CRN |
90167 |
Course No. |
MATH 106 |
Title |
Mathematics and Politics |
Professor |
Mark Halsey |
Schedule |
Wed Fr 11:30 am - 12:50 pm HEG 102 |
Distribution |
E Q Course |
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 |
90680 |
Course No. |
MATH 110 |
Title |
Precalculus Mathematics |
Professor |
Robert Vivona |
Schedule |
Wed Fr 8:30 am - 9:50 am HEG 201 |
Distribution |
E Q Course |
A course for students who intend to take calculus and need to acquire the necessary skills in algebra and trigonometry. The concept of function is stressed, with particular attention given to linear, quadratic, general polynomial, trigonometric, exponential, and logarithmic functions. Graphing in the Cartesian plane and developing the trigonometric functions as circular functions are included. This class makes extensive use of the TI-82 graphing calculator. Prerequisites: eligibility for Q course, satisfactory performance on precalculus entrance exam.
CRN |
90203 |
Course No. |
MATH 111 A |
Title |
Calculus of One Variable |
Professor |
Lauren Rose |
Schedule |
Mon Wed 1:30 pm -3:20 pm HEG 106 |
Distribution |
E/G Q Course |
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: background in precalculus mathematics.
CRN |
90204 |
Course No. |
MATH 111 B |
Title |
Calculus of One Variable |
Professor |
Ethan Bloch |
Schedule |
Tu Th 3:00 pm -4:50 pm HEG 106 |
Distribution |
E/G Q Course |
See description above.
CRN |
90205 |
Course No. |
MATH 114 |
Title |
Multivariable Calculus |
Professor |
Mark Halsey |
Schedule |
Wed Fr 8:30 am - 10:20 am HEG 102 |
Distribution |
E/G Q Course |
This course will start with a review of definite integration and introduce several important techniques of integration. Several applications of the definite integral will be discussed. To begin the study of multivariable calculus we will discuss the basic geometry of vectors in two and three dimensional Euclidean space. From there the topics covered will include: graphs of multivariable functions including contour maps, partial differentiation and the gradient, the chain rule, multiple integration, and change of variables.
Prerequisite: Mathematics 111 or permission of the instructor.
CRN |
90206 |
Course No. |
MATH 131 |
Title |
Exploration in Number Theory |
Professor |
Lauren Rose |
Schedule |
Tu Th 1:30 pm -2:50 pm HEG 106 |
Distribution |
E/G Q Course |
This course will provide an overview of one of the oldest and most beautiful areas of mathematics. It is ideal for any student who wants a taste of mathematics outside of the calculus sequence. Topics may include: number puzzles, prime numbers, congruences, quadratic reciprocity, sums of squares, Diophantine equations, cryptography, coding theory, and continued fractions.
Prerequisite: precalculus or permission of the instructor.
CRN |
90207 |
Course No. |
MATH 222 |
Title |
Introduction to Dynamical Systems |
Professor |
Ranny Bledsoe |
Schedule |
Mon Wed 4:30 pm -5:50 pm HEG 106 |
Distribution |
E/G Q Course |
An introduction to the theory of dynamical systems, with a focus on applications. Topics to be covered include linear and nonlinear systems, stability, chaos, and fractals. We will also use the computer to model simple dynamical systems. Prerequisites: Math 111, Math 114, and Math 211.
CRN |
90208 |
Course No. |
MATH 231 |
Title |
Proofs and Fundamentals |
Professor |
Ethan Bloch |
Schedule |
Tu Th 1:30 pm -2:50 pm HEG 201 |
Distribution |
E Q Course |
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.
Prerequisites: permission of the instructor.
CRN |
90209 |
Course No. |
MATH 332 |
Title |
Abstract Algebra |
Professor |
Mark Halsey |
Schedule |
Tu Th 10:00 am - 11:20 am HEG B10 |
Distribution |
E Q Course |
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 331 or permission of the instructor.
CRN |
90397 |
Course No. |
MATH 451 |
Title |
Advanced Topics in Topology |
Professor |
Ethan Bloch |
Schedule |
Mon Wed 1:30 pm -2:50 pm HEG B10 |
Distribution |
E Q Course |
This course will cover a selection of topics from algebraic, geometric and/or differential topology, depending upon student interest and background. Possible topics include the fundamental group, covering spaces, simplicial homology, classification of compact connected surfaces, topological and smooth manifolds, critical points of smooth maps, vector fields. Prerequisite: Mathematics 351 or permission of the instructor.