400

This course develops the theories of probability and statistics from a theoretical standpoint. Topics include: mutually exclusive events, independent and dependent events, conditional probability, combinatorics, discrete and continuous random variables, sampling methods, confidence intervals, hypothesis testing, and analysis of variance. This course applies toward the mathematics concentration. Counts in the Quantitative Reasoning Area of General Education requirements. Prerequisite(s): LAM 308 recommended and LAM 311 required. 5 quarter hours

This course provides an advanced study of Euclidean geometry with an emphasis on formal proofs. Major concepts of Euclidean geometry and selected non-Euclidean geometries are examined. Theorems of the reals, incidence, congruence, distance, and triangles are proved using a variety of methods. Various interpretations of geometry through number and transformations of the plane are explored. This course applies toward the math major, minor, and concentration. Prerequisites: LAM 307 recommended and LAM 311 required or departmental consent. 5 quarter hours

This course provides a study of the historical development of algebraic and geometric principles from the earliest civilizations. The mathematical emphasis will be on important theorems and emerging conceptual developments in algebra and geometry. A problem- solving approach will be used to focus on the mathematics of each historical development. Students will research the biographies and mathematical contributions of significant mathematicians in the development of algebra and geometry, analyze the contributions within historical, cultural, scientific and political contexts, and trace the solution of mathematical problems historically. Prerequisite(s): One upper level math course, one math for teachers course, or departmental consent. 5 quarter hours or 3 semester hours

This course provides a study of the historical development of elementary counting techniques, permutations, combinations, probability and statistics from the earliest evidence to the present. The mathematical emphasis will be on important theorems and emerging conceptual developments in probability and statistics. A problem-solving approach will be used to focus on the mathematics supporting each historic development. Students will research the biographies and mathematical contributions of significant mathematicians. Students will analyze mathematical developments within historical, cultural, and political contexts and trace the solution of mathematical problems historically. Prerequisite(s): One upper level math course, one math for teachers course, or departmental consent. 5 quarter hours or 3 semester hours

Students conduct in-depth examinations of a topic in mathematics culminating in an interpretive report. Prerequisites: LAM 220, consent of instructor. 2-5 quarter hours for Undergraduate Students

A particular aspect of mathematics is selected to be studied in depth. Since the topic varies each term, the course may be taken more than once. Prerequisites: Varies with the topic, at least LAM110, consent of instructor. 2-5 quarter hours