Math Department (Descriptions)

# Non-Calculus Alternatives for 2012-2013:

Choose a course based on your interests. Keep in mind that the General Education Mathematics Requirement need not be satisfied in the freshman year.

 If your interests include: then consider taking: cryptology Math 51 - Cryptology: The Mathematics of Secrecy (not offered 2012-13). The course will focus on the mathematical aspects of public-key cryptography, the modern science of creating secret ciphers (codes), which is largely based on number theory. Additional topics will be taken from cryptanalysis (the science of breaking secret ciphers) and from contributions that mathematics can make to data security and privacy. 4-dimensional geometry Math 53 - Visualizing the Fourth Dimension (Fall). This course investigates the idea of higher dimensions and some of the ways of understanding them. The classic novel, Flatland, will serve as the starting point, and through discussions, writing, projects and interactive computer graphics, we will extrapolate ideas from two and three dimensions to their analogues in four dimensions and higher. numbers Math 54 - Number Theory: From Clock Arithmetic to Unbreakable Codes (Fall, Spring). An introduction to the beauty and use of numbers. Topics will be chosen from: divisibility tests, prime numbers, perfect numbers, unbreakable computer codes, Fermat's theorem, the golden section, calendars, magic squares, quadratic reciprocity, and others. history of mathematics Math 55 - Ancient Greek Mathematics (not offered 2012-13). Ancient Greek mathematicians invented the notion of abstraction (in mathematics and other fields), absolute precision, and proof. The approach to mathematics that we take today can be traced back to these Greek mathematicians. After examining some pre-Greek mathematical traditions, we study Greek mathematics, beginning with Thales and Pythagoras. Topics include the intellectual crisis caused by the discovery that not all magnitudes are commensurable; Plato and his academy; Euclid and his Elements; the three special construction problems (trisecting an angle, squaring a circle, doubling a cube); and the greatest of the Greek mathematicians, Archimedes. history of mathematics Math 56 - History of Mathematics (Spring). Traces the development of mathematical ideas and methods in literate cultures from ancient Egypt and Mesopotamia, to Hellenistic Greece and medieval China, India and the Islamic world, up through the dawn of calculus at the start of the Scientific Revolution in early modern Europe. philosophy, literature,linguistics, the humanities,psychology Math 57 - Game Theory and its Applications in the Humanities and Social Sciences (not offered 2012-13). Completely self-contained introduction to the mathematical theory of conflict, including parlor games, auctions, games from the Bible and games commenting on the existence of superior beings, game-theoretic analyses in literature, philosophical questions and paradoxes arising from game theory, and game theoretic models of international conflict. economics, managementor a course that will helpprepare you for calculus Math 58 - Applications of Mathematics to Economics and Management I (not offered 2012-13). Directed graphs and Gauss-Jordan elimination. Matrices and linear programming with applications of linear algebra to the social sciences. Not open to students who have passed a college calculus course. Math 59 - Applications of Mathematics to Economics and Management II (not offered 2012-13). Differential and integral calculus with applications in the social sciences. Not open to students who have passed a college calculus course; students who wish to continue the calculus should enroll in Math 112. Prerequisite: Math 58. political science Math 60 - Topics in Mathematical Political Science (Winter). (Same as Political Science 123) A mathematical treatment (not involving calculus or statistics) of political power, social choice, and international conflict. No previous study of political science is necessary, but PS 111 or 112 would be relevant. public policy Math 61 - Math in the Public Interest (not offered 2012-13). Explores key mathematical topics including statistics, probability, exponential and logarithmic functions, and visual/graphical representation of numbers, in the context of contemporary public policy issues such as the 2008 financial crisis, gaming institutions, population demographics, and climate change. public policy Math 64 - Statistical Thinking (Fall). Seeks to provide the conceptual foundation and analytical skills required to understand a complex, data-rich and uncertain (stochastic) world from a stochastic versus deterministic perpective, and to navigate through the daily bombardment of data from all sides.

 Math Department web pages Created: 19 Oct 1999 Last modified: Apr 18, 2012 10:08:08 AM Comments to: `math@union.edu`