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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 2011-2012

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.

Spring 2014

COURSE TITLE SCHEDULE/
UNITS
MEETING TYPE TIMES/DAYS LOCATION INSTRUCTOR(S)
MATH B102-001 Calculus II Semester / 1 Lecture: 10:10 AM-11:00 AM MWF Park 338 Schneider,G.
MATH B102-002 Calculus II Semester / 1 Lecture: 11:10 AM-12:00 PM MWF Park 338 Schneider,G.
MATH B104-001 Basic Probability and Statistics Semester / 1 Lecture: 2:40 PM- 4:00 PM MW Park 243 Cheng,L.
MATH B203-001 Linear Algebra Semester / 1 Lecture: 10:10 AM-11:00 AM MWF Park 349 Myers,A.
MATH B203-002 Linear Algebra Semester / 1 Lecture: 11:10 AM-12:00 PM MWF Park 349 Myers,A.
MATH B203-003 Linear Algebra Semester / 1 Lecture: 1:10 PM- 2:00 PM MWF Park 349 Kasius,P.
MATH B205-001 Theory of Probability with Applications Semester / 1 Lecture: 2:40 PM- 4:00 PM MW Park 336 Myers,A.
MATH B206-001 Transition to Higher Mathematics Semester / 1 Lecture: 12:10 PM- 1:00 PM MWF Park 349 Kasius,P.
MATH B206-002 Transition to Higher Mathematics Semester / 1 Lecture: 12:55 PM- 2:15 PM TTH Park 349 Kasius,P.
MATH B210-001 Differential Equations with Applications Semester / 1 Lecture: 9:10 AM-10:00 AM MWF Park 349 Donnay,V.
MATH B210-002 Differential Equations with Applications Semester / 1 Lecture: 1:10 PM- 2:00 PM MWF Park 338 Schneider,G.
MATH B295-001 Select Topics in Mathematics: Statistics Semester / 1 Lecture: 8:25 AM- 9:45 AM TTH Park 349 Cheng,L.
MATH B295-002 Select Topics in Mathematics: Statistics Semester / 1 LEC: 2:25 PM- 3:45 PM TTH Park 336 Cheng,L.
MATH B302-001 Real Analysis II Semester / 1 Lecture: 10:10 AM-11:30 AM MW Park 336 Donnay,V.
MATH B302-002 Real Analysis II Semester / 1 Lecture: 12:55 PM- 2:15 PM TTH Park 336 Milicevic,D.
MATH B304-001 Abstract Algebra II Semester / 1 Lecture: 9:10 AM-10:00 AM MWF Park 336 Traynor,L.
MATH B322-001 Functions of Complex Variables Semester / 1 Lecture: 11:40 AM- 1:00 PM MW Park 336 Traynor,L.
MATH B396-001 Research Seminar Semester / 1
MATH B396-002 Research Seminar Semester / 1
MATH B396-003 Research Seminar Semester / 1
MATH B396-004 Research Seminar Semester / 1
MATH B396-005 Research Seminar Semester / 1
MATH B399-001 Senior Conference Semester / 1 Lecture: 9:55 AM-11:15 AM TTH Park 328 Dept. staff, TBA
MATH B399-002 Senior Conference Semester / 1 Lecture: 12:55 PM- 2:15 PM 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 B425-001 Praxis III Semester / 1 Dept. staff, TBA
MATH B504-001 Graduate Algebra II Semester / 1 Lecture: 2:25 PM- 3:45 PM TTH Park 328 Grundman,H.
MATH B701-001 Supervised Work Semester / 1 Lecture: Date/Time TBA Grundman,H.
MATH B701-002 Supervised Work Semester / 1 Lecture: Date/Time TBA Traynor,L.
MATH B701-003 Supervised Work Semester / 1 Lecture: Date/Time TBA Cheng,L.
MATH B701-004 Supervised Work Semester / 1 Lecture: Date/Time TBA Milicevic,D.
MATH B701-005 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 LEC: 11:25 AM-12:45 PM TH Park 328 Grundman,H.
MATH B702-002 Research Seminar Semester / 1

