|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 max-min 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 3-space, 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 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.
|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 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.
|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 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.
|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|
|MATH 497R: Directed Study||Credits: 1 - 4||− Description||− Sections|
Content: Credit, one to four hours, as arranged with the department.