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  • MATH 310: Complex Analysis

    3.00 Credits
    Wellesley College

    NOT OFFERED IN 2009-10. This course offers a rigorous treatment of complex analysis of one variable. Topics include complex numbers and functions, analyticity, Cauchy's integral formula and its consequences, Taylor and Laurent series, the residue theorem, the principle of the argument and Rouché's theorem. Other subjects may include conformal mappings, asymptotic series and infinite products. The course will be conducted at the level of both theory and computatio n. Prerequisite: 302 Distribution: Mathematical Modeling Semester: N/O Unit: 1.0
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  • MATH 312: Differential Geometry

    3.00 Credits
    Wellesley College

    Kerr Differential geometry has two aspects. Classical differential geometry, which shares origins with the beginnings of calculus, is the study of local properties of curves and surfaces. Local properties are those properties which depend only on the behavior of the curve or the sur-face in a neighborhood of point. The other aspect is global differential geometry: here we see how these local properties influence the be-havior of the entire curve or surface. The main idea is that of curvature. What is curvature It can be intrinsic or extrinsic. What's the differ-ence What does it mean to have greater or smaller (or positive or negative) curvature We will answer these questions for surfaces in three-space, as well as for abstract manifolds. Topics include curvature of curves and surfaces, first and second fundamental forms, equa-tions of Gauss and Codazzi, the fundamental theorem of surfaces, geodesics, and surfaces of constant curvature. Prerequisite: 206 or by permission of the instructor. Not open to students who have taken [212]. Distribution: Mathematical Modeling. Semester: Fall Unit: 1.0
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  • MATH 325: Graph Theory

    3.00 Credits
    Wellesley College

    Trenk Graph Theory has origins both in recreational mathematics problems (i.e., puzzles and games) and as a tool to solve practical problems in many areas of society. Topics include: trees, connectivity, Hamiltonian cycles, directed graphs and tournaments, vertex and edge coloring, matchings, extremal graph theory. Students will be expected to experiment and formulate conjectures. Majors can fulfill the major presen-tation requirement in this course in 2009-10. Prerequisite: 225 and either 302 or 305. Not open to students who have taken this course as a topic of 349. Distribution: Mathematical Modeling. Semester: Spring Unit: 1.0
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  • MATH 349: Selected Topics

    3.00 Credits
    Wellesley College

    Shultz Topic for 2009-10: Advanced Linear Algebra. Linear algebra at this more advanced level is a basic tool in many areas of mathematics and other fields. The course begins by revisiting some linear algebra concepts from Math 206 in a more sophisticated way, making use of the mathematical maturity picked up in Math 305. Such topics include vector spaces, linear independence, bases, and dimension, linear transformations, and inner product spaces. Then we will turn to new notions, including dual spaces, reflexivity, annihilators, direct sums and quotients, tensor products, and multilinear forms. One of the main goals of the course is the derivation of canonical forms, including triangular form and Jordan canonical form. These are methods of analyzing matrices that are more general and powerful than diagonaliza-tion (studied in Math 206). We will also discuss the spectral theorem, the best example of successful diagonalization and its applications. Prerequisite: 305 Distribution: Mathematical Modeling Semester: Fall Unit: 1.0
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  • MATH 350: Research or Individual Study

    3.00 Credits
    Wellesley College

    Prerequisite: Open to juniors and seniors by permission. Distribution: None Semester: Fall, Spring Unit: 1.0
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  • MATH 360: Senior Thesis Research

    3.00 Credits
    Wellesley College

    Prerequisite: By permission of department. See Academic Distinctions. Distribution: None Semester: Fall, Spring Unit: 1.0
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  • MATH 370: Senior Thesis

    3.00 Credits
    Wellesley College

    Prerequisite: 360 and permission of department. Distribution: None Semester: Fall, Spring Unit: 1.0
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  • ME 246: Monsters,Villains,and Wives

    3.00 Credits
    Wellesley College

    Lynch (English) This course will select its monsters, villains, and wives from early English, French, and Anglo-Norman literature, ranging from the giant Grendel (and his mother) in Beowulf to the arch-villain Ganelon in The Song of Roland, from Guinevere to the wife of the enigmatic Green Man in Sir Gawain and the Green Knight. We will finish by considering the survival of the magical villain in a modern-day fantasy classic like the medievalist J.R.R. Tolkien's Hobbit, or a volume in his Lord of the Rings trilogy, and in John Gardner's recasting of th e Beowul f story , Grendel . Prerequisite: None Distribution: Language and Literature Semester: Spring Unit: 1.0
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  • ME 247: Arthurian Legends

    3.00 Credits
    Wellesley College

    Wall-Randell (English) NOT OFFERED IN 2009-10. The legends of King Arthur and the knights of the Round Table, with their themes of chivalry, magic, friend-ship, war, adventure, corruption, and nostalgia, as well as romantic love and betrayal, make up one of the most influential and enduring mythologies in European culture. This course will examine literary interpretations of the Arthurian legend, in history, epic, and romance, from the sixth century through the sixteenth. We will also consider some later examples of Arthuriana, on page and movie screen, in the Victorian and modern periods. Prerequisite: None Distribution: Language and Literature Semester: N/O Unit: 1.0
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  • ME 248: Medieval Women Writers

    3.00 Credits
    Wellesley College

    NOT OFFERED IN 2009-10. This course explores a variety of texts by medieval women writers and the contexts in which and against which they were written. These texts raise questions about the role of the female body and about strategies of self-authorization which remain important today. The writers we will consider in depth are Marie de France, Heloise (and Abelard), selected medieval mystics, Mar-gery Kempe, Julian of Norwich, and Christine de Pizan. Prerequisite: None Distribution: Language and Literature Semester: N/O Unit: 1.0
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