Mathematics

Mathematics

MAT 001 - College Preparatory Mathematics

Prerequisites: Students placed in math 001 or choosing to meet placement of Math 003 or 013 with the sequence of Math 001 and Math 002 or Math 012.

Description: A non-credit course required of students not meeting the entrance requirements in Mathematics. Topics include: Integers and rational numbers, fundamental operations with integers, fractions and decimals, ratio and proportion, percent, consumer and job related problems. Hand-held calculators will be used (3 lecture hours). SUNY GE-n/a; NCC GEN ED-n/a Offered: Fall, Winterim, Spring, Summer

Credit Hours: 0
Department: Math/Computer Science/Info Tec

MAT 002 - Introductory Algebra

Prerequisites: Satisfactory completion of MAT 001 or by college placement.

Description: A non-credit course that prepares students to take a credit-level liberal arts mathematics course or MAT 109 - College Algebra and Trigonometry. All students with a MAT 002 or MAT 012 placement are eligible to take this course. Topics include: fundamental processes of arithmetic and algebra, factoring, linear and fractional equations, exponents, radicals, quadratic equations and right triangle trigonometry. Hand-held scientific calculators will be used (4.5 lecture hours). SUNY GEN ED-n/a; NCC GEN ED-n/a Offered: Fall, Winterim, Spring, Summer

Credit Hours: 0
Department: Math/Computer Science/Info Tec

MAT 003 - Integrated Arithmetic and Introductory Algebra

Description: A non-credit course that prepares students to take a credit-level liberal arts mathematics course or MAT 109 - College Algebra and Trigonometry. All students with MAT 001, MAT 013 or MAT 003 placement are eligible to take this course. Arithmetic and algebra will be integrated throughout the semester. Emphasis will be placed on fundamental operations of integers and rational numbers, ratio and proportion, percents, factoring, linear and fractional equations, exponents, radicals, quadratic equations, and right triangles. Various relationships will be explored both graphically and analytically. Hand-held scientific calculators will be used (6 lecture hours). SUNY GEN ED-n/a; NCC GEN ED-n/a Offered: Fall, Winterim, Spring, Summer

Credit Hours: 0
Department: Math/Computer Science/Info Tec

MAT 009 - Support for College Algebra and Trigonometry

Prerequisites: MAT 100 placement or S in MAT 012 or MAT 013. Student must have satisfied ENG 001 and RDG 001 developmental requirements.

Description: Co-requisite: MAT 109 This course is intended for students who otherwise would have to take MAT 002 prior to enrolling in MAT 109. These are students who have a MAT 100 placement or who have satisfactorily completed MAT 012 or MAT 013. The course is designed to support students taking MAT 109, College Algebra and Trigonometry, by reviewing material recently covered in the course and strengthening students' skills in preparation for upcoming topics. SUNY GEN ED-n/a; NCC GEN ED-n/a Offered: Fall, Winterim, Spring, Summer

Credit Hours: 0
Department: Math/Computer Science/Info Tec

MAT 012 - Quantitative Reasoning 1

Description: Prerequisite: Satisfactory completion of MAT 001 or by college placement; RDG 001 (may be taken concurrently). A non-credit course that prepares students to take a credit-level general liberal arts course in mathematics. All non-STEM students with a MAT 002 or MAT 012 placement are eligible to take this course. Students who intend to take MAT 109 and/or major in a science, technology, engineering or mathematics related discipline should take MAT 002 instead of this course. This course integrates quantitative literacy with mathematical concepts such as fluency with numbers, proportional reasoning, data interpretation, algebraic reasoning, graphing lines, and modeling. Class discussions will be used to investigate mathematical concepts based on real-life examples. Some examples include: social justice; home repair; population growth and density; and consumer literacy. Students should be prepared to actively participate in class discussions during every class meeting. Hand-held scientific calculators will be used (4.5 lecture hours). Students who intend to major in science, technology, engineering or mathematics should take MAT002 or MAT 003 instead of this course. Graded on an S-U basis. SUNY GEN ED-n/a; NCC GEN ED-n/aOffered: Fall, Spring, Summer

