Undergraduate classes, Fall 2009, Mathematics
Note: All courses taken towards the major or minor must be taken on a letter grade basis, not pass/fail.
MATH 107: Intro. Probability and Statistics  Credits: 4  − Description  − Sections 
Content: Elementary methods for calculating probabilities along with the construction of statistical models. Illustrations from the social sciences and natural sciences. A major goal is to enable the student to draw the correct conclusions to statistical questions, avoiding some of the pitfalls and fallacies encountered. Texts: TBA Assessments: TBA Prerequisites: None  000  MSC: W304  TuTh 2:30pm  3:45pm  Verena Kuhlemann  max 28  001  MSC: W303  MWF 12:50pm  1:40pm  Michal Karonski  max 30  002  MSC: W304  TuTh 1:00pm  2:15pm  Hasan Palta  max 28  003  MSC: W306  TuTh 10:00am  11:15am  Kinnari Amin  max 28  MATH 109: Game Theory, Graphs and Math. Models  Credits: 4  − Description  − Sections 
Content: We will study game theory, graph theory, and other mathematical topics. Game theory computes optimal strategies in simple situations where there is conflict. Graphs are points connected by lines that could be models for practical situations. We aim to gain experience in confronting, studying and solving problems. Texts: TBA Assessments: Usually there will be three exams and a final. Prerequisites: None.  000  MSC: W201  TuTh 11:30am  12:45pm  Robert Roth  max 50  MATH 111: Calculus I  Credits: 4  − Description  − Sections 
Content: Introduction to the derivative and limits, including motivation; differentiation of functions; the chain rule; applications of differentiation including maxmin problems and related rate problems; antiderivatives and the definite integral. Texts: TBA Assessments: TBA Prerequisites: None  000  MSC: W301  MWF 10:40am  11:30am  Chang Mo Bang  max 35  001  MSC: W304  MWF 10:40am  11:30am  Ha Nguyen  max 30  002  MSC: W302  MWF 11:45am  12:35pm  Jodi Black  max 30  003  MSC: W304  MWF 11:45am  12:35pm  Steven La Fleur  max 30  004  MSC: W201  MWF 12:50pm  1:40pm  Jake McMillen  max 30  005  MSC: W304  MWF 12:50pm  1:40pm  Wenfei Zou  max 30  006  MSC: W304  MWF 2:00pm  2:50pm  Marta D'Elia  max 30  007  MSC: W304  MWF 3:00pm  3:50pm  Zhen Wang  max 30  008  MSC: W302  MWF 8:30am  9:20am  Catherine Crompton  max 30  009  MSC: W301  MWF 9:35am  10:25am  Chang Mo Bang  max 35  010  MSC: W302  MWF 9:35am  10:25am  Steven Hamilton  max 30  MATH 112: Calculus II  Credits: 4  − Description  − Sections 
Content: Exponential and logarithmic functions; trigonometric and inverse trigonometric functions; techniques of integration; numerical methods of integration; improper integrals; infinite sequences and series; polar coordinates. Texts: TBA Assessments: TBA Prerequisites: Math 111, Math 115 or placement.  001  MSC: W304  MWF 9:35am  10:25am  Sean Thomas  max 28  002  MSC: W306  MWF 8:30am  9:20am  Veronica M. Bustamante  max 28  MATH 112Z: Calculus II  Credits: 4  − Description  − Sections 
Content: A brief review of topics in Math 111 (see above) followed by a discussion of the transcendental functions, derivatives and antiderivatives of the transcendental functions, techniques of integration, infinite series, and applications of these topics. Texts: TBA Assessments: TBA Prerequisites: These sections are restricted to freshmen with a score of 4 or 5 on the AB Calculus Advanced Placement Test.  000  MSC: W201  MWF 11:45am  12:35pm  Paul Horn  max 25  001  MSC: W303  MWF 9:35am  10:25am  Paul Horn  max 25  002  MSC: W302  TuTh 10:00am  11:15am  Patrick Corn  max 25  003  MSC: W302  MWF 10:40am  11:30am  Aaron Abrams  max 25  005  MSC: W302  TuTh 1:00pm  2:15pm  Patrick Corn  max 25  MATH 115: Life Science Calculus I  Credits: 4  − Description  − Sections 
Content: A first semester calculus class designed for life science
majors. In addition to the basics of differential and integral calculus,
topics shared with Math 111, the course includes an introduction to
mathematical modeling with differential equations. The sequel, Math 116,
includes more modeling topics drawn mainly from population biology, and
and introduction to probability and statistics.
