SUNY Cortland

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Graduate Courses

Mathematics

Adolescence Education

 

Mathematics

MAT 501 - Fundamental Concepts of Mathematics

Logic, sets, mathematical systems, relations and techniques of proof. Prerequisite: Consent of department. (3 cr. hr.)

MAT 502 - Applied Concepts in Adolescence Mathematics

Applications and extensions of concepts basic to secondary school mathematics. Topics discussed include Greek mathematics; Euclidean, hyperbolic and spherical geometries; number theory and fractals. Real world applications of the aforementioned topics will be a major component of the course. Prerequisite: Consent of department. (3 cr. hr.)

MAT 511 - Chaos, Fractals and Dynamics

Applications of advanced calculus to chaotic dynamical systems. Orbit analysis, bifurcations, symbolic dynamics, quadratic systems, Devaney's definition of chaos, Sarkovskii's Theorem, fractals, Julia and Mandelbrot sets. Prerequisite: MAT 501 or consent of department. (3 cr. hr.)

MAT 529 - Special Topics in Mathematics

Selected topics. May be taken more than once as subtitle changes. Prerequisites: Designated by department as appropriate for content and academic level of credit. Fulfills: LASR. (1 to 4 cr. hr.)

MAT 537 - Complex Analysis

Introduction to integration, differentiation, series expansion of complex functions. Prerequisite: MAT 501. (3 cr. hr.)

MAT 558 - Mathematical Statistics

Selected topics in mathematical statistics. Prerequisite: MAT 501. (3 cr. hr.)

MAT 567 - Topology I

Basic concepts; point-set topology, metric spaces, topological spaces, connectedness, compactness. Prerequisite: MAT 501. (3 cr. hr.)

MAT 603 - Real Analysis and Concepts of Calculus

Properties of functions of a real variable that relate to fundamental concepts of differential and integral calculus. Prerequisite: MAT 501. (3 cr. hr.)

MAT 604 - Algebraic Structures II

Advanced study of groups, rings and fields with emphasis on applications which can be used by high school mathematics teachers. Prerequisites: MAT 501 and 502. (3 cr. hr.)

MAT 610 - Statistical Tools

Basic concepts of descriptive, inferential statistics. Not open to mathematics majors; intended for graduate students in other areas. May be applied toward degree only with approval of student's major department. (3 cr. hr.)

MAT 629 - Special Topics in Mathematics

Selected topics. May be taken more than once as subtitle changes. Prerequisites: Designated by department as appropriate for content and academic level of credit. (1-4 cr. hr.)

MAT 680 - Graduate Comprehensive Examination in Mathematics

Preparation for the graduate comprehensive exam. The exam will be administered toward the end of the semester. H, S, U grades are assigned. Prerequisites: MAT 501, MAT 502, MAT 603 and MAT 604. MAT 680 can be taken concurrently with either MAT 603 or MAT 604 but not both. (1 cr. hr)

MAT 697 - Extension of Graduate Culminating Activity

This course is designed to serve as a continuation/extension of the culminating activity (i.e. thesis, comprehensive exam, and project) in the master's program. The student will continue to work toward meeting the necessary criteria for completing the culminating activity under the direction of department faculty and/or graduate advisor. S, U grades assigned. Permission of department. Repeatable. (1 cr. hr.)

 

Adolescence Education

AED 540 - Technologies in the Adolescence Mathematics Classroom

Graphing calculators as teaching tools. The Internet as a source for mathematical software packages to promote active learning. A number of software packages dealing with a variety of mathematical topics, including graphing functions, geometry and calculus will be investigated. (3 cr. hr.)

AED 601 - Methods I: Teaching Adolescence Mathematics

Developing practical materials for use in the mathematics classroom, aligning lesson plans with state and national learning standards, developing strategies for motivating students with diverse needs and learning styles, understanding how and when to use different teaching styles, and understanding the uses of technology in the classroom. The course includes 25 hours of field experiences. Prerequisite: AED 600. (3 cr. hr.)

AED 602 - Methods II: Field Experiences in Adolescence Mathematics

Students complete modules that are structured learning experiences related to teaching mathematics in grades 7-12. The course includes 50 hours of directed field experiences at the junior and senior high school level. Class meetings focus on discussion and assessment of individual field experiences. Prerequisite: AED 601. (3 cr. hr.)

AED 640 - Seminar in Teaching Adolescence Mathematics

Significant curriculum patterns, practices and research in mathematics pedagogy in grades 7-12; opportunities for projects. Open only to students enrolled in the M.S.Ed. program in adolescence mathematics. (3 cr. hr.)

AED 693 - Student Teaching: Adolescence Mathematics I

Seven weeks of full time student teaching supervised by College faculty. Prerequisite: AED 602 and consent of department. H, S, U grades are assigned. (6 cr. hr.)

AED 694 - Student Teaching: Adolescence Mathematics II

Eight weeks of full time student teaching supervised by College faculty. Prerequisite: AED 602 and consent of department. H, S, U grades are assigned. (6 cr. hr.)