Credit Hours: 0
Department: Math/Computer Science/Info Tec

MAT 013 - Integrated Arithmetic and Quantitative Reasoning I

Description: Prerequisite: RGD 001 (may be taken concurrently). A non-credit course that prepares students to take a credit-level general liberal arts course in mathematics. All non-STEM students with MAT 001, MAT 013 or MAT 003 placement are eligible to take this course. Students who intend to take MAT 109 and/or major in science, technology, engineering or mathematics related discipline should take MAT 003 instead of this course. This course integrates arithmetic and quantitative literacy with mathematical concepts such as fundamental operations of integers and rational numbers, ratio and proportion, percents, proportional reasoning, data interpretation, algebraic reasoning, graphing lines, and modeling. Class discussions will be used to investigate mathematical concepts based on real-life examples. Some examples include: social justice; home repair; population growth and density; and consumer literacy. Students should be prepared to actively participate in class discussions during every class meeting. Hand-held scientific calculators will be used (6 lecture hours.) SUNY GEN ED-n/a; NCC GEN ED-n/a Offered: Fall, Spring, Summer

Credit Hours: 0
Department: Math/Computer Science/Info Tec

MAT 100 - A Topical Approach to Mathematics

Prerequisites: Students must have satisfied all MAT, ENG 001 and RDG 001 developmental course requirements prior to starting the course.

Description: Fundamental Mathematics topics and their applications. Topics include: problem solving, number systems, geometry, consumer mathematics, mathematical modeling, probability, management science, and social choice and decision making. A scientific calculator is required. (4.5 lecture hours) (Students will not receive credit for both MAT 100 and MAT 114). SUNY GE-SMAT; SUNY GEN ED-GMAT; NCC GEN ED-MATH Offered: Fall, Winterim, Spring, Summer

Credit Hours: 4
Department: Math/Computer Science/Info Tec

MAT 101 - Concepts of Mathematics

Prerequisites: Students must have satisfied all MAT, ENG 001 and RDG 001 developmental course requirements prior to starting the course.

Description: Topics include: formal symbolic logic, arguments, methods of proof; basic concepts of sets, set operations and probability. Consideration of number systems and computers. SUNY GE-SMAT; SUNY GEN ED-GMAT; NCC GEN ED-MATH Offered: Fall, Winterim, Spring, Summer

Credit Hours: 3
Department: Math/Computer Science/Info Tec

MAT 102 - Introduction to Statistics

Prerequisites: Students must have satisfied all MAT, ENG 001and RDG 001 developmental course requirements prior to starting the course.

Description: *See calculator note in catalog. Appropriate and inappropriate uses of statistics, measures of central tendency and variability, basic concepts of probability, the binomial, normal and 't' distributions, testing hypotheses, estimation, chi-square, linear regression, and correlation. SUNY GE-SMAT; SUNY GEN ED-GMAT; NCC GEN ED-MATH Offered: Fall, Winterim, Spring, Summer

Credit Hours: 3
Department: Math/Computer Science/Info Tec

MAT 103 - Applied Statistics

Prerequisites: Students are to be placed into MAT 103 by the following:

Description: At least a C in MAT 102. A course for students concentrating in liberal arts, social science, humanities, and statistics. Through the use of computer software packages such as Excel, Lotus 1-2-3, Statistical Package for the Social Sciences (SPSS), and Minitab, the basic and more advanced ideas of descriptive and inferential statistics are studied. SUNY GE-SMAT; SUNY GEN ED-GMAT; NCC GEN ED-MATH Offered: Fall, Spring, Summer

Credit Hours: 3
Department: Math/Computer Science/Info Tec

MAT 109 - College Algebra and Trigonometry

Prerequisites: Students are to be placed into MAT 109 by the following:

