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 2020

COURSE TITLE SCHEDULE/
UNITS
MEETING TYPE TIMES/DAYS LOCATION / INSTRUCTION MODE INSTR(S)
MATH B100-001Introduction to CalculusSemester / 1Lecture: 4:10 PM- 5:30 PM TTHSRemote InstructionSudparid,D.
MATH B101-001Calculus ISemester / 1Lecture: 11:10 AM-12:30 PM TTHSRemote
Remote Instruction
Sudparid,D.
MATH B101-002Calculus ISemester / 1Lecture: 1:10 PM- 2:30 PM TTHSRemote
Remote Instruction
Sudparid,D.
MATH B102-001Calculus IISemester / 1Lecture: 11:10 AM-12:30 PM MTHPark 180
Hybrid: In-Person & Remote
Myers,A.
MATH B102-002Calculus IISemester / 1Lecture: 5:40 PM- 7:00 PM MTHPark 338
Hybrid: In-Person & Remote
Myers,A.
MATH B104-001Basic Probability and StatisticsSemester / 1Lecture: 1:10 PM- 2:30 PM WSPark 25
Hybrid: In-Person & Remote
White,D., White,D.
Lecture: 1:10 PM- 2:30 PM WSPark 243
Hybrid: In-Person & Remote
MATH B201-003Multivariable CalculusSemester / 1Lecture: 1:10 PM- 2:30 PM MTHPark 243
Hybrid: In-Person & Remote
Traynor,L., Traynor,L.
Lecture: 1:10 PM- 2:30 PM MTHPark 338
Hybrid: In-Person & Remote
MATH B201-004Multivariable CalculusSemester / 1Lecture: 5:40 PM- 7:00 PM MTHPark 243
Hybrid: In-Person & Remote
Kasius,P., Kasius,P.
Lecture: 5:40 PM- 7:00 PM MTHPark 25
Hybrid: In-Person & Remote
MATH B210-001Differential Equations with ApplicationsSemester / 1Lecture: 11:10 AM-12:30 PM TFRemote
Remote Instruction
Graham,E.
MATH B290-001Elementary Number TheorySemester / 1Lecture: 1:10 PM- 2:30 PM TFPark 243
Hybrid: In-Person & Remote
Bergdall,J.
MATH B295-001Select Topics in Mathematics: Enumerative CombinatoricsSemester / 1Lecture: 2:40 PM- 4:00 PM MTHPark 338
Hybrid: In-Person & Remote
Myers,A.
MATH B301-001Real Analysis ISemester / 1Lecture: 8:10 AM- 9:30 AM MTHPark 245
Hybrid: In-Person & Remote
Cheng,L.
MATH B301-002Real Analysis ISemester / 1Lecture: 5:40 PM- 7:00 PM TFPark 338
Hybrid: In-Person & Remote
Cheng,L.
MATH B303-001Abstract Algebra ISemester / 1Lecture: 9:40 AM-11:00 AM MTHPark 338
Hybrid: In-Person & Remote
Kasius,P.
MATH B303-002Abstract Algebra ISemester / 1Lecture: 8:40 PM-10:00 PM MTHPark 338
Hybrid: In-Person & Remote
Kasius,P.
MATH B312-001TopologySemester / 1Lecture: 4:10 PM- 5:30 PM MTHPark 338
Hybrid: In-Person & Remote
Traynor,L.
MATH B398-001Senior ConferenceSemester / 1Lecture: 2:40 PM- 4:00 PM TFPark 338
Remote Instruction
Dept. staff, TBA
MATH B398-002Senior ConferenceSemester / 1Lecture: 9:40 AM-11:00 AM TFPark 338
Hybrid: In-Person & Remote
Dept. staff, TBA
MATH B400-001Senior ResearchSemester / 1Hybrid: In-Person & Remote
MATH B403-001Supervised WorkSemester / 1Dept. staff, TBA
MATH B403-001Supervised WorkSemester / 1Dept. staff, TBA
MATH B501-001Graduate Real Analysis ISemester / 1LEC: 7:10 PM- 8:30 PM MTHPark 245
Hybrid: In-Person & Remote
Cheng,L.
MATH B512-001General TopologySemester / 1Lecture: 4:10 PM- 5:30 PM MTHPark 338
In Person
Traynor,L.
MATH B701-001Supervised WorkSemester / 1Hybrid: In-Person & Remote
MATH B701-002Supervised WorkSemester / 1Hybrid: In-Person & Remote
MATH B701-003Supervised WorkSemester / 1Hybrid: In-Person & Remote
MATH B701-004Supervised WorkSemester / 1Hybrid: In-Person & Remote
MATH B701-005Supervised WorkSemester / 1Hybrid: In-Person & Remote
MATH B701-006Supervised WorkSemester / 1Hybrid: In-Person & Remote
MATH B702-001Research SeminarSemester / 1Hybrid: In-Person & Remote
MATH B702-002Research SeminarSemester / 1Hybrid: In-Person & Remote
MATH B702-003Research SeminarSemester / 1Hybrid: In-Person & Remote
MATH B702-004Research SeminarSemester / 1Hybrid: In-Person & Remote
MATH B702-005Research SeminarSemester / 1Hybrid: In-Person & Remote
MATH B702-006Research SeminarSemester / 1Hybrid: In-Person & Remote
MATH B702-007Research SeminarSemester / 1Remote Instruction
CHEM B221-001Physical Chemistry ISemester / 1Lecture: 9:40 AM-11:00 AM MTHRemote
Remote Instruction
Goldsmith,J.
CMSC B340-001Analysis of AlgorithmsSemester / 1Lecture: 1:10 PM- 2:30 PM MTHPark 180
Remote Instruction
Xu,D., Xu,D.
Laboratory: 2:40 PM- 4:00 PM THPark 231
Remote Instruction
PHYS B306-001Mathematical Methods in the Physical SciencesSemester / 1Lecture: 11:10 AM- 1:00 PM MPark 337
Hybrid: In-Person & Remote
Cheng,X., Cheng,X.
LEC: 11:10 AM- 1:00 PM THPark 336
Hybrid: In-Person & Remote

