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 calendars page.

Fall 2018

COURSE TITLE SCHEDULE/
UNITS
MEETING TYPE TIMES/DAYS LOCATION INSTR(S)
MATH B101-001Calculus ISemester / 1Lecture: 9:10 AM-10:00 AM MWFPark 338Kasius,P.
MATH B101-002Calculus ISemester / 1Lecture: 10:10 AM-11:00 AM MWFPark 338Kasius,P.
MATH B101-003Calculus ISemester / 1Lecture: 11:10 AM-12:00 PM MWFPark 245Sudparid,D.
MATH B102-001Calculus IISemester / 1Lecture: 10:10 AM-11:00 AM MWFPark 245Myers,A.
MATH B102-002Calculus IISemester / 1Lecture: 9:55 AM-11:15 AM TTHPark 338Melvin,P.
MATH B104-001Basic Probability and StatisticsSemester / 1Lecture: 2:40 PM- 4:00 PM MWPark 338Kasius,P.
MATH B201-001Multivariable CalculusSemester / 1Lecture: 11:10 AM-12:00 PM MWFPark 338Traynor,L.
MATH B201-002Multivariable CalculusSemester / 1Lecture: 12:10 PM- 1:00 PM MWFPark 338Donnay,V.
MATH B201-00AMultivariable CalculusSemester / 1Laboratory: 4:10 PM- 6:00 PM WPark 246Donnay,V., Traynor,L.
MATH B201-00BMultivariable CalculusSemester / 1Laboratory: 2:40 PM- 4:00 PM WPark 246Donnay,V., Traynor,L.
MATH B201-00CMultivariable CalculusSemester / 1Laboratory: 7:10 PM- 8:30 PM THPark 246Donnay,V., Traynor,L.
MATH B201-00DMultivariable CalculusSemester / 1Laboratory: 1:10 PM- 2:30 PM FPark 246Donnay,V., Traynor,L.
MATH B201-00EMultivariable CalculusSemester / 1Laboratory: 2:40 PM- 4:00 PM FPark 246Donnay,V., Traynor,L.
MATH B201-00FMultivariable CalculusSemester / 1Laboratory: 7:10 PM- 8:30 PM TPark 246Donnay,V., Traynor,L.
MATH B290-001Elementary Number TheorySemester / 1Lecture: 1:10 PM- 2:30 PM MWPark 336Milicevic,D.
MATH B295-001Select Topics in Mathematics: Enumerative CombinatoricsSemester / 1Lecture: 12:10 PM- 1:00 PM MWFPark 159Myers,A.
MATH B301-001Real Analysis ISemester / 1Lecture: 10:10 AM-11:30 AM MWPark 349Cheng,L.
MATH B301-002Real Analysis ISemester / 1Lecture: 12:55 PM- 2:15 PM TTHPark 349Cheng,L.
MATH B303-001Abstract Algebra ISemester / 1Lecture: 8:25 AM- 9:45 AM TTHPark 336Bergdall,J.
MATH B303-002Abstract Algebra ISemester / 1Lecture: 9:55 AM-11:15 AM TTHPark 336Bergdall,J.
MATH B312-001TopologySemester / 1Lecture: 2:25 PM- 3:45 PM TTHPark 336Melvin,P.
MATH B395-001Research SeminarSemester / 1Lecture: Date/Time TBACheng,L.
MATH B395-003Research SeminarSemester / 1Lecture: Date/Time TBAMelvin,P.
MATH B398-001Senior ConferenceSemester / 1Lecture: 2:40 PM- 4:00 PM MWPark 245Dept. staff, TBA
Laboratory: 2:40 PM- 4:00 PM FPark 245
Laboratory: 8:40 AM-10:00 AM MPark 245
MATH B403-001Supervised WorkSemester / 1Dept. staff, TBA
MATH B403-001Supervised WorkSemester / 1Dept. staff, TBA
MATH B501-001Graduate Real Analysis ISemester / 1Lecture: 10:10 AM-11:30 AM MWPark 328Milicevic,D., Milicevic,D.
Laboratory: 10:10 AM-11:30 AM FPark 328
MATH B512-001General TopologySemester / 1Lecture: 2:25 PM- 3:45 PM TTHPark 336Melvin,P., Melvin,P.
Lab: 1:10 PM- 2:30 PM FPark 328
MATH B525-001Algebraic TopologySemester / 1Lecture: 10:10 AM-11:30 AM MWPark 10Melvin,P., Melvin,P.
Lab: 10:10 AM-11:30 AM FPark 10
MATH B701-001Supervised WorkSemester / 1Lecture: Date/Time TBACheng,L.
MATH B701-002Supervised WorkSemester / 1Lecture: Date/Time TBADonnay,V.
MATH B701-003Supervised WorkSemester / 1Lecture: Date/Time TBAMelvin,P.
MATH B701-004Supervised WorkSemester / 1Lecture: Date/Time TBAMilicevic,D.
MATH B701-005Supervised WorkSemester / 1Lecture: Date/Time TBATraynor,L.
MATH B701-006Supervised WorkSemester / 1Lecture: Date/Time TBADept. staff, TBA
MATH B702-001Research SeminarSemester / 1Lecture: Date/Time TBACheng,L.
MATH B702-003Research SeminarSemester / 1Lecture: Date/Time TBAMelvin,P.
MATH B702-004Research SeminarSemester / 1Lecture: Date/Time TBAMilicevic,D.
CHEM B221-001Physical Chemistry ISemester / 1Lecture: 1:10 PM- 2:30 PM MWPark 246Francl,M.
CMSC B231-001Discrete MathematicsSemester / 1Lecture: 2:40 PM- 4:00 PM MWPark 349Romascavage,F.
CMSC B340-001Analysis of AlgorithmsSemester / 1Lecture: 11:25 AM-12:45 PM TTHPark 337Xu,D., Xu,D.
Laboratory: 2:25 PM- 3:45 PM THPark 232
PHYS B306-001Mathematical Methods in the Physical SciencesSemester / 1Lecture: 12:10 PM- 1:00 PM MWFPark 337Matlin,M.
PHYS B328-001Galactic Dynamics & Advanced Classical MechanicsSemester / 1Lecture: 2:10 PM- 4:00 PM WPark 240Daniel,K., Daniel,K.
Lecture: 2:10 PM- 3:00 PM FPark 337