Description: College Placement Test (For some students whose College Placement Test scores allow for MAT 109, MAT 002 might be recommended prior to taking MAT 109) Students must have satisfied MAT002 or MAT003, ENG 001 and RDG 001 developmental course requirements prior to starting the course. *See calculator note in catalog. This course considers fundamental ideas from algebra, trigonometry, and functions, including exponentials and logarithms. A problem solving approach is used. (4.5 lecture hours) SUNY GE-SMAT; SUNY GEN ED-GMAT; NCC GEN ED-MATH Offered: Fall, Winterim, Spring, Summer

Credit Hours: 4
Department: Math/Computer Science/Info Tec

MAT 111 - Pre-Calculus

Prerequisites: Students are to be placed into MAT 111 by the following:

Description: College Placement Test or at least a 'C' in MAT 109 or MAT 116. *See calculator note in catalog. A primer course for the study of Calculus. The function concept plays the unifying role in the study of polynomial, rational, exponential, logarithmic, and trigonometric functions. The modeling of elementary functions is stressed and topics are presented graphically, numerically, analytically, and verbally (following the Rule of Four). Technological support using a graphing calculator is integrated throughout the semester. In addition, appropriate computer software may also be available. (4.5 lecture hours) SUNY GE-SMAT; SUNY GEN ED-GMAT; NCC GEN ED-MATH Offered: Fall, Spring, Summer

Credit Hours: 4
Department: Math/Computer Science/Info Tec

MAT 112 - Calculus with Applications in Business and Social Sciences

Prerequisites: Students are to be placed into MAT 112 by the following:

Description: College Placement Test or at least a C in MAT 111 or MAT 117 *See calculator note in catalog. This course is not recommended for Math, Engineering, Science or Computer Science students and it does not satisfy the prerequisite for MAT 123. This course is intended to introduce the fundamental concepts and techniques of calculus to the non-science student. Special emphasis is given to applications in Business and Social Sciences. Topics include functions and graphs; the derivative and differentiation techniques of algebraic, exponential and logarithmic functions of a single variable; the concept of margin in economics; elasticity of demand; differentials; related rates and optimization problems; growth and decay applications; integrals and integration techniques; application of integrals, including producer's and consumer's surplus; income streams, probability. (4.5 lecture hours) Students will not receive credit for both MAT 112 and MAT 122. SUNY GE-SMAT; SUNY GEN ED-GMAT; NCC GEN ED-MATH Offered: Summer

Credit Hours: 4
Department: Math/Computer Science/Info Tec

MAT 114 - Foundations of Mathematics for Educators

Prerequisites: Students must have satisfied all MAT, ENG 001 and RDG 001 developmental course requirements prior to starting the course.

Description: This course is intended for students who are interested in teaching at the elementary school level. Topics will include a development of binary algorithms, the real numbers, field properties of the real number system as applied to abstract mathematical systems, numerations systems, functions and equivalence relations, solving systems of algebraic equations and number theory including some algebraic proof. Applications, historical perspectives, problem solving, and use of the technology will be emphasized in all topics. Students will not receive credit for both MAT 100 and MAT 114. (3.0 lecture hours) SUNY GEN ED-GMAT, NCC GEN ED-MATH Offered: Fall, Spring, Summer

Credit Hours: 3
Department: Math/Computer Science/Info Tec

MAT 116 - Engineering Technical Math I

Prerequisites: Two years of Regents H.S. mathematics, with at least a 78% on Math A Regents; or at least a 75% average in two years of Regents H.S. mathematics, or satisfactory completion of MAT 002. Students must have satisfied MAT 002 or MAT 003, ENG 001 and RDG 001 developmental course requirements prior to starting the course.

