Indiana University Bloomington
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Mathematical Modeling

 
Mathematical Modeling courses provide rigorous instruction in fundamental mathematical concepts and skills presented in the context of real-world applications. The modeling skills provide analytical methods for approaching problems students encounter in their future endeavors.

Learning Outcomes

Students proficient in Mathematical Modeling should demonstrate the ability to
  1. create mathematical models of empirical or theoretical phenomena in domains such as the physical, natural, or social sciences;
  2. create variables and other abstractions to solve college-level mathematical problems in conjunction with previously-learned fundamental mathematical skills such as algebra;
  3. draw inferences from models using college-level mathematical techniques including problem solving, quantitative reasoning, and exploration using multiple representations such as equations, tables, and graphs.
A passing grade in an approved course is required to show proficiency in mathematical modeling under the General Education curriculum.

Course Characteristics

1. Mathematical modeling courses
    a. are mathematics courses that either are required for students in the natural and mathematical sciences or address problems through mathematical models;
    b. emphasize mathematical rigor and abstraction, fundamental mathematical skills, and college-level mathematical concepts and techniques;
    c. teach how to develop mathematical models and draw inferences from them;
    d. include a full semester or equivalent of frequent and regular assignments that provide practice in mathematical modeling and mathematical techniques. Problems providing modeling practice   

i. are phrased with limited use of mathematical notation and symbols;
ii. require a formulation step on the part of the student;
iii. require college-level mathematical techniques leading from the formulation to the conclusion;
iv. have a conclusion that involves discovery or interpretation.

2. Courses approved for the Mathematical Modeling requirement must demonstrate and provide a system for consistency in instruction and in assessment of student achievement.

3. Courses approved for the mathematical modeling requirement should engage students with mathematical concepts and techniques that prepare them for a variety of possible future courses and degrees.

4. A course used to satisfy the Mathematical Modeling Foundations requirement may not double-count toward the Breadth of Inquiry Natural and Mathematical Sciences requirement.

Courses that fulfill the GenEd Mathematical Modeling requirement