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Literature (Graduate Course) |
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LIT-635 Advanced Studies in African American Literature (3)
Topics vary by section. Rotating topics on the movements, forms, and theories of African American literary and cultural expression from the Middle Passage to the present in historical context, with emphasis on research. Crosslist: LIT-435 . Repeatable for credit with different topic.
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LIT-637 Advanced Studies in Restoration and Eighteenth Century Literature (3)
Topics vary by section. In seventeenth and eighteenth century Britain new literary forms, such as the novel and the autobiography, responded to the far-reaching changes in philosophy, politics, and religion of the Restoration and Enlightenment. Rotating topics include Milton, Restoration drama, and the rise of the British novel, with emphasis on research. Crosslist: LIT-437 . Repeatable for credit with different topic.
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LIT-640 Advanced Studies in Nineteenth Century Literature (3)
Topics vary by section. Rotating topics in British and European literature ranging from nineteenth century melodrama in different national traditions to the Victorian or Romantic novel, Victorian or Romantic poetry, French realism, and French Symbolist poetry, the Romantic imagination, the politics of poetry, and the Shelley circle, with emphasis on research. Crosslist: LIT-440 . Repeatable for credit with different topic.
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LIT-643 Advanced Studies in Twentieth Century Literature (3)
Topics vary by section. Rotating topics include modernist fiction and poetry, the Harlem Renaissance, postmodernism, counterculture, experimental poetry, with emphasis on research. Crosslist: LIT-443 . Repeatable for credit with different topic.
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LIT-646 Advanced Studies in Film (3)
Topics vary by section. Rotating topics include film and literature, national cinema, film genres, major filmmakers, and independent filmmakers, with emphasis on research. Crosslist: LIT-446 . Usually Offered: fall and spring. Repeatable for credit with different topic.
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LIT-650 Theories and Methodologies (3)
This course introduces students to the theories necessary for the study of literature at the graduate level. It provides wide coverage of theoretical and critical issues in the field, as well as diverse modes of pedagogy. Students learn to think self-consciously of their own theoretical and critical methodologies, and to participate in scholarly debates in the field. Usually Offered: fall.
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LIT-651 Reading in Genre: Poetry (3)
Overview of poetry from all significant literary periods; special attention paid to the history and forms of the genre. Usually Offered: alternate falls.
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LIT-652 Reading in Genre: Drama (3)
Overview of drama from all significant literary periods; special attention paid to the history and forms of the genre. Usually Offered: alternate springs.
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LIT-653 Reading in Genre: Novel (3)
Overview of the novel from all significant literary periods; special attention paid to the history and forms of the genre. Usually Offered: alternate falls.
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LIT-654 Reading in Genre: Cinema (3)
Overview of cinematic texts from all significant literary periods; special attention paid to the history and forms of the genre. Usually Offered: alternate springs.
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LIT-667 Advanced Studies in World Literature (3)
Topics vary by section. Rotating topics in a wide range of literature from around the world, with emphasis on research. Crosslist: LIT-467 . Repeatable for credit with different topic.
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LIT-681 Advanced Studies in Culture (3)
Topics vary by section. Rotating topics deal broadly with the intersection of aesthetics, politics, and culture, covering race, gender, sexuality, popular culture, or history, with emphasis on research. Crosslist: LIT-481 . Usually Offered: fall and spring. Repeatable for credit with different topic.
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LIT-690 Independent Study Project in Literature (1-6)
Permission: instructor and department chair.
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LIT-691 Graduate Internship (1-6)
Practical experience making use of students’ writing and organizational skills. Required for MFA candidates. Permission: instructor and department chair.
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LIT-696 Selected Topics: Non-Recurring (1-6)
Topics vary by section. Repeatable for credit with different topic.
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LIT-700 Advanced Fiction Workshop (3)
A writing workshop with students reading their work aloud and commenting on one another’s efforts. The instructor reserves the right to have the last word. Graduate students are expected to submit 12,500 words or more. Usually Offered: fall and spring. Repeatable for credit. Grading: Pass/Fail only. Restriction: Creative Writing (MFA) .
