Undergraduate classes, Spring 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: W301MWF 10:40am - 11:30amFred Heleniusmax 27
001MSC: W301TuTh 11:30am - 12:45pmSilke Gehrkemax 27
002MSC: W302MWF 12:50pm - 1:40pmPraphat Fernandesmax 27
003MSC: W201TuTh 1:00pm - 2:15pmKinnari Aminmax 27
004MSC: W303TuTh 2:30pm - 3:45pmTobias Grafmax 27
005MSC: W303MWF 3:00pm - 3:50pmJodi Blackmax 27
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: W303MWF 9:35am - 10:25amHasan Paltamax 30
001MSC: W303MWF 10:40am - 11:30amSean Thomasmax 30
002MSC: W303MWF 11:45am - 12:35pmHa Nguyenmax 30
003MSC: W303MWF 12:50pm - 1:40pmFeng Chenmax 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.
Prerequisites: Math 111, Math 115 or placement.
000MSC: W301MWF 9:35am - 10:25amChang Mo Bangmax 30
001MSC: W201MWF 10:40am - 11:30amChang Mo Bangmax 30
002MSC: W201MWF 11:45am - 12:35pmRay Lambmax 30
004MSC: W201MWF 12:50pm - 1:40pmRay Lambmax 30
005MSC: W201MWF 2:00pm - 2:50pmJake McMillenmax 30
006MSC: W301MWF 3:00pm - 3:50pmYing Wai (Daniel) Fanmax 27
MATH 116: Life Sciences Calculus IICredits: 4− Description− Sections
Content: Second semester calculus with an emphasis on applications to biology. Topics covered include integration, simple differential equations, multivariable calculus, discrete probability, and statistics.
Particulars: First year Biology majors with no AP credit must take the Math 115/116 sequence.
Prerequisites: Math 115, Math 111, or placement.
000MSC: W201MWF 9:35am - 10:25amDwight Duffusmax 25
L-AMSC: W304M 3:00pm - 3:50pmJeremiah Packmax 25
L-CMSC: W304W 8:30am - 9:20amJeremiah Packmax 25
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.
000Atwood 360TuTh 8:30am - 9:45amEldad Habermax 153
001MSC: W306TuTh 11:30am - 12:45pmBenjamin Shemmermax 27
L-AMSC: W302M 9:35am - 10:25amVerena Kuhlemannmax 20
L-CMSC: W302W 9:35am - 10:25amVerena Kuhlemannmax 20
L-EMSC: W302F 9:35am - 10:25amVerena Kuhlemannmax 20
LA1MSC: W302M 2:00pm - 2:50pmPaul Wraynomax 20
LA2MSC: W302M 3:00pm - 3:50pmAlexis Aposporidismax 20
LC1MSC: W302W 2:00pm - 2:50pmPaul Wraynomax 20
LC2MSC: W302W 3:00pm - 3:50pmAlexis Aposporidismax 20
LE1MSC: W302F 2:00pm - 2:50pmPaul Wraynomax 20
LE2MSC: W302F 3:00pm - 3:50pmAlexis Aposporidismax 20
MATH 190: Freshman Seminar: Sports, Games and GamblingCredits: 4− Description− Sections
Content: In this course we will learn some mathematics from the areas of probability, game theory, and combinatorial design theory by investigating topics from the world of sports, competitive games of strategy, casino games, lotteries, and the mathematical theory of games. Depending upon the interests of students in the class, possible topics include backgammon, poker, othello (and other board games), football and basketball pools, baseball statistics, evaluation of individual player performances in team sports such as basketball and hockey, and card games such as hearts, casino and blackjack (although the complexity of the game and the use of multiple deck shoes make a mathematical analysis of blackjack beyond the scope of this seminar, we can still make intelligent empirical observations about various playing and betting strategies; i.e., we can still have a good time playing the game).
000MSC: W304TuTh 11:30am - 12:45pmRobert Rothmax 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: W301TuTh 10:00am - 11:15amJulia Garibaldimax 25
001MSC: E408MWF 11:45am - 12:35pmWilliam Mahaviermax 15
002MSC: W301MWF 2:00pm - 2:50pmSteve Battersonmax 25
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: W301MWF 12:50pm - 1:40pmSteve Battersonmax 40
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 10:00am - 11:15amMichele Benzimax 35
001MSC: W201TuTh 11:30am - 12:45pmAlessandro Venezianimax 30
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: E408MWF 9:35am - 10:25amWilliam Mahaviermax 15
001MSC: W306TuTh 2:30pm - 3:45pmRobert Rothmax 15
MATH 321: Abstract Vector SpacesCredits: 4− Description− Sections
Content: This course will begin with the theory of vector spaces. We will examine matrices and linear transformations and then develop their relationship. All of this builds towards the study of eigenvalues, diagonalization, and Jordan canonical form. Emphasis will be placed on rigorous proof and intuition, rather than computation.