The sequence should not be taken by students intending to major in Mathematics, Physics or Economics. Texts: Calculus for the Life Sciences, by Bittinger, Brand and Quintanilla Assessments: Math 115/116 is required for students obtaining a B.S. in Biology. The calculus topics, dynamics, modeling of biological systems, and the probability & statistics component (in Math 116) are particularly appropriate for the life sciences.
Please consult the Biology Department's web pages for the full description of the
mathematics requirement for Biology majors. Prerequisites: None  000  MSC: W201  MWF 10:40am  11:30am  Luca Gerardo Giorda  max 60  001  MSC: W201  MWF 9:35am  10:25am  Dwight Duffus  max 60  002  MSC: W301  MWF 11:45am  12:35pm  Jake McMillen  max 30  LA1  MSC: W303  M 5:00pm  5:50pm  Luca Gerardo Giorda  max 30  LA2  MSC: W303  M 3:00pm  3:50pm  Dwight Duffus  max 30  LB1  MSC: W303  Tu 9:00am  9:50am  Luca Gerardo Giorda  max 30  LB2  MSC: W302  Tu 4:00pm  4:50pm  Jake McMillen  max 30  LC1  MSC: W303  W 8:30am  9:20am  Dwight Duffus  max 30  MATH 119: Calculus with Business Applications  Credits: 4  − Description  − Sections 
Content: An introduction to differential and integral calculus with applications in Business and Economics. Topics include limits, derivatives, applications of the derivative, exponential and logarithm functions, integration, and applications of integrals. There will be an emphasis on modeling and word problems. Texts: TBA Assessments: TBA Prerequisites: None  000  MSC: W306  MWF 11:45am  12:35pm  Susan Janiszewski  max 28  001  MSC: W302  MWF 12:50pm  1:40pm  Sang June Lee  max 28  002  MSC: W201  MWF 3:00pm  3:50pm  Alexis Aposporidis  max 28  003  MSC: W306  MWF 9:35am  10:25am  Paul Wrayno  max 28  004  MSC: W201  MWF 2:00pm  2:50pm  Christine Klymko  max 28  MATH 190: Freshman Seminar: The Mathematics of Sports, Games and Gambling  Credits: 4  − Description  − Sections 
Content: The course is designed to build the laws of probability, statistics and game
theory through the models of well known games and sports. Fundamental
laws of probability will be developed and applied to
games such as poker, blackjack, backgammon, lotteries and more.
Fundamental combinatorial counting techniques will
be employed to determine outcomes (permutations and combinations).
Card tricks based on mathematical principles will be demonstrated
in order to learn basic ideas of information encoding.
Deeper fundamentals will be introduced using more involved
examples. In developing these theories, laws of fair judging can
also be investigated.
Games will be employed to develop winning strategies or determine
when a win is not possible. Texts: TBA Assessments: Class participation will be a major component of the course.
Small group learning will also be employed, both for in class
experiments and for some assignments. Students will be encouraged to
work together in class to test experiments and raise conjectures. They
will present their ideas to the rest of class.
General writing techniques will also be employed. Formal
and informal writing will be assigned, both to individuals and groups.
Communication of ideas at all levels will be stressed
throughout the course. Prerequisites: None  000  MSC: W306  MWF 2:00pm  2:50pm  Ron Gould  max 16  MATH 211: Multivariable Calculus  Credits: 4  − Description  − Sections 
Content: Vectors and 3space, functions of several variables, multiple integration, vector fields, line integrals. Texts: TBA Assessments: TBA Prerequisites: Math 112 or Math 112s or Math 112Z.  000  MSC: W302  TuTh 11:30am  12:45pm  Steve Batterson  max 30  002  MSC: W303  TuTh 1:00pm  2:15pm  Fred Helenius  max 30  MATH 211: Multivariable Calculus  Physics Applications  Credits: 4  − Description  − Sections 
Content: This section of Math 211 is designed to meet the needs of physics majors, but math majors and others with strong interest are welcome. Topics include vectors and 3space, functions of several variables, parametrized curves, vector fields, line integrals, surfaces, gradients, partial derivatives, multiple integrals in various coordinate systems, conservative fields, circulation, flux, Stokes' Theorem. Optimization (for economics) will not be covered. Texts: TBA Assessments: TBA Prerequisites: Math 112, Math 112s, or Math 112Z. The course is required for physics majors.  001  MSC: W201  TuTh 10:00am  11:15am  Eric Brussel  max 50  MATH 212: Differential Equations  Credits: 4  − Description  − Sections 
