### MAT Courses

#### MAT101 - Elementary College Mathematics (3 cr.)

Designed to strengthen student's background in elementary algebra and to prepare them for further work in mathematics. Topics include a review of arithmetic concepts using elementary algebra, algebraic expressions, linear and quadratic equations, inequalities, absolute value, systems of equations, and functions (linear, quadratic, exponential, logarithmic). Students will not receive credit for MAT101 if they received credit for a precalculus or calculus course. (Fall/Spring/Summer).

#### MAT102 - Precalculus (0 to 3 cr.)

Algebra and an introduction to functions and their graphs. Intended for students needing to prepare for calculus. Real and complex number systems, the elementary functions (linear, quadratic, polynomial, exponential, logarithmic) equations and inequalities, the algebra of functions and the graphs of functions. Students will not receive credit for MAT102 if they received credit for a calculus course. (Fall/Spring). Liberal arts. Corequisite: May be taken concurrently with MAT104. Prerequisite: MAT101 or the equivalent.

#### MAT104 - Trigonometry (1 cr.)

Introduction to trigonometry intended for students needing to prepare for calculus. Topics include right triangle trigonometry, radian measure of angles, the wrapping function and circular development of trigonometric functions, graphs of trigonometric functions, basic identities and fundamental properties of the trigonometric functions, solutions to trigonometric equations, and inverse trigonometric functions. (Fall/Spring). Liberal arts. Corequisite: May be taken concurrently with MAT102, MAT221, MAT222 or MAT224. Prerequisite: MAT101 or equivalent (Mathematics Competency Requirement).

#### MAT110 - Modern Mathematics for Elementary School Teachers I (3 cr.)

A two-semester sequence for elementary education majors with a mathematics concentration, designed to provide an understanding of the mathematical ideas presented in elementary school. Coursework will focus on topics from the five NCTM and NYS content strands: Number sense and operations, Algebra, Geometry, Measurement, and Statistics and Probability. Additional emphasis will be given to the NCTM and NYS process strands. (Fall). Liberal arts. Prerequisite: mathematics competency requirement.

#### MAT111 - Modern Mathematics for Elementary School Teachers II (3 cr.)

A two-semester sequence for elementary education majors with a mathematics concentration, designed to provide an understanding of the mathematical ideas presented in elementary school. Coursework will focus on topics from the five NCTM and NYS content strands: Number sense and operations, Algebra, Geometry, Measurement, and Statistics and Probability. Additional emphasis will be given to the NCTM and NYS process strands. (Spring). Liberal arts. Prerequisite: MAT110.

#### MAT113 - Fundamental Mathematics for Elementary School Teachers (3 cr.)

A one-semester course for non-mathematics concentration childhood education majors designed to provide an understanding of the mathematical ideas presented in elementary school. Coursework will focus on topics from the five NCTM and NYS content strands: number sense and operations, algebra, geometry, measurement, and probability and statistics. Additional emphasis will be given to the NCTM and NYS process strands. (Fall/Spring). Prerequisite: fulfillment of the mathematics competency requirement; for non-mathematic childhood education majors.

#### MAT131 - Quantitative Reasoning in Basic Math (3 cr.)

Problem solving using nontrivial real-world problems grounded in fundamental math. Practice in making sense of a given problem, abstracting essential mathematical concepts and developing strategies to arrive at a solution, distinct from rote memory and mimicking previously done problems. Figuring out how to solve the problem is the focus. (Fall/Spring). Liberal arts. Prerequisites: MAT101 or equivalent.

#### MAT133 - Mathematics in Context (3 cr.)

An introductory level course for non-science majors, focusing on simple mathematical models in contexts of general interest. The course emphasizes the use of mathematics to analyze issues of interest to an informed member of society. There is emphasis on active learning. Students should expect to read and write about the applications of mathematics, and to solve non-routine problems in mathematics. (Fall/Spring). Liberal arts. Prerequisite: completion of mathematics competency requirement.

#### MAT153 - College Geometry (3 cr.)

A study of Euclidean geometry, and an introduction to Non-Euclidean geometries. The emphasis is on both hands on investigations and the deductive method. (Fall). Liberal arts. Prerequisite: Completion of the Math Competency Requirement.

