**Phone:** (845) 257-3532

**Location:** Faculty Office Building Room E-2

**Web address: **www.newpaltz.edu/math

The Department of Mathematics offers undergraduate majors in Mathematics and Adolescence Education: Mathematics and Mathematics concentrations in the Early Childhood & Childhood Education and Early Childhood Studies programs. Graduates with the Mathematics major go on to do graduate work in mathematics and other fields requiring strong quantitative and reasoning skills. Those graduating from the Adolescence Education program have a depth of knowledge that underlies the courses they will teach. Early Childhood & Childhood Education majors go on to become mathematics specialists within the primary schools. (See Adolescence Education and Early Childhood & Childhood Education for details about these programs.) Minors in Mathematics and Applied Mathematics are also offered.

Those interested in any of these programs are invited to request a faculty advisor in the Department of Mathematics. Upon completion of Calculus I *or* Calculus II with a grade of B- or better, a student may declare the Mathematics or Adolescence Education: Mathematics major; to declare the Mathematics concentrations in Early Childhood & Childhood Education and Early Childhood Studies, students must complete Calculus I *or* Introduction to Proof with a grade of B- or better. A letter grade of at least C- is required to count a course toward any mathematics major or as a prerequisite for another mathematics course.

**Math Placement Levels (MPLs):** All incoming first-year students will receive a Math Placement Level (MPL) based on their ALEKS PPL assessment. All incoming transfer students will receive a Math Placement Level (MPL) as part of the admissions process. The transfer student MPL is determined by previously taken mathematics courses and, if applicable, standardized test scores including New York State Regents exams and SAT/ACT exams. Students will be notified of their MPL at their freshman or transfer orientation session. Math prerequisites are strictly enforced at SUNY New Paltz. Current students can raise their MPL by earning C- or better in specific math courses. See the table below for more detailed information.

**Summary of Math Placement Levels and What They Mean:**

ALEKS % score | Will assign an MPL of: | Math courses you are eligible to take^{1} (those with a prerequisite less than or equal to your MPL) |
---|---|---|

0-45 | 2 | MAT120 College Mathematics - recommended if majoring in the liberal or fine arts MAT121 College Mathematics with Supplemental Algebra Workshop - recommended if majoring in math, science, engineering or business |

46-60 | 3 | MAT152 College Algebra - recommended if going on in math MAT140 Mathematics for Elementary School Teachers I / MAT240 Mathematics for Elementary School Teachers II - for early childhood and childhood education students only MAT142 Paths & Graphs, MAT143 Mathematics in the Modern World, MAT145 Statistics & Public Policy - any of these courses will meet the GE Math requirement |

61-79 | 4 | MAT171 Mathematical Methods for Business - for business majors only MAT181 Precalculus MAT241 Introduction to Statistics |

80-100 | 5 | MAT251 Calculus I MAT260 Introduction to Proof |

^{1} | Always consult your advisor to choose course(s) since many majors have specific requirements for mathematics. Students can raise their MPL by earning C- or better in the math courses listed. |

**MAT053. College Algebra A. 0 Credits.**

Review. Linear and quadratic equations. Inequalities. Factoring, multiplying and dividing algebraic expressions. Coordinate geometry. Together, this course and MAT153 College Algebra B are equivalent to MAT152 College Algebra.

**MAT093. Math Selected Topic. 12 Credits.**

#### Restrictions:

- Must have the following level: Undergraduate

**MAT120. College Mathematics. 3 Credits.**

Topics from basic and intermediate algebra are reviewed. Emphasis is on using algebra to solve real world problems from such areas as geometry, finance, business, and science. The concepts of variable and function and the use of formulas will be stressed. Problems will be presented in various formats; graphically, numerically, and symbolically. NOTE: Not to be taken for credit by students with MPL 4 or more.

#### Attributes:

- Initial College Level Math
- Liberal Arts

#### Restrictions:

- Must have the following level: Undergraduate

**MAT121. College Mathematics with Supplemental Algebra Workshop. 3 Credits.**

Topics from basic and intermediate algebra, with an emphasis on solving real world problems. The concepts of variable and function and the use of formulas will be stressed. This course is similar to MAT120 College Mathematics, but is specifically designed to prepare students to take MAT152 College Algebra. Additional time will be devoted to algebra skills. NOTE: Not to be taken for credit by students with MPL 4 or more.