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LIT-701 Advanced Poetry Workshop (3)
An intensive approach to the techniques of writing verse, followed by several weeks of workshop sessions in which students’ poems receive responses from the entire class. Crosslist: Usually offered every term. Repeatable for credit. Grading: Pass/Fail only. Restriction: Creative Writing (MFA) .
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LIT-702 Creative Writing: Film Script (3)
An introduction to writing developing stories for the screen. A study of the special contributions of the writer to film art. Screenings, reading, writing, and rewriting. Crosslist: LIT-402 . Repeatable for credit.
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LIT-703 Creative Storytelling Workshop (3)
Intensive workshop in storytelling and public performance. Includes creative improvisation; research, selecting, adapting, and performing traditional folktales; developing and performing personal and family stories; working with voice, sound effects, movement, gesture, and expression; editing stories for public performance; and coaching fellow tellers. Usually Offered: alternate springs and summers. Grading: Pass/Fail only.
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LIT-704 Advanced Creative Nonfiction Workshop (3)
Topics vary by section. Intensive critical workshop in writing memoirs and personal essays, emphasizing the development of the first-person voice. Usually Offered: alternate springs. Repeatable for credit with different topic. Grading: Pass/Fail only. Restriction: Creative Writing (MFA) .
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LIT-705 Seminar on Translation (3)
Designed primarily for writers, this course introduces students to the international community of writers by providing approaches to and models for the translation of literary works as well as experience in translating. It is expected that students will learn about the use of their own language in the process. Fluency in another language is helpful but not required. Crosslist: LIT-405 . Usually Offered: spring. Restriction: Creative Writing (MFA) .
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LIT-710 The Art of Literary Journalism (3)
A workshop in which the craft of reviewing books, plays, movies, TV, art, and music is practiced. Clear expository writing is the aim, tied to established criteria for sound critical approaches in journalism. Usually Offered: fall. Repeatable for credit. Prerequisite/Concurrent: at least 18 credit hours. Restriction: Creative Writing (MFA) .
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LIT-730 Teaching Composition (3)
An introduction to the field of composition studies as well as the theory and practices of teaching academic writing. Students wrestle with fundamental questions about writing and the personal, social, and cultural dimensions of literacy; explore the nature of written discourse, the composing process, and learning; and discuss issues and examine current approaches in teaching for contemporary composition classrooms. Usually Offered: fall.
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LIT-731 Teaching of Writing Practicum (3)
An internship with a Writing Studies Program instructor and ongoing study in composition studies to prepare for teaching academic writing. Usually Offered: spring. Grading: Pass/Fail only. Prerequisite: LIT-730 .
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LIT-732 Seminar in Literary Theory (3)
Topics vary by section. Provides a methodological basis for theoretical approaches to literary studies and focuses on critical issues in the study of literature. Topics include the history of aesthetics, contemporary literary theory, and feminist theory. Usually Offered: fall. Repeatable for credit with different topic.
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LIT-733 Special Topics in Literature (3)
Topics vary by section. Focuses on thematic and theoretical approaches to literature that traverse historical periods and national boundaries. Repeatable for credit with different topic.
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LIT-735 Seminar in Renaissance and Seventeenth Century Literature (3)
Topics vary by section. Varies in content to cover English, European, or American colonial literature. Usually Offered: alternate falls. Repeatable for credit with different topic.
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LIT-736 Seminar in Eighteenth Century Literature (3)
Topics vary by section. Varies in content to cover English, European, or American literature. Usually Offered: alternate springs. Repeatable for credit with different topic.
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LIT-737 Seminar in Nineteenth Century Literature (3)
Topics vary by section. Varies in content to cover English, American, or world literature. Usually Offered: alternate falls. Repeatable for credit with different topic.
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LIT-738 Seminar in Twentieth Century Literature (3)
Topics vary by section. Varies in content to cover English, American, or world literature. Usually Offered: alternate springs. Repeatable for credit with different topic.
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LIT-750 Folger Seminar in Renaissance and Eighteenth Century Studies (3)
An exploration of Renaissance and eighteenth century themes offered through the Folger Institute. Students draw on materials available in the Folger Library collections for their research. Usually Offered: fall and spring. Permission: department. Note: Students must apply directly to the Folger Institute to be admitted to the seminar; consult the department for more information.
