2022-2023 Graduate Course Catalog [ARCHIVED CATALOG]
College of Arts and Sciences Courses
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College of Arts and Sciences
History of Art
History of Music
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HOM 500 - Selected Topics College of Arts and Sciences
1-6 credit(s) Irregularly
Exploration of a topic (to be determined) not covered by the standard curriculum but of interest to faculty and students in a particular semester.
Repeatable
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HOM 512 - World Music and Film College of Arts and Sciences
3 credit(s) Irregularly
The global flows of music explored through commercial, ethnographic, documentary, and animated films. How music and musicians outside the Euro-American mainstream have been represented, creatively adopted and recontextualized, and used to construct meaning.
PREREQ: ANY HOM 100-699 LEVEL OR ANY MHL 100-699 LEVEL
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HOM 562 - Bach and Handel College of Arts and Sciences
3 credit(s) Irregularly
Explores the careers and compositional output of Bach and Handel. Considers issues of genre, style, theology and religion, nationhood, and patronage.
PREREQ: ANY HOM 100-699 LEVEL OR ANY MHL 100-699 LEVEL
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HOM 563 - The Operas of Wagner College of Arts and Sciences
3 credit(s) Odd academic yr e.g. 2007-8
The historical analysis, interpretation, and reception history of Wagner’s musical and dramatic work.
PREREQ: HOM 165 OR 166 OR 266 OR HOM/MHL 267 OR MHL 168
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HOM 568 - Music of Beethoven College of Arts and Sciences
3 credit(s) Irregularly
Life and works of Beethoven in their social context. Beethoven as cultural symbol and in the development of style. Intensive focus on specific works.
PREREQ: MTC 146
Repeatable 1 time(s), 6 credits maximum
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HOM 573 - History of American Song College of Arts and Sciences
3 credit(s) Irregularly
The American art song, emphasizing the 20th-century composers. Musical style of works, placed in their social and cultural contexts.
PREREQ: MTC 146
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HOM 600 - Selected Topics College of Arts and Sciences
1-6 credit(s) Upon sufficient interest
Exploration of a topic (to be determined) not covered by the standard curriculum but of interest to faculty and students in a particular semester.
Repeatable
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HOM 615 - History of Recorded Sound College of Arts and Sciences
3 credit(s) Irregularly
Double Numbered with: HOM 415
The history of sound recording technology from its origins to the
present day. Additional work required of graduate students.
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HOM 661 - Music and Shakespeare College of Arts and Sciences
3 credit(s) Irregularly
Double Numbered with: HOM 461
A discussion-based course investigating the place of music in Shakespeare’s plays. Also considers the role of music in early modern English culture as well as later musical adaptations of Shakespeare.
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HOM 671 - Popular Music Studies College of Arts and Sciences
3 credit(s) Irregularly
Double Numbered with: HOM 471
A research seminar in the study of popular music with emphasis on methodologies from a variety of disciplines ranging from musicology and music theory to sociology and cultural studies. Additional work for Graduate students.
PREREQ: ANY HOM 100-699 LEVEL OR ANY MHL 100-699 LEVEL
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HOM 680 - International Course College of Arts and Sciences
1-12 credit(s) Irregularly
Offered through SUAbroad by educational institution outside the United States. Student registers for the course at the foreign institution and is graded according to that institution’s practice. SUAbroad works with the S.U. academic department to assign the appropriate course level, title, and grade for the student’s transcript.
Repeatable
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HOM 685 - Contemporary Indigenous Soundscapes College of Arts and Sciences
3 credit(s) Irregularly
Double Numbered with: HOM 485
An interdisciplinary course about music and dance cultures of the world’s indigenous peoples in the context of contemporary social, cultural, and political issues: religion, identity, representation, globalization, tourism, political movements. Additional work required of graduate students.
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HOM 691 - Music, Space and Place College of Arts and Sciences
3 credit(s) Irregularly
Double Numbered with: HOM 491
An exploration of the relationships between music, space and place, considered from a variety of musical practices and scholarly methodologies. Additional work for Graduate students.
History
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HST 510 - Studies in African American History College of Arts and Sciences
3 credit(s) Irregularly
Crosslisted with: AAS 510
Particular periods or aspects of African American history.
