2017-18 Undergraduate Catalog [Archived Catalog]
Mathematics Department
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Claus Schubert, chair
Mary Gfeller, coordinator, adolescence education: mathematics (7-12)
Moffett Center, Room 129
607-753-4326
Fax: 607-753-2971
Email: math@cortland.edu
cortland.edu/math
School of Arts and Sciences
Faculty
Abolghassem Alemzadeh, Christa Carsten, David Dickerson, Mary Gfeller, Philip Gipson, Ter-Jenq Huang, Isa S. Jubran, Katelynn Kochalski, Jolie Roat, Claus Schubert, Myung Soon Song
Adjunct Faculty
For a listing of adjunct faculty see the Faculty and Administration section.
Degrees and Minor
Bachelor of Arts in Mathematics
Bachelor of Science in Mathematics
Bachelor of Arts in Adolescence Education: Mathematics (7-12)
Bachelor of Science in Adolescence Education: Mathematics (7-12)
Bachelor of Science in Adolescence Education: Physics and Mathematics (7-12)
Minor in Mathematics
Description
The Mathematics Department offers programs for students interested in developing quantitative, logical reasoning and problem solving skills in preparation for careers in business, government or industry, or for graduate study in mathematics. Students interested in teaching may choose a concentration leading to initial certification in mathematics or joint certification in physics and mathematics for grades 7-12.
Special Features
- Mathematics Club
- Mathematics Computer Classroom
- Dedicated smartboard-equipped mathematics classroom
- Institutional Memberships in the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM)
- Participation in regional undergraduate mathematics conferences and contests
- Opportunities for Student Teaching in Australia
Requirements
- Degree requirements listed in this catalog apply to the majors offered by this department.
- Liberal Arts Requirements: B.A. – 90 credit hours; B.S. – 60 credit hours
- Students transferring to SUNY Cortland from other colleges intending to major in mathematics should have completed at least 12 credit hours of calculus and six credit hours of additional mathematics at the calculus level or above by the beginning of their junior year.
Major
Minor
AED 391 - Introduction to Adolescence Education (MAT) Students will develop a coherent and comprehensive personal educational philosophy; analyze the role of education and teachers in society; demonstrate an understanding of teacher certification standards and requirements; evaluate teaching, lesson planning and implementation and cooperative skills; and develop a portfolio. The course includes 25 hours of field observation/teaching experience. Fulfills: LASR. (3 cr. hr.)
Frequency code A = offered every semester
AED 392 - 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, and understanding the uses of technology in the classroom.
The course includes 25 hours of field experience. Only open to adolescence education: mathematics (7-12) [AEM] and adolescence education: physics and mathematics (7-12) [APM] majors. Not open to adolescence education: mathematics (7-12) [AEMW] wait-listed majors or adolescence education: physics and mathematics (7-12) [APMW] wait-listed majors. Prerequisites: a grade of C- or better in MAT 224, MAT 237, and AED 391. Fulfills: PRES. (3 cr. hr.)
Frequency code A = offered every semester
AED 399 - Mathematics Practicum For students serving as tutors and providing other assistance in 100-level college mathematics courses or in mathematics classes in grades 7-12. Course may be repeated for a maximum of three credit hours. Prerequisites: AED 391, MAT 224, MAT 237 and permission of department chair. Grading: H, S, U grades are assigned. (1-2 cr. hr.)
Frequency code O = offered occasionally
AED 446 - Student Teaching: Adolescence Mathematics II [APM] Seven weeks of full-time student teaching supervised by college faculty. Prerequisite: AED 392. Grading: S, U grades assigned. (6 cr. hr.)
Frequency code A = offered every semester
AED 492 - 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. Corequisite: SPE 275. Prerequisite: a grade of C- or better in AED 392. (3 cr. hr.)
Frequency code A = offered every semester
AED 493 - Student Teaching: Adolescence Mathematics I Seven weeks of full-time student teaching supervised by college faculty. Prerequisites: AED 492 and MAT 375. Grading: H, S, U grades are assigned. (7 cr. hr.)
Frequency code A = offered every semester
AED 494 - Student Teaching: Adolescence Mathematics II Seven weeks of full-time student teaching supervised by college faculty. Prerequisites: AED 492 and MAT 375. Grading: H, S, U grades are assigned. (7 cr. hr.)
Frequency code A = offered every semester
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.)
Frequency code C = offered at least once every two years
MAT 101 - Concepts of Elementary School Mathematics I Focuses on logical reasoning and problem solving. Topics include sets, numeration systems, number theory, rational numbers, decimals, ratio and proportion. Open only to childhood, early childhood, and dual education majors. Not open to mathematics majors. Fulfills LASR. (3 cr. hr.)
