Mathematical Systems


REVISED

Fall 2013, Winter 2014 and Spring 2014 quarters

Taught by

mathematics, computer science, improvisational theater

Prerequisites

One year of calculus. In some cases, two quarters of calculus may be sufficient; students with only two quarters of calculus experience should contact the faculty at bwalter@evergreen.edu to discuss their level of readiness for this program.

This program is built around intensive study of several fundamental areas of pure mathematics. Covered topics are likely to include abstract algebra, real analysis, set theory, combinatorics and probability.

The work in this advanced-level mathematics program is quite likely to differ from students' previous work in mathematics, including calculus, in a number of ways. We will emphasize the careful understanding of the definitions of mathematical terms and the statements and proofs of the theorems that capture the main conceptual landmarks in the areas we study. Hence, the largest portion of our work will involve the reading and writing of rigorous proofs in axiomatic systems. These skills are valuable not only for continued study of mathematics but also in many areas of thought in which arguments are set forth according to strict criteria for logical deduction. Students will gain experience in articulating their evidence for claims and in expressing their ideas with precise and transparent reasoning.

In addition to work in core areas of advanced mathematics, we will devote seminar time to looking at our studies in a broader historical, philosophical, and cultural context, working toward answers to critical questions such as: Are mathematical systems discovered or created? Do mathematical objects actually exist? How did the current mode of mathematical thinking come to be developed? What is current mathematical practice? What are the connections between mathematics and culture? What are the connections between mathematics and art? What are the connections between mathematics and literature?

This program is designed for students who intend to pursue graduate studies or teach in mathematics and the sciences, as well as for those who want to know more about mathematical thinking.

Program Details

Fields of Study

Preparatory for studies or careers in

mathematics, physics, mathematics education, philosophy of mathematics, and history of science.

Location and Schedule

Campus location

Olympia

Schedule

Offered during: Day

Books

Buy books for this program through The Greener Store.

Online Learning

Enhanced Online Learning

More information about online learning.

Required Fees

$75 in spring for an overnight field trip.

Research Possibilities

Research opportunities may be available in the Spring quarter, depending on student interest.

Upper Division Science Credit

Most of the work in this program is designed to be upper division math. Students who successfully complete the program requirements will earn upper division science credit in Real Analysis, Abstract Algebra, Set Theory, Combinatorics, Probability, History of Math, and other covered subjects (TBD).

May be offered again in

2015-16

Revisions

Date Revision
April 22nd, 2013 Fall fee has been removed.

Registration Information

Credits: 16 (Fall); 16 (Winter); 16 (Spring)

Class standing: Sophomore–Senior

Maximum enrollment: 25

Fall

Course Reference Number

So - Sr (16 credits): 10084

Go to my.evergreen.edu to register for this program.

Winter

Accepting New Students

Signature Required

Admission will be based upon evaluation of student's previous experience with upper-division mathematics.  Interested students should contact the faculty via e-mail before the first day of class or at the Academic Fair.

Course Reference Number

So - Sr (16 credits): 20062

Go to my.evergreen.edu to register for this program.

Spring

Accepting New Students

Signature Required

Admission will be based upon evaluation of student's previous experience with upper-division mathematics.  Interested students should contact the faculty via e-mail before the first day of class or at the Academic Fair.

Course Reference Number

So - Sr (16 credits): 30052

Go to my.evergreen.edu to register for this program.

Need Help Finding the Right Program?

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