Fall 2014

COURSE TITLE SCHEDULE/
UNITS
MEETING TYPE TIMES/DAYS LOCATION INSTRUCTOR(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 338 Dept. staff, TBA
MATH B102-001 Calculus II Semester / 1 Lecture: 9:55 AM-11:15 AM TTH Park 338 Traynor,L.
MATH B104-001 Basic Probability and Statistics Semester / 1 Lecture: 2:40 PM- 4:00 PM MW Park 338 Dept. staff, TBA
MATH B201-001 Multivariable Calculus Semester / 1 Lecture: 11:10 AM-12:00 PM MWF Park 349 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: 9:10 AM-10:00 AM MWF Dept. staff, TBA
MATH B225-001 Introduction to Financial Mathematics Semester / 1 LEC: 11:25 AM-12:45 PM TTH Cheng,L.
MATH B231-001 Discrete Mathematics Semester / 1 Lecture: 1:10 PM- 2:30 PM MW Park 338 Tao,J.
MATH B251-001 Chaotic Dynamical Systems Semester / 1 LEC: 2:40 PM- 4:00 PM MW Donnay,V.
MATH B295-001 Select Topics in Mathematics Semester / 1
MATH B301-001 Real Analysis I Semester / 1 Lecture: 8:25 AM- 9:45 AM TTH Cheng,L.
MATH B301-002 Real Analysis I Semester / 1 Lecture: 11:40 AM- 1:00 PM MW Donnay,V.
MATH B303-001 Abstract Algebra I Semester / 1 Lecture: 9:55 AM-11:15 AM TTH Melvin,P.
MATH B303-002 Abstract Algebra I Semester / 1 Lecture: 2:25 PM- 3:45 PM TTH Melvin,P.
MATH B312-001 Topology Semester / 1 LEC: 12:55 PM- 2:15 PM TTH Traynor,L.
MATH B395-001 Research Seminar Semester / 1
MATH B395-002 Research Seminar Semester / 1
MATH B395-003 Research Seminar Semester / 1
MATH B395-004 Research Seminar Semester / 1
MATH B395-005 Research Seminar Semester / 1
MATH B398-001 Senior Conference Semester / 1 LEC: 10:10 AM-11:30 AM MW Dept. staff, TBA
MATH B398-002 Senior Conference Semester / 1 LEC: 1:10 PM- 2:30 PM MW Dept. staff, TBA
MATH B501-001 Graduate Real Analysis I Semester / 1 LEC: 11:40 AM- 1:00 PM MW Milicevic,D.
MATH B701-001 Supervised Work Semester / 1 Lecture: Date/Time TBA Grundman,H.
MATH B701-002 Supervised Work Semester / 1 Lecture: Date/Time TBA Melvin,P.
MATH B701-003 Supervised Work Semester / 1 Lecture: Date/Time TBA Traynor,L.
MATH B701-004 Supervised Work Semester / 1 Lecture: Date/Time TBA Milicevic,D.
MATH B701-005 Supervised Work Semester / 1
MATH B701-005 Supervised Work Semester / 1 Lecture: Date/Time TBA Cheng,L.
MATH B701-006 Supervised Work Semester / 1 Lecture: Date/Time TBA Donnay,V.
MATH B702-001 Research Seminar Semester / 1 Lecture: Date/Time TBA Grundman,H.
MATH B702-002 Research Seminar Semester / 1 Lecture: Date/Time TBA Melvin,P.
MATH B702-003 Research Seminar Semester / 1 Lecture: Date/Time TBA Traynor,L.
MATH B702-004 Research Seminar Semester / 1 Lecture: Date/Time TBA Milicevic,D.
MATH B702-005 Research Seminar Semester / 1 Lecture: Date/Time TBA Cheng,L.
MATH B702-006 Research Seminar Semester / 1 Lecture: Date/Time TBA Donnay,V.

