I I I 331 Probablllty (3) I
COURSE DESCRIPTIONS
MODERN ■ aaa•t·i➔ l-t
415 Number Theory and the History of Mathematics (3) The history of mathematics from Euclid through the 19th century as seen by exploring developments in number theory including congruences, Diophantine equations, divisibility, the orems of Fermat and Wilson, primitive roots, indices, quadratic reciprocity and the distribution of prime numbers. Prerequisite: 112. Alternate years. 420 Modem Geometry (3) Projective geometry, cross ratios theo rems of Menelaus , Cevas, Pappus , Desargues and Brianchon. Hyper bolic and elliptic geometries. Differ ential geometry, curvature, torsion. Prerequisite: 341 or consent. Alter nate years. 435 Differential Equations (3) First order differential equations and second order linear equations, series solutions, Laplace transforms, numeri cal methods, panial differential equa tion s and Fourier series, boundary value problems and Sturm-Liouville theory. Prerequisite: 205, 291 or con sent. Alternate years. 440 Complex Variables (3) Complex variables, analytic functions, complex integral theorems, power series, conformal mappings. Prerequi site: 205 or consent Alternate years. 450 Topics In Abstract Algebra (3) Topics from groups, ring and fields. Galois theory. Prerequisite : 315. Alternate years. 480 Research Seminar (1·3) Special studies in mathematics. Pre requisite: senior standing or consent May be repeated for credit
310,320,410,420,430,440,450,460, and a minimum of 9 units from 465, 470, 485, 490. Six units of required support courses: Communication 280 and History 312 . Two program related service learning projects must be completed prior to graduation. All Spanish courses are taught in Spanish. MINOR A Minor in Spanish requires a mini mum of 18 units including: 210 or 220, 310, 320, 410, 440, and one or more of Spanish 420, 450 History 312 or Inter cultural Studies 332 (Latin America only). One approved program-related service learning project is required. COURSES Spanish Students desiring to enroll in Span ish are strongly advised to do so during their freshman and sophomore years. Placement in Spanish classes will be based on a mandatory department assessment. Students entering the program with less than two years of high school Spanish or one semester of college Spanish will automatically be placed in the first course. Students who do not maintain continuous enrollment in the program must be retested and placed accordingly. Nou: Advancement from one course in till wwtr division Wf1Je11U ta till next will nquin demcn.itra!wn of proficiency. 101, 102 Elementary Spanish (4,4) The fundamentals of pronunciation, grammar, conversation and reading. Taught with emphasis on communica tion, comprehension, reading and writing. Four hours each week. Either semester. 201 Intermediate Spanish (4) Advanced grammar , composition, increased facility in reading and con versation. Four hours each week. Either semester. 210 Applied Spanish (3 ) A review and application of general education Spanish. Content will be personalized as we refine grammar skills and develop vocabulary in the process of using oral and written Span ish to communicate each student's field of interest. Prerequisite: 20 I or equivalent or permission of instructor. 220 Spanish for Spanish Speakers. (3) Intense work on details of oral and writ ten communication, with special atten tion to typical problems encountered by students who have not been edu cated in Spanish. Prerequisite: 20I or equivalent or permission of instructor.
Chair. David Dickson, Ph.D. FACULTY Associate Professors: Dickson, Dunbar DISTINCTIVES The Modem Language Department seeks to provide effective language train ing in the context of the Christian faith and the cultures of the respective lan guages that we offer. Al the general edu cation levelwe desire to provide an under standing of the nature of language as well as a moderate level of command of the selected language (French, German and Spanish). For the student who is serious about developing a mastery of a language, we offer a Spanish major and minor that are strongly focused on preparation for service in SpanisMpeaking contexts. The objectives of the Spanish major are: I) to develop the Spanish language and cul tural skills of students who seek to be ser vants in Spanish-speaking environments in the US and abroad; 2) to provide signif icant hands-on experience in serving in these environments; and 3) to guide the students' development of the holistic inte grative reasoning that is necessary to suc c~y serve others. Competency Requirement In following the general educa tion sequence of courses in foreign languages the student must have a minimum grade of "C" (not "C-") to enroll in subsequent courses. ADMISSION REQUIREMENTS Admission to the Spanish major or minor program requires: A Complete Spanish 210 or 220 in the semester prior to admission with a grade of Bor higher or a satis factory score on a normed placement exam given by the department, and B. File an application, with an essay in Spanish to the department An inter view with department faculty is required. This process normally should be com pleted by the end of the Freshman year. Prerequisite coursework or approved equivalents are: Spanish 210 or 220 and Interculrural Studies 300 (to fulfill the Behavioral Science requirement). DEGREE PROGRAM A Bachelor of Arts degree in Spanish is offered upon the comple tion of university baccalaureate requirements and the Spanish major. MAJOR Spanish (39 units) The Spanish major consists of 39 units. Acore of 33 units, 24 of which must be upper division and include:
Samples spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes' Theorem, one and higher dimensional random variables, special and multivariate disoibutions. Prereq uisites: 112, 205. Alternate years. 332 Statistics (3) Estimation: consistency, unbiasedness, maximum likelihood, confidence inter vals. Hypothesis-testing; type I and II errors, likelihood ratio tests, test for means and variances; regression and I correlation, Chi-square tests, decision theory, nonparametric statistics; appli cation of statistical methods. Prerequi site: 331 or consent Alternate years. Mathematical foundations of model building, optimization , linear pro gramming models, game theoretic models. Prerequisites: 105, Computer Science 105. 341 Classical Geometry (3) I 333 Operations Research (3) I Theorems of Pythagoras, incenters, circumcenters, circles, Euler line, Fer mat center. Compass constructions. Solid geometry. Spherical geometry of arcs. Coordinate geometry. Pre requisite: Consent. Alternate years. 370 Readings In Mathematics (1) Reading of material in a special topic. Colloquium participation. Writing and oral presentation of a research paper. Prerequisite: Consent of the depart ment May be repeated for credit 410 Topics In Advanced Calculus (3) Implicit function theorems, main the orems in integral calculus. Jacobian transformations, infinite series. Pre requisite: 305. Alternate years.
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