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: W302  TuTh 8:30am  9:45am  Silke Gehrke  max 28 
001  MSC: W304  TuTh 11:30am  12:45pm  Tobias Graf  max 28 
002  MSC: W302  MWF 12:50pm  1:40pm  Sean Thomas  max 28 
003  MSC: W302  TuTh 1:00pm  2:15pm  Hasan Palta  max 28 
005  MSC: W302  TuTh 2:30pm  3:45pm  Kinnari Amin  max 28 
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. 
000  MSC: W304  MWF 9:35am  10:25am  Catherine Crompton  max 28 
001  MSC: W304  MWF 10:40am  11:30am  Raya Horesh  max 28 
002  MSC: W304  MWF 11:45am  12:35pm  Zhuojun T. Magnant  max 28 
003  MSC: W304  MWF 12:50pm  1:40pm  Feng Chen  max 28 
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. 
000  MSC: W302  MWF 9:35am  10:25am  Chang Mo Bang  max 30 
001  MSC: W302  MWF 10:40am  11:30am  Chang Mo Bang  max 30 
002  MSC: W301  MWF 11:45am  12:35pm  Ray Lamb  max 30 
003  MSC: W201  MWF 12:50pm  1:40pm  Ray Lamb  max 30 
004  MSC: W302  MWF 2:00pm  2:50pm  Anastasia Svishcheva  max 28 
005  MSC: W201  MWF 3:00pm  3:50pm  Jake McMillen  max 28 
006  MSC: W306  MWF 2:00pm  2:50pm  Benjamin Shemmer  max 28 
MATH 116: Life Sciences Calculus II  Credits: 4  − Description  − Sections 
Content: Second semester calculus with an emphasis on applications to
biology. Topics covered include brief introductions the multivariable calculus
and matrix topics needed to study systems of differential equations used for
modeling in the life sciences. Introduction to probability and inferential
statistics, including hypothesis testing. Particulars: There will be regular written assignments, three midterm exams
and a final exam. Students intending to take Math 211 or Math 212 should meet
with the instructor for advice  Math 112 is often better preparation for
these courses than Math 116. Prerequisites: Math 115 or AP Calculus placement. Students with AP credit are strongly advised to meet with the
instructor before the beginning of the term. 
000  MSC: W201  MWF 9:35am  10:25am  Dwight Duffus  max 40 
002  MSC: W201  MWF 11:45am  12:35pm  Lior Horesh / Audrey Malagon  max 50 
LA1  MSC: W303  M 3:00pm  3:50pm  Dwight Duffus  max 20 
LA2  MSC: W303  M 5:00pm  5:50pm  Lior Horesh  max 25 
LB1  MSC: W303  Tu 9:00am  9:50am  Lior Horesh  max 25 
LC1  MSC: W303  W 8:30am  9:20am  Dwight Duffus  max 20 
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. Particulars: Math 119 is a beginning calculus course designed for students who plan to enter the School of Business. 
000  MSC: W303  MWF 9:35am  10:25am  Verena Kuhlemann  max 28 
001  MSC: W303  MWF 10:40am  11:30am  Sang June Lee  max 28 
002  MSC: W303  MWF 11:45am  12:35pm  Jodi Black  max 28 
003  MSC: W303  MWF 12:50pm  1:40pm  Paul Wrayno  max 28 
004  MSC: W303  MWF 2:00pm  2:50pm  Praphat Fernandes  max 28 
005  MSC: W304  MWF 3:00pm  3:50pm  Alexis Aposporidis  max 28 
MATH 190: Freshman Seminar: Theory of Knots  Credits: 4  − Description  − Sections 
Content: Knots are familiar objects. We use them to tie our shoes, wrap our packages, and moor our boats. Yet they are also quite mysterious: if you have two tangled up ropes, for instance, can you tell if they are tied in the same knot? This course will introduce some of the mathematical techniques people have developed to study knots, partially in an attempt to answer this very question. We will also study connections between knot theory and topology, and try to understand what mathematical knots might have to do with the shape of the universe. Particulars: Text: The Knot Book, by Colin Adams 
000  MSC: W306  TuTh 10:00am  11:15am  Aaron Abrams  max 16 
MATH 190: Freshman Seminar: 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. Particulars: 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. 