Frequency code A = offered every semester
MAT 102 - Concepts of Elementary School Mathematics II Focuses on logical reasoning and problem solving. Topics include elementary probability, statistics, geometry and measurement. Prerequisite: MAT 101. Fulfills GE 1; LASR. Notes: Open only to childhood, early childhood, and dual education majors. Not open to mathematics majors.(3 cr. hr.)
Frequency code A = offered every semester
MAT 105 - Mathematics in Modern Society The use of basic mathematical concepts from algebra and geometry to analyze problems in modern society. Topics may include voting systems, fair division, interpreting statistics, scheduling, routing, linear programming, population growth, patterns and symmetry. Prerequisite: Two units of Regents high school mathematics. Fulfills GE 1; LASR. Notes: Mathematics majors may take course only as free elective.(3 cr. hr.)
Frequency code B = offered at least once per year
MAT 111 - Algebra for College Students Linear, quadratic and other algebraic equations, proportion and variation, inequalities, linear systems, introduction to functions. Applications are drawn from problems in arithmetic, geometry, data analysis, linear regression and linear programming. Prerequisite: Two units of Regents high school mathematics. Not open to students with credit for any higher-numbered mathematics course. Fulfills GE 1. (3 cr. hr.)
Frequency code A = offered every semester
MAT 115 - Elementary Functions Polynomial and rational functions, exponential and logarithmic functions, trigonometric functions and applications. Prerequisite: MAT 111 or three units of Regents high school mathematics. Fulfills GE 1; LASR. Notes: Not open to students with credit for any calculus course.(3 cr. hr.)
Frequency code F = offered in fall
MAT 121 - Calculus A Functions, graphs and rates of change. Derivatives and applications of derivatives. Mathematical modeling, including exponential growth. Prerequisite: A grade of C- in MAT 115 or four years of high school mathematics. Not open to mathematics majors or students with credit for MAT 135. Fulfills GE 1; LASR. (3 cr. hr.)
Frequency code B = offered at least once per year
MAT 122 - Calculus B Antiderivatives and the definite integral. Techniques of integration. Calculus of several variables. Mathematical modeling and applications. Prerequisite: A grade of C- or better in MAT 121. Not open to mathematics majors or students with credit for MAT 236. Fulfills: LASR. (3 cr. hr.)
Frequency code B = offered at least once per year
MAT 129 - 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.)
Frequency code O = offered occasionally
MAT 135 - Calculus I Limits, continuity, derivatives and applications of derivatives. Trigonometric, exponential and logarithmic functions. Integration, the Fundamental Theorem of Calculus, integration by substitution. Prerequsites: A grade of C- or better in MAT 115 or four years of high school mathematics including trigonometry and/or pre-calculus. Permission of department required for students with credit for MAT 121. Fulfills GE 1; LASR. (4 cr. hr.)
Frequency code A = offered every semester
MAT 201 - Statistical Methods Basic concepts of probability, descriptive and inferential statistics including central tendency, variability, correlation, regression, parametric tests. Also listed as COM 230, PSY 201, ECO 221. Fulfills GE 1; LASR. Notes: Mathematics majors may take course only as free elective.(3 cr. hr.)
Frequency code A = offered every semester
MAT 224 - Mathematical Reasoning and Proof An introduction to formal mathematical reasoning and proof. Topics include methods of set theory, symbolic logic, combinatorics, relations and functions. Prerequisite: A grade of C- or better in MAT 121 or MAT 135. Fulfills LASR. (3 cr. hr.)
Frequency code A = offered every semester
MAT 229 - 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.)
Frequency code O = offered occasionally
MAT 236 - Calculus II Techniques of integration, improper integrals, applications of integration, sequences and series, parametric equations, polar coordinates. Prerequisite: A grade of C- or better in MAT 135. Permission of department required for students with credit for MAT 122. Fulfills: LASR. (4 cr. hr.)
Frequency code A = offered every semester
MAT 237 - Calculus III Vectors in two and three dimensions, dot and cross products, equations of lines and planes, the calculus of vector functions, functions of several variables, partial derivatives, multiple integration and applications. Prerequisite: A grade of C- or better in MAT 236. Fulfills: LASR. (4 cr. hr.)
Frequency code B = offered at least once per year
MAT 272 - Linear Algebra Linear systems, matrix algebra, vector spaces, with emphasis on Euclidean n-spaces, linear transformations, eigenvalues and eigenvectors, orthogonality, and selected applications. Prerequisite: A grade of C- or better in MAT 122 or MAT 236. Fulfills: LASR. (3 cr. hr.)
Frequency code A = offered every semester
MAT 329 - 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 to 4 cr. hr.)