#### Attributes:

- Liberal Arts

**MAT140. Mathematics for Elementary School Teachers I. 3 Credits.**

First course of a two-semester sequence covering problem solving, numeration, number theory, relations, functions, integers, rational and real numbers, statistics, probability, and the use of the calculator. Open to students seeking New York State certification in Elementary Education.

#### Attributes:

- Liberal Arts
- GE2: MATH
- GE2A: MATH

#### Prerequisites:

**MAT142. Paths and Graphs. 3 Credits.**

Designed for visual learners in Liberal and Fine Arts majors. Problems that arise in scheduling, routing and management will be solved by translating them into problems about graphs and then utilizing techniques of elementary graph theory. Fulfills GE Math; not part of any Math major.

#### Attributes:

- Liberal Arts
- GE2: MATH
- GE3: MATH
- GE4: Mathematics
- GE2A: MATH
- Systematic Inquiry

#### Prerequisites:

**MAT143. Mathematics in the Modern World. 3 Credits.**

Designed for non-science majors. Basic mathematical concepts are applied to analyze real world problems in a broad range of fields. Topics may include voting systems, fair division, interpreting statistics, scheduling, routing, linear programming, coding, game theory, patterns and symmetry. Fulfills GE Math; not part of any Math major.

#### Attributes:

- Liberal Arts
- GE2: MATH
- GE3: MATH
- GE4: Mathematics
- GE2A: MATH
- Systematic Inquiry

#### Restrictions:

- Must have the following level: Undergraduate

#### Prerequisites:

**MAT145. Statistics and Public Policy. 3 Credits.**

Fundamental concepts of statistics with an applied approach designed to create savvy "statistical consumers", able to understand, evaluate, and analyze quantitative evidence presented in the media on issues relevant to citizens in our society today. Intended for General Education; not part of any Math major.

#### Attributes:

- Information Literacy
- Liberal Arts
- GE3: MATH
- GE4: Mathematics
- GE2A: MATH
- Systematic Inquiry

#### Restrictions:

- Must not be enrolled in the following field(s) of study (major, minor or concentration): Comm Disorders Cert Program (089)

#### Prerequisites:

**MAT152. College Algebra. 3 Credits.**

Factoring, multiplying and dividing algebraic expressions, coordinate geometry, functions and functional notation, polynomials, exponents, logarithms, and inequalities. Primarily preparation for more advanced courses, but also open to students desiring a background in college algebra. NOTE: Not to be taken for credit by students with MPL 4 or more.

#### Attributes:

- Liberal Arts
- GE2: MATH
- GE3: MATH
- GE4: Mathematics
- GE2A: MATH
- Systematic Inquiry

#### Prerequisites:

**MAT153. College Algebra B. 3 Credits.**

Function notation, domain and range, graphing basic functions, transformations, inverse functions. Systems of linear and nonlinear equations. Together, MAT053 College Algebra A and this course are equivalent to MAT152 College Algebra.

#### Attributes:

- Liberal Arts
- GE3: MATH
- GE4: Mathematics
- Systematic Inquiry

#### Restrictions:

- Must have the following level: Undergraduate

#### Prerequisites:

- MAT053 Minimum Grade of C-

**MAT171. Mathematical Methods for Business. 3 Credits.**

Linear equations and inequalities, functions and graphs, the exponential and logarithmic functions, the mathematics of finance, graphs and rates of change, tabular and graphical analysis, systems of linear equations and matrices. NOTE: Not to be taken for credit by students intending to take MAT251 (Calculus I).