Repeatable
Humanities
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HUM 501 - Humanism and the Arts in Renaissance Italy College of Arts and Sciences
6 credit(s) Only during the summer
Interdisciplinary seminar on the interdependence of thought, art, and letters in Renaissance Italy and their dependence on social, political, religious, and cultural conditions. Given in Italy. Extensive field trips. Lectures and readings in English.
Italian
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ITA 620 - Language Training in Preparation for Research Using Italian College of Arts and Sciences
3 credit(s)
Language training to prepare students to conduct research in areas that require knowledge of Italian.
Repeatable 3 time(s), 12 credits maximum
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ITA 670 - Teaching Experience College of Arts and Sciences
1 credit(s) Irregularly
For qualified seniors and graduate students. Supervised practical experience in teaching beginning and/or intermediate oral Italian.
Repeatable
Japanese
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JPS 620 - Language Training in Preparation for Research Using Japanese College of Arts and Sciences
3 credit(s)
Language training to prepare students to conduct research in areas that require knowledge of Japanese.
Repeatable 3 time(s), 12 credits maximum
Judaic Studies Program
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JSP 500 - Selected Topics College of Arts and Sciences
1-6 credit(s) Irregularly
Exploration of a topic (to be determined) not covered by the standard curriculum but of interest to faculty and students in a particular semester.
Repeatable
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JSP 600 - Selected Topics College of Arts and Sciences
1-6 credit(s)
Exploration of a topic (to be determined) not covered by the standard curriculum but of interest to faculty and students in a particular semester.
Repeatable
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JSP 676 - Religion and Jewish Literature College of Arts and Sciences
3 credit(s) Irregularly
Crosslisted with: REL 676
Readings in Jewish literature, with emphasis on allegorical, hasidic, neohasidic, and anti-hasidic writing by Nahman of Bratslav, Joseph Perl, I.L. Peretz, Franz Kafka, Isaac Babel, and S. Y. Agnon.
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JSP 690 - Independent Study College of Arts and Sciences
1-6 credit(s) Irregularly
Exploration of a problem, or problems, in depth. Individual independent study upon a plan submitted by the student. Admission by consent of supervising instructor(s) and the department.
Repeatable
World Language Program: Korean
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KOR 620 - Language Training in Preparation for Research in Korean College of Arts and Sciences
3 credit(s) Every semester
Language instruction to prepare students to conduct research in areas that require knowledge of Korean. Permission of instructor.
Repeatable 3 time(s), 12 credits maximum
Latino-Latin American Studies
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LAS 520 - Research on Latin America College of Arts and Sciences
1-3 credit(s) Every semester
Reading and special work
Repeatable
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LAS 537 - Environmental Policy in a Development Context College of Arts and Sciences
3 credit(s) Every semester
Crosslisted with: GEO 537
Offered only in Santiago. Examines historical/intellectual/ material processes that transformed nature into natural resources to be exploited; ways global political process has guided global responses to environmental problems; Chilean environmental policy over the last 20 years.
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LAS 623 - Effects of Globalization in Latin America College of Arts and Sciences
3 credit(s) Odd academic yr e.g. 2007-8
Crosslisted with: ANT 623
Double Numbered with: LAS 423
A grassroots view of major transformations in Latin America due to globalization/global change, including adaptations to global warming, effects of and reactions to neo-liberal policies, internal and international migration, ethnic movements and social revolutions.
Latin
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LAT 620 - Language Training in Preparation for Research Using Latin College of Arts and Sciences
3 credit(s)
Language training to prepare students to conduct research in areas that require knowledge of Latin.
Repeatable 3 time(s), 12 credits maximum
Linguistics
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LIN 580 - International Course College of Arts and Sciences
1-12 credit(s) Upon sufficient interest
Offered through SUAbroad by educational institution outside the United States. Student registers for the course at the foreign institution and is graded according to that institution’s practice. SUAbroad works with the S.U. academic department to assign the appropriate course level, title, and grade for the student’s transcript.
Repeatable
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LIN 591 - Second Language Acquisition College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Survey of research on second-language acquisition; biological, cognitive, effective, and social factors.
PREREQ: LIN 301 OR LIN 601
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LIN 600 - Selected Topics College of Arts and Sciences
1-6 credit(s)
Exploration of a topic (to be determined) not covered by the standard curriculum but of interest to faculty and students in a particular semester.
Repeatable
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LIN 601 - Introductory Linguistic Analysis College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Double Numbered with: LIN 301
Techniques and methods of modern linguistics, including specific analysis of phonetic, phonological, morphological, and syntactic aspects of natural language structure. Additional work required of graduate students.
