MATHEMATICS
CRN |
13488 |
Distribution |
E |
Course No. |
MATH 106 Q course |
Title |
Mathematics and Politics |
Professor |
Mark Halsey |
Schedule |
Tu Th 1:30 pm -2:50 pm HEG 106 |
This course considers applications of mathematics to political science. Five major topics will be covered: a model of escalatory behavior, game-theoretic models of international conflict, yes-no voting systems, political power, and social choice. For each model presented, the implications of the model as well as the limitations of the model will be discussed. Students will be actively involved in the modeling process. There is no particular mathematical prerequisite for this course though we will do some algebraic computations from time to time and discuss deductive proofs of some of the main results. Prerequisite: eligibility for Q courses.
CRN |
13101 |
Distribution |
E/G |
Course No. |
MATH 111 Q course |
Title |
Calculus I |
Professor |
Jeff Suzuki |
Schedule |
Mon Wed Fr 1:30 pm -2:50 pm ALBEE 106 |
An introduction to the basic ideas of differentiation and integration in one variable. Topics include limits, techniques of differentiation, definite integrals, the fundamental theorem of calculus, and applications.
Prerequisite: Mathematics 110 or equivalent.
CRN |
13102 |
Distribution |
E/G |
Course No. |
MATH 112 Q course |
Title |
Calculus II |
Professor |
Ethan Bloch |
Schedule |
Tu Th 3:00 pm -4:50 pm ALBEE 106 |
This course, a continuation of Calculus I, reinforces the fundamental ideas of the derivative and the definite integral. Topics covered include L'Hopital's rule, integration techniques, improper integrals, volumes, arc length, sequences and series, power series, continuous random variables, and separable differential equations.
Prerequisites: Mathematics 111 or the equivalent.
CRN |
13104 |
Distribution |
E |
Course No. |
MATH 212 Q course |
Title |
Vector Calculus |
Professor |
Matthew Deady |
Schedule |
Mon Wed Fr 8:30 am -9:50 am HEG 106 |
This course investigates differentiation and integration of multivariable functions. Topics covered include vectors, coordinate systems, vector valued functions, partial derivatives, gradients, Lagrange multipliers, multiple integrals, change of variables, line integrals, Green's theorem, and Stoke's theorem.
Prerequisite: Mathematics 111 and 112 or the equivalent.
CRN |
13105 |
Distribution |
E |
Course No. |
MATH 242 Q course |
Title |
Elementary Linear Algebra |
Professor |
Karen Ricciardi |
Schedule |
Tu Th 10:00 am - 11:20 am ALBEE 106 |
This course will cover the basics of linear algebra in n-dimensional Euclidean space, including vectors, matrices, systems of linear equations, determinants, eigenvalues and eigenvectors, as well as applications of these concepts to the natural, physical and social sciences. Equal time will be given to computational, applied, and theoretical aspects of the course material. Prerequisite: Math 111 or permission of the instructor.
CRN |
13396 |
Distribution |
E |
Course No. |
MATH 261 Q course |
Title |
Proofs and Fundamentals |
Professor |
Ethan Bloch |
Schedule |
Mon Wed 1:30 pm -2:50 pm HEG 106 |
This course introduces students to the methodology of mathematical proof. The logic of compound and quantified statements, mathematical induction, and basic set theory including functions and cardinality are covered. Topics from foundational mathematics are developed to provide students with an opportunity to apply proof techniques.
Prerequisite: Mathematics 111 and 112, or permission of instructor.
CRN |
13107 |
Distribution |
E |
Course No. |
MATH 332 Q course |
Title |
Abstract Algebra |
Professor |
Lauren Rose |
Schedule |
Tu Th 1:30 pm -2:50 pm ALBEE 106 |
An introduction to modern abstract algebraic systems. The structures of groups, rings, and fields are studied together with the homomorphisms of these objects. Topics include equivalence relations, finite groups, group actions, integral domains, polynomial rings, and finite fields.
Prerequisite: Mathematics 261 or permission of the instructor.
CRN |
13353 |
Distribution |
E |
Course No. |
MATH 342 Q course |
Title |
Partial Differential Equations |
Professor |
Karen Ricciardi |
Schedule |
Mon Wed 3:00 pm -4:20 pm ALBEE 106 |
Partial differential equations are often used to describe natural phenomena affected by more than one variable such as water flow through an aquifer, the convection of heat at the earth's surface and the wave mechanics that create sound. This class covers the classification of partial differential equations and introduces the student to methods used to solve linear equations, first order equations, second order elliptic, parabolic, and hyperbolic equations. The student is also introduced to the importance of uniqueness and existence of solutions to partial differential equations.
Prerequisites: Math 211, and either Math 114 or Math 212.
CRN |
13109 |
Distribution |
E |
Course No. |
MATH 405 Q course |
Title |
Mathematical Logic |
Professor |
Robert McGrail |
Schedule |
Mon Fr 1:30 pm -2:50 pm OLIN 303 |
An introduction to mathematical logic. Topics include first-order logic, completeness and compactness theorems, model theory, nonstandard analysis, decidability and undecidability, incompleteness, and Turing machines.
Prerequisites: Mathematics 332 or permission of instructor.