#### Attributes:

- Liberal Arts
- GE3: MATH
- GE4: Mathematics
- Systematic Inquiry

#### Restrictions:

- Must have the following level: Undergraduate
- Must be enrolled in the following field(s) of study (major, minor or concentration):
- Accounting (542)
- Business (BUS)
- Business Analytics (531)
- Finance (543)
- General Business (547)
- International Business (546)
- Management (544)
- Marketing (545)
- Undeclared:Business (000B)
- Undeclared:Pre-Accounting (00AC)
- Undeclared:Pre-Bus Analytics (00BN)
- Undeclared:Pre-Finance (00FI)
- Undeclared:Pre-Gen Business (00GB)
- Undeclared:Pre-Interntnl Bus (00IB)
- Undeclared:Pre-Management (00MG)
- Undeclared:Pre-Marketing (00MK)

#### Prerequisites:

**MAT181. Precalculus. 4 Credits.**

Topics needed for calculus: brief review of algebra; polynomial, exponential, logarithmic and trigonometric functions; trigonometry; binomial theorem; remainder and factor theorems; introduction to complex numbers; solving exponential equations, logarithmic equations and trigonometric equations.

#### Attributes:

- Liberal Arts
- GE2: MATH
- GE3: MATH
- GE4: Mathematics
- GE2A: MATH
- Systematic Inquiry

#### Prerequisites:

**MAT184. Elements of Geometry. 3 Credits.**

Topics chosen from history of geometry, axioms for Euclidean geometry and geometric proof, practical applications of geometry, solid geometry, polygons and tessellations of the plane. Intended for General Education; not part of any Math major.

#### Attributes:

- Liberal Arts
- GE2: MATH
- GE3: MATH
- GE4: Mathematics
- GE2A: MATH
- Systematic Inquiry

#### Prerequisites:

**MAT186. Infinity. 3 Credits.**

An elementary introduction to mathematical infinity and its uses. Notation for infinite sets and sequences. Difference equations. Method of exhaustion. Cardinals, ordinals, and equipotence. Independence of the Continuum Hypothesis. Intended for General Education; not part of any Math major.

#### Attributes:

- Liberal Arts
- GE3: MATH
- GE4: Mathematics
- Systematic Inquiry

#### Prerequisites:

**MAT193. Math Selected Topic. 3-12 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.

**MAT240. Mathematics for Elementary School Teachers II. 3 Credits.**

Second course of a two-semester sequence covering problem solving, logic, analysis of geometric shapes and solids, measurement, congruence, similarity, constructions, coordinate geometry, transformations, programming in LOGO, and the use of the calculator. Open only to students seeking New York State certification in Elementary Education.

#### Attributes:

- Liberal Arts
- GE2: MATH
- GE3: MATH
- GE4: Mathematics
- GE2A: MATH
- Systematic Inquiry

#### Prerequisites:

**MAT241. Introduction to Statistics. 3 Credits.**

Descriptive statistics, measure of central tendency and dispersion, population parameters and sample statistics, use of probability distributions for statistical inference, binomial and normal distributions, introduction to hypothesis testing. Designed for non-mathematics majors. Not open to students who have taken MAT381 or MAT382.

#### Attributes:

- Liberal Arts
- GE2: MATH
- GE3: MATH
- GE4: Mathematics
- GE2A: MATH
- Systematic Inquiry

#### Restrictions:

- Must not be enrolled in the following field(s) of study (major, minor or concentration): Comm Disorders Cert Program (089)

#### Prerequisites:

**MAT251. Calculus I. 4 Credits.**

Single-variable calculus: limits, continuity, derivatives, extrema and other applications, mean value theorem, integrals, fundamental theorem of calculus.

#### Attributes:

- Liberal Arts
- GE3: MATH
- GE4: Mathematics

#### Prerequisites:

- Math Placement Level Minimum Score of 5 or MAT181 Minimum Grade of C-

**MAT252. Calculus II. 4 Credits.**

A continuation of Calculus I. Techniques of integration, applications of the integral, infinite sequences and series, parametric equations, polar coordinates, separable differential equations.

#### Attributes:

- Liberal Arts

#### Prerequisites:

- Math Placement Level Minimum Score of 6 or MAT251 Minimum Grade of C-

**MAT260. Introduction to Proof. 3 Credits.**

Focus on basic principles of logic, set theory, functions, and the development of mathematical reasoning. Introduction to basic techniques in writing proofs.