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LIN 605 - Linguistic Structure of English Languages, Literatures and Linguistics
3 credit(s) At least 1x fall or spring
Double Numbered with: LIN 305
Systematic and comprehensive survey of the structure of Modern English from a linguistic perspective. Topics include phonetics, phonology, morphology, semantics/pragmatics,various syntactic properties pertaining to English. Additional work required of graduate students.
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LIN 606 - Field Methods in Linguistics College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Double Numbered with: LIN 406
Course introduces students to tools/techniques for collecting/analyzing language data. Under documented language used when possible. Students work with a native-speaker consultant. Additional work required of graduate students.
PREREQ: LIN 301 OR LIN 601
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LIN 611 - Semantics of Human Languages College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Double Numbered with: LIN 411
Introduction to analysis of meaning in natural languages. Additional work required of graduate students.
PREREQ: LIN 601
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LIN 612 - Meaning and Communication College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Double Numbered with: LIN 312
Introduction to aspects of linguistic meaning that are dependent on context and other non-linguistic factors.
PREREQ: LIN 601
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LIN 621 - Introduction to Methodology of Teaching Languages: English/Foreign Language Teaching College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Double Numbered with: LIN 321
Topics include history and theories of language teaching; the teaching of content (grammar, sound system, lexis, and pragmatics) and skills; and assessment. Additional work required of graduate students.
PREREQ: LIN 601
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LIN 622 - Advanced Methods of Teaching Languages: English/Foreign Language Teaching College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Double Numbered with: LIN 422
Topics include curriculum development, technology in language learning, global dialects, individual differences, second language acquisition, and professional development. Students complete a practicum. Additional work required of graduate students.
PREREQ: LIN 621 /LIN 421
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LIN 626 - Structure of Standard Arabic College of Arts and Sciences
3 credit(s) Irregularly
Double Numbered with: LIN 326
Structure of Standard Arabic, including the phonology, morphology, syntax, and semantics. Includes social and historical issues related to the development of the Arabic language. Additional work required of graduate students.
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LIN 631 - Phonological Analysis College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Double Numbered with: LIN 431
Introduction to analysis of sound systems of natural languages. Extra work required of graduate students.
PREREQ: LIN 601 /LIN 301
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LIN 641 - Syntactic Analysis College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Double Numbered with: LIN 441
Introduction to analysis of morphological and syntactic systems of natural languages. Extra work required of graduate students.
PREREQ: LIN 601 /LIN 301
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LIN 651 - Morphological Analysis College of Arts and Sciences
3 credit(s)
Double Numbered with: LIN 451
An introduction to morphological theory and analysis in contemporary generative linguistics. The course familiarizes students with the main topics that interest morphologists by exposing students to a range of cross-linguistic data.
PREREQ: LIN 301/LIN 601
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LIN 661 - Introduction to Historical Linguistics College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Double Numbered with: LIN 461
An introduction to traditional terminology and methods, and to more recent studies in formal, explanatory theories of language change. Theories of phonological as well as syntactic change. Additional work required of graduate students.
PREREQ: LIN 601 /LIN 301
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LIN 671 - Dimensions of Bilingualism and Multiculturalism College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Crosslisted with: ANT 671
Double Numbered with: LIN 371
Foundations, theory, and practice of bilingual/bicultural education. Critical concepts of linguistic, sociolinguistic, psycholinguistic issues and methods as applied to bilingualism/multiculturalism. Additional work required of graduate students.
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LIN 672 - Language, Culture, and Society College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Crosslisted with: ANT 672, WGS 672
Cross-cultural survey of the role of language in culture and society, including cognition and language usage along the dimensions of class, gender, race, ethnicity, and social status.
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LIN 673 - Language Variation and Change College of Arts and Sciences
3 credit(s) Irregularly
Crosslisted with: ANT 678
Double Numbered with: LIN 373
An exploration of the theories, qualitative and quantitative methods, and the ideological, social, cultural, linguistic and structural factors involved in the study of language variation and change. Additional work required of graduate students.
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LIN 674 - Topics in Sociolinguistics College of Arts and Sciences
3 credit(s)
Double Numbered with: LIN 374
Functions of language in society. Geographical, socioeconomic, and gender differentiation. Social significance of various types of speech forms. Requirements include a research project for graduate students.
