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Department of Mathematics
Bryn Mawr College
Park Science Building

101 North Merion Avenue
Bryn Mawr, PA 19010-2899

Phone: 610-526-5348
FAX: 610-526-6575

Math Course Schedule 2015-2016

This page displays the schedule of Bryn Mawr courses in this department for this academic year. It also displays descriptions of courses offered by the department during the last four academic years.

For information about courses offered by other Bryn Mawr departments and programs or about courses offered by Haverford and Swarthmore Colleges, please consult the Course Guides page.

For information about the Academic Calendar, including the dates of first and second quarter courses, please visit the College's master calendar.

Fall 2016

COURSE TITLE SCHEDULE/
UNITS
MEETING TYPE TIMES/DAYS LOCATION INSTR(S)
MATH B101-001 Calculus I Semester / 1 Lecture: 9:10 AM-10:00 AM MWF Park 338 Dept. staff, TBA
MATH B101-002 Calculus I Semester / 1 Lecture: 10:10 AM-11:00 AM MWF Park 338 Dept. staff, TBA
MATH B101-003 Calculus I Semester / 1 Lecture: 11:10 AM-12:00 PM MWF Park 349 Dept. staff, TBA
MATH B102-001 Calculus II Semester / 1 Lecture: 10:10 AM-11:00 AM MWF Park 349 Dept. staff, TBA
MATH B102-002 Calculus II Semester / 1 Lecture: 9:55 AM-11:15 AM TTH Park 338 Dept. staff, TBA
MATH B201-001 Multivariable Calculus Semester / 1 Lecture: 11:10 AM-12:00 PM MWF Park 338 Dept. staff, TBA
MATH B201-002 Multivariable Calculus Semester / 1 Lecture: 12:10 PM- 1:00 PM MWF Park 338 Dept. staff, TBA
MATH B210-001 Differential Equations with Applications Semester / 1 Lecture: 10:10 AM-11:30 AM MW Park 336 Graham,E.
MATH B295-001 Select Topics in Mathematics: Game Theory Semester / 1 Lecture: 2:40 PM- 4:00 PM MW Park 336 Stromquist,W.
MATH B301-001 Real Analysis I Semester / 1 Lecture: 1:10 PM- 2:30 PM MW Park 336 Dept. staff, TBA
MATH B301-002 Real Analysis I Semester / 1 Lecture: 12:55 PM- 2:15 PM TTH Park 336 Dept. staff, TBA
MATH B303-001 Abstract Algebra I Semester / 1 Lecture: 9:10 AM-10:00 AM MWF Park 336 Dept. staff, TBA
MATH B303-002 Abstract Algebra I Semester / 1 Lecture: 8:25 AM- 9:45 AM TTH Park 349 Dept. staff, TBA
MATH B312-001 Topology Semester / 1 Lecture: 2:25 PM- 3:45 PM TTH Park 336 Traynor,L.
MATH B395-001 Research Seminar Semester / 1 Lecture: Date/Time TBA Cheng,L.
MATH B395-002 Research Seminar Semester / 1 Lecture: Date/Time TBA Donnay,V.
MATH B395-003 Research Seminar Semester / 1 Lecture: Date/Time TBA Graham,E.
MATH B395-004 Research Seminar Semester / 1 Lecture: Date/Time TBA Melvin,P.
MATH B395-005 Research Seminar Semester / 1 Lecture: Date/Time TBA Milicevic,D.
MATH B395-006 Research Seminar Semester / 1 Lecture: Date/Time TBA Traynor,L.
MATH B398-001 Senior Conference Semester / 1 Lecture: 9:55 AM-11:15 AM TTH Park 328 Dept. staff, TBA
MATH B403-001 Supervised Work Semester / 1 Dept. staff, TBA
MATH B403-001 Supervised Work Semester / 1 Dept. staff, TBA
MATH B501-001 Graduate Real Analysis I Semester / 1 Lecture: 1:10 PM- 2:30 PM MW Park 328 Milicevic,D.
MATH B701-001 Supervised Work Semester / 1
MATH B701-001 Supervised Work Semester / 1
MATH B701-002 Supervised Work Semester / 1
MATH B701-002 Supervised Work Semester / 1
MATH B701-003 Supervised Work Semester / 1
MATH B701-003 Supervised Work Semester / 1
MATH B701-004 Supervised Work Semester / 1
MATH B701-004 Supervised Work Semester / 1
MATH B701-005 Supervised Work Semester / 1
MATH B701-005 Supervised Work Semester / 1
MATH B701-006 Supervised Work Semester / 1
MATH B701-006 Supervised Work Semester / 1
MATH B702-001 Research Seminar Semester / 1
MATH B702-001 Research Seminar Semester / 1
MATH B702-002 Research Seminar Semester / 1
MATH B702-002 Research Seminar Semester / 1
MATH B702-003 Research Seminar Semester / 1
MATH B702-003 Research Seminar Semester / 1
MATH B702-004 Research Seminar Semester / 1
MATH B702-004 Research Seminar Semester / 1
MATH B702-005 Research Seminar Semester / 1
MATH B702-005 Research Seminar Semester / 1
MATH B702-006 Research Seminar Semester / 1
MATH B702-006 Research Seminar Semester / 1
CHEM B221-001 Physical Chemistry I Semester / 1 Lecture: 1:10 PM- 2:30 PM MW Park 354 Francl,M.
PHYS B306-001 Mathematical Methods in the Physical Sciences Semester / 1 Lecture: 12:10 PM- 1:00 PM MWF Park 337 Schulz,M.

