|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: W301||MWF 10:40am - 11:30am||Fred Helenius||max 27|
|001||MSC: W301||TuTh 11:30am - 12:45pm||Silke Gehrke||max 27|
|002||MSC: W302||MWF 12:50pm - 1:40pm||Praphat Fernandes||max 27|
|003||MSC: W201||TuTh 1:00pm - 2:15pm||Kinnari Amin||max 27|
|004||MSC: W303||TuTh 2:30pm - 3:45pm||Tobias Graf||max 27|
|005||MSC: W303||MWF 3:00pm - 3:50pm||Jodi Black||max 27|
|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: W303||MWF 9:35am - 10:25am||Hasan Palta||max 30|
|001||MSC: W303||MWF 10:40am - 11:30am||Sean Thomas||max 30|
|002||MSC: W303||MWF 11:45am - 12:35pm||Ha Nguyen||max 30|
|003||MSC: W303||MWF 12:50pm - 1:40pm||Feng Chen||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.
|000||MSC: W301||MWF 9:35am - 10:25am||Chang Mo Bang||max 30|
|001||MSC: W201||MWF 10:40am - 11:30am||Chang Mo Bang||max 30|
|002||MSC: W201||MWF 11:45am - 12:35pm||Ray Lamb||max 30|
|004||MSC: W201||MWF 12:50pm - 1:40pm||Ray Lamb||max 30|
|005||MSC: W201||MWF 2:00pm - 2:50pm||Jake McMillen||max 30|
|006||MSC: W301||MWF 3:00pm - 3:50pm||Ying Wai (Daniel) Fan||max 27|
|MATH 116: Life Sciences Calculus II||Credits: 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.
|000||MSC: W201||MWF 9:35am - 10:25am||Dwight Duffus||max 25|
|L-A||MSC: W304||M 3:00pm - 3:50pm||Jeremiah Pack||max 25|
|L-C||MSC: W304||W 8:30am - 9:20am||Jeremiah Pack||max 25|
|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||Atwood 360||TuTh 8:30am - 9:45am||Eldad Haber||max 153|
|001||MSC: W306||TuTh 11:30am - 12:45pm||Benjamin Shemmer||max 27|
|L-A||MSC: W302||M 9:35am - 10:25am||Verena Kuhlemann||max 20|
|L-C||MSC: W302||W 9:35am - 10:25am||Verena Kuhlemann||max 20|
|L-E||MSC: W302||F 9:35am - 10:25am||Verena Kuhlemann||max 20|
|LA1||MSC: W302||M 2:00pm - 2:50pm||Paul Wrayno||max 20|
|LA2||MSC: W302||M 3:00pm - 3:50pm||Alexis Aposporidis||max 20|
|LC1||MSC: W302||W 2:00pm - 2:50pm||Paul Wrayno||max 20|
|LC2||MSC: W302||W 3:00pm - 3:50pm||Alexis Aposporidis||max 20|
|LE1||MSC: W302||F 2:00pm - 2:50pm||Paul Wrayno||max 20|
|LE2||MSC: W302||F 3:00pm - 3:50pm||Alexis Aposporidis||max 20|
|MATH 190: Freshman Seminar: Sports, Games and Gambling||Credits: 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).
|000||MSC: W304||TuTh 11:30am - 12:45pm||Robert Roth||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: W301||TuTh 10:00am - 11:15am||Julia Garibaldi||max 25|
|001||MSC: E408||MWF 11:45am - 12:35pm||William Mahavier||max 15|
|002||MSC: W301||MWF 2:00pm - 2:50pm||Steve Batterson||max 25|
|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 12:50pm - 1:40pm||Steve Batterson||max 40|
|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.
|000||MSC: W201||TuTh 10:00am - 11:15am||Michele Benzi||max 35|
|001||MSC: W201||TuTh 11:30am - 12:45pm||Alessandro Veneziani||max 30|
|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.
|000||MSC: E408||MWF 9:35am - 10:25am||William Mahavier||max 15|
|001||MSC: W306||TuTh 2:30pm - 3:45pm||Robert Roth||max 15|
|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 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.
|000||MSC: W306||TuTh 8:30am - 9:45am||Raman Parimala||max 27|
|MATH 344: Differential Geometry||Credits: 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.
|000||MSC: W304||TuTh 2:30pm - 3:45pm||Gideon Maschler||max 27|
|MATH 346: Intro. to Optimization Theory||Credits: 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.
|000||MSC: W304||MWF 9:35am - 10:25am||Edward Goetze||max 27|
|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: W304||TuTh 1:00pm - 2:15pm||James Nagy||max 27|
|MATH 362: Probability & Statistics II||Credits: 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.
|000||MSC: W306||TuTh 10:00am - 11:15am||Andrzej Rucinski||max 27|
|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: E406||MWF 9:35am - 10:25am||David Borthwick||max 27|
|MATH 422: Abstract Algebra II||Credits: 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
Particulars: There will be one or two exams during the semester and a final
exam in addition to regular homework assignments.
Prerequisites: Math 323.
|000||MSC: W302||TuTh 11:30am - 12:45pm||Victoria Powers||max 27|
|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. Grades in the course are based on class participation, homework, and two examinations.
Prerequisites: Econ 201 and Math 211 or permission of the instructors.
|000||MSC: W301||TuTh 1:00pm - 2:15pm||Skip Garibaldi||max 16|
|MATH 495RWR: Honors||Credits: 1 - 4||− Description||− Sections|
|MATH 497R: Directed Study||Credits: 1 - 4||− Description||− Sections|