Particulars: This course is required for the B.S. degree in Mathematics. Math 221 is no longer a prerequisite for Math 321. However, since Math 321 will assume familiarity with matrices, some students might benefit from enrolling in Math 221 prior to Math 321.
Prerequisites: Math 250.
000MSC: W306TuTh 8:30am - 9:45amRaman Parimalamax 27
MATH 344: Differential GeometryCredits: 4− Description− Sections
Content: Topics include: Curves and surfaces in 3-space. Curvature and geometry of the Gauss map. Special surfaces. The intrinsic geometry of surfaces. Surfaces and computer graphics.
Prerequisites: Mathematics 211, 221 or 321, and 250.
000MSC: W304TuTh 2:30pm - 3:45pmGideon Maschlermax 27
MATH 346: Intro. to Optimization TheoryCredits: 4− Description− Sections
Content: The course will deal with the theory of optimization and its applications. Topics include: optimization in many dimensions, theory of constrained optimization, and applications.
Particulars: Students will learn to use matlab (a system for doing mathematics by computer) as an aid in problem solving.
Prerequisites: Math 221 and CS 170 or consent of instructor. *Strongly recommended*: Math 211.
000MSC: W304MWF 9:35am - 10:25amEdward Goetzemax 27
MATH 351: Partial Differential EquationsCredits: 4− Description− Sections
Content: PDE's and their origin, classification of PDE's, analytical methods for the solutions of PDE's, qualitative properties of the solutions, eigenvalue problems and introduction to numerical methods. At the end of the course students should know to use PDE's for simple models, classify PDE's and solve some simple PDE's.
Prerequisites: Math 211, Math 221.
000MSC: W304TuTh 1:00pm - 2:15pmJames Nagymax 27
MATH 362: Probability & Statistics IICredits: 4− Description− Sections
Content: The theory and practice of statistics. Heavy use will be made of the theory of probability developed in Mathematics 361.
Prerequisites: Math 361.
000MSC: W306TuTh 10:00am - 11:15amAndrzej Rucinskimax 27
MATH 412: Real Analysis IICredits: 4− Description− Sections
Content: This is a sequel to Math 411: Real Analysis I. Topics in differentiation and integration of functions on Euclidean n-space will be studied.
Particulars: Emphasis will be placed on proof and intuition rather than computation. This course is required for the BS degree in Mathematics.
Prerequisites: Math 411.
000MSC: E406MWF 9:35am - 10:25amDavid Borthwickmax 27
MATH 422: Abstract Algebra IICredits: 4− Description− Sections
Content: Math 324 is a continuation of Math 323, and is primarily concerned with Ring Theory and Field Theory. Rings and fields were invented to solve problems in the theory of numbers, but now have broad applications in all parts of mathematics. Topics in Math 324 include: Rings (definition and examples), quotient rings and homomorphisms, Euclidean rings, polynomial rings, fields (definition), and roots of polynomials.
Particulars: There will be one or two exams during the semester and a final exam in addition to regular homework assignments.
Prerequisites: Math 323.
000MSC: W302TuTh 11:30am - 12:45pmVictoria Powersmax 27
MATH 425S: Mathematical EconomicsCredits: 4− Description− Sections
Content: The course focuses on various models from microeconomics and on the mathematical tools used to analyze these models. The scope includes consumer behavior, theory of the firm, risk analysis, and game theory. The underlying mathematical tools come generally from constrained optimization of functions of several variables. The material studied is from the class notes and from the current literature.
Particulars: This course is required for the joint major in economics and mathematics. Grades in the course are based on class participation, homework, and two examinations.
Prerequisites: Econ 201 and Math 211 or permission of the instructors.
000MSC: W301TuTh 1:00pm - 2:15pmSkip Garibaldimax 16
MATH 495RWR: HonorsCredits: 1 - 4− Description− Sections
000Faculty (TBA)
MATH 497R: Directed StudyCredits: 1 - 4− Description− Sections
000Faculty (TBA)