Spring 2017

COURSE TITLE SCHEDULE/
UNITS
MEETING TYPE TIMES/DAYS LOCATION INSTR(S)
MATH B102-001 Calculus II Semester / 1 Lecture: 10:10 AM-11:00 AM MWF Dept. staff, TBA
MATH B102-002 Calculus II Semester / 1 Lecture: 12:10 PM- 1:00 PM MWF Dept. staff, TBA
MATH B104-001 Basic Probability and Statistics Semester / 1 Lecture: 2:40 PM- 4:00 PM MW Dept. staff, TBA
MATH B203-001 Linear Algebra Semester / 1 Lecture: 10:10 AM-11:00 AM MWF Dept. staff, TBA
MATH B203-002 Linear Algebra Semester / 1 Lecture: 12:10 PM- 1:00 PM MWF Dept. staff, TBA
MATH B203-003 Linear Algebra Semester / 1 Lecture: 1:10 PM- 2:30 PM MW Dept. staff, TBA
MATH B206-001 Transition to Higher Mathematics Semester / 1 Lecture: 11:10 AM-12:00 PM MWF Traynor,L.
MATH B295-001 Select Topics in Mathematics: History of Mathematics Semester / 1 Lecture: 10:10 AM-11:00 AM MWF Dept. staff, TBA
MATH B295-002 Select Topics in Mathematics: Codes and Ciphers Semester / 1 Lecture: 12:10 PM- 1:00 PM MWF Dept. staff, TBA
MATH B302-001 Real Analysis II Semester / 1 Lecture: 1:10 PM- 2:30 PM MW Dept. staff, TBA
MATH B304-001 Abstract Algebra II Semester / 1 Lecture: 8:25 AM- 9:45 AM TTH Dept. staff, TBA
MATH B308-001 Applied Mathematics I Semester / 1 Lecture: 2:25 PM- 3:45 PM TTH Graham,E.
MATH B396-001 Research Seminar Semester / 1 Lecture: Date/Time TBA Cheng,L.
MATH B396-002 Research Seminar Semester / 1 Lecture: Date/Time TBA Donnay,V.
MATH B396-003 Research Seminar Semester / 1 Lecture: Date/Time TBA Graham,E.
MATH B396-004 Research Seminar Semester / 1 Lecture: Date/Time TBA Melvin,P.
MATH B396-005 Research Seminar Semester / 1 Lecture: Date/Time TBA Milicevic,D.
MATH B396-006 Research Seminar Semester / 1 Lecture: Date/Time TBA Traynor,L.
MATH B399-001 Senior Conference Semester / 1 Lecture: 2:40 PM- 4:00 PM MW Dept. staff, TBA
MATH B399-002 Senior Conference Semester / 1 Lecture: 9:55 AM-11:15 AM TTH Dept. staff, TBA
MATH B502-001 Graduate Real Analysis II Semester / 1 Lecture: 1:10 PM- 2:30 PM MW Milicevic,D.
MATH B505-001 Graduate Topology I Semester / 1 Lecture: 12:55 PM- 2:15 PM TTH Melvin,P.
MATH B701-001 Supervised Work Semester / 1
MATH B701-001 Supervised Work Semester / 1
MATH B701-002 Supervised Work Semester / 1
MATH B701-002 Supervised Work Semester / 1
MATH B701-003 Supervised Work Semester / 1
MATH B701-003 Supervised Work Semester / 1
MATH B701-004 Supervised Work Semester / 1
MATH B701-004 Supervised Work Semester / 1
MATH B701-005 Supervised Work Semester / 1
MATH B701-005 Supervised Work Semester / 1
MATH B701-006 Supervised Work Semester / 1
MATH B701-006 Supervised Work Semester / 1
MATH B702-001 Research Seminar Semester / 1
MATH B702-002 Research Seminar Semester / 1
MATH B702-003 Research Seminar Semester / 1
MATH B702-004 Research Seminar Semester / 1
MATH B702-005 Research Seminar Semester / 1
MATH B702-006 Research Seminar Semester / 1
CMSC B231-001 Discrete Mathematics Semester / 1 Lecture: 11:25 AM-12:45 PM TTH Xu,D.
ECON B304-001 Econometrics Semester / 1 Lecture: 10:10 AM-11:30 AM MW Sfekas,A.