#### MAT161 - Introductory Statistics (3 cr.)

Introduction to the fundamentals of statistics. Emphasis is on understanding and application of statistical reasoning. (Fall/Spring/Summer). Liberal arts. Prerequisite: Completion of Math Competency Requirement.

#### MAT199 - Independent Study (1 to 15 cr.)

Project individually arranged by student and faculty sponsor. Requires completion of the Independent Study form and approval by the Faculty Sponsor, Academic Advisor, Department Chair and Academic Dean.

#### MAT202 - Linear Algebra I (3 cr.)

Introductory, applications-oriented course for students majoring in mathematics, computer science, engineering, economics or science. Topics include systems of linear equations, matrices, determinants, vector spaces and vector geometry. (Fall/Spring). Liberal arts. Prerequisites: MAT224 or HON144, or equivalent knowledge.

#### MAT221 - Calculus for the Life, Management, & Social Sciences I (3 cr.)

An introduction to calculus for students of the life, management and social sciences. Topics include: functions, limits, differentiation, applications of derivatives, exponential and logarithmic functions, antiderivatives, definite integral and the fundamental theorem of calculus. May be taken concurrently with MAT104. A student will not receive credit for more than one of MAT221, MAT224, and MAT228. Liberal arts. (Fall/Spring/Summer). Prerequisites: MAT102 or Calculus Readiness Test.

#### MAT222 - Calculus for the Life, Management, & Social Sciences II (3 cr.)

A continuation of MAT221. Topics include: techniques and applications of integration, functions of several variables, partial derivatives, total differentials and applications, double integrals and elementary differential equations. May be taken concurrently with MAT104. Cannot be taken in addition to MAT225 for credit. (Fall/Spring). Liberal arts. Prerequisite: MAT104 (may be concurrent) and MAT221.

#### MAT224 - Calculus I (0 to 4 cr.)

Basic concepts and techniques of single variable calculus including algebraic and trigonometric functions, limits, continuity, differentiation, applications of differentiation, antidifferentiation and the definite integral. May be taken concurrently with MAT104. Students will not receive credit for more than one of MAT221, MAT224, and MAT228. Liberal arts. (Fall/Spring/Summer). Corequisite: MAT104. Prerequisites: MAT102 or Calculus Readiness Test.

#### MAT225 - Calculus II (4 cr.)

A continuation of MAT224. Includes applications of the definite integral, inverse functions, logarithmic and exponential functions, separable differential equations and their applications, techniques of integration, sequences and infinite series.(Fall/Spring/Summer). Liberal arts. Prerequisites: MAT224 or HON144.

#### MAT228 - Applied Calculus (4 cr.)

An introduction to calculus for science students. Topics include: functions, limits, differentiation, applications of derivatives, exponential, logarithmic, and trigonometric functions, integration, the fundamental theorem of calculus, modeling. Additional possible topics are differential equations, and series. Students will not receive credit for more than one of MAT221, MAT224, and MAT228. Liberal arts. (Fall/Spring). Corequisite: MAT104 must be taken before or concurrently with MAT228. Prerequisite: MAT102 or Calculus Readiness Test. Restricted to the following majors: Ecology, Environmental Science BA, Environmental Science BS, Environmental Science BA Study Option in Environmental Planning and Management, Geology BS, Geology BA, Geology BA Study Option in Earth Science, Geology BA Study Option in Environmental Geology, and Geology/Adolescence Education BA/MST.

#### MAT231 - Sets, Functions and Relations (3 cr.)

Provides students with the knowledge to make the transition from entry level mathematics to more advanced levels of the subject. Extensive practice with creating and writing proofs is provided. The material studied in this course is widely used in upper-level courses. (Fall/Spring). Liberal arts. Prerequisite: MAT225.

#### MAT299 - Independent Study (1 to 15 cr.)

Project individually arranged by student and faculty sponsor. Requires completion of the Independent Study form and approval by the Faculty Sponsor, Academic Advisor, Department Chair and Academic Dean.

#### MAT301 - Introduction to Abstract Algebra (3 cr.)

A systematic development of algebraic structure. Methods of proof are emphasized, and proofs of fundamental results in algebra are discussed. Topics include groups, rings and fields. (Fall/Spring). Liberal arts. Prerequisite: MAT231.

