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.
|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.
Assessments: Usually there will be three exams and a final.
|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 max-min problems and related rate problems; antiderivatives and the definite integral.
|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.
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.
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.
|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.
|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.
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.
|000||MSC: W306||MWF 2:00pm - 2:50pm||Ron Gould||max 16|
|MATH 211: Multivariable Calculus||Credits: 4||− Description||− Sections|
Content: Vectors and 3-space, functions of several variables, multiple integration, vector fields, line integrals.
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 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.
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 second-order differential equations, systems of differential equations, power series solutions, applications.
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.
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.
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.
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.
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
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.
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 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.
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.
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.
|000||MSC: -----||Faculty (TBA)|