Content: First and secondorder differential equations, systems of differential equations, power series solutions, applications. Texts: TBA Assessments: TBA Prerequisites: Math 112 or Math 112s or Math 112Z.  000  MSC: W201  TuTh 1:00pm  2:15pm  Alessandro Veneziani  max 35  MATH 221: Linear Algebra  Credits: 4  − Description  − Sections 
Content: A study of systems of linear equations, matrices, determinants, linear transformations, eigenvalues and eigenvectors. Texts: TBA Assessments: TBA Prerequisites: Math 112 or Math 112s or Math 112Z.  000  MSC: W306  MWF 10:40am  11:30am  James Nagy  max 30  001  MSC: W303  MWF 11:45am  12:35pm  James Nagy  max 32  002  MSC: W301  TuTh 10:00am  11:15am  Tiziano Passerini  max 32  MATH 250: Foundations of Mathematics  Credits: 4  − Description  − Sections 
Content: This course provides the bridge from calculus to more abstract mathematics courses. It is a small seminar intended to develop the student's ability to work with fundamental logical and mathematical concepts. Emphasis will be placed on the careful and precise expression of ideas. Texts: TBA Assessments: TBA Prerequisites: Math 112 or Math 112s or Math 112Z or consent of instructor.  000  MSC: E406  MWF 10:40am  11:30am  Emily Hamilton  max 15  001  MSC: W303  TuTh 2:30pm  3:45pm  Robert Roth  max 15  MATH 315: Numerical Analysis  Credits: 4  − Description  − Sections 
Content: Solving scientific problems using the computer. Topics include
linear and nonlinear equations, approximation and interpolation, quadrature, numerical solution of differential equations. Texts: TBA Assessments: TBA Prerequisites: Math 221 or CS 170, or equivalent programming experience.  000  MSC: W306  TuTh 8:30am  9:45am  Alessandro Veneziani  max 25  MATH 318: Complex Variables  Credits: 4  − Description  − Sections 
Content: An introduction to complex numbers and functions of a complex variable. Emphasis will be placed on both the similarities and differences between real and complex functions and their development. The course will develop the calculus of complex functions including continuity, differentiation, integration, and power series. Other topics will include residues and applications. Texts: TBA Assessments: TBA Prerequisites: Math 211 and 250 or consent of instructor.  000  MSC: W306  TuTh 1:00pm  2:15pm  Shanshuang Yang  max 25  MATH 328: Number Theory  Credits: 4  − Description  − Sections 
Content: Pythagorean Triples, Divisibility and Greatest Common Divisor, Linear Equations, Factorization and Fundamental Theorem of Arithmetic, Congruences, Prime Numbers, Primality Testing, Quadratic Reciprocity, Sums of Squares, Diophantine Equations, Gaussian Integers, Continued Fractions, Generating Functions Texts: A Friendly Introduction to Number Theory by Joseph Silverman Assessments: TBA Prerequisites: Math 250.  000  MSC: E408  TuTh 10:00am  11:15am  Raman Parimala  max 15  MATH 361: Probability & Statistics I  Credits: 4  − Description  − Sections 
Content: After an overview of finite probability theory, the course will deal primarily with continuous probability theory. Topics include distribution models (binomial, geometric, uniform, normal, Poisson, and exponential), the Chebyshev inequality, expectation, moment generating functions, the central limit theorem plus applications. Texts: TBA Assessments: TBA Prerequisites: Math 211 or permission of instructor.  000  MSC: W303  MWF 10:40am  11:30am  Michal Karonski  max 30  MATH 411: Real Analysis  Credits: 4  − Description  − Sections 
Content: Analysis of sets and functions in nspace. The course will begin with the study of basic topological properties and then proceed through continuity and differentiation. Classical results from real analysis such as the extreme value theorem, chain rule, equality of mixed partials, and inverse function theorem will be presented. Emphasis will be placed on rigorous proof and intuition rather than computation. Texts: TBA Assessments: TBA Prerequisites: Math 211, Math 221 and Math 250.  000  MSC: W306  TuTh 2:30pm  3:45pm  Steve Batterson  max 25  MATH 421: Abstract Algebra I  Credits: 4  − Description  − Sections 
Content: Groups (definition and examples), cosets, Lagrange's Theorem,
symmetric and alternating groups, Cayley's Theorem, isomorphisms,
Cauchy's Theorem, quotient groups and homomorphisms, and the action of a group on a set. Additional topics may include the Sylow Theorems. Texts: TBA Assessments: TBA Prerequisites: Math 221 or 321, and Math 250.  000  MSC: E408  TuTh 11:30am  12:45pm  Eric Brussel  max 15  MATH 497R: Directed Study  Credits: 1  4  − Description  − Sections 
Content: Credit, one to four hours, as arranged with the department. Texts: TBA Assessments: TBA Prerequisites: TBA  000  MSC:    Faculty (TBA)  