#### MAT302 - Linear Algebra II (3 cr.)

Rigorous treatment of basic concepts, results and techniques of linear algebra for mathematics major and students who intend to continue their studies in the mathematical sciences. Topics include vector spaces over a field, linear transformations, inner product spaces, eigenvalues and canonical forms. (Fall/Spring). Liberal arts. Prerequisites: MAT202, MAT231 or equivalent knowledge.

#### MAT326 - Calculus III (0 to 4 cr.)

A continuation of MAT224 and 225. Topics include vectors in the plane, geometry of three dimensional space, vector functions in three space, partial derivatives, multiple integrals, line and surface integrals, Green's and Stokes' Theorems. (Fall/Spring). Liberal arts. Prerequisites: MAT225 or equivalent

#### MAT353 - Geometry (3 cr.)

A rigorous treatment of the foundations of Euclidean geometry and an introduction to hyperbolic geometry with emphasis on proofs. The history and philosophical implications of the discovery of non-Euclidean geometry are studied. (Spring). Liberal arts. Prerequisite: MAT231.

#### MAT361 - Probability and Statistics (3 cr.)

Introduction to probability and statistics. Topics include the elementary theory of probability, discrete and continuous random variables, sampling distributions, and estimation and hypothesis testing. (Fall/Spring). Liberal arts. Prerequisites: MAT326 or POI.

#### MAT362 - Statistical Inference (3 cr.)

Gives the student with a background in probability an introduction to statistical inference. Topics include the theory and application of parameter estimation and hypothesis testing. Liberal arts. Prerequisites: MAT361

#### MAT365 - Probability Models (3 cr.)

Introduction to the theory of stochastic processes and the use of stochastic processes in modeling phenomena in such fields as engineering, management sciences, and the physical and social sciences. Liberal arts. (Fall). Prerequisite: MAT361.

#### MAT397 - Core Mathematics Problem Seminar (3 cr.)

Required of all mathematics majors. Designed to round out and strengthen the student's knowledge of core mathematics and prepare the student for advanced work in mathematics. Approved AWR. (Fall/Spring). Liberal arts. Prerequisites: ENG101, MAT301, MAT302, MAT326.

#### MAT399 - Independent Study (1 to 15 cr.)

Project individually arranged by student and faculty sponsor. Requires completion of the Independent Study form and approval by the Faculty Sponsor, Academic Advisor, Department Chair and Academic Dean.

#### MAT401 - Topics in Abstract Algebra (3 cr.)

Advanced topics in abstract algebra chosen to broaden, deepen, and help assimilate the knowledge acquired in linear and abstract algebra and prepare the student for further study in mathematics. (Fall of even-numbered years). Liberal arts. Prerequisites: MAT301, MAT302.

#### MAT411 - Mathematics Teaching Methods for Adolescence Education (4 cr.)

A course designed to familiarize the adolescence major with the content and processes of the New York State and National Council of Teachers of Mathematics standards. Students will gain knowledge of diverse teaching strategies and methods as well as assessment techniques. Additional emphasis will be given to classroom management, planning, grading, and incorporation of technology into the classroom, with multiple opportunities for less and unit plan presentations. Liberal arts. (Fall). Prerequisites: MAT301, MAT302, MAT326, MAT353, MAT361.

#### MAT423 - Complex Analysis (3 cr.)

Introduction to the basic theory of functions of a complex variable, including differentiation, integration, the Cauchy Theory and some of its applications. (Spring of odd-numbered years). Liberal arts. Prerequisites: MAT326.

#### MAT426 - Differential Equations (3 cr.)

An introduction to differential equations, their solution methods, and their applications. Topics include linear differential equations, series solutions, systems of differential equations, Laplace transforms, and applications to the physical sciences. (Spring). Liberal arts. Prerequisites: MAT326.

#### MAT428 - Foundations of Calculus (3 cr.)

This course revisits the theorems of Calculus I and II on limits and continuity, derivatives and integrals, and infinite series. The theorems will be studied in detail, and many will be proved. (Fall/Spring). Liberal arts. Prerequisites: MAT397.

#### MAT429 - Advanced Calculus (3 cr.)

A modern conceptual treatment of multivariable calculus. The course centers around the inverse function theorem, Green's theorem, and is presented via linear algebra. For students of mathematics and science. (Fall). Liberal arts. Prerequisites: MAT428.