Spring 2021

COURSE TITLE SCHEDULE/
UNITS
MEETING TYPE TIMES/DAYS LOCATION / INSTRUCTION MODE INSTR(S)
MATH B100-001Introduction to CalculusSemester / 1Lecture: 4:10 PM- 5:30 PM MTHIn PersonSudparid,D.
MATH B101-001Calculus ISemester / 1Lecture: 11:10 AM-12:30 PM TFPark 338
Hybrid: In-Person & Remote
Dever,L.
MATH B102-001Calculus IISemester / 1Lecture: 11:10 AM-12:30 PM MTHRemote
Remote Instruction
Sudparid,D.
MATH B102-002Calculus IISemester / 1Lecture: 1:10 PM- 2:30 PM MTHRemote
Remote Instruction
Sudparid,D.
MATH B104-001Basic Probability and StatisticsSemester / 1Lecture: 11:10 AM-12:30 PM MTHPark 338
Hybrid: In-Person & Remote
Kasius,P.
MATH B104-002Basic Probability and StatisticsSemester / 1Lecture: 2:40 PM- 4:00 PM MTHPark 338
Hybrid: In-Person & Remote
Kasius,P.
MATH B203-001Linear AlgebraSemester / 1Lecture: 9:40 AM-11:00 AM MTHPark 245
Hybrid: In-Person & Remote
Milicevic,D.
MATH B203-002Linear AlgebraSemester / 1Lecture: 1:10 PM- 2:30 PM MTHPark 338
Hybrid: In-Person & Remote
Milicevic,D.
MATH B206-001Transition to Higher MathematicsSemester / 1Lecture: 8:10 AM- 9:30 AM TFPark 338
Hybrid: In-Person & Remote
Traynor,L.
MATH B208-001Introduction to Modeling and SimulationSemester / 1Lecture: 11:10 AM-12:30 PM MTHRemote
Remote Instruction
Graham,E., Graham,E.
Laboratory: 11:10 AM-12:30 PM WRemote
Remote Instruction
MATH B295-001Select Topics in Mathematics: Math Modeling and SustainabilitySemester / 1LEC: 2:40 PM- 4:00 PM TFRemote InstructionDonnay,V.
MATH B302-001Real Analysis IISemester / 1Lecture: 8:10 AM- 9:30 AM MTHPark 245
Hybrid: In-Person & Remote
Cheng,L.
MATH B304-001Abstract Algebra IISemester / 1Lecture: 5:40 PM- 7:00 PM MTHPark 338
Hybrid: In-Person & Remote
Kasius,P.
MATH B325-001Advanced Topics in Applied MathematicsSemester / 1Lecture: 2:40 PM- 4:00 PM MTHRemote InstructionGraham,E., Graham,E.
Laboratory: 2:40 PM- 4:00 PM WFully Asynchronous
Remote Instruction
MATH B399-001Senior ConferenceSemester / 1Lecture: 9:40 AM-11:00 AM TFRemote InstructionDept. staff, TBA
MATH B399-002Senior ConferenceSemester / 1LEC: 11:10 AM-12:30 PM TFRemote InstructionDept. staff, TBA
MATH B400-001Senior ResearchSemester / 1In Person
MATH B403-001Supervised WorkSemester / 1Dept. staff, TBA
MATH B403-001Supervised WorkSemester / 1Dept. staff, TBA
MATH B502-001Graduate Real Analysis IISemester / 1LEC: 4:10 PM- 5:30 PM TFPark 245
Hybrid: In-Person & Remote
Cheng,L.
MATH B525-001Algebraic TopologySemester / 1Lecture: 1:10 PM- 2:30 PM TFPark 328
Remote Instruction
Melvin,P.
MATH B701-001Supervised WorkSemester / 1In Person
MATH B701-002Supervised WorkSemester / 1In Person
MATH B701-003Supervised WorkSemester / 1In Person
MATH B701-004Supervised WorkSemester / 1In Person
MATH B701-005Supervised WorkSemester / 1In Person
MATH B701-006Supervised WorkSemester / 1In Person
MATH B701-007Supervised WorkSemester / 1In Person
CMSC B231-001Discrete MathematicsSemester / 1Lecture: 11:10 AM-12:30 PM MTHIn PersonXu,D.
ECON B304-001EconometricsSemester / 1Lecture: 9:40 AM-11:00 AM MTHRemote InstructionLambie-Hanson,T.

