https://www.newpaltz.edu/math/programs_grad.html
Contact: (845) 2573532
In conjunction with the Teaching & Learning department, the Mathematics department contributes graduate courses that support the following degree programs:

Master's of Science in Education (MSEd) degree in Adolescence Education: Mathematics. This degree is designed for adolescence education teachers who need a Master's degree for permanent certification.

Master's of Arts in Teaching (MAT) degree in Adolescence Education: Mathematics. This degree is designed for those with a bachelor's degree in mathematics who would like a rapid route to certification as secondary education teachers.

Bachelor's of Science in Mathematics + Master's of Arts in Teaching in Adolescence Education: Mathematics. This program allows Math majors to ability to earn two degrees and a NYS teaching credential within five years.
MAT500. Combinatorics and Graph Theory. 3 Credits.
Combinatorial and graphical techniques for complexity analysis, generating functions, recurrence relations, Polya's Theory of Counting, graph theory, NPcomplete problems.
Restrictions:
 Must have the following level: Graduate
MAT510. Geometry for Elementary and Middle School Teachers. 3 Credits.
This course provides a geometric experience which clarifies, extends, and unifies geometric topics in Euclidean, analytic, transformational, and projective geometries. This course is open only to students doing graduate course work in elementary or middle school education in the School of Education.
Attributes:
 Liberal Arts
Restrictions:
 Must have the following level: Graduate
 Must not be enrolled in the following field(s) of study (major, minor or concentration):
 Adolescence Ed: Mathematics (037A)
 Adolescence Ed: Mathematics (107A)
 Mathematics (206)
MAT511. Theory of Groups. 3 Credits.
First course in algebraic structures. Basic set theory and number theory. Axioms of groups. Homomorphisms, isomorphisms, and quotient groups. For MS in Education degree students only. Not open to undergraduates. Students must complete 21 credits beyond Calculus 2 with a C or better before taking this course.
Attributes:
 Liberal Arts
Restrictions:
 Must have the following level: Graduate
 Must not be enrolled in the following field(s) of study (major, minor or concentration): Mathematics (206)
Prerequisites:
 MAT252 Minimum Grade of D
MAT512. Real and Complex Number Systems. 3 Credits.
Survey and development of number systems from the natural numbers to the complex numbers. Basic theory and properties. Applications to high school mathematics. For MS in Education degree students only. Not open to undergraduates. Students must complete 21 credits beyond Calculus 2 with a C or better before taking this course.
Attributes:
 Liberal Arts
Restrictions:
 Must have the following level: Graduate
 Must not be enrolled in the following field(s) of study (major, minor or concentration): Mathematics (206)
MAT513. The Joys of Geometry. 3 Credits.
Topics in modern geometry such as finite geometries, transformations, nonEuclidean and projective geometries, Mascheroni constructions. Axiomatic approach is often used. Proofs constitute an important part of the course. For MS in Education degree students only. Not open to undergraduates.
Attributes:
 Liberal Arts
Restrictions:
 Must have the following level: Graduate
 Must be enrolled in the following field(s) of study (major, minor or concentration):
 Adolescence Ed: Mathematics (037A)
 Adolescence Ed:Mathematics (037B)
 Math
 Science
 Technology: 16 (013M)
MAT514. Linear Algebra with Applications to Geometry. 3 Credits.
Matrices, linear transformations, and quadratic forms. Solutions of linear systems. Applications to analytic geometry of 2, 3, or n dimensions. For MS in Education degree students only. Not open to undergraduates. Students must complete 21 credits beyond Calculus 2 with a C or better before taking this course.
Attributes:
 Liberal Arts
Restrictions:
 Must have the following level: Graduate
 Must not be enrolled in the following field(s) of study (major, minor or concentration): Mathematics (206)
MAT517. History of Mathematics. 3 Credits.
Topics in mathematics from a historical perspective. The course may be a survey of the history of mathematics or it may concentrate on a few specific topics. In either case, students are required to solve problems and to prove theorems. Recommended for MS in Education degree students. Students must complete 21 credits beyond Calculus 2 with a C or better before taking this course.
Restrictions:
 Must have the following level: Graduate
 Must not be enrolled in the following field(s) of study (major, minor or concentration): Mathematics (206)
MAT518. Theory of Rings and Fields. 3 Credits.
Rings, Fields and their extensions. Introduction to Galois Theory. Solutions of equations by radicals. For MS in Education degree students only. Not open to undergraduates.
Restrictions:
 Must have the following level: Graduate