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LIN 675 - Forensic Linguistics College of Arts and Sciences
3 credit(s) Even Academic Yr e.g. 2004-5
Crosslisted with: ANT 675
Double Numbered with: LIN 375
Examines the application of core linguistic concepts,( including concepts of socio-psychological/pragmatic/discourse analysis), and interpretive techniques to investigate crimes, and other legal matters in which language data is used as pertinent evidence. Additional work required of graduate students.
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LIN 681 - Global Communication Through World Englishes College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Double Numbered with: LIN 381
World Englishes pose unique challenges for linguists, language pedagogues, business leaders, communication experts, and researchers in intercultural/ international communication. Various topics reflecting these challenges are presented. Additional work required of graduate students.
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LIN 692 - Second Language Acquisition College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Double Numbered with: LIN 392
Survey of research on second-language acquisition; linguistic, biological, cognitive, affective, and social factors.
PREREQ: LIN 601 OR LIN 605
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LIN 731 - Advanced Phonology College of Arts and Sciences
3 credit(s) Even Academic Yr e.g. 2004-5
A variety of phonological problems using an autosegmental or geometric approach. Stress and tone; gemination; compensatory lengthening; and certain morphological problems.
PREREQ: LIN 631
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LIN 741 - Advanced Syntax College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Recent advances in syntactic theory and empirical studies conducted within the government and binding framework. Student construction of hypotheses and analysis of data.
PREREQ: LIN 641/441
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LIN 997 - Masters Thesis College of Arts and Sciences
1-6 credit(s) Upon sufficient interest
Literature in English Translation
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LIT 510 - Studies in Greek and Roman Literature in Translation College of Arts and Sciences
3 credit(s) Upon sufficient interest
Selected topics in Greek or Roman literature studied in English. No knowledge of Greek or Latin required.
Repeatable
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LIT 521 - Mythhology College of Arts and Sciences
3 credit(s) Irregularly
Greek, Roman, and Norse myths. Knowledge of foreign languages not required.
Mathematics
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MAT 503 - Matrix Methods for Data Science College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Matrix methods required for data analysis with an emphasis on applications and using software. Matrix norms, orthogonality, eigendecomposition, SVD, LS, QRD, LDA, PCA. Not for math majors or minors. Additional work required of graduate students.
PREREQ: MAT 397
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MAT 511 - Advanced Calculus College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Partial derivatives, implicit functions, integration in several variables, line and surface integrals.
PREREQ: (MAT 331 AND 397) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 512 - Introduction to Real Analysis II College of Arts and Sciences
3 credit(s) Every semester
Real-number system, set theory and elementary topological properties of the real line, continuity and differentiability, sequences and series, uniform convergence, Riemann integration, and improper integrals.
PREREQ: MAT 412 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 513 - Introduction to Complex Analysis College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Complex number system and its arithmetic, geometric representation. Linear transformations. Analytic functions and the Cauchy-Riemann equations. Integration and Cauchy’s theorem, Taylor and Laurent series, singularities, poles, and residues. Applications.
PREREQ: MAT 412 OR MAT 511 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 517 - Partial Differential Equations and Fourier Series College of Arts and Sciences
3 credit(s) Every semester
Partial differential equations, boundary-value problems, Fourier series and orthogonal expansions, Bessel functions, and Legendre polynomials.
PREREQ: MAT 485 OR 414 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 518 - Fourier Series, Transforms and Wavelets College of Arts and Sciences
3 credit(s) Irregularly
Orthogonal functions, Fourier series, Fourier transforms-continuous and discrete, Haar wavelets and multiresolution analysis, applications to signal processing. Additional work required of graduate students.
PREREQ: MAT 331 OR MAT 485 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 521 - Introduction to Probability College of Arts and Sciences
3 credit(s) Every semester
Algebra of sets. Probability in finite sample spaces. Binomial and multinomial coefficients. Random variables. Expected value and standard deviation. Density functions. Statistical applications.
PREREQ: MAT 397 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 523 - Statistical Methods for Data Science College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Statistical methods (such as hypothesis testing, parameter estimation, regression, ANOVA, sampling, experimental design) required for data science. Emphasis on applications and using software. Additional work required for graduate students.