Fall 2021

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

2020-21 Catalog Data

MATH B100 Introduction to Calculus
Fall 2020, Spring 2021
This course introduces the concepts and skills that provide a foundation for calculus, the study of how things change. Functions that provide useful models for studying the change of a wide variety of phenomena will be introduced and analyzed through the concepts of limits and derivatives.
Quantitative Methods (QM)

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MATH B101 Calculus I
Fall 2020, Spring 2021
This is the first in a sequence of two courses that covers single-variable calculus. Topics include functions, limits, continuity, derivatives, differentiation formulas, applications of derivatives, integrals, and the fundamental theorem of calculus. Prerequisite: proficiency in high-school mathematics (including algebra, geometry, and trigonometry).
Quantitative Methods (QM)
Quantitative Readiness Required (QR)

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MATH B102 Calculus II
Fall 2020, Spring 2021
This is the second in a sequence of two courses that covers single-variable calculus. Topics include techniques of integration, applications of integration, infinite sequences and series, tests of convergence for series, and power series. Prerequisite: a merit grade in Math 101 (or an equivalent experience).
Quantitative Methods (QM)

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MATH B104 Basic Probability and Statistics
Fall 2020, Spring 2021
This course introduces key concepts in descriptive and inferential statistics. Topics include summary statistics, graphical displays, correlation, regression, probability, the Law of Large Numbers, expected value, standard error, the Central Limit Theorem, hypothesis testing, sampling procedures, bias, and the use of statistical software.
Quantitative Methods (QM)
Quantitative Readiness Required (QR)

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MATH B151 Introduction to Math and Sustainability
Not offered 2020-21
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.
Quantitative Methods (QM)
Counts toward Environmental Studies

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MATH B201 Multivariable Calculus
Fall 2020
This course extends calculus to functions of multiple variables. Topics include functions, limits, continuity, vectors, directional derivatives, optimization problems, multiple integrals, parametric curves, vector fields, line integrals, surface integrals, and the theorems of Gauss, Green and Stokes. Prerequisite: a merit grade in Math 102 (or an equivalent experience).
Quantitative Methods (QM)

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MATH B203 Linear Algebra
Spring 2021
This course considers systems of linear equations, matrix algebra, determinants, vector spaces, subspaces, linear independence, bases, dimension, linear transformations, eigenvalues, eigenvectors, orthogonality, and applications of linear algebra. Prerequisite (or corequisite): Math 102.
Quantitative Methods (QM)

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MATH B205 Theory of Probability with Applications
Not offered 2020-21
The course analyzes repeatable experiments in which short-term outcomes are uncertain, but long-run behavior is predictable. Topics include: random variables, discrete distributions, continuous densities, conditional probability, expected value, variance, the Law of Large Numbers, and the Central Limit Theorem. Prerequisite: Math 201.
Quantitative Methods (QM)
Counts toward Introduction to Data Science