Prerequisites:
 MAT511 Minimum Grade of C
MAT519. Sequences, Series, and Their Applications. 3 Credits.
Sequences of real and complex numbers. Convergence criteria, series, uniform convergence, definition of functions by series and Taylor's theorem. For MS in Education degree students only. Not open to undergraduates. Students must complete 21 credits beyond Calculus 2 with a C or better before taking this course.
Restrictions:
 Must have the following level: Graduate
 Must not be enrolled in the following field(s) of study (major, minor or concentration): Mathematics (206)
MAT520. Statistics for Elementary/Middle School Teachers. 3 Credits.
Liberal arts course in basic statistical ideas and their application to public policy and education. Emphasis on statistical reasoning and numerical arguments. Focus on drawing conclusions from data taken from diverse settings and contexts.
Restrictions:
 Must have the following level: Graduate
 Must not be enrolled in the following field(s) of study (major, minor or concentration):
 Adolescence Ed: Mathematics (037A)
 Adolescence Ed: Mathematics (107A)
 Mathematics (206)
MAT531. Point Set Topology I. 3 Credits.
Part of a twosemester sequence covering the fundamental theorems of geometric topology in abstract topological and metric spaces.
Attributes:
 Liberal Arts
Restrictions:
 Must have the following level: Graduate
MAT532. Point Set Topology II. 3 Credits.
Part of a twosemester sequence covering the fundamental theorems of geometric topology in abstract topological and metric spaces.
Attributes:
 Liberal Arts
Restrictions:
 Must have the following level: Graduate
MAT541. Complex Analysis I. 3 Credits.
Provides a foundation for advanced work in analysis. Differentiation, CauchyRiemann Equations, elementary functions, conformal mapping, expansions, and analytic continuation.
Attributes:
 Liberal Arts
Restrictions:
 Must have the following level: Graduate
MAT543. Real Analysis I. 3 Credits.
Part of a twosemester sequence covering the following topics: The real number system, topology of Rn, measure theory, and the Lebesque integral. Convergence theorems, differentiation, and Lebesque decompositions. Fubini's theorem, RadonNikodym theorem, and other advanced topics.
Restrictions:
 Must have the following level: Graduate
MAT544. Real Analysis II. 3 Credits.
Part of a twosemester sequence covering the following topics: The real number system, topology of Rn, measure theory, and the Lebesque integral. Convergence theorems, differentiation, and Lebesque decompositions. Fubini's theorem, RadonNikodym theorem, and other advanced topics.
Restrictions:
 Must have the following level: Graduate
Prerequisites:
 MAT543 Minimum Grade of C
MAT561. Abstract Algebra I. 3 Credits.
Part of a twosemester sequence covering the following topics: Groups, rings, integral domains, fields, modules, and vector spaces.
Attributes:
 Liberal Arts
Restrictions:
 Must have the following level: Graduate
MAT562. Abstract Algebra II. 3 Credits.
Part of a twosemester sequence covering the following topics: Groups, rings, integral domains, fields, modules, and vector spaces.
Restrictions:
 Must have the following level: Graduate
Prerequisites:
 MAT561 Minimum Grade of C
MAT563. Topics in Algebra I. 3 Credits.
Topics chosen by the instructor, may include structure theory of Abelian groups, commutative rings and finite fields, lattice theory, universal algebra. Students must complete 21 credits beyond Calculus 2 with a C or better before taking this course.
Restrictions:
 Must have the following level: Graduate
MAT590. Thesis in Mathematics. 112 Credits.
Writing and preparation of an expository or original thesis under the guidance of graduate faculty. Required form available in the Records and Registration Office.
Restrictions:
 Must have the following level: Graduate
MAT593. Math Selected Topic. 112 Credits.
Selected topics courses are regularly scheduled courses that focus on a particular topic of interest. Descriptions are printed in the Schedule of Classes each semester. Selected topics courses may be used as elective credit and may be repeated for credit, provided that the topic of the course changes.
Restrictions:
 Must have the following level: Graduate
MAT594. Fieldwork in Math. 0 Credits.
Restrictions:
 Must have the following level: Graduate
MAT595. Indep Study Math. 13 Credits.
Restrictions:
 Must have the following level: Graduate
MAT599. Comprehensive Exam Workshop. 0 Credits.
Noncredit workshop for students who wish to devote the semester immediately following the completion of their coursework to prepare for the comprehensive exam.
Restrictions:
 Must have the following level: Graduate
 Must be enrolled in the following field(s) of study (major, minor or concentration): Mathematics (206)
MAT795. Indep Study Math. 16 Credits.
Restrictions:
 Must have the following level: Graduate
MAT799. Continued Registration. 1 Credit.
Restrictions:
 Must have the following level: Graduate