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LIT-793 Directed Research in Literature (3)
Students work closely with a faculty member on a scholarly article (20-35 pages) developed from a paper originally submitted for a graduate literature course, with the potential for publication in a scholarly journal. Students enhance their skills in conducting research and/or situating an idea within current scholarly dialogue in the field. Usually Offered: fall and spring. Permission: instructor.
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LIT-796 Selected Topics: Non-Recurring (1-6)
Topics vary by section. Repeatable for credit with different topic.
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LIT-797 Master’s Thesis Seminar (1-6)
Grading: SP/UP only.
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Mathematics (Undergraduate Courses) |
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MATH-150 Finite Mathematics (3)
Review of algebra, sets, linear equations and inequalities, nonlinear inequalities, interest problems, systems of linear equations, functions and graphs, and elementary data analysis. Usually Offered: fall and spring. Note: Registration eligibility determined by appropriate score on the Mathematics Placement test. For students who need extra work on mathematical skills. No credit toward mathematics major. Students may not receive credit for more than one course numbered MATH-15x.
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MATH-151 Finite Mathematics (3)
Review of algebra, sets, linear equations and inequalities, nonlinear inequalities, interest problems, systems of linear equations, functions and graphs, and elementary data analysis. Usually Offered: fall, spring, and summer. Note: Registration eligibility determined by appropriate score on the Mathematics Placement test. No credit toward mathematics major. Students may not receive credit for more than one course numbered MATH-15x.
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MATH-154 Great Ideas in Mathematics (4)
This course explores a sample of beautiful branches of modern mathematics, concentrating on conceptual underpinnings rather than technical aspects. Includes study of infinity, number theory, fractals, and modern geometry, among other mathematical ideas. The course focuses on verbal and written communication skills and problem solving. Note: Registration eligibility determined by appropriate score on the Mathematics Placement test. No credit toward mathematics major. Students may not receive credit for more than one course numbered MATH-15x.
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MATH-155 Elementary Mathematical Models (3)
Study of mathematical subjects including linear, quadratic, polynomial, rational, exponential, and logarithmic functions, in the context of difference equations models. Emphasizes concepts and applications using numerical, graphical, and theoretical methods. Also includes an introduction to the mathematical subject of chaos. Usually Offered: fall and spring. Note: Registration eligibility determined by appropriate score on the Mathematics Placement test. No credit toward mathematics major. Students may not receive credit for more than one course numbered MATH-15x.
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MATH-160 Applied Precalculus (3)
Fundamentals of algebraic, exponential, and logarithmic functions with emphasis on applications to problems in business and economics and the natural sciences. Usually Offered: fall and spring. Note: Registration eligibility determined by appropriate score on the Mathematics Placement test. Intended primarily for students planning to take MATH-211 Applied Calculus I (4) . No credit toward mathematics major. Students may not receive credit toward a degree for both MATH-160 and MATH-170 .
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MATH-170 Precalculus Mathematics (3)
Fundamentals of algebraic, logarithmic, exponential, and trigonometric functions. Usually Offered: fall and spring. Note: Registration eligibility determined by appropriate score on the Mathematics Placement test. Intended primarily for students planning to take MATH-221 Calculus I (4) . Students may not receive credit toward a degree for both MATH-160 and MATH-170.
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MATH-196 Selected Topics: Non-Recurring (1-6)
Topics vary by section. Repeatable for credit with different topic.
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MATH-211 Applied Calculus I (4)
Functions, differentiation, and integration. Applications to several areas, especially business. Usually Offered: fall, spring, and summer. Prerequisite: MATH-160 or MATH-170 . Note: Registration eligibility may be determined by appropriate score on the Mathematics Placement test. Credit toward a major in the Department of Mathematics and Statistics requires departmental approval. Students may not receive credit toward a degree for both MATH-211 and MATH-221 .
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MATH-220 Bridge from Applied Calculus I to Calculus II (1)
This course prepares students who have taken MATH-211 Applied Calculus I to continue on to MATH-222 Calculus II. Material covered includes the study of trigonometric functions, limits and continuity, and the differentiation and integration of a variety of functions, with a focus on mathematical rigor and algebraic proficiency. Grading: Pass/Fail only. Prerequisite: MATH-211 with a grade of B or better.