#### Attributes:

- Critical Thinking Introductory
- Liberal Arts

#### Prerequisites:

- Math Placement Level Minimum Score of 6 or MAT251 Minimum Grade of C-

**MAT293. Math Selected Topic. 3-12 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.

**MAT295. Indep Study Math. 12 Credits.**

**MAT303. Foundations of Analysis. 3 Credits.**

Order, algebraic and completeness axioms of the numbers, topology of the real line, lubs and glbs, limit points, Heine-Borel Theorem, sequences and convergence.

#### Attributes:

- Critical Thinking Intermediate
- Information Mgmt Intrmd
- Liberal Arts

**MAT304. Foundations of Algebra. 3 Credits.**

Equivalence relations, elementary number theory, mathematical induction and recursion; the group of integers modulo-n and other concrete groups.

#### Attributes:

- Liberal Arts

#### Restrictions:

- Must have the following level: Undergraduate

**MAT310. Number Theory. 3 Credits.**

Introductory study of integers. Axiomatic approach to order and divisibility property, prime distributions, modular arithmetics, perfect numbers and other topics.

#### Attributes:

- Liberal Arts
- Writing Intensive

#### Restrictions:

- Must not be enrolled in the following class: Freshman

#### Prerequisites:

- MAT304 Minimum Grade of C-

**MAT320. Discrete Mathematics for Computing. 3 Credits.**

This course is designed to provide Computer Science and Computer Engineering majors with a working knowledge of discrete mathematics topics they will need in future courses and in later work. Does not count towards the Mathematics major.

#### Attributes:

- Liberal Arts

#### Restrictions:

- Must not be enrolled in the following field(s) of study (major, minor or concentration): Mathematics (512)

#### Prerequisites:

**MAT331. Axiomatic Geometry. 3 Credits.**

Axiomatic development of geometry from a modern standpoint. Topics chosen from incidence, betweenness, congruence, similarity, transformations, constructions; measure of areas, angles and circles.

#### Attributes:

- Liberal Arts
- Writing Intensive

**MAT332. Modern Geometry. 3 Credits.**

Euclidean and non-Euclidean geometries. Consistency proofs and Euclidean constructions.

#### Attributes:

- Liberal Arts

#### Restrictions:

- Must not be enrolled in the following class: Freshman

#### Prerequisites:

- MAT331 Minimum Grade of C-

**MAT341. Applied Mathematics I. 3 Credits.**

The first of two-semester sequence for mathematicians, scientists and engineers. Topics include partial derivatives, ordinary differential equations, infinite series, and matrix algebra. Credit will not be given for both MAT341 and MAT359.

#### Attributes:

- Liberal Arts

#### Restrictions:

- Must not be enrolled in the following class: Freshman
- Must not be enrolled in the following field(s) of study (major, minor or concentration): Mathematics (512)

#### Prerequisites:

- MAT252 Minimum Grade of C-

**MAT342. Applied Mathematics II. 3 Credits.**

The second of a two-semester sequence in advanced mathematics for scientists and engineers. Topics include Fourier series and transforms, partial differential equations and special functions of mathematical physics. Counts as an upper-division elective in the Mathematics major.

#### Attributes:

- Liberal Arts

#### Restrictions:

- Must not be enrolled in the following class: Freshman

#### Prerequisites:

**MAT353. Calculus III. 4 Credits.**

Analytic geometry in 3 dimensions, vector-valued functions, multivariate functions, partial derivatives, multiple integrals, applications, line integrals, Green's theorem, divergence, curl.

#### Attributes:

- Liberal Arts

#### Restrictions:

- Must not be enrolled in the following class: Freshman

#### Prerequisites:

- MAT252 Minimum Grade of C-

**MAT354. Calculus IV. 3 Credits.**

Fourth semester covering differential and integral calculus. Emphasizes line and surface integral theorems, sequences, and series.

#### Attributes:

- Liberal Arts

#### Prerequisites:

- MAT353 Minimum Grade of C-

**MAT359. Ordinary Differential Equations. 3 Credits.**

Methods of solution of homogeneous and non-homogeneous linear differential equations. Power series and Laplace transform methods. Non-linear equations of order one. Applications. Credit will not be given for both MAT341 and MAT359.