Spring 2015

COURSE TITLE SCHEDULE/
UNITS
MEETING TYPE TIMES/DAYS LOCATION INSTRUCTOR(S)
MATH B231-001 Discrete Mathematics Semester / 1 Lecture: 12:55 PM- 2:15 PM TTH Park 338 Tao,J.
MATH B502-001 Graduate Real Analysis II Semester / 1 Lecture: 11:40 AM- 1:00 PM MW Park 328 Milicevic,D.
MATH B505-001 Graduate Topology I Semester / 1 Lecture: Date/Time TBA Melvin,P.
MATH B701-001 Supervised Work Semester / 1 Lecture: Date/Time TBA Grundman,H.
MATH B701-002 Supervised Work Semester / 1 Lecture: Date/Time TBA Melvin,P.
MATH B701-003 Supervised Work Semester / 1 Lecture: Date/Time TBA Traynor,L.
MATH B701-004 Supervised Work Semester / 1 Lecture: Date/Time TBA Milicevic,D.
MATH B701-005 Supervised Work Semester / 1 Lecture: Date/Time TBA Cheng,L.
MATH B701-006 Supervised Work Semester / 1 Lecture: Date/Time TBA Donnay,V.
MATH B702-001 Research Seminar Semester / 1 Lecture: Date/Time TBA Grundman,H.
MATH B702-002 Research Seminar Semester / 1 Lecture: Date/Time TBA Melvin,P.
MATH B702-003 Research Seminar Semester / 1 Lecture: Date/Time TBA Traynor,L.
MATH B702-004 Research Seminar Semester / 1 Lecture: Date/Time TBA Milicevic,D.
MATH B702-005 Research Seminar Semester / 1 Lecture: Date/Time TBA Cheng,L.
MATH B702-006 Research Seminar Semester / 1 Lecture: Date/Time TBA Donnay,V.

2014-15 Catalog Data

MATH B001 Fundamentals of Mathematics Not offered 2014-15 Basic techniques of algebra, analytic geometry, graphing, and trigonometry for students who need to improve these skills before entering other courses that use them, both inside and outside mathematics. Placement in this course is by advice of the department and permission of the instructor.

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MATH B101 Calculus I Fall 2014 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. Division II and Quantitive Quantitative Methods (QM) Quantitative Readiness Required (QR)

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MATH B102 Calculus II Fall 2014 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. Prerequisite: MATH B101 with merit grade (2.0 or higher), adequate score on Calculus placement exam, or permission of the instructor. Division II and Quantitive Quantitative Methods (QM)

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MATH B104 Basic Probability and Statistics Fall 2014 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 Quantitative Methods (QM) Quantitative Readiness Required (QR)

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MATH B151 Introduction to Math and Sustainability Not offered 2014-15 The world faces many sustainability challenges: climate change, energy, over-population, natural resource depletion. Using techniques of mathematical modeling including dynamical systems and bifurcation theory (tipping points), we will study quantitative aspects of these problems. No advanced mathematics beyond high school mathematics (pre-calculus) is required. Division II and Quantitive Quantitative Methods (QM)

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MATH B201 Multivariable Calculus Fall 2014 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. Division II and Quantitive Quantitative Methods (QM)

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MATH B203 Linear Algebra Not offered 2014-15 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. Pre or corequisite: MATH 102, or permission of the instructor Division II and Quantitive Quantitative Methods (QM)

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MATH B205 Theory of Probability with Applications Not offered 2014-15 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). Division II and Quantitive Quantitative Methods (QM)

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MATH B206 Transition to Higher Mathematics Not offered 2014-15 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. Division II: Natural Science Quantitative Methods (QM)

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MATH B210 Differential Equations with Applications Fall 2014 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. Corequisite: MATH 201 or 203. Division II and Quantitive Quantitative Methods (QM)

