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Courses of Study - William Jewell College

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<strong>Courses</strong> <strong>of</strong> <strong>Study</strong> – Mathematics<br />

lent. Spring semester, even years.<br />

301. <strong>College</strong> Geometry. 3 cr. hrs. A study <strong>of</strong><br />

Euclidean geometry, finite geometries, and non-<br />

Euclidean geometries. Prerequisites: junior standing<br />

or consent <strong>of</strong> instructor. Spring semester, odd years.<br />

305. Introduction to Probability. 4 cr. hrs. An<br />

introduction to probability spaces, distribution and<br />

estimation theory with emphasis on model building.<br />

Prerequisite: MAT 201. Fall semester, odd years.<br />

331. Symbolic Logic. 4 cr. hrs. Symbolic logic is a<br />

rigorous introduction to formal logic. Topics covered<br />

include symbolization, syntax, semantics, derivations<br />

and metatheory for both sentential and predicate<br />

logic as well as applications in mathematics and philosophy.<br />

Course methodology includes lecture, discussion<br />

and a computer lab. Also listed as PHI 331.<br />

335. Numerical Analysis. 4 cr. hrs. A study and<br />

analysis <strong>of</strong> the numerical methods <strong>of</strong> solving algebraic<br />

and transcendental equations, ordinary and partial<br />

differential equations in integration and other mathematically<br />

expressed problems. Prerequisite: MAT<br />

200. Spring semester, odd years, on demand.<br />

347. Abstract Algebra. 4 cr. hrs. An introduction<br />

to groups, rings, integral domains and fields. Course<br />

material includes LaGrange’s Theorem, isomorphism<br />

theorems, Caley’s Theorem, Sylow’s Theorem, polynomia<br />

rings and ideals. Prerequisite: MAT 201. Fall<br />

semester, even years.<br />

410. Analysis I. 4 cr. hrs. A rigorous approach to<br />

the study <strong>of</strong> functions, limits, continuity, differentiation<br />

and integration <strong>of</strong> functions <strong>of</strong> one and several<br />

variables. Spring semester, even years.<br />

451. Advanced Mathematics Seminar. 4 cr. hrs.<br />

Special topics in advanced mathematics for juniors<br />

and seniors to provide advanced study opportunities<br />

in analysis, algebra and applied mathematics.<br />

On demand.<br />

490. Independent <strong>Study</strong>. 1-4 cr. hrs. Approved onor<br />

<strong>of</strong>f-campus projects in independent research and<br />

reading by mathematics majors.<br />

94

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