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Division of Natural Sciences & MathematicsDepartment of Mathematics

Courses & Advising

Courses & Advising

Math 1150 Foundations Seminars

The MATH 1150 Math Foundations Seminars offer challenging and interesting mathematical topics with a computer science component that requires only high school mathematics. The seminar topics vary with each class and they are designed for all students.

Winter 2016

MATH 1150 Math Foundations Seminar
Title: Graph Theory in The Real World
CRN 2187, 30 students, meets TRF (11-11:50AM) in Sturm 310
Instructor: Allegra B. Reiber

A graph in its simplest form is merely a collection of dots, called vertices, and a collection of line segments, called edges, running between some or all of the vertices. The graph could model the walking paths on campus, the preferred pizza toppings of a group of friends, or an abstract mathematical relationship. During this course, we will study the concepts and results of graph theory, how to solve problems related to graphs, and how solving graph theory problems helps us understand real world problems: scheduling, terrorist networking, map coloring, postal delivery routes, amicable seating charts, population life cycle analysis, DNA sequencing, and more. No specific mathematics knowledge is presumed, but skills in reading, writing, and reasoning will be necessary to succeed with assignments. This is a hybrid course, meaning that some of the course meetings are face-to-face (Tuesday, Thursday, Friday), while in between face-to-face meetings, you will engage with course content, complete assignments, and communicate with classmates and the instructor through our online course container on the Canvas learning management system.

MATH 1150 Math Foundations Seminar
Title: Mathematics of Coloring
CRN 4500, 30 students, meets MW (2-3:50PM) in Sturm 310
CRN 4501, 30 students, meets TR (2-3:50PM) in Sturm 310
Instructor: Jose Mijares Palacious

To paraphrase the words of Alexander Soifer, author of the Mathematical Coloring Book: we will do an introductory study of mathematical problems involving colored objects, and results about the existence of certain exciting and unexpected properties that occur regardless of how these objects are colored. This area of Mathematics is referred to as Ramsey Theory, and its motto is "absolute chaos is impossible!": Any coloring of a large enough system contains a monochromatic subsystem of given in advance structure. This theory has applications in fields of communications, information retrieval in computer science, decision making, and even history. One of the aims of the course is to provide the students with a gentle and meaningful introduction to mathematical research via the study of the Mathematics of Coloring.

MATH 1150 Math Foundations Seminar
Title: Non-Classical Logics
CRN 3099, meets TR 8am–9:50am in Sturm 234
Instructor: Riquelmi Cardona

The explosion of new ideas in philosophy, computing, and artificial intelligence in the 20th century spurred the development of new systems of reasoning. These systems of so-called "non-classical logic" now occupy an important role in diverse disciplines, including philosophy, linguistics, computer science, and even music. In this course, we explore some of the foundational ideas and methods of non-classical logic, with an eye toward understanding how the innovation of "possible worlds" casts light on how people reason in day-to-day circumstances.

Previously offered seminars

  • 2, Infinity & Beyond (Carney, Ormes)
  • Cryptography (Arias, Curran, Vojtechovsky)
  • Games and Logic (Galatos)
  • Graph Theory (Zenk)
  • Graph Theory in the Real World (Locke, Reiber)
  • Great Ideas in Mathematics (Trujillo)
  • Heart of Mathematics (Pula, Griesmer, Flaherty)
  • Intro to Random Walks on Graphs (Sobieczky)
  • Logic and Games (Galatos)
  • Mathematical Art (Gudder)
  • Mathematics for Decision Making (Ormes)
  • Mathematics in Art and Music (Dobrinen)
  • Mathematics of Chance (Latremoliere)
  • Mathematics of Chance and Gambling (Arias)
  • Mathematics of Gambling (Arias, Gudder, Hagler)
  • Mathematics of Games (Pavlov)
  • Mathematics of Politics (Hagler)
  • Mathematics of Voting (Hagler)
  • Models of Computing (Ball)
  • Non-Classical Logics (Galatos)
  • Patterns and Symmetry (Ormes)
  • Perspectives in Art (Dobrinen)
  • Pi: The Story of a Number (Kinyon)
  • Random Walks on Networks (Sobieczky)
  • The Geometry of the Universe (Latremoliere)
  • Thinking Machines (Ball)