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Summer 2022 Pre-College Prog: Thinking & Problem Solving PS0260 section 002
Thinking & Problem Solving: A New Look a
A New Look at Mathematics

Call Number 10750
Day & Time
MTWRF 9:10am-11:00am
407 Mathematics Building
Day & Time
MTWRF 1:10pm-3:00pm
407 Mathematics Building
Points 0
Grading Mode Ungraded
Approvals Required None
Method of Instruction In-Person
Course Description In this curricular option, which is intended for students who enjoy math and logical reasoning, participants develop a deeper appreciation for the richness of mathematics while further developing their thinking and problem-solving skills. The combination of subjects and methods enables participants to experience math in a way high schools are often unable to present it, approaching problems as open-ended opportunities for creativity, independent thinking, and intellectual excitement. The course is divided into three units:
  • Logic: An exploration of logic builds the groundwork for further mathematical reasoning. What is mathematical logic? How does one structure a proof? How can this framework be applied to philosophical thought? One topic covered is game theory (how mathematicians study decision-making), which has applications in fields such as economics, biology, and psychology.
  • Counting and Probability: Abstract counting, in the form of combinatorics, serves as an introduction to set theory, which in turn sets the stage for probability theory. As an application, the class delves into cryptography, looking at how math can be used to create and read secret messages.
  • Advanced Topics: In the final week, building on what we have done already and depending one students’ interests, we look at a few advanced topics. Potential topics include planetary orbits, symmetry, topology, common statistical fallacies, and Markov chains.
After exploring these various applications of mathematics, participants select and complete a group project based upon their own interests within the field. The course concludes with group presentations on those projects. As collaboration and communication are essential in modern science, the presentations offer a valuable opportunity to practice and receive feedback.
Web Site Vergil
Subterm 07/19-08/05 (L)
Department Pre-College Programs (SHSP)
Enrollment 21 students (18 max) as of 8:04AM Saturday, July 2, 2022
Status Full
Subject Pre-College Prog: Thinking & Problem Solving
Number PS0260
Section 002
Division Professional Studies & Special Pgrms: Pre-College Programs
Open To Pre-College Programs, Professional Studies
Campus Morningside
Section key 20222INMM0260N002

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SIS update 07/02/22 08:04    web update 07/02/22 17:40