001  MSC: E406  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. Prerequisites: Math 112 or Math 112s or Math 112Z. 
000  MSC: W201  TuTh 10:00am  11:15am  Carol Cox  max 36 
001  MSC: W201  TuTh 1:00pm  2:15pm  Carol Cox  max 36 
MATH 212: Differential Equations  Credits: 4  − Description  − Sections 
Content: First and secondorder 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. 
000  MSC: W301  MWF 10:40am  11:30am  Peter Komjath  max 30 
001  MSC: W302  MWF 11:45am  12:35pm  Peter Komjath  max 30 
MATH 221: Linear Algebra  Credits: 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 matheconomics. 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. 
001  MSC: W303  TuTh 11:30am  12:45pm  Robert Roth  max 34 
002  MSC: W301  MWF 2:00pm  2:50pm  Luca Gerardo Giorda  max 34 
MATH 250S: 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. 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. 
001  MSC: E408  TuTh 11:30am  12:45pm  Steve Batterson  max 16 
002  MSC: W306  TuTh 2:30pm  3:45pm  Robert Roth  max 16 
MATH 321: Abstract Vector Spaces  Credits: 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 toward 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. 
000  MSC: W201  MWF 8:30am  9:20am  Dwight Duffus  max 30 
MATH 346: Intro. to Optimization Theory  Credits: 4  − Description  − Sections 
Content: Topics include: Modeling and optimization analysis, simplex method, duality,
transportation problems, elements of probability theory and game theory. Prerequisites: Math 221 (or 321) and CS 170 or consent of instructor.
*Strongly recommended*: Math 211. 
000  MSC: W306  TuTh 11:30am  12:45pm  Vladimir Oliker  max 25 
MATH 351: Partial Differential Equations  Credits: 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. 
000  MSC: W306  TuTh 8:30am  9:45am  Eldad Haber  max 25 
MATH 362: Probability & Statistics II  Credits: 4  − Description  − Sections 
Content: The mathematical theory of statistical inference. Heavy use will be made of the theory of probability developed in Mathematics 361. Prerequisites: Math 361. 
000  MSC: W306  MWF 10:40am  11:30am  David Borthwick  max 28 
MATH 412: Real Analysis II  Credits: 4  − Description  − Sections 
Content: This is a sequel to Math 411: Real Analysis I. Topics in differentiation and integration of functions on Euclidean nspace 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. 
000  MSC: W306  MWF 9:35am  10:25am  Emily Hamilton  max 20 
MATH 422: Abstract Algebra II  Credits: 4  − Description  − Sections 
Content: Math 422 is a continuation of Math 421, 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 422 include:
polynomial rings, unique factorisation, Euclidean domains,
Fields (definition), splitting fields of polynomials, elements of
Galois theory, finite fields. Prerequisites: Mathematics 421 
000  MSC: E406  TuTh 10:00am  11:15am  Raman Parimala  max 16 
MATH 425S: Mathematical Economics  Credits: 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. Prerequisites: Econ 201 and 212; and Math 211 or permission of the instructors. 
000  MSC: W306  TuTh 1:00pm  2:15pm  Skip Garibaldi  max 8 
MATH 489R: Topics in Analysis  Computational Methods in Imaging  Credits: 4  − Description  − Sections 
Content: This course introduces students to mathematical and computational
methods used in biomedical imaging. Topics to be covered include
digital image models and file formats, enhancement, convolution,
Fourier transforms, filtering, segmentation, image restoration, and
image reconstruction. Particular attention is given to computer
implementations using MATLAB. Prerequisites: Math 221 (Linear Algebra) and Math 315
(Numerical Analysis), or permission of the instructor. 
001  MSC: W304  TuTh 1:00pm  2:15pm  James Nagy  max 20 
MATH 495RWR: Honors  Credits: 1  4  − Description  − Sections 

000    Faculty (TBA)  
MATH 497R: Directed Study  Credits: 1  4  − Description  − Sections 
Content: Credit, one to four hours, as arranged with the department. 
00P    Faculty (TBA)  