Fall 2017

(Class schedules for this semester will be posted at a later date.)

2016-17 Catalog Data

MATH B101 Calculus I Fall 2016 A first course in one-variable calculus: functions, limits, continuity, the derivative, differentiation formulas, applications of the derivative, the integral, integration by substitution, fundamental theorem of calculus. May include a computer component. Prerequisite: adequate score on calculus placement exam, or permission of the instructor. Students should have a reasonable command of high school algebra, geometry and trigonometry. Quantitative Methods (QM) Quantitative Readiness Required (QR)

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MATH B102 Calculus II Fall 2016, Spring 2017 A continuation of Calculus I: transcendental functions, techniques of integration, applications of integration, infinite sequences and series, convergence tests, power series. May include a computer component. Math 102 assumes familiarity of the content covered in Math 101 or its equivalent. Quantitative Methods (QM)

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MATH B104 Basic Probability and Statistics Spring 2017 This course introduces students to key concepts in both descriptive and inferential statistics. Students learn how to collect, describe, display, and interpret both raw and summarized data in meaningful ways. Topics include summary statistics, graphical displays, correlation, regression, probability, the law of averages, expected value, standard error, the central limit theorem, hypothesis testing, sampling procedures, and bias. Students learn to use statistical software to summarize, present, and interpret data. This course may not be taken after any other statistics course. Prerequisite: Quantitative Readiness Required. Quantitative Methods (QM) Quantitative Readiness Required (QR)

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MATH B201 Multivariable Calculus Fall 2016 Vectors and geometry in two and three dimensions, partial derivatives, extremal problems, double and triple integrals, vector analysis (gradients, curl and divergence), line and surface integrals, the theorems of Gauss, Green and Stokes. May include a computer component. Prerequisite: MATH 102 or permission of instructor. Quantitative Methods (QM)

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MATH B203 Linear Algebra Spring 2017 Systems of linear equations, matrix algebra, determinants, vector spaces and subspaces, linear independence, bases and dimension, linear transformations and their representation by matrices, eigenvectors and eigenvalues, orthogonality, and applications of linear algebra. Prerequisite or corequisite: MATH 102, or permission of the instructor. Quantitative Methods (QM)

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MATH B205 Theory of Probability with Applications Not offered 2016-17 The course analyzes repeatable "experiments," such as coin tosses or die rolls, in which the short-term outcomes are uncertain, but the long-run behavior is predictable. Such random processes are used as models for real-world phenomena to solve problems such as determining the effectiveness of a new drug, or deciding whether a series of record-high temperatures is due to the natural variation in weather or rather to climate change. Topics include: random variables, discrete distributions (binomial, geometric, negative binomial, Poisson, hypergeometric, Benford), continuous densities (exponential, gamma, normal, Maxwell, Rayleigh, chi-squared), conditional probability, expected value, variance, the Law of Large Numbers, and the Central Limit Theorem. Prerequisite: MATH B102 or the equivalent (merit score on the AP Calculus BC Exam or placement). Quantitative Methods (QM)