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MATH-221 Calculus I (4)
Real numbers; coordinate systems; functions; limits and continuity; differentiation and applications; trigonometric functions; indefinite and definite integration and applications; fundamental theorem of integral calculus. Usually Offered: fall, spring, and summer. Prerequisite: MATH-170 . Note: Registration eligibility may be determined by appropriate score on the Mathematics Placement test. Students may not receive credit toward a degree for both MATH-221 and MATH-211 .
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MATH-222 Calculus II (4)
Techniques of integration, calculus of exponential and logarithmic functions, infinite series, power series representations, and analytic geometry. Usually Offered: fall and spring. Prerequisite: MATH-211 or MATH-221 . Note: Registration eligibility may be determined by appropriate score on the Mathematics Placement test.
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MATH-294 Community Service-Learning Project (1)
Grading: Pass/Fail only. Permission: instructor and Center for Community Engagement & Service.
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MATH-296 Selected Topics: Non-Recurring (1-6)
Topics vary by section. Repeatable for credit with different topic.
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MATH-310 Linear Algebra (3)
Vector spaces, systems of linear equations, solutions by matrices, determinants, linear transformations, and algebraic forms. Usually Offered: fall and spring. Prerequisite/Concurrent: MATH-222 .
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MATH-313 Calculus III (4)
Vectors, functions of several variables, partial differentiation, and multiple integrals. Usually Offered: fall and spring. Prerequisite: MATH-222 .
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MATH-321 Differential Equations (3)
First order equations, linear equations of higher order, solutions in series, Laplace transforms, numerical methods, and applications to mechanics, electrical circuits, and biology. Usually Offered: fall. Prerequisite/Concurrent: MATH-313 and MATH-310 .
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MATH-345 Introduction to Game Theory (3)
This course explores applications such as auctions, firm competition, and voting with mathematical analysis. It includes Nash equilibrium, subgame perfect equilibrium, evolutionary stability, repeated games, signaling, mechanism design, uncertainty, and behavioral game theory. Crosslist: ECON-345 . Usually Offered: fall. Prerequisite: ECON-200 , and MATH-211 or MATH-221 . Note: This course does not fulfill the University Mathematics Requirement.
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MATH-390 Independent Reading Course in Mathematics (1-6)
Permission: instructor and department chair.
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MATH-396 Selected Topics: Non-Recurring (1-6)
Topics vary by section. Repeatable for credit with different topic.
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MATH-401 Probability (3)
Algebra of sets; probability in discrete sample spaces; combinatorial analysis; random variables; binomial, Poisson, normal, and other distributions; and applications. Usually Offered: fall. Prerequisite: MATH-313 (may be taken concurrently).
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MATH-403 Foundations of Mathematics (3)
An introduction to the proof-based methodology of advanced mathematics courses, with emphasis on the fundamentals of logic and set theory (truth-tables and quantifiers, Boolean operations, functions, relations, and cardinality); elementary number theory (mathematical induction and modular arithmetic), and structural properties of the fields of real and complex numbers. Crosslist: MATH-603 . Usually Offered: fall and spring. Prerequisite: MATH-222 .
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MATH-404 Advanced Calculus of Several Variables (3)
Vector- functions of several variables, limits and continuity, differentials and tangent plane, implicit and inverse functions, line and surface integrals, gradient, divergent, curl, Stoke’s and Green’s theorems. Crosslist: MATH-604 . Usually Offered: alternate springs (odd years). Prerequisite: MATH-310 , MATH-313 and MATH-403 .
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MATH-405 Mathematical Logic (3)
The mathematical study of the scope and limits of deductive reasoning with special attention to propositional and first order logic, leading to results concerning completeness, compactness, and the existence of decision procedures for various logical systems, culminating in the incompleteness theorems of Godel. Crosslist: MATH-605 . Usually Offered: alternate falls (even years). Prerequisite: MATH-403 .
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MATH-410 Geometry (3)
Euclidean and non-Euclidean (spherical, elliptic, and hyperbolic) geometries from axiomatic and analytic points of view. Includes isometrics, transformation groups, symmetry groups, quadratic forms, projective geometry, as well as some historical background. Crosslist: MATH-610 . Usually Offered: alternate falls (even years). Prerequisite: MATH-310 .
