Undergraduate classes, Fall 2008, 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.
000MSC: W301TuTh 8:30am - 9:45amKinnari Aminmax 30
001MSC: W301TuTh 10:00am - 11:15amAudrey Malagonmax 30
002MSC: W302TuTh 10:00am - 11:15amMichal Karonskimax 30
003MSC: W304TuTh 11:30am - 12:45pmTobias Grafmax 28
004MSC: W304MWF 2:00pm - 2:50pmSean Thomasmax 28
005MSC: W306TuTh 2:30pm - 3:45pmSilke Gehrkemax 28
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.
000MSC: W201MWF 8:30am - 9:20amCatherine Cromptonmax 28
001MSC: W301MWF 9:35am - 10:25amChang Mo Bangmax 35
002MSC: W304MWF 9:35am - 10:25amDomingos Dellamonicamax 28
003MSC: W201MWF 10:40am - 11:30amRay Lambmax 35
004MSC: W301MWF 10:40am - 11:30amChang Mo Bangmax 35
005MSC: W302MWF 11:45am - 12:35pmZhuojun T. Magnantmax 28
006MSC: W304MWF 11:45am - 12:35pmPiotr Wendykiermax 28
007MSC: W201MWF 12:50pm - 1:40pmRay Lambmax 35
008MSC: W301MWF 12:50pm - 1:40pmJake McMillenmax 28
009MSC: W201MWF 2:00pm - 2:50pmRay Lambmax 35
010MSC: W302MWF 2:00pm - 2:50pmRaya Horeshmax 28
012MSC: W304TuTh 2:30pm - 3:45pmBenjamin Shemmermax 28
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.
Prerequisites: Math 111, Math 115 or placement.
000MSC: W306MWF 8:30am - 9:20amFeng Chenmax 28
001MSC: W304MWF 12:50pm - 1:40pmAnastasia Svishchevamax 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.
Particulars: For freshmen only.
Prerequisites: These sections are restricted to freshmen with a score of 4 or 5 on the AB Calculus Advanced Placement Test.
000MSC: W303TuTh 8:30am - 9:45amVojtech Rodlmax 30
001MSC: W303TuTh 11:30am - 12:45pmSteve Battersonmax 30
002MSC: W302MWF 12:50pm - 1:40pmSkip Garibaldimax 30
003MSC: W303TuTh 1:00pm - 2:15pmShanshuang Yangmax 30
004MSC: W302MWF 10:40am - 11:30amAaron Abramsmax 27
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 of competition, epidemics, and population by means of discrete dynamics. The sequel, Math 116, includes probability and statistics.
Particulars: Freshmen who have a question about their placement in mathematics should come to the Department of Mathematics and Computer Science during the orientation period for a brief interview with one of the department's faculty members. This should be done before the student's appointment with his/her academic adviser.
Prerequisites: 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. The sequence should not be taken by students intending to major in Mathematics, Physics or Economics.
000MSC: W201MWF 9:35am - 10:25amDwight Duffusmax 28
000LMSC: W304W 8:30am - 9:20amVeronica M. Bustamantemax 28
001MSC: W201MWF 9:35am - 10:25amDwight Duffusmax 28
001LMSC: W304M 3:00pm - 3:50pmVeronica M. Bustamantemax 28
002MSC: W201MWF 11:45am - 12:35pmLior Horeshmax 28
002LMSC: W201Tu 9:00am - 9:50amMarta D'Eliamax 28
003MSC: W201MWF 11:45am - 12:35pmLior Horeshmax 28
003LMSC: W304M 5:00pm - 5:50pmMarta D'Eliamax 28
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.
Particulars: Math 119 is a beginning calculus course designed for students who plan to enter the School of Business.
000MSC: W302TuTh 8:30am - 9:45amHasan Paltamax 28
001MSC: W302MWF 9:35am - 10:25amPaul Wraynomax 28
002MSC: W304MWF 10:40am - 11:30amJodi Blackmax 28
003MSC: W303MWF 11:45am - 12:35pmAlexis Aposporidismax 28
004MSC: W303MWF 12:50pm - 1:40pmVerena Kuhlemannmax 28
005MSC: W306MWF 2:00pm - 2:50pmPraphat Fernandesmax 28
MATH 190: Freshmen Seminar: The Math of Voting and ElectionsCredits: 4− Description− Sections
Content: In 1998, Jesse Ventura was elected governor of Minnesota even though most of the state's population preferred either of the other two candidates. In 2000, George W. Bush became the president of the U.S. even though Al Gore received at least half a million more votes than Bush. Have you ever wondered why elections produce results that seem to be displeasing to many of the voters involved? In this course we will use mathematics to study voting systems, identify paradoxical situations that can result from the choice of a voting procedure, and examine how using voting procedures that seem fair can result in outcomes that differ from what the voters really wanted. We will also use mathematics to measure power in political systems. Since this is a presidential election year, we will use what we have learned to study the U.S. Electoral College system. There are no prerequisites for this course, but students should have an interest in both mathematics and politics.
000MSC: E408TuTh 11:30am - 12:45pmVictoria Powersmax 16
MATH 190: Freshman Seminar: CryptologyCredits: 4− Description− Sections
Content: When you buy something on the web, you broadcast your credit card number to untold numbers of other computers. How is your number kept secret? When you swipe your credit card at the grocery store checkout, sometimes the machine knows that it mis-read your card without calling Visa. How does it know? These questions and others will be answered. Also, we will discuss the role of secret codes and codebreaking in wartime, criminal activity, and the lives of law-abiding citizens.