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MATH B206 Transition to Higher Mathematics Spring 2017 An introduction to higher mathematics with a focus on proof writing. Topics include active reading of mathematics, constructing appropriate examples, problem solving, logical reasoning, and communication of mathematics through proofs. Students will develop skills while exploring key concepts from algebra, analysis, topology, and other advanced fields. Corequisite: MATH 203; not open to students who have had a 300-level math course. Quantitative Methods (QM)

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MATH B210 Differential Equations with Applications Fall 2016 Ordinary differential equations, including general first-order equations, linear equations of higher order and systems of equations, via numerical, geometrical, and analytic methods. Applications to physics, biology, and economics. Co-requisite: MATH 201 or 203. Quantitative Methods (QM)

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MATH B221 Introduction to Topology and Geometry Not offered 2016-17 An introduction to the ideas of topology and geometry through the study of knots and surfaces in three-dimensional space. The course content may vary from year to year, but will generally include some historical perspectives and some discussion of connections with the natural and life sciences. Co-requisite: MATH 201 or 203. Quantitative Methods (QM)

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MATH B225 Introduction to Financial Mathematics Not offered 2016-17 Topics to be covered include market conventions and instruments, Black-Scholes option-pricing model, and practical aspects of trading and hedging. All necessary definitions from probability theory (random variables, normal and lognormal distribution, etc.) will be explained. Prerequisite: MATH 102. ECON 105 is recommended. Quantitative Methods (QM)

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MATH B251 Chaotic Dynamical Systems Not offered 2016-17 Topics to be covered may include iteration, orbits, graphical and computer analysis, bifurcations, symbolic dynamics, fractals, complex dynamics and applications. Prerequisite: MATH B102

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MATH B295 Select Topics in Mathematics
Section 001 (Spring 2016): Advanced Linear Algebra
Section 001 (Fall 2016): Game Theory
Section 001 (Spring 2017): History of Mathematics
Section 002 (Spring 2017): Codes and Ciphers
Section 002 (Spring 2016): Combinatorics
Section 003 (Spring 2016): Computational Modeling Fall 2016, Spring 2017 This is a topics course. Course content varies.
Current topic description: Formal models of cooperation and conflict, including negotiation, fair division, auctions, competitive and monopolistic markets, and elections; the minimax theorem for zero-sum games; the Nash equilibrium theorem; coalitions and Shapley values. Co-requisite: Math 203, or permission of instructor.
Current topic description: This course examines a collection of beautiful and significant results from the history of mathematics. These are approached much as we would approach great paintings or great novels - by introducing the creator, by describing the historical context, and then by considering the work in close detail. We include theorems from Euclid, Archimedes, Newton, and Euler, and our topics range from geometry to number theory to calculus. The course thus features biography and history, but at its heart is a careful examination of some of the foremost mathematical landmarks of all time. Prerequisites: Students should have completed at least one mathematics class at the 200 level.
Current topic description: This course is an introduction to classical and modern methods for encoding secret messages (cryptography) and the science of breaking codes and ciphers (cryptanalysis). It blends the history of secret writing, the art of creating codes, and the mathematics underlying the theory and practice of encryption and decryption. Topics include substitution and transposition ciphers, Vigenere and Hill ciphers, statistical methods in cryptanalysis, and applications from linear algebra and number theory to cryptanalysis, digital signatures, PGP, RSA, and other public-key ciphers. Latter topics also will require use of computer applets. Prerequisite: Math 203 or 206, or permission of instructor.
Quantitative Methods (QM)

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MATH B301 Real Analysis I Fall 2016 A first course in real analysis, providing a rigorous development of single variable calculus, with a strong focus on proof writing. Topics covered: the real number system, elements of set theory and topology, limits, continuous functions, the intermediate and extreme value theorems, differentiable functions and the mean value theorem, uniform continuity, the Riemann integral, the fundamental theorem of calculus. Possible additional topics include analysis on metric spaces or dynamical systems. Prerequisite: MATH 201. Some students also find it helpful to have taken a transitional course such as MATH 206 before enrolling in this course. Writing Attentive

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MATH B302 Real Analysis II Spring 2017 A continuation of Real Analysis I: Infinite series, power series, sequences and series of functions, pointwise and uniform convergence, and additional topics selected from: Fourier series, calculus of variations, the Lebesgue integral, dynamical systems, and calculus in higher dimensions. Prerequisite: MATH 301.