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MATH-412 Introduction to Modern Algebra (3)
An introduction to the study of abstract algebraic structures. Includes groups, subgroup, quotient groups, homomorphisms, rings, ideals, fields, and group actions and Sylow theory. Crosslist: MATH-612 . Usually Offered: fall. Prerequisite: MATH-403 .
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MATH-413 Rings and Fields (3)
An advanced study of rings and fields with a focus on polynomials and their roots. Includes ring theory, factorization, polynomials, field theory, ruler and compass constructions, Galois theory, and solvability of polynomials. Crosslist: MATH-613 . Usually Offered: alternate springs (odd years). Prerequisite: MATH-412 .
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MATH-415 Number Theory (3)
Divisibility, fundamental theorem of arithmetic, congruences, arithmetic functions, Diophantine equations, quadratic residues, sums of squares, and partitions. Crosslist: MATH-615 . Usually Offered: alternate falls. Prerequisite: MATH-403 .
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MATH-420 Introduction to Analysis (3)
This course develops the foundations of mathematical analysis by focusing on the real numbers as a complete ordered field, infinite sequences and series, limits and continuity, and key theorems of the differential and integral calculus. Crosslist: MATH-620 . Usually Offered: fall. Prerequisite: MATH-403 .
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MATH-421 Measure Theory and Integration (3)
This course presents the fundamental concepts and techniques of measure theory. It includes Borel sets, measures, measurable sets and functions, integrals as measures, Lp spaces, modes of convergence, and decomposition and generation of measures (including product measure). Crosslist: MATH-621 . Usually Offered: alternate springs (even years). Prerequisite: MATH-403 and MATH-420 .
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MATH-428 Competitive Mathematics (1)
This course prepares students for competitions in mathematics, in particular the William Lowell Putnam Mathematics Competition. The class studies how to approach problems that may at first appear impossible. Students become familiar with techniques from diverse areas of mathematics to attack these problems. Usually Offered: fall. Prerequisite: MATH-222 .
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MATH-440 Topology (3)
Topological spaces, continuity, compactness, connectedness, and metric spaces. Crosslist: MATH-640 . Usually Offered: alternate falls (odd years). Prerequisite: MATH-403 .
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MATH-450 Complex Analysis (3)
Complex functions, Cauchy’s theorem and integral formulae, Taylor and Laurent series, residue calculus and contour integration, and conformal mapping. Crosslist: MATH-650 . Usually Offered: spring. Prerequisite: MATH-313 and MATH-403 .
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MATH-451 Partial Differential Equations (3)
Fourier series, orthonormal systems, wave equation, vibrating strings and membranes, heat equation, Laplace’s equation, harmonic and Green functions. Crosslist: MATH-651 . Usually Offered: alternate springs (odd years). Prerequisite: MATH-321 .
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MATH-460 Tools of Scientific Computing (3)
Designed to teach scientific rigor in the use of computers and/or computational tools. Techniques from mathematics are introduced which lead to efficient algorithm design, algorithm analysis, data classification, data manipulation, and scientific computation. Includes data types, induction, recursion, sorting, searching, summation, optimization, asymptotic analysis, basic number theory, discrete probability, and parallel computing. Crosslist: CSC-460 . Usually Offered: fall. Prerequisite: CSC-280 , MATH-221 , and MATH-222 .
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MATH-465 Numerical Analysis: Basic Problems (3)
Computer arithmetic and error analysis in computation, matrix decomposition methods in solving systems of linear equations and linear least squares problems, polynomial approximation and polynomial data fitting, iterative algorithms for solving nonlinear equations, and numerical differentiation and integration. Crosslist: MATH-665 . Usually Offered: alternate falls (even years). Prerequisite: CSC-280 , MATH-222 , and MATH-310 .
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MATH-470 History of Mathematics (3)
This course surveys aspects of historical development of mathematics from ancient to modern times and examines the ideological, social, and cultural forces which shaped this development. By providing historical continuity, the course interrelates and unifies the major subject areas such as algebra, calculus and analysis, geometry, number theory, probability, set theory, and the foundation of mathematics. Crosslist: MATH-670 . Usually Offered: alternate springs (even years). Prerequisite: MATH-222 .