PREREQ: MAT 397 AND (MAT 222 OR CIS 321 OR MAT 421 OR MAT 521)
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MAT 524 - Regression Analysis College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Concept, theory, methods, and applications of simple linear regression, multiple linear regression, and logistic regression models; Parameter estimation and testing, Prediction, Regression diagnostics and model adequacy checking, Variable selection and model building.
PREREQ: MAT 331 and (MAT 222 or MAT 421 or MAT 525)
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MAT 525 - Mathematical Statistics College of Arts and Sciences
3 credit(s) Every semester
Estimation and confidence intervals. Normal distribution and central limit theorem. Testing hypotheses, chi-square, t, and F distributions. Least squares, regression, and correlation.
PREREQ: MAT 521 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 526 - Introduction to Stochastic Processes College of Arts and Sciences
3 credit(s) Every semester
Discrete time Markov chains, Poisson process, continuous time Markov chains and other selected stochastic processes.
PREREQ: MAT 521 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 527 - Analysis of Variance and Experimental Design Analysis of Variance and Experimental Design
3 credit(s) At least 1x fall or spring
One-way, two-way, and multi-way analysis of variance, analysis of covariance, random/mixed effect models, repeated measure analysis, and special designs such as a randomized block design, an incomplete block design, Latin square, and a nested design.
PREREQ: MAT 222 or MAT 421 or MAT 525
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MAT 528 - Probability Models for Actuarial Science College of Arts and Sciences
3 credit(s) Irregularly
Applied probability focusing on distributions for actuarial applications. Conditional expectation. Moment generating functions. Limit theorems. Loss and Survival models. Parametric and Non-Parametric estimation. Model assessment. Benefit reserves and risk measures. Additional work required of graduate students.
PREREQ: MAT 521
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MAT 529 - Introduction to Bayesian Statistics Introduction to Bayesian Statistics
3 credit(s) Irregularly
Concepts of prior and posterior, Bayesian inference for binomial and Poisson distributions, Monte Carlo approximation, Bayesian inference for normal distribution, Gibbs sampling, hierarchical models, multivariate normal distribution, Metropolis-Hastings algorithms, linear regression models.
PREREQ: MAT 296, MAT 331, MAT 422, and MAT 525
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MAT 531 - Second Course in Linear Algebra College of Arts and Sciences
3 credit(s) Every semester
Abstract vector spaces and inner product spaces, linear transformations and linear operators, eigenvalues and diagonalization. Primarily for mathematics majors.
PREREQ: ((MAT 375 OR CIS 375) AND MAT 331) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 532 - Applied Linear Algebra College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Factorization of matrices, eigenvalues and eigenvectors, orthogonality. Applications of matrices to such topics as least-squares approximation, fast Fourier transform, difference and differential equations, linear programming, networks, game theory.
PREREQ: MAT 331 OR 485 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 534 - Introduction to Abstract Algebra College of Arts and Sciences
3 credit(s) Every semester
Theory of groups, rings, and fields, including the integers and polynomial rings.
PREREQ: MAT 531 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 541 - Introduction to Number Theory College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Prime numbers, greatest common divisors, congruences. Euler’s function, Fermat’s theorem, primitive roots, indices, quadratic residues, Legendre and Jacobi symbols, and the quadratic reciprocity law.
PREREQ: ((MAT 375 OR CIS 375) AND MAT 331) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 545 - Introduction to Combinatorics College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Crosslisted with: CIS 545
Permutations, combinations, recurrence relations, generating functions, inclusion-exclusion and applications, introductory graph theory.
PREREQ: MAT 375 OR CIS 375 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 551 - Fundamental Concepts of Geometry College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Synthetic projective geometries. Coordinate systems for projective spaces. Algebraic representation of projective transformations; euclidean, non-euclidean, and affine geometries as real cases of projective geometry.
PREREQ: ((MAT 375 OR CIS 375) AND MAT 331) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 554 - Differential Geometry College of Arts and Sciences
3 credit(s) Irregularly
Theory of curves in three-dimensional space, including Frenet’s formula, Gaussian and mean curvature, geodesics, developable surfaces, special conformal mappings.
PREREQ: MAT 412 OR MAT 511 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 562 - Elementary Topology College of Arts and Sciences
3 credit(s) Irregularly
Metrics and metric spaces, topologies and topological spaces, separation properties, compactness, connectedness, and continuity.