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MATH B303 Abstract Algebra I Fall 2016 A first course in abstract algebra, including an introduction to groups, rings and fields, and their homomorphisms. Topics covered: cyclic and dihedral groups, the symmetric and alternating groups, direct products and finitely generated abelian groups, cosets, Lagrange's Theorem, normal subgroups and quotient groups, isomorphism theorems, integral domains, polynomial rings, ideals, quotient rings, prime and maximal ideals. Possible additional topics include group actions and the Sylow Theorems, free abelian groups, free groups, PIDs and UFDs. Prerequisite: MATH 203. Some students also find it helpful to have taken a transitional course such as MATH 206 before enrolling in this course. Writing Attentive

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MATH B304 Abstract Algebra II Spring 2017 A continuation of Abstract Algebra I. Vector spaces and linear algebra, field extensions, algebraic and transcendental extensions, finite fields, fields of fractions, field automorphisms, the isomorphism extension theorem, splitting fields, separable and inseparable extensions, algebraic closures, and Galois theory. Also, if not covered in Abstract Algebra I: group actions and Sylow theorems, free abelian groups, free groups, PIDs and UFDs. Possible additional topic: finitely generated modules over a PID and canonical forms of matrices. Prerequisite: MATH 303.

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MATH B308 Applied Mathematics I Spring 2017 This course will provide a general introduction to methods and modeling in applied mathematics. A variety of mathematical tools will be used to develop and study a wide range of models, including deterministic, discrete, and stochastic methods. Additional emphasis will be placed on techniques for analyzing mathematical models, including phase plane methods, stability analysis, dimensional analysis, bifurcation theory, and computer simulations. Applications to biology, physics, chemistry, engineering, and the social sciences may be discussed. Prerequisite: Math 203 or equivalent, or permission from instructor

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MATH B310 Introduction to the Mathematics of Financial Derivatives Not offered 2016-17 An introduction to the mathematics utilized in the pricing models of derivative instruments. Topics to be covered may include Arbitrage Theorem, pricing derivatives, Wiener and Poisson processes, martingales and martingale representations, Ito's Lemma, Black-Scholes partial differentiation equation, Girsanov Theorem and Feynman-Kac Formula. Prerequisite: MATH 201 or permission of instructor.

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MATH B311 Partial Differential Equations Not offered 2016-17 Heat and wave equations on bounded and unbounded domains, Laplace's equation, Fourier series and the Fourier transform, qualitative behavior of solutions, computational methods. Applications to the physical and life sciences. Prerequisite: MATH 301 or permission of instructor.

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MATH B312 Topology Fall 2016 General topology (topological spaces, continuity, compactness, connectedness, quotient spaces), the fundamental group and covering spaces, introduction to geometric topology (classification of surfaces, manifolds). Typically offered yearly in alternation with Haverford. Co-requisite: MATH 301, MATH 303, or permission of instructor.

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MATH B322 Functions of Complex Variables Not offered 2016-17 Analytic functions, Cauchy's theorem, Laurent series, calculus of residues, conformal mappings, Moebius transformations. Prerequisite: MATH 301 or permission of instructor.

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MATH B361 Harmonic Analysis and Wavelets Not offered 2016-17 A first introduction to harmonic analysis and wavelets. Topics to be covered include Fourier series on the circle, Fourier transforms on the line and space, Discrete Wavelet Transform, Fast Wavelet Transform and filter-bank representation of wavelets. Prerequisite: MATH B203 or permission of instructor.

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MATH B395 Research Seminar Fall 2016 A research seminar for students involved in individual or small group research under the supervision of the instructor. With permission, the course may be repeated for credit. This is a topics course. Prerequisite: Permission of instructor.

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MATH B396 Research Seminar Spring 2017 A research seminar for students involved in individual or small group research under the supervision of the instructor. With permission, the course may be repeated for credit. Prerequisite: Permission of instructor.

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MATH B398 Senior Conference A seminar for seniors majoring in mathematics. Topics vary from year to year.

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MATH B399 Senior Conference
Section 001 (Spring 2016): Math Modeling: Sustainability A seminar for seniors majoring in mathematics. Topics vary from year to year.