Frequency code O = offered occasionally
MAT 331 - Combinatorics and Graph Theory Basic counting principles, arrangements and selections, distributions, generating functions, recurrence relations, inclusion/exclusion, basic graph theory, Euler cycles and Hamilton circuits, graph coloring. Prerequisite: a grade of C- or better in MAT 224. (3 cr. hr.)
Frequency code C = offered at least once every two years
MAT 350 - Theory of Numbers Elementary number theory; divisibility theory, congruences, residues, Diophantine equations. Prerequisite: A grade of C- or better in MAT 224. Fulfills: LASR. (3 cr. hr.)
Frequency code C = offered at least once every two years
MAT 354 - Numerical Analysis I Techniques and applications of numerical analysis: algorithms, root finding, polynomial approximation and interpolation, differentiation and integration. Prerequisites: A grade of C- or better in MAT 122 or MAT 236 and in MCS 186 or PHY 186. Fulfills: LASR. (3 cr. hr.)
Frequency code O = offered occasionally
MAT 370 - Algebraic Structures I Abstract algebra with an emphasis on group theory. Prerequisites: A grade of C- or better in MAT 224 and MAT 272. Fulfills: LASR. (3 cr. hr.)
Frequency code A = offered every semester
MAT 375 - Geometry I Axiom systems, foundations of Euclidean geometry, non-Euclidean geometry. Prerequisite: A grade of C- or better in MAT 224. Fulfills: LASR. (3 cr. hr.)
Frequency code A = offered every semester
MAT 420 - Intermediate Analysis Foundational theory for the analysis of real-valued functions: real numbers, sequences, series, continuity and limits. Additional topics may include power series, differentiation and integration. Prerequisites: A grade of C- or better in MAT 224 and MAT 237. Fulfills: LASR. (3 cr. hr.)
Frequency code A = offered every semester
MAT 425 - Methods of Applied Mathematics Mathematics needed for the study of the sciences. Topics include vector analysis, matrix operations, functions of a complex variable, Fourier series and integral transforms. Prerequisites: MAT 122 or MAT 236; and PHY 202. Also listed as PHY 425. Fulfills: LASR. (3 cr. hr.)
Frequency code S = offered in spring
MAT 429 - 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.)
Frequency code O = offered occasionally
MAT 430 - Differential Equations Introduction to ordinary differential equations, including first and second order equations, systems of equations, Laplace transforms and applications. Prerequisite: A grade of C- or better in MAT 236. Fulfills: LASR. (3 cr. hr.)
Frequency code S = offered in spring
MAT 446 - Probability and Statistics An introduction to the theory of probability; random variables and probability distributions; mathematical expectations; special probability distributions; topics in statistical inference, including estimation and hypothesis testing. Prerequisite: A grade of C- or better in MAT 237. Fulfills: LASR. (3 cr. hr.)
Frequency code A = offered every semester
MAT 480 - History of Mathematics This course provides an overview of the history of mathematics in various cultures from 3,000 B.C. into the 19th century, focusing on significant ideas that helped shape the discipline. Prerequisites: a grade of C- or above in MAT 224 and either MAT 122 or MAT 236. Fulfills: LASR. (3 cr. hr.)
Frequency code B = offered at least once per year
MAT 495 - Readings in Mathematical Literature Semi-independent study directed by member of mathematics staff. Course may be repeated for a maximum of nine credit hours. Registration by special consent only. (3 cr. hr.)
Frequency code O = offered occasionally
MAT 501 - Fundamental Concepts of Mathematics Logic, sets, relations, functions, number systems and techniques of proof. Prerequisite: Consent of department. (3 cr. hr.)
Frequency code B = offered at least once per year
MAT 502 - Topics in Geometry and Number Theory Applications and extensions of concepts basic to secondary school mathematics. Topics discussed include number theory and a transition from Euclidean to non-Euclidean geometry. Prerequisite: Consent of department. (3 cr. hr.)
Frequency code B = offered at least once per year
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.)
Frequency code O = offered occasionally
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.)
Frequency code O = offered occasionally
MAT 537 - Complex Analysis Introduction to integration, differentiation, series expansion of complex functions. Prerequisite: MAT 501. (3 cr. hr.)
Frequency code O = offered occasionally
MAT 558 - Applications from Mathematical Statistics Theory and applications of estimation, hypothesis testing, ANOVA, regression and correlation, and computing. Prerequisite: An undergraduate course in statistics. (3 cr. hr.)
Frequency code O = offered occasionally
MAT 567 - Topology Introduction to the concepts of point-set topology and those properties which describe and distinguish various topological spaces. Prerequisite: MAT 501 or consent of department. (3 cr. hr.)
Frequency code O = offered occasionally
MCS 186 - Introductory Programming Data types, arithmetic statements, input/output statements, control structures and one-dimensional arrays. Also listed as PHY 186. Fulfills: LASR. (3 cr. hr.)
Frequency code A = offered every semester
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