangle that is cut off. Requirement is A(0) = 0 and...
  11. Greg Bernhardt

    Challenge Math Challenge by QuantumQuest #4

    Submitted by: @QuantumQuest Challenge Level: High School RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. 2) It is fine to use nontrivial results without proof as long as you cite them and as long as it is "common...
  12. H

    How to find the radii of these 2 circles given 2 known points

    Homework Statement Homework Equations y-y1 = m (x-x1) ---> line equation $$ (x - a)^2 + (y-b)^2 = r^2 $$ ---> circle equationThe Attempt at a Solution I tried to draw the triangles using, (1, 3) (2, 4) and (0, b) (0, b) is the tangent point to y-axisand used those points for making...
  13. H

    A circle is circumscribed around triangle ABC, find length?

    some formula related I tried to draw the problem can anyone give me clue how to solve it?
  14. mfb

    Challenge Math Challenge by mfb #1

    Greg asked me to post it myself. RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. 2) It is fine to use nontrivial results without proof as long as you cite them and as long as it is "common knowledge to all...
  15. Greg Bernhardt

    Challenge Math Challenge by QuantumQuest #3

    Submitted and judged by: @QuantumQuest Solution credit awarded to: @ddddd28 RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. 2) It is fine to use nontrivial results without proof as long as you cite them and as long as...
  16. Greg Bernhardt

    Challenge Math Challenge by Andrewkirk #1

    Submitted and judged by: @andrewkirk Solution credit: RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. 2) It is fine to use nontrivial results without proof as long as you cite them and as long as it is "common...
  17. Greg Bernhardt

    Challenge Math Challenge by QuantumQuest #2

    Submitted and judged by: @QuantumQuest Solution credit: @MAGNIBORO RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. 2) It is fine to use nontrivial results without proof as long as you cite them and as long as it is...
  18. Greg Bernhardt

    Challenge Math Challenge by Erland #2

    Submitted and judged by: @Erland Solution Credit: @SSequence for 2a, 2B, C, D RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. 2) It is fine to use nontrivial results without proof as long as you cite them and as long...
  19. Greg Bernhardt

    Challenge Math Challenge by Erland #1

    Submitted by @Erland Solution Credit: @mfb RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. 2) It is fine to use nontrivial results without proof as long as you cite them and as long as it is "common knowledge to all...
  20. Greg Bernhardt

    Challenge Math Challenge by QuantumQuest #1

    Submitted by: @QuantumQuest Credit to: @stevendaryl RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. 2) It is fine to use nontrivial results without proof as long as you cite them and as long as it is "common...
  21. Greg Bernhardt

    Challenge Math Challenge by Charles Link #1

    Submitted by @Charles Link Solved by: @MAGNIBORO and @maline RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. 2) It is fine to use nontrivial results without proof as long as you cite them and as long as it is "common...
  22. I

    MHB Prove $x=-y$: A Math Challenge

    Let $x, y$ be real numbers such that $$(\sqrt{y^{2} - x\,\,}\, - x)(\sqrt{x^{2} + y\,\,}\, - y)=y.$$ Prove $x=-y$. Any suggestion would be appreciated.
  23. O

    Weekly Math Challenge Point Standings

    Here are the total point standings as of 10:33am on 12/20/2013: mfb 9 Citan Uzuki 7 Boorglar 3 jbunniii 3 Mandelbroth 2 jk22 2 hilbert2 2 economicsnerd 2 HS-Scientist 1 D H 1 jackmell 1 verty 1 Perok 1
  24. O

    Is there a forum for weekly engineering math challenges?

    What is this place? This forum is for people to come together and stretch their brains on math puzzles. Each week there will be a new challenge for the forum to try. What do I get for answering challenges? We're going to try a point system. The first person to post a solution will be awarded...
  25. Albert1

    MHB Welcome to the Math Challenge Board

    HI : good to see you everybody ,I am a new comer on this board Being a math teacher ,I always trained my students with various difficult problems from now on I am going to post a sequential challenging questions for people to share most of them I know the answer and the solution of it , maybe...
  26. M

    Finding Lim Without L'Hospital: A Math Challenge

    Hello. I have been trying to find this limit: Lim as x --> 1 of (sin((1-x)/2)*tan(Pi*x/2)) Of course I don't want to solve it using L'Hospital. I have tried several ways but ended up in one of these. lim as y -->0 of (y*tan(pi/2-y*pi)) The answer when using L'Hospital is 1/pi...
  27. F

    What is the rate of change of angle for a knight jumping on a chess board?

    Some of my friends, upon finding out that I'd joined these forums, decided to give me a math challenge problem they thought couldn't be solved. Does everyone get the same answer? It goes as follows: A knight jumps on a chess board (assume it makes a legal move) from point A to point B...
  28. T

    Minimizing Speed to Reach a Distance H: A Math Challenge

    Homework Statement So the goal is to reach a distance H in the x-direction, starting from a height H in the y-direction, and you need to minimize the speed, and find the smalest and angle. Homework Equations i did: dx = V cos(theta) *t and y = y_0 +V sin(theta)*t-1/2*g*t^2 Vx =...
  29. J

    Integrating P along Curve c: A Math Challenge

    Homework Statement So I'm trying to find the integral of P = 2xyz^2 along the curve c which is defined by: x=t^2 y=2t z=t^3 t goes from 0 to 1 So the q says that it is the integral of P dr along c Homework Equations The Attempt at a Solution So I know that this...
  30. E

    Proving A is Open in (R2,d): A Math Challenge

    Homework Statement Prove that the set A = {(x,y) in R2 : xy ≠ 1} is open in the metric space (R2, d), where d is the Euclidean metric. The attempt at a solution A is open if for any p in A, I can find an open ball centered at p that is contained in A. This would be easy if I could find the...
  31. P

    Proving Kepler's Law: A Math Challenge

    kepler's law! hi, does anybody know how to prove that the eccentricity multiplied by the directrix is equal to [itex] \frac {b^2}{a} [\itex]? i found that the eccentricity of an ellipse is equal to c/a. i also found that the directrix is equal to a/e. the way i see it, if i multiply e...
  32. JasonJo

    Calculating Lengths & Proving Identities: A Math Challenge

    1. calculate the length of the following paths: f(t) = (7, t, t^2) over 1<t<3 the way i was taught in class to calculate the length of a curve is to integrate the magnitude of the velocity, but i can't seem to naturally integrate the magnitude of (0, 1, 2t) similarly for: f(t) =...
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