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Modeling Scenarios: Levels 1, 2, and 3
Several examples of the types of problems you may be asked to solve in the M3 Challenge are presented here.
It is highly recommended that participants read and work through some problems at each level before moving on.
Level 1:
Modeling Scenarios [14K PDF]
This list is intended to give students a taste of some of the scenarios that may be presented as modeling problems in the M3 Challenge. This can be considered basic training material, designed to prompt targeted brainstorming.
List provided courtesy of William P. Fox, Department of Mathematics, Francis Marion University, Florence, SC.
Level 2: AIM Resource Books
Students:
A Backwater Curve for the Windsor Locks Canal [1.09MB PDF]
Budgeting Time and Money [382K PDF]
Pricing Auto Insurance [466K PDF]
Volcanic Eruption Fallout [560K PDF]
Teachers:
A Backwater Curve for the Windsor Locks Canal [1.73MB PDF]
Budgeting Time and Money [1.8MB PDF]
Pricing Auto Insurance [1.7MB PDF]
Volcanic Eruption Fallout [1.5MB PDF]
These booklets detail modeling problems that remain relevant today despite being somewhat dated in appearance. These examples have considerable background data, which gives insight into the types of details that need to be considered when solving the Challenge problem. Remember that creativity and originality are highly valued characteristics of a winning solution—along with good quantitative and qualitative analysis.
Used with the permission of the Mathematical Association of America.
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Level 3: M3 Challenge Archives: Past Problems and Outstanding Solution Papers
Please note that the papers posted here are the solutions of the top six teams in the 2019 M3 Challenge. The students completed these papers within the 14-hour time period allowed for the contest and were selected by the judges to receive an award. Papers have been lightly edited by SIAM for posting.
M3 Challenge Champions - High Technology High School
M3 Challenge First Runner Up - Richard Montgomery High School
M3 Challenge Third Place - Nicolet High School
M3 Challenge Finalist - Academy for Science and Design
M3 Challenge Finalist - Adlai E. Stevenson High School
M3 Challenge Finalist - Wayzata High School
Technical Computing Award Winner - North Carolina School of Science-Math
Technical Computing Award Runner Up - Academy for Science and Design
Technical Computing Award Third Place - High Technology High School
Past Problems
2018 Sample Solution: Using MATLAB to Solve the 2018 M3 Problem
Go to the M3 Challenge archive to see these problems and their solutions.