PREREQ: ((MAT 375 OR CIS 275) AND MAT 412) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 581 - Numerical Methods with Programming College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Approximation methods for solution of nonlinear equations. Interpolation problems. Numerical integration. Solution of ordinary differential equations. Error analysis and writing computer programs. Primarily for mathematics and engineering students.
PREREQ: MAT 397 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 593 - History of Mathematics College of Arts and Sciences
3 credit(s) Irregularly
Mathematical concepts in their historical perspective. Character and contributions of the great mathematicians and relation of mathematics to other sciences.
PREREQ: (MAT 397 AND AT LEAST TWO 500-LEVEL MATH COURSES) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 598 - Statistics Seminar Statistics Seminar
3 credit(s) At least 1x fall or spring
In-depth investigation of one or more statistical topics, applications of statistical methods and tools, real-world data analysis project using software, comprehensive presentation of project findings.
PREREQ: MAT 422, MAT 525 , MAT 525 , and MAT 527
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MAT 599 - Senior Seminar in Mathematics College of Arts and Sciences
3 credit(s) Irregularly
Topic Chosen by the instructor. Permission of department.
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MAT 601 - Fundamentals of Analysis I College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Real and complex numbers, elementary point set topology, sequences and series, continuity, differentiation.
PREREQ: MAT 512 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 602 - Fundamentals of Analysis II College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Riemann-Stieltjes integration, functional sequences and series, functions of several variables.
PREREQ: (MAT 601 AND MAT 631 ) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 631 - Introduction to Algebra I College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Linear algebra, linear transformations, eigenvectors, diagonalization, inner product spaces, groups, quotient groups, group actions, Sylow theorems, finitely generated Abelian groups, rings, unique factorization domains, finitely generated modules over principal ideal domains, fields, Galois theory.
PREREQ: (MAT 531 AND MAT 534 ) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 632 - Introduction to Algebra II College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Continuation of MAT 631 .
PREREQ: MAT 631 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 645 - Graph Theory College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Crosslisted with: CIS 645
Fundamentals of graph theory and special topics including networks, matching, connectivity, planarity, and automorphism groups.
PREREQ: MAT 531 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 646 - Enumeration, Designs, and Matroids College of Arts and Sciences
3 credit(s) Irregularly
Crosslisted with: CIS 646
Generating functions, Polya enumeration, set systems, design parameters, finite projective planes, matroids.
PREREQ: MAT 531 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 651 - Probability and Statistics I College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Calculus of probabilities, univariate and multivariate random variables and distribution functions, expectations and variance, conditional distributions, transformations of random variables, characteristic functions, basic limit theorems including Borel-Cantelli, Khinchin, Lindeberg- Feller.
PREREQ: MAT 521 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 652 - Probability and Statistics II College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Point and interval estimation, consistent, efficient, and sufficient statistics, Rao-Blackwellization, hypothesis testing, brief treatment of ranking and selection, decision theory.
PREREQ: MAT 651 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 653 - Statistical Simulation and Nonstandard Data Analysis College of Arts and Sciences
3 credit(s) Irregularly
Simulation and Monte Carlo techniques appropriate where statistical theory does not yet provide a solution. Design and analysis of experiments under nonstandard conditions.
PREREQ: MAT 651 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 654 - Linear Models College of Arts and Sciences
3 credit(s) Irregularly
Point estimation by least squares, regression, curve fitting, testing a linear hypothesis, analysis of variance, simple experimental designs.
PREREQ: (MAT 525 AND MAT 531 ) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 661 - Introduction to Topology College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Topological spaces, continuous mappings, compactness, connectedness, path connectedness, separation axioms, metric spaces, quotient spaces, CW complexes, the fundamental group, and the classification of 2-dimensional manifolds.
PREREQ: MAT 512 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 682 - Numerical Linear Algebra College of Arts and Sciences
3 credit(s) Odd academic yr e.g. 2007-8
Solution of linear equations. Norms and conditioning. Calculation of eigenvalues and eigenvectors. Least squares approximation and orthogonal functions. Error analysis and writing computer programs.
PREREQ: MAT 511 AND MAT 531
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MAT 683 - Methods of Numerical Analysis I College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Numerical methods of interpolation, approximation, integration, and differentiation, solutions of nonlinear equations.
PREREQ: MAT 512 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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MAT 684 - Methods of Numerical Analysis II College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Analysis of numerical methods for approximating solutions of ordinary and partial differential equations.
PREREQ: MAT 683 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
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