#### Attributes:

- Liberal Arts

#### Prerequisites:

- MAT252 Minimum Grade of C-

**MAT362. Linear Algebra. 3 Credits.**

Systems of linear equations, matrices, determinants, eigenvalues, eigenvectors, finite dimensional vector spaces and linear transformations.

#### Attributes:

- Liberal Arts

#### Prerequisites:

- MAT252 Minimum Grade of C-

**MAT363. Combinatorics. 3 Credits.**

Counting arguments in different settings and their relation to probability. Functions, relations and, in particular, graphs and trees.

#### Attributes:

- Liberal Arts

#### Prerequisites:

- MAT260 Minimum Grade of C-

**MAT366. Nonlinear Dynamics. 3 Credits.**

A study where the change of the output is not proportional to the change of the input. In the real world, systems are typically nonlinear.

#### Attributes:

- Liberal Arts

#### Restrictions:

- Must have the following level: Undergraduate
- Must not be enrolled in the following class: Freshman

**MAT375. Numerical Methods. 3 Credits.**

Computer solution of mathematical problems; round-off errors and computer arithmetic, solution of equations, interpolation and approximation, numerical differentiation and integration, direct and iterative techniques in matrix algebra.

#### Attributes:

- Liberal Arts

#### Restrictions:

- Must not be enrolled in the following class: Freshman

**MAT380. Applied Probability and Statistics. 3 Credits.**

This course will provide students with an understanding of the principles of engineering data analysis using basic probability theorems and statistical methods with emphasis on their application to real-world data processing problems.

#### Attributes:

- Liberal Arts

#### Restrictions:

- Must have the following level: Undergraduate
- Must be enrolled in the following field(s) of study (major, minor or concentration):
- Computer Engineering (518)
- Electrical Engineering (517)
- Mechanical Engineering (521)

#### Prerequisites:

- MAT252 Minimum Grade of C-

**MAT381. Probability and Statistics I. 3 Credits.**

Introduction to probability theory and statistics. Random variables; distribution functions; expected value and moments; sampling; point estimation; interval estimation; hypothesis testing.

#### Attributes:

- Liberal Arts

#### Prerequisites:

- MAT252 Minimum Grade of C-

**MAT382. Probability and Statistics II. 3 Credits.**

Introduction to probability theory and statistics. Random variables; distribution functions; expected value and moments; sampling; point estimation; interval estimation; hypothesis testing.

#### Attributes:

- Liberal Arts

#### Restrictions:

- Must not be enrolled in the following class: Freshman

**MAT393. Math Selected Topic. 3-12 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 not be enrolled in the following class: Freshman

**MAT399. Modular Course. 0 Credits.**

#### Restrictions:

- Must not be enrolled in the following class: Freshman

**MAT431. Real Analysis I. 3 Credits.**

Theoretical foundations of elementary calculus: continuity, derivatives, integrals, classical theorems of calculus such as the Mean Value theorem and the Fundamental Theorem of calculus.

#### Attributes:

- Liberal Arts

#### Restrictions:

- Must not be enrolled in the following class: Freshman

**MAT432. Real Analysis II. 3 Credits.**

Series of real numbers; sequences and series of functions; uniform convergence; power series; Taylor Series, additional topics as chosen by the instructor.

#### Attributes:

- Liberal Arts

#### Restrictions:

- Must not be enrolled in the following class: Freshman

#### Prerequisites:

- MAT 321 Minimum Grade of C- or MAT431 Minimum Grade of C-

**MAT441. Abstract Algebra I. 3 Credits.**

Group theory from axioms;subgroups, cyclic groups, number theoretic properties of finite groups, quotient groups, isomorphisms and homomorphisms.

#### Attributes:

- Critical Thinking Advanced
- Information Mgmt Advanced
- Liberal Arts

#### Restrictions:

- Must not be enrolled in the following class: Freshman

**MAT442. Abstract Algebra II. 3 Credits.**

Elementary theory of groups and rings, integral domains and fields.

#### Attributes:

- Liberal Arts

#### Restrictions:

- Must not be enrolled in the following class: Freshman

#### Prerequisites:

- MAT441 Minimum Grade of C- or MAT 364 Minimum Grade of C-

**MAT483. Actuarial Mathematics. 3 Credits.**

Theories and models of risk, and their applications. Topics may include: annuities, insurance, benefit reserves, multiple life functions, multiple decrement models, and collective risk models.