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MATH-480 Advanced Topics in Mathematics (3)
Topics vary by section. Intensive courses in a specialized area of mathematics. Crosslist: MATH-680 . Repeatable for credit with different topic.
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MATH-490 Independent Study Project in Mathematics (1-6)
Permission: instructor and department chair.
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MATH-491 Internship (1-6)
Permission: instructor and department chair.
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MATH-496 Selected Topics: Non-Recurring (1-6)
Topics vary by section. Repeatable for credit with different topic.
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Mathematics (Graduate and Advanced Undergraduate Courses) |
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MATH-096 Selected Topics: Non-Recurring (0)
Topics vary by section. Repeatable for credit with different topic.
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MATH-565 Mathematical Applications of Interest and Derivatives (3)
Mathematical study of finance, including theory of interest, arbitrage theorem, random walk models of prices, options, Black-Scholes formula and consequences. Crosslist: ECON-565 . Usually Offered: alternate falls (even years). Grading: A-F only. Prerequisite: MATH-221 , MATH-222 , MATH-313 , and STAT-202 or STAT-203 .
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Mathematics (Graduate Courses) |
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MATH-601 Harmonic Analysis (3)
Harmonic analysis on the circle, the real line, and on groups. The main concepts are: periodic functions, Fourier series, Fourier transform and spherical harmonics. The course includes a brief account of the necessary ingredients from the theory of the Lebesgue integral. Usually Offered: alternate springs (even years). Prerequisite: MATH-603 .
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MATH-603 Foundations of Mathematics (3)
An introduction to the proof-based methodology of advanced mathematics courses, with emphasis on the fundamentals of logic and set theory (truth-tables and quantifiers, Boolean operations, functions, relations, and cardinality); elementary number theory (mathematical induction and modular arithmetic), and structural properties of the fields of real and complex numbers. Crosslist: MATH-403 . Usually Offered: fall and spring.
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MATH-604 Advanced Calculus of Several Variables (3)
Vector-functions of several variables, limits and continuity, differentials and tangent plane, implicit and inverse functions, line and surface integrals, gradient, divergent, curl, Stoke’s and Green’s theorems. Crosslist: MATH-404 . Usually Offered: alternate springs (odd years). Prerequisite: MATH-603 .
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MATH-605 Mathematical Logic (3)
The mathematical study of the scope and limits of deductive reasoning with special attention to propositional and first order logic, leading to results concerning completeness, compactness, and the existence of decision procedures for various logical systems, culminating in the incompleteness theorems of Godel. Crosslist: MATH-405 . Usually Offered: alternate falls (even years). Prerequisite: MATH-603 .
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MATH-610 Geometry (3)
Euclidean and non-Euclidean (spherical, elliptic and hyperbolic) geometries from axiomatic and analytic points of view. Includes isometrics, transformation groups, symmetry groups, quadratic forms, projective geometry, as well as some historical background. Crosslist: MATH-410 . Usually Offered: alternate falls (even years).
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MATH-612 Introduction to Modern Algebra (3)
An introduction to the study of abstract algebraic structures. Includes groups, subgroup, quotient groups, homomorphisms, rings, ideals, fields, and group actions and Sylow theory. Crosslist: MATH-412 . Usually Offered: fall. Prerequisite: MATH-603 .
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MATH-613 Rings and Fields (3)
An advanced study of rings and fields with a focus on polynomials and their roots. Includes ring theory, factorization, polynomials, field theory, ruler and compass constructions, Galois theory, and solvability of polynomials. Crosslist: MATH-413 . Usually Offered: alternate springs (odd years). Prerequisite: MATH-612 .
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MATH-615 Number Theory (3)
Divisibility, fundamental theorem of arithmetic, congruences, arithmetic functions, Diophantine equations, quadratic residues, sums of squares, and partitions. Crosslist: MATH-415 . Usually Offered: alternate falls. Prerequisite: MATH-603 .
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MATH-616 Crytography (3)
This course introduces fundamental mathematical ideas that are central to cryptography and related fields. The course covers how these ideas have been employed to create algorithms to encrypt information and analyzes the security and efficiency of these algorithms. The approach involves a blend of theoretical analysis and hands-on exploration and implementation. Usually Offered: fall. Grading: A-F only. Prerequisite: MATH-603 .