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MATH B221 Introduction to Topology and Geometry Not offered 2014-15 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. Corequisite: MATH 201 or 203. Division II and Quantitive Quantitative Methods (QM)

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MATH B225 Introduction to Financial Mathematics Fall 2014 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. Division II: Natural Science Quantitative Methods (QM)

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MATH B231 Discrete Mathematics Fall 2014, Spring 2015 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. Division II and Quantitive Quantitative Methods (QM) Cross-listed as CMSC B231

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MATH B251 Chaotic Dynamical Systems Fall 2014 Topics to be covered may include iteration, orbits, graphical and computer analysis, bifurcations, symbolic dynamics, fractals, complex dynamics and applications. Prerequisite: MATH B102 Division II and Quantitive

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MATH B290 Elementary Number Theory Not offered 2014-15 Properties of the integers, divisibility, primality and factorization, congruences, Chinese remainder theorem, multiplicative functions, quadratic residues and quadratic reciprocity, continued fractions, and applications to computer science and cryptography. Prerequisite: MATH 102. Division II: Natural Science Quantitative Methods (QM)

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MATH B295 Select Topics in Mathematics
Section 001 (Fall 2013): Combinatorics
Section 001 (Spring 2014): Statistics
Section 002 (Spring 2014): Statistics Fall 2014 This is a topics course. Course content varies. Division II: Natural Science Quantitative Methods (QM)

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MATH B301 Real Analysis I Fall 2014 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. Division II: Natural Science Quantitative Methods (QM)

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MATH B302 Real Analysis II Not offered 2014-15 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. Division II: Natural Science Quantitative Methods (QM)

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MATH B303 Abstract Algebra I Fall 2014 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. Division II: Natural Science Quantitative Methods (QM)

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MATH B304 Abstract Algebra II Not offered 2014-15 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. Division II: Natural Science Quantitative Methods (QM)

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MATH B308 Applied Mathematics I Not offered 2014-15 Course content varies. Division II: Natural Science Quantitative Methods (QM)

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MATH B310 Introduction to the Mathematics of Financial Derivatives Not offered 2014-15 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. Division II: Natural Science

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MATH B312 Topology Fall 2014 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. Division II: Natural Science Quantitative Methods (QM)

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MATH B315 Geometry Not offered 2014-15 An introduction to geometry with an emphasis that varies from year to year. Prerequisites: MATH 201 and 203 (or equivalent) or permission of instructor. Division II: Natural Science

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MATH B322 Functions of Complex Variables Not offered 2014-15 Analytic functions, Cauchy's theorem, Laurent series, calculus of residues, conformal mappings, Moebius transformations. Prerequisite: MATH 301 or permission of instructor. Division II: Natural Science Quantitative Methods (QM)

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MATH B361 Harmonic Analysis and Wavelets Not offered 2014-15 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. Division II: Natural Science

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MATH B395 Research Seminar
Section 008 (Fall 2013): Mathematical Biology
Section 009 (Fall 2013): Financial Mathematics Fall 2014 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. Quantitative Methods (QM)

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MATH B396 Research Seminar Not offered 2014-15 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. Quantitative Methods (QM)

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MATH B398 Senior Conference A seminar for seniors majoring in mathematics. Topics vary from year to year. Quantitative Methods (QM)

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MATH B399 Senior Conference A seminar for seniors majoring in mathematics. Topics vary from year to year. Quantitative Methods (QM)

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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 2014 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 L^p spaces.

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MATH B502 Graduate Real Analysis II Spring 2015 This course is a continuation of Math 501.

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MATH B503 Graduate Algebra I Not offered 2014-15 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 2014-15 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 2015 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 2014-15 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 B701 Supervised Work Fall 2014, Spring 2015

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MATH B701 Supervised Work Fall 2014

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MATH B702 Research Seminar Not offered 2014-15

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MATH B702 Research Seminar Fall 2014, Spring 2015

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