Spring 2019

COURSE TITLE SCHEDULE/
UNITS
MEETING TYPE TIMES/DAYS LOCATION INSTR(S)
MATH B102-001Calculus IISemester / 1Lecture: 10:10 AM-11:00 AM MWFSudparid,D.
MATH B102-002Calculus IISemester / 1Lecture: 12:10 PM- 1:00 PM MWFPark 338Kasius,P.
MATH B104-001Basic Probability and StatisticsSemester / 1Lecture: 9:10 AM-10:00 AM MWFPark 338Kasius,P.
MATH B104-002Basic Probability and StatisticsSemester / 1Lecture: 2:40 PM- 4:00 PM MWPark 338Kasius,P.
MATH B203-001Linear AlgebraSemester / 1Lecture: 10:10 AM-11:00 AM MWFPark 338Myers,A.
MATH B203-002Linear AlgebraSemester / 1Lecture: 12:10 PM- 1:00 PM MWFPark 349Myers,A.
MATH B203-003Linear AlgebraSemester / 1Lecture: 1:10 PM- 2:30 PM MWPark 338Melvin,P.
MATH B205-001Theory of Probability with ApplicationsSemester / 1Lecture: 2:40 PM- 4:00 PM MWMyers,A.
MATH B206-001Transition to Higher MathematicsSemester / 1Lecture: 9:55 AM-11:15 AM TTHCheng,L.
MATH B210-001Differential Equations with ApplicationsSemester / 1Lecture: 11:25 AM-12:45 PM TTHDonnay,V.
MATH B295-001Select Topics in Mathematics: Actuarial MathematicsSemester / 1LEC: 8:40 AM-10:00 AM MWCheng,L.
MATH B295-002Select Topics in MathematicsSemester / 1LEC: 12:55 PM- 2:15 PM TTHCheng,L.
MATH B302-001Real Analysis IISemester / 1Lecture: 10:10 AM-11:30 AM MWPark 336Milicevic,D.
MATH B304-001Abstract Algebra IISemester / 1Lecture: 8:25 AM- 9:45 AM TTHPark 336Bergdall,J.
MATH B317-001AdvTopics in Mathematics: Elliptic CurvesSemester / 1LEC: 9:55 AM-11:15 AM TTHPark 336Bergdall,J.
MATH B396-001Research SeminarSemester / 1Lecture: Date/Time TBACheng,L.
MATH B396-002Research SeminarSemester / 1Lecture: Date/Time TBADonnay,V.
MATH B396-003Research SeminarSemester / 1Lecture: Date/Time TBAMelvin,P.
MATH B396-004Research SeminarSemester / 1Lecture: Date/Time TBAMilicevic,D.
MATH B396-005Research SeminarSemester / 1Lecture: Date/Time TBATraynor,L.
MATH B396-006Research SeminarSemester / 1Lecture: Date/Time TBADept. staff, TBA
MATH B399-001Senior ConferenceSemester / 1Lecture: 11:40 AM- 1:00 PM MWDept. staff, TBA
Laboratory: 11:40 AM- 1:00 PM F
Laboratory: 8:40 AM-10:00 AM M
MATH B399-002Senior ConferenceSemester / 1Lecture: 2:25 PM- 3:45 PM TTHDept. staff, TBA
MATH B403-001Supervised WorkSemester / 1Dept. staff, TBA
MATH B403-001Supervised WorkSemester / 1Dept. staff, TBA
MATH B502-001Graduate Real Analysis IISemester / 1Lecture: 1:10 PM- 2:30 PM MWMilicevic,D., Milicevic,D.
Laboratory: 1:10 PM- 2:30 PM F
MATH B525-001Algebraic TopologySemester / 1LEC: 10:10 AM-11:30 AM MWMelvin,P.
MATH B701-001Supervised WorkSemester / 1Lecture: Date/Time TBACheng,L.
MATH B701-002Supervised WorkSemester / 1Lecture: Date/Time TBADonnay,V.
MATH B701-003Supervised WorkSemester / 1Lecture: Date/Time TBAMelvin,P.
MATH B701-004Supervised WorkSemester / 1Lecture: Date/Time TBAMilicevic,D.
MATH B701-005Supervised WorkSemester / 1Lecture: Date/Time TBATraynor,L.
MATH B701-006Supervised WorkSemester / 1Lecture: Date/Time TBABergdall,J.
MATH B702-001Research SeminarSemester / 1
MATH B702-001Research SeminarSemester / 1Lecture: Date/Time TBACheng,L.
MATH B702-002Research SeminarSemester / 1Lecture: Date/Time TBADonnay,V.
MATH B702-003Research SeminarSemester / 1Lecture: Date/Time TBAMelvin,P.
MATH B702-004Research SeminarSemester / 1Lecture: Date/Time TBAMilicevic,D.
MATH B702-005Research SeminarSemester / 1Lecture: Date/Time TBATraynor,L.
MATH B702-006Research SeminarSemester / 1Lecture: Date/Time TBADept. staff, TBA
CMSC B310-001Computational GeometrySemester / 1Lecture: 11:25 AM-12:45 PM TTHPark 264Xu,D., Xu,D.
Laboratory: 2:25 PM- 3:45 PM TPark 230
ECON B304-001EconometricsSemester / 1Lecture: 10:10 AM-11:30 AM MWDalton Hall 2Velasco,L.