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MATH-620 Introduction to Analysis (3)
This course develops the foundations of mathematical analysis by focusing on the real numbers as a complete ordered field, infinite sequences and series, limits and continuity, and key theorems of the differential and integral calculus. Crosslist: MATH-420 . Usually Offered: fall. Prerequisite: MATH-603 .
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MATH-621 Measure Theory and Integration (3)
This course presents the fundamental concepts and techniques of measure theory. It includes Borel sets, measures, measurable sets and functions, integrals as measures, Lp spaces, modes of convergence, and decomposition and generation of measures (including product measure). Crosslist: MATH-421 . Usually Offered: alternate springs (even years). Prerequisite: MATH-603 and MATH-620 .
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MATH-631 Information Theory (3)
The processing, storage, and communication of information, addressing two fundamental questions in the communication and storage of information, namely what are the limits on information compression (the entropy) and what is the best rate of information (the channel capacity). This course develops the mathematical foundations of information theory, including entropy and mutual information, partitioning and equipartitioning, data representation and compression, channel capacity, and dealing with distortion and noise. Usually Offered: fall. Grading: A-F only. Prerequisite: MATH-620 .
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MATH-640 Topology (3)
Topological spaces, continuity, compactness, connectedness, and metric spaces. Crosslist: MATH-440 . Usually Offered: alternate falls (odd years). Prerequisite: MATH-603 .
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MATH-650 Complex Variables (3)
Complex functions, Cauchy’s theorem and integral formulae, Taylor and Laurent series, residue calculus and contour integration, and conformal mapping. Crosslist: MATH-450 . Usually Offered: spring. Prerequisite: MATH-603 .
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MATH-651 Partial Differential Equations (3)
Fourier series, orthonormal systems, wave equation, vibrating strings and membranes, heat equation, Laplace’s equation, harmonic and Green functions. Crosslist: MATH-451 . Usually Offered: alternate springs (odd years).
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MATH-660 Tools of Scientific Computing (3)
Designed to teach scientific rigor in the use of computers and/or computational tools. Techniques from mathematics are introduced which lead to efficient algorithm design, algorithm analysis, data classification, data manipulation, and scientific computation. Includes data types, induction, recursion, sorting, searching, summation, optimization, asymptotic analysis, basic number theory, discrete probability, and parallel computing. Crosslist: MATH-460 and CSC-460 /CSC-660 . Usually Offered: fall. Grading: A-F only. Permission: department.
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MATH-665 Numerical Analysis: Basic Problems (3)
Computer arithmetic and error analysis in computation, matrix decomposition methods in solving systems of linear equations and linear least squares problems, polynomial approximation and polynomial data fitting, iterative algorithms for solving nonlinear equations, and numerical differentiation and integration. Crosslist: MATH-465 . Usually Offered: alternate falls (even years).
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MATH-670 History of Mathematics (3)
This course surveys aspects of historical development of mathematics from ancient to modern times and examines the ideological, social, and cultural forces which shaped this development. By providing historical continuity, the course interrelates and unifies the major subject areas such as algebra, calculus and analysis, geometry, number theory, probability, set theory, and the foundation of mathematics. Crosslist: MATH-470 . Usually Offered: alternate springs (even years).
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MATH-680 Advanced Topics in Mathematics (3)
Topics vary by section. Intensive courses in a specialized area of mathematics. Crosslist: MATH-480 . Repeatable for credit with different topic.
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MATH-685 Practicum in Mathematics Education (3)
Seminar course in researching, implementing, and writing in publishable form an innovative teaching methodology, educational contribution, or internship in cooperating school system, college, or other organization involving teaching. Required of all students in the PhD program in mathematics education. Usually Offered: alternate springs. Repeatable for credit.
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MATH-690 Independent Study Project in Mathematics (1-6)
Permission: instructor and department chair.
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MATH-691 Internship (1-6)
Permission: instructor and department chair.
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MATH-696 Selected Topics: Non-Recurring (1-6)
Topics vary by section. Repeatable for credit with different topic.
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MATH-797 Master’s Thesis Research (1-6)
Usually Offered: fall and spring. Grading: SP/UP only.
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