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MATH B206 Transition to Higher Mathematics
Spring 2021
This course focuses on mathematical writing and proof techniques. Topics include symbolic logic, set notation and quantifiers, proof by contradiction and induction, set notation and operations, relations and partitions, functions, and more. Prerequisite (or corequisite): Math 203.
Quantitative Methods (QM)

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MATH B208 Introduction to Modeling and Simulation
Spring 2021
Mathematical models are constructed to describe the complex world within and around us. Computational methods are employed to visualize and solve these models. In this course, we focus on developing mathematical models to describe real-world phenomena, while using computer simulations to examine prescribed and/or random behavior of various systems. The course includes an introduction to programming (in R or Matlab/Octave), and mathematical topics may include discrete dynamical systems, model fitting using least squares, elementary stochastic processes, and linear models (regression, optimization, linear programming). Applications to economics, biology, chemistry, and physics will be explored. Prior programming experience not required.
Course does not meet an Approach
Quantitative Methods (QM)
Quantitative Readiness Required (QR)

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MATH B210 Differential Equations with Applications
Fall 2020
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 2020-21
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 2020-21
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 2020
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 (Fall 2020): Enumerative Combinatorics
Section 001 (Fall 2019): History of Math
Section 001 (Spring 2021): Math Modeling and Sustainability
Section 002 (Fall 2019): Math Modeling and Sustainability
Fall 2020, Spring 2021
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. The official prerequisite for this course is Math 203: LInear Algebra. Proof-writing experience (such as Math 206: Transition to Higher Mathematics) is strongly recommend, but not required. Course content includes counting techniques and methods of proof such as: the pigeonhole principle, mathematical induction, permutations, combinations, binomial identities, compositions, partitions, the sieve method, and generating functions. Graph theory will be introduced if time permits.
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)
Counts toward Environmental Studies
Counts toward Praxis Program

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MATH B301 Real Analysis I
Fall 2020
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 2021
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 2020
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 2021
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 2020-21
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 B312 Topology
Fall 2020
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
Not offered 2020-21
This is an advanced topics course. Course content varies.
Quantitative Readiness Required (QR)

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MATH B325 Advanced Topics in Applied Mathematics
Spring 2021
This topics course will focus on one advanced area in applied mathematics. Topics may include numerical linear algebra, applied partial differential equations, optimal control, parameter estimation and model fitting.
Current topic description: Fall 2020 topic: Numerical linear algebra. This course provides an introduction to the theory and application of numerical linear algebra. Theoretical topics may include Gaussian elimination, orthogonality, vector/matrix norms, singular value decomposition, QR factorization, Gram-Schmidt orthogonalization, projectors and reflectors, least-squares problems, eigenvalue problems. Course material will be supplemented with extensive programming in Matlab/Octave. No prior programming experience required.

Quantitative Readiness Required (QR)

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MATH B390 Number Theory
Not offered 2020-21
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
Not offered 2020-21
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
Not offered 2020-21
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 B400 Senior Research
Independent Study

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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 2020
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 2021
This course is a continuation of Math 501.

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MATH B503 Graduate Algebra I
Not offered 2020-21
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 2020-21
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 B511 Graduate Complex Analysis I
Not offered 2020-21

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MATH B512 General Topology
Fall 2020
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 B517 Adv Topics in Mathematics
Not offered 2020-21

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MATH B522 Complex Analysis
Not offered 2020-21
This course covers the basic notions of complex analysis. Topics covered include analytic functions, Cauchy's theorem, the calculus of residues, conformal mappings, Riemann mapping theorem and Picard's little theorem.

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MATH B525 Algebraic Topology
Spring 2021
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 B530 Differential Topology
Not offered 2020-21
This course covers the basic notions of differential topology. Topics covered include smooth manifolds, smooth maps, differential forms, and integration on manifolds.

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MATH B701 Supervised Work
Fall 2020, Spring 2021

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MATH B701 Supervised Work
Not offered 2020-21

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MATH B702 Research Seminar
Fall 2020

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MATH B702 Research Seminar
Not offered 2020-21

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CHEM B221 Physical Chemistry I
Fall 2020
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 2021
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
Not offered 2020-21
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 2020
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 2021
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 2020
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
Not offered 2020-21
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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