Particulars: The style of this course will be halfway between a humanities and a mathematics class. There will be two written papers and one in-class mathematics exam.
Prerequisites: 4 or 5 on the Calculus AB exam or equivalent on the Calculus BC exam.
001MSC: W301MWF 3:00pm - 3:50pmSkip Garibaldimax 16
MATH 211: Multivariable CalculusCredits: 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.
000MSC: W303MWF 9:35am - 10:25amJulia Garibaldimax 40
MATH 211P: Multivariable CalculusCredits: 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.
000MSC: W303TuTh 10:00am - 11:15amEric Brusselmax 40
MATH 212: Differential EquationsCredits: 4− Description− Sections
Content: First and second-order differential equations, systems of differential equations, power series solutions, applications.
Particulars: Primary emphasis will be placed on developing techniques for the solution of differential equations. Some time will be spent on theory and applications.
Prerequisites: Math 112 or Math 112s or Math 112Z.
000MSC: W302TuTh 11:30am - 12:45pmVladimir Olikermax 30
MATH 221: Linear AlgebraCredits: 4− Description− Sections
Content: A study of systems of linear equations, matrices, determinants, linear transformations, eigenvalues and eigenvectors.
Particulars: This course is required for most degrees in mathematics, computer science and math-economics. Math 221 is also a prerequisite for several other courses required for these degrees. Students who have completed Math 250 and desire a more abstract treatment of linear algebra, should consider enrolling in Math 321 instead of Math 221.
Prerequisites: Math 112 or Math 112s or Math 112Z.
000MSC: W201TuTh 11:30am - 12:45pmRobert Rothmax 40
001MSC: W201TuTh 2:30pm - 3:45pmAlessandro Venezianimax 40
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.
Particulars: Students planning a degree in Mathematics should complete Math 250 by the end of their sophomore year.
Prerequisites: Math 112 or Math 112s or Math 112Z or consent of instructor.
000MSC: E408MWF 10:40am - 11:30amEmily Hamiltonmax 15
MATH 250S: 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. The students and the instructor will construct proofs of theorems and present them in class.
Particulars: Students planning a degree in Mathematics should complete Math 250 by the end of their sophomore year.
Prerequisites: Math 112 or Math 112s or Math 112Z or consent of instructor.
000MSC: E406TuTh 2:30pm - 3:45pmSteve Battersonmax 15
MATH 270: History and Philosophy of MathematicsCredits: 4− Description− Sections
Content: (Crosslisted with Philosophy 270) Topics in the history of mathematics and their philosophical background. Genesis and evolution of ideas in analysis, algebra, geometry, mechanics, foundations. Historical and philosophical aspects of concepts of infinity, mathematical rigor, probability, etc. The emergence of mathematical schools.
Particulars: In this course we will learn about the emergence of the Calculus in the 17th and 18th centuries, with an emphasis on early modern authors. In particular, we will study how the basic concepts (functions, continuity, limits, derivatives, integrals, etc.) were developed, and what were the motivations of the mathematicians, scientists, and philosophers who laid the foundations of the Calculus. The course will be co-taught by Michele Benzi and Ursula Goldenbaum.
Prerequisites: Math 112, 112Z, 112S or permission of the instructors.
000MSC: W306TuTh 1:00pm - 2:15pmMichele Benzimax 25
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.
Particulars: Math 221, and CS 150 or CS 170, or equivalent programming experience. A number of (mathematical) problem assignments and (computer) programming assignments will be assigned. All programming assignments will be done using MATLAB. No previous MATLAB experience is required. A number of (mathematical) problem assignments and (computer) programming assignments will be assigned.
Prerequisites: Math 221, and CS 150 or CS 170, or equivalent programming experience.
000MSC: W304TuTh 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.
Prerequisites: Math 211 and 250 or consent of instructor.
000MSC: W306TuTh 11:30am - 12:45pmEric Brusselmax 25
MATH 330S: Introduction to CombinatoricsCredits: 4− Description− Sections
Content: Graph theory and ordered sets; counting, recursion and generating functions; block designs, coding theory and finite geometry.
Particulars: The textbook will be Introductory Combinatorics by Richard A. Brualdi.
Prerequisites: Math 221 and Math 250.
000MSC: E408TuTh 2:30pm - 3:45pmRobert Rothmax 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.
Particulars: There will be a final exam and two hour exams. The sequel to this course is Math 362 which is devoted primarily to statistical problems such as estimation, sampling and hypothesis testing procedures. Math 362 is given spring semester.
Prerequisites: Math 211 or permission of instructor.
000MSC: W306MWF 10:40am - 11:30amDavid Borthwickmax 25
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.
Prerequisites: Math 211, Math 221 and Math 250.
000MSC: W306MWF 9:35am - 10:25amEmily Hamiltonmax 20
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.
Prerequisites: Math 221 or 321, and Math 250.
000MSC: E406TuTh 10:00am - 11:15amRaman Parimalamax 15
MATH 486S: Topics in Topology: Point Set TopologyCredits: 4− Description− Sections
Content: This class has been canceled for Fall 2008.
---William Mahavier
MATH 497R: Directed StudyCredits: 1 - 4− Description− Sections
000Faculty (TBA)