#### MAT431 - Seminar in Set Theory (3 cr.)

Topics in Set Theory chosen to reflect the interests and abilities of the participants. Course may be repeated with departmental approval. (when staffing and demand permit). Liberal arts. Prerequisites: Variable, depending on content.

#### MAT441 - Topology I (3 cr.)

The study of general topological spaces and their elementary point-set invariants. Topics include metric space topologies, basis and subbasis, continuous functions, connectedness, compactness and separation, applications to elementary analysis. (Fall of odd-numbered years). Liberal arts. Prerequisites: MAT202, MAT231, MAT301.

#### MAT460 - Topics in Applied Probability/Financial Mathematics (3 cr.)

Application of probability to topics in financial mathematics. Liberal arts. (Fall Odd Years). Prerequisite: MAT326.

#### MAT472 - Dynamical Systems (3 cr.)

Physical systems are often modeled using systems of ordinary differential equations. We study the construction of these mathematical models, along with various techniques for analyzing their solutions. Liberal arts. (Spring of Even Years). Corequisite: MAT426 (may either be taken before or concurrently with this course). Prerequisites: MAT302 and MAT326.

#### MAT484 - Introduction to Combinatorics (3 cr.)

An introductory look at some of the more important topics in finite mathematics including methods of enumeration and graph theory. Many specific notions are defined and classical problems introduced so that general techniques may be applied to them. (Spring of even-numbered years). Liberal arts. Prerequisites: MAT202

#### MAT496 - Applied Instructional Practicum I (1 to 2 cr.)

Provides an opportunity for the student to assist in the instruction of a mathematics course under the supervision of the course instructor. A contract, approved by the chairperson, specifying the duties of the student will be filed in the departmental office. This course may be repeated as II, III or IV with the permission of the chairperson. (Fall/Spring). Liberal arts. Prerequisites: by invitation only; GPA of 3.0 in mathematics or a grade of B or better in MAT397.

#### MAT499 - Independent Study (1 to 15 cr.)

#### MAT599 - Independent Study (1 to 15 cr.)

## Search the College Course Catalog

Enter a course number or three-letter course subject to search the College Catalog:

### Alphabetical Listing of Curriculum Descriptions by Course Subject

#### A

- Africana Studies = AAS
- Accounting = ACC
- Anthropology = ANT
- Arabic = ARA
- Art = ART
- Asian Studies = ASI
- Astronomy = AST

#### B

- Biology = BIO
- Business = BUS

#### C

- Canadian Studies = CAS
- Communications Disorders & Sciences = CDS
- Consumer Economics Management = CEM
- Chemistry = CHE
- Counseling = CLG
- Career Life Planning = CLP
- Communication Studies = CMM
- Computer Science = CSC
- Criminal Justice = CRI

#### E

- Economics = ECO
- Education = EDU
- Education - Administration = EDA
- Education - Mathematics = EDM
- Education - Reading = EDR
- Education - Special = EDS
- English = ENG
- Environmental Science = ENV
- English as a Second Language = ESL
- Expeditionary Studies = EXP

#### F

- Finance = FIN
- Foreign Languages & Literature = FLL
- French = FRE
- Freshman Seminar = FRS
- Freshman Experience = FRX

#### G

- Geography = GEG
- Gender & Women's Studies = GWS
- Geology = GEL
- German = GER

#### H

- Health Education = HED
- History = HIS
- Honors = HON
- Hotel, Restaurant, & Tourism Management = HRT
- Human Development and Family Relations = HDF

#### I

- Interdisciplinary Studies = INT
- Italian = ITA

#### J

- Journalism = JOU

#### L

- Latin American Studies = LAS
- Latin = LAT
- Leadership = MLS
- Library Skills = LIB
- Language & Linguistics = LIN

#### M

- Mathematics = MAT
- Meteorology = MET
- Military Studies = MTS
- Management & International Business = MGM
- Marketing & Entrepreneurship = MKE
- Minority Studies = MNS
- Music = MUS

#### N

- Nursing = NUR
- Nutrition = FNI

#### P

- Physical Education = PED
- Philosophy = PHI
- Physics = PHY
- Portuguese = POR
- Political Science = PSC
- Psychology = PSY

#### R

- Reading = RDG
- Recreation = REC
- Russian = RUS

#### S

- Science & Society = SCI
- Sociology = SOC
- Spanish = SPA
- Social Work = SWK

#### T

- Theatre = THE
- Tutor Training = TTR