Fall 2019

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

2018-19 Catalog Data

MATH B101 Calculus I
Fall 2018
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 2018, Spring 2019
A continuation of Calculus I: 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. Continuing students need to have obtained a 2.0 or higher in Math 101.
Quantitative Methods (QM)

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MATH B104 Basic Probability and Statistics
Fall 2018, Spring 2019
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 2018
Vectors and geometry in two and three dimensions, partial derivatives, optimization 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 with a grade of 2.0 or higher or permission of instructor.
Quantitative Methods (QM)

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MATH B203 Linear Algebra
Spring 2019
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
Spring 2019
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 2019
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
Spring 2019
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 2018-19
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 2018-19
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 B290 Elementary Number Theory
Fall 2018
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.
Quantitative Methods (QM)

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MATH B295 Select Topics in Mathematics
Section 001 (Spring 2019): Actuarial Mathematics
Section 001 (Fall 2017): Computational Modeling
Section 001 (Fall 2018): Enumerative Combinatorics
Section 001 (Spring 2018): Math Modeling and Sustainability
Fall 2018, Spring 2019
This is a topics course. Course content varies. Not all topics are open to first year students.
Current topic description: Enumerative combinatorics is a collection of techniques for enumerating a set of objects (saying how many) without listing all the possibilities. Combinatorial techniques are often applied to questions of probability in situations when all outcomes are equally likely. For example, in a game of poker, any combination of five cards is equally likely to be dealt from a well-shuffled deck. What is the probability that any particular set of five cards form a full house (three of one rank and two of another)? To answer this question, we divide the number of full-house combinations by the total number of five-card combinations. To obtain these two numbers without listing all the possibilities, we use combinatorics. Although combinatorial problems can often be stated in the language of puzzles and games, the results have applications throughout mathematics, both pure and applied. Topics include: permutations, combinations, binomial identities, generating functions, recurrence relations, inclusion-exclusion, and Polya's enumeration formula.
Current topic description: This course will provide an introduction to some of the mathematical techniques used in actuarial work and will give an overview of some of the areas in which actuaries are currently involved. Some of the concepts that will be addressed include valuation of financial transactions, demography, life insurance, valuation of contingent payments, and premium calculation. Prerequisite: Math 102
Current topic description: This course will provide an introduction to some of the mathematical techniques used in actuarial work and will give an overview of some of the areas in which actuaries are currently involved. Some of the concepts that will be addressed include valuation of financial transactions, demography, life insurance, valuation of contingent payments, and premium calculation. Prerequisite: Math 102

Quantitative Methods (QM)

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MATH B301 Real Analysis I
Fall 2018
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.

