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Table of Contents - Hartwick College

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Mathematics<br />

The study <strong>of</strong> mathematics enables students not only to learn<br />

mathematical principles and the application <strong>of</strong> those principles, but to<br />

develop their ability to think logically, solve problems, express themselves<br />

precisely and gain a cultural appreciation <strong>of</strong> the discipline.<br />

Mathematics majors must complete a specified core <strong>of</strong> courses, beginning<br />

with a calculus and linear algebra sequence and an introductory course in<br />

abstraction. These courses provide the foundation for upper level courses.<br />

To obtain an overview <strong>of</strong> modern mathematics, majors take courses in<br />

two general areas, abstract algebra and real analysis, generally during<br />

their junior year. As an introduction to applied mathematics, they must<br />

elect one <strong>of</strong> several courses that stress a modeling/problem-solving<br />

approach to using mathematics. During the junior year, majors must<br />

participate in a junior seminar which emphasizes supervised seminar<br />

study and oral presentations. A required senior project involves<br />

supervised independent study with written presentations and a final oral<br />

presentation.<br />

In addition, mathematics majors are required to complete a term <strong>of</strong><br />

general physics, which provides them with a problem-solving experience<br />

and introduces them to the subject which was one <strong>of</strong> the primary<br />

motivations for the development <strong>of</strong> the calculus, and a computer<br />

programming course, which provides basic knowledge <strong>of</strong> one <strong>of</strong> the<br />

essential tools <strong>of</strong> modern mathematics.<br />

Students who wish to pursue a special area <strong>of</strong> mathematics in greater<br />

depth may do so by taking additional courses in that area and by<br />

independent study with a faculty member in an area not specifically<br />

covered in a course. Among the areas available for such study are<br />

numerical methods, mathematical modeling, operations research,<br />

statistics, graph theory, combinatorics, and topology. For students who<br />

may be interested in engineering, <strong>Hartwick</strong> <strong>of</strong>fers a Pre-Engineering<br />

Program and the opportunity to participate in a combined degree<br />

program with Columbia University or Clarkson University in which the<br />

student spends three years at <strong>Hartwick</strong> and two years at one <strong>of</strong> the<br />

engineering schools, earning a bachelor’s degree from each in the process.<br />

Students majoring in other disciplines who wish to complete a minor in<br />

mathematics should notify the department <strong>of</strong> their intent as soon as<br />

possible, preferably by the junior year. In addition to the required<br />

courses, a course in computer programming is strongly recommended.<br />

Incoming students are administered an algebra placement test and, on<br />

the basis <strong>of</strong> the results, are advised which mathematics courses would be<br />

most appropriate for their algebra backgrounds. Pre-Calculus<br />

Mathematics (120) may be selected by students who need a stronger<br />

background in algebra before they begin the calculus sequence. For<br />

students with exceptional mathematics backgrounds, advanced placement<br />

credit in calculus will be granted on the basis <strong>of</strong> Advanced Placement Test<br />

158

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