#### Attributes:

- Liberal Arts

#### Restrictions:

- Must not be enrolled in the following class: Freshman

#### Prerequisites:

- MAT381 Minimum Grade of C-

**MAT488. Partial Differential Equations. 3 Credits.**

Classification of linear second order partial differential equations (PDE), diffusion-type problems, Fourier sine and cosine transforms. Laplace transform solutions, method of characteristics, elliptic-type problems, Green's functions, numerical and approximate methods.

#### Attributes:

- Liberal Arts

#### Restrictions:

- Must not be enrolled in the following class: Freshman

#### Prerequisites:

- MAT359 Minimum Grade of C-

**MAT490. Research in Mathematics. 1-12 Credits.**

Individual research in Mathematics under faculty supervision. Interested students should contact the department or approach a particular professor.

#### Restrictions:

- Must have the following level: Undergraduate
- Must not be enrolled in the following class: Freshman

**MAT493. Math Selected Topic. 1-12 Credits.**

#### Restrictions:

- Must not be enrolled in the following class: Freshman

**MAT494. Fieldwork in Mathematics. 1-12 Credits.**

Individual research in Mathematics under faculty supervision. Interested students should contact the department or approach a particular professor.

#### Restrictions:

- Must not be enrolled in the following class: Freshman

**MAT495. Indep Study Math. 1-12 Credits.**

#### Attributes:

- Liberal Arts

#### Restrictions:

- Must not be enrolled in the following class: Freshman

**Berkley, Ann**

Lecturer

Office: FOB E7

Phone: (845) 257-3562

E-mail: berkleya@newpaltz.edu

**Brattain, Eric**

Assistant Professor

Ph.D., University of California, Davis

Office: FOB S5

Phone: (845) 257-3557

E-mail: brattaie@newpaltz.edu

**Cohen, Moshe**

Assistant Professor

Ph.D., Louisiana State University

Office: FOB S11

Phone: (845) 257-3525

E-mail: cohenm@newpaltz.edu

**Dominici, Diego**

Associate Professor

Ph.D., University of Illinois, Chicago

Office: FOB N8

Phone: (845) 257-2607

E-mail: dominicd@newpaltz.edu

**Hayes, Stanley**

Associate Professor

Ph.D., University of Texas

Office: FOB S1

Phone: (845) 257-3533

E-mail: hayess@newpaltz.edu

**Hobby, David**

Associate Professor and Chair

Ph.D., University of California, Berkeley

Office: FOB E1

Phone: (845) 257-3563

E-mail: hobbyd@newpaltz.edu

**Huang, Jason**

Assistant Professor

Ph.D., University of California, Davis

Office: OM 321B

Phone: (845) 257-2818

E-mail: huangj18@newpaltz.edu

**Jun, Jaiung**

Assistant Professor

Ph.D., Johns Hopkins University

Office: FOB S6

Phone: (845) 257-3526

E-mail: junj@newpaltz.edu

**Koehne, Christina**

Assistant Professor

Ph.D., Texas State University

Office: FOB S8

Phone: (845) 257-3513

E-mail: koehnec@newpaltz.edu

**Lilley, Rachel**

Lecturer

Office: FOB E4

Phone: (845) 257-3444

E-mail: lilleyr@newpaltz.edu

**Park, Hyunchul**

Assistant Professor

Ph.D., University of Illinois at Urbana-Champaign

Office: FOB S3

Phone: (845) 257-3530

E-mail: parkh@newpaltz.edu

**Radulescu, Anca**

Associate Professor

Ph.D., Stony Brook University

Office: FOB S7

Phone: (845) 257-3491

E-mail: radulesa@newpaltz.edu

**Van Pelt, Amy**

Lecturer

Office: FOB E6

Phone: (845) 257-3531

E-mail: vanpelta@newpaltz.edu

**Winden, Sarah**

Lecturer

Office: FOB E8

Phone: (845) 257-3524

E-mail: windens@newpaltz.edu