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 StatisticsCredits: 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
000MSC: W304TuTh 2:30pm - 3:45pmVerena Kuhlemannmax 28
001MSC: W303MWF 12:50pm - 1:40pmMichal Karonskimax 30
002MSC: W304TuTh 1:00pm - 2:15pmHasan Paltamax 28
003MSC: W306TuTh 10:00am - 11:15amKinnari Aminmax 28
MATH 109: Game Theory, Graphs and Math. ModelsCredits: 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.
000MSC: W201TuTh 11:30am - 12:45pmRobert Rothmax 50
MATH 111: Calculus ICredits: 4− Description− Sections
Content: Introduction to the derivative and limits, including motivation; differentiation of functions; the chain rule; applications of differentiation including max-min problems and related rate problems; antiderivatives and the definite integral.
Texts: TBA
Assessments: TBA
Prerequisites: None
000MSC: W301MWF 10:40am - 11:30amChang Mo Bangmax 35
001MSC: W304MWF 10:40am - 11:30amHa Nguyenmax 30
002MSC: W302MWF 11:45am - 12:35pmJodi Blackmax 30
003MSC: W304MWF 11:45am - 12:35pmSteven La Fleurmax 30
004MSC: W201MWF 12:50pm - 1:40pmJake McMillenmax 30
005MSC: W304MWF 12:50pm - 1:40pmWenfei Zoumax 30
006MSC: W304MWF 2:00pm - 2:50pmMarta D'Eliamax 30
007MSC: W304MWF 3:00pm - 3:50pmZhen Wangmax 30
008MSC: W302MWF 8:30am - 9:20amCatherine Cromptonmax 30
009MSC: W301MWF 9:35am - 10:25amChang Mo Bangmax 35
010MSC: W302MWF 9:35am - 10:25amSteven Hamiltonmax 30
MATH 112: Calculus IICredits: 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.
001MSC: W304MWF 9:35am - 10:25amSean Thomasmax 28
002MSC: W306MWF 8:30am - 9:20amVeronica M. Bustamantemax 28
MATH 112Z: Calculus IICredits: 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.
000MSC: W201MWF 11:45am - 12:35pmPaul Hornmax 25
001MSC: W303MWF 9:35am - 10:25amPaul Hornmax 25
002MSC: W302TuTh 10:00am - 11:15amPatrick Cornmax 25
003MSC: W302MWF 10:40am - 11:30amAaron Abramsmax 25
005MSC: W302TuTh 1:00pm - 2:15pmPatrick Cornmax 25
MATH 115: Life Science Calculus ICredits: 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
000MSC: W201MWF 10:40am - 11:30amLuca Gerardo Giordamax 60
001MSC: W201MWF 9:35am - 10:25amDwight Duffusmax 60
002MSC: W301MWF 11:45am - 12:35pmJake McMillenmax 30
LA1MSC: W303M 5:00pm - 5:50pmLuca Gerardo Giordamax 30
LA2MSC: W303M 3:00pm - 3:50pmDwight Duffusmax 30
LB1MSC: W303Tu 9:00am - 9:50amLuca Gerardo Giordamax 30
LB2MSC: W302Tu 4:00pm - 4:50pmJake McMillenmax 30
LC1MSC: W303W 8:30am - 9:20amDwight Duffusmax 30
MATH 119: Calculus with Business ApplicationsCredits: 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
000MSC: W306MWF 11:45am - 12:35pmSusan Janiszewskimax 28
001MSC: W302MWF 12:50pm - 1:40pmSang June Leemax 28
002MSC: W201MWF 3:00pm - 3:50pmAlexis Aposporidismax 28
003MSC: W306MWF 9:35am - 10:25amPaul Wraynomax 28
004MSC: W201MWF 2:00pm - 2:50pmChristine Klymkomax 28
MATH 190: Freshman Seminar: The Mathematics of Sports, Games and GamblingCredits: 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
000MSC: W306MWF 2:00pm - 2:50pmRon Gouldmax 16
MATH 211: Multivariable CalculusCredits: 4− Description− Sections
Content: Vectors and 3-space, functions of several variables, multiple integration, vector fields, line integrals.
Texts: TBA
Assessments: TBA
Prerequisites: Math 112 or Math 112s or Math 112Z.
000MSC: W302TuTh 11:30am - 12:45pmSteve Battersonmax 30
002MSC: W303TuTh 1:00pm - 2:15pmFred Heleniusmax 30
MATH 211: Multivariable Calculus - Physics ApplicationsCredits: 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 3-space, 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.
001MSC: W201TuTh 10:00am - 11:15amEric Brusselmax 50
MATH 212: Differential EquationsCredits: 4− Description− Sections
Content: First and second-order differential equations, systems of differential equations, power series solutions, applications.
Texts: TBA
Assessments: TBA
Prerequisites: Math 112 or Math 112s or Math 112Z.
000MSC: W201TuTh 1:00pm - 2:15pmAlessandro Venezianimax 35
MATH 221: Linear AlgebraCredits: 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.
000MSC: W306MWF 10:40am - 11:30amJames Nagymax 30
001MSC: W303MWF 11:45am - 12:35pmJames Nagymax 32
002MSC: W301TuTh 10:00am - 11:15amTiziano Passerinimax 32
MATH 250: Foundations of MathematicsCredits: 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.
000MSC: E406MWF 10:40am - 11:30amEmily Hamiltonmax 15
001MSC: W303TuTh 2:30pm - 3:45pmRobert Rothmax 15
MATH 315: Numerical AnalysisCredits: 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.
000MSC: W306TuTh 8:30am - 9:45amAlessandro Venezianimax 25
MATH 318: Complex VariablesCredits: 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.
000MSC: W306TuTh 1:00pm - 2:15pmShanshuang Yangmax 25
MATH 328: Number TheoryCredits: 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.
000MSC: E408TuTh 10:00am - 11:15amRaman Parimalamax 15
MATH 361: Probability & Statistics ICredits: 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.
000MSC: W303MWF 10:40am - 11:30amMichal Karonskimax 30
MATH 411: Real AnalysisCredits: 4− Description− Sections
Content: Analysis of sets and functions in n-space. 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.
000MSC: W306TuTh 2:30pm - 3:45pmSteve Battersonmax 25
MATH 421: Abstract Algebra ICredits: 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.
000MSC: E408TuTh 11:30am - 12:45pmEric Brusselmax 15
MATH 497R: Directed StudyCredits: 1 - 4− Description− Sections
Content: Credit, one to four hours, as arranged with the department.
Texts: TBA
Assessments: TBA
Prerequisites: TBA
000MSC: -----Faculty (TBA)