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MATH B403 Supervised Work

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MATH B403 Supervised Work

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MATH B425 Praxis III Counts toward Praxis Program

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MATH B501 Graduate Real Analysis I Fall 2016 In this course we will study the theory of measure and integration. Topics will include Lebesgue measure, measurable functions, the Lebesgue integral, the Riemann-Stieltjes integral, complex measures, differentiation of measures, product measures, and Lp spaces.

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MATH B502 Graduate Real Analysis II Spring 2017 This course is a continuation of Math 501.

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MATH B503 Graduate Algebra I Not offered 2016-17 This is the first course in a two course sequence providing a standard introduction to algebra at the graduate level. Topics in the first semester will include categories, groups, rings, modules, and linear algebra.

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MATH B504 Graduate Algebra II Not offered 2016-17 This course is a continuation of Math 503, the two courses providing a standard introduction to algebra at the graduate level. Topics in the second semester will include linear algebra, fields, Galois theory, and advanced group theory. Prerequisite: MATH B503.

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MATH B505 Graduate Topology I Spring 2017 This is the first course of a 2 semester sequence, covering the basic notions of algebraic topology. The focus will be on homology theory, which will be introduced axiomatically (via the Eilenberg-Steenrod axioms) and then studied from a variety of points of view (simplicial, singular and cellular homology). The course will also treat cohomology theory and duality (on manifolds), and the elements of homotopy theory.

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MATH B506 Graduate Topology II Not offered 2016-17 Math 505 and Math 506 offer an introduction to topology at the graduate level. These courses can be taken in either order. Math 506 focuses on differential topology. Topics covered include smooth manifolds, smooth maps, and differential forms.

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MATH B670 Graduate Perspectives in Mathematics Pedagogy Not offered 2016-17 This course will cover a spectrum of topics in mathematics pedagogy of importance for graduate students serving as mathematics teaching assistants as well as those preparing to teach high school, community college, or university-level mathematics. It will meet every other week for three hours following a seminar format combining some lectures and guest speakers with extended discussion.

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MATH B701 Supervised Work Fall 2016, Spring 2017

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MATH B701 Supervised Work Fall 2016, Spring 2017

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MATH B702 Research Seminar Fall 2016

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MATH B702 Research Seminar Fall 2016, Spring 2017

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CHEM B221 Physical Chemistry I Fall 2016 Introduction to quantum theory and spectroscopy. Atomic and molecular structure; molecular modeling; rotational, vibrational, electronic and magnetic resonance spectroscopy. Lecture three hours. Prerequisites: CHEM B104 and MATH B201. Quantitative Methods (QM) Counts toward Counts toward Biochemistry and Molecular Biology

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CMSC B231 Discrete Mathematics Spring 2017 An introduction to discrete mathematics with strong applications to computer science. Topics include propositional logic, proof techniques, recursion, set theory, counting, probability theory and graph theory. Co-requisites: CMSC B110 or H105 or H107. Quantitative Methods (QM)

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CMSC B310 Computational Geometry Not offered 2016-17 A study of algorithms and mathematical theories that focus on solving geometric problems in computing, which arise naturally from a variety of disciplines such as Computer Graphics, Computer Aided Geometric Design, Computer Vision, Robotics and Visualization. The materials covered sit at the intersection of pure Mathematics and application-driven Computer Science and efforts will be made to accommodate Math majors and Computer Science majors of varying math/computational backgrounds. Topics include: graph theory, triangulation, convex hulls, geometric structures such as Voronoi diagrams and Delaunay triangulations, as well as curves and polyhedra surface topology. Prerequisite: CMSC B231/ MATH B231. Quantitative Readiness Required (QR)

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ECON B304 Econometrics Spring 2017 The econometric theory presented in ECON 253 is further developed and its most important empirical applications are considered. Each student does an empirical research project using multiple regression and other statistical techniques. Prerequisites: ECON 203 or 204 or 253; ECON 200 or both 202 and MATH 201.

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PHYS B306 Mathematical Methods in the Physical Sciences Fall 2016 This course presents topics in applied mathematics useful to students, including physicists, engineers, physical chemists, geologists, and computer scientists studying the natural sciences. Topics are taken from Fourier series, integral transforms, advanced ordinary and partial differential equations, special functions, boundary-value problems, functions of complex variables, and numerical methods. Lecture three hours and additional recitation sessions as needed. Prerequisite: MATH 201 and 203.

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