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MATH B302 Real Analysis II
Spring 2019
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 2018
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.

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MATH B304 Abstract Algebra II
Spring 2019
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
Not offered 2018-19
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 2018-19
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 B312 Topology
Fall 2018
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 B317 AdvTopics in Mathematics
Section 001 (Spring 2019): Elliptic Curves
Spring 2019
This is an advanced topics course. Course content varies.
Current topic description: This course will explore aspects of the theory of Diophantine equations, elliptic curves, and algebraic geometry. Elliptic curves, which will be the main focus, are smooth curves defined by cubic equations in two variables. They form a large class of examples in geometry, or algebraic geometry, and they represent an indispensable source of examples and inspiration in number theory. Here, we develop the basic theory of these curves with the goal of studying the group of rational solutions. Extra topics may include curves over finite fields and connections to modular forms. Prerequisite: Math 303.

Quantitative Readiness Required (QR)

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MATH B322 Functions of Complex Variables
Not offered 2018-19
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 B390 Number Theory
Not offered 2018-19
Study of integers with an emphasis on their multiplicative structure and topics related to analysis, and a first course in analytic number theory. Core topics: divisibility and primes, arithmetic functions, average and extremal orders, techniques of analytic number theory, Riemann zeta function, prime number theorem, Dirichlet characters, L-functions. Possible additional topics may include approximations by rational numbers, geometry of numbers, algebraic numbers and class numbers, sums of squares, and the idea of modular forms.Prerequisite: Math 201, and some familiarity with writing proofs (such as Math 206, Math 301/303 as a co-requisite, or permission of instructor)
Quantitative Methods (QM)

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MATH B395 Research Seminar
Fall 2018
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 2019
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
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 B501 Graduate Real Analysis I
Fall 2018
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 2019
This course is a continuation of Math 501.

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MATH B503 Graduate Algebra I
Not offered 2018-19
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 2018-19
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 B506 Graduate Topology II
Not offered 2018-19
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 B511 Graduate Complex Analysis I
Not offered 2018-19

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MATH B512 General Topology
Fall 2018
This course covers the basic notions of point set topology, with an introduction to algebraic and geometric topology. Topics covered include topological spaces, continuity, compactness, connectedness, quotient spaces, the fundamental group and covering spaces, and the classification of surfaces.

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MATH B525 Algebraic Topology
Fall 2018, Spring 2019
This course covers the basic notions of algebraic topology. Topics covered include homology theory, cohomology theory, duality on manifolds, and an introduction to homotopy theory.

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MATH B670 Graduate Perspectives in Mathematics Pedagogy
Not offered 2018-19
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 2018, Spring 2019

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MATH B701 Supervised Work
Not offered 2018-19

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MATH B702 Research Seminar
Spring 2019

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MATH B702 Research Seminar
Fall 2018, Spring 2019

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CHEM B221 Physical Chemistry I
Fall 2018
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
Fall 2018
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: BIOL B115 or CMSC B110 or CMSC B113 or H105 or H107.
Quantitative Methods (QM)

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CMSC B310 Computational Geometry
Spring 2019
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/MATH B/H231 and CMSC B206 or CMSC/MATH B/H231 and CMSC H106 or CMSC/MATH B/H231 and CMSC H107.
Quantitative Readiness Required (QR)

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CMSC B340 Analysis of Algorithms
Fall 2018
This course will cover qualitative and quantitative analysis of algorithms and their corresponding data structures from a precise mathematical point of view. Topics include: performance bounds, asymptotic and probabilistic analysis, worst case and average case behavior and correctness and complexity. Particular classes of algorithms will be studied in detail.
Quantitative Readiness Required (QR)

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ECON B304 Econometrics
Spring 2019
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 B253 or ECON H203 or ECON H204 and ECON B200 or ECON B202 and MATH B201 or permission of instructor.

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PHYS B306 Mathematical Methods in the Physical Sciences
Fall 2018
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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PHYS B328 Galactic Dynamics & Advanced Classical Mechanics
Fall 2018
This course is for the advanced undergraduate interested in the physics galactic dynamics and evolution, i.e. collisionless, gravitational N-body systems composed of stars and dark matter. Topics covered will include potential theory, orbit theory, collisionless Boltzmann equation, Jeans equations, disk stability, violent relaxation, phase mixing, dynamical friction and kinetic theory. To support the these theories, we will also cover advanced topics in classical mechanics including Lagrange & Hamilton methods, the central force problem, canonical transformations, action-angle variables, chaos and perturbation theory. This course is taught in a seminar format, in which students are responsible for presenting much of the course material in class meetings. Prerequisites: MATH B201, MATH B203, PHYS B201, B214, and PHYS B308 or permission from instructor.

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