Description: *See calculator note in catalog. Designed for students in Engineering Technology Programs. Operations with real numbers; exponents and scientific notation; equations and inequalities; functions and graphs; system of equations and determinants; triangle trigonometry and introduction to general trig definitions; algebraic products and factoring; solving equations by factoring and quadratic formula; fractional equations and operations with algebraic fractions. Applications are considered from various scientific, technical, and practical areas. (4,5 lecture hours) Students will not receive credit for both MAT 109 and MAT 116, SUNY GEN ED-GMAT; NCC GEN ED-MATH Offered: On Occasion

Credit Hours: 4
Department: Math/Computer Science/Info Tec

MAT 117 - Engineering Technical Math II

Prerequisites: Three years of Regents H.S. mathematics, with at least a 78% on Math B Regents; or at least a 75% average in three years of Regents H.S. mathematics (including trigonometry - i.e. Sequential 3); or at least a C in MAT 109 or MAT 116.

Description: *See calculator note in catalog. Designed for students in Engineering Technology. Rational exponents and radicals; functions and their graphs; polynomial, exponential, logarithmic and trigonometric functions; conic sections; introduction to derivatives and integrals. Applications are considered from various scientific, technical and practical areas. (4.5 lecture hours) Students will not receive credit for both MAT 111 and MAT 117. SUNY GEN ED-GMAT; NCC GEN ED-MATH Offered: On Occasion

Credit Hours: 4
Department: Math/Computer Science/Info Tec

MAT 118 - Finite Mathematics: Quantitative Analysis

Prerequisites: Students are to be placed into MAT 118 by the following:

Description: College Placement Test (for some students whose College Placement Test scores allow for MAT 118, MAT 002 might be recommended prior to taking MAT 118) Students must have satisfied all MAT, ENG 001 and RDG 001 developmental course requirements prior to starting the course. This course covers applications of finite mathematical models, primarily to problems in business and management. Matrix operations, Markov analysis, Gauss-Jordan elimination, input-output analysis, linear programming and the simplex method, game and decision theory will be addressed. SUNY GE-SMAT; SUNY GEN ED-GMAT; NCC GEN ED-MATH Offered: Spring, Summer

Credit Hours: 3
Department: Math/Computer Science/Info Tec

MAT 119 - Data Science/Analytics

Prerequisites: At least a C in MAT 102. Students must have satisfied all MAT, ENG 001 and RDG 001 remediation requirements prior to starting the course.

Description: This course will teach how to extract knowledge or insights from data. The student will be introduced to data preparation (data cleaning, merging datasets, creating new variables), exploratory data analysis, correlation, linear regression, multiple linear regression, ANOVA, logistic regression, decision trees, cluster analysis, neural networks, and big data. Industry standard statistical software will be used extensively throughout the course. Lab fee applies. SUNY GEN ED-GMAT; NCC GEN ED-MATH Offered: Fall, Spring, Summer

Credit Hours: 3
Department: Math/Computer Science/Info Tec

MAT 122 - Calculus I

Prerequisites: Students are to be placed into MAT 122 by the following: College Placement Test or at least a C in MAT 111 or MAT 117.

Description: *See calculator note in catalog. Definitions of limit, continuity and derivative; rates of change, tangent to a curve, chain rule; derivatives of elementary functions, products, quotients; higher order, implicit and inverse differentiation; mean value theorem; maxima and minima; differentials; definition of the definite integral, Fundamental Theorem of Integral Calculus; applications; integration of elementary functions. (4.5 lecture hours) Students will not receive credit for both MAT 112 and MAT 122. SUNY GE-SMAT; SUNY GEN ED-GMAT; NCC GEN ED-MATH Offered: Fall, Spring, Summer

Credit Hours: 4
Department: Math/Computer Science/Info Tec

MAT 123 - Calculus II

Prerequisites: At least a C in MAT 122.

Description: *See calculator note in catalog. Methods of integration; improper integrals, applications of the definite integral including volume and surface area of solids of revolution; introduction to mathematical modeling using differential equations; Euler's method; separation of variables; slope fields; introduction to infinite series. (4.5 lecture hours) SUNY GE-SMAT; SUNY GEN ED-GMAT; NCC GEN ED-MATH Offered: Fall, Spring, Summer

Credit Hours: 4
Department: Math/Computer Science/Info Tec

MAT 131 - Probability with Statistical Inference

Prerequisites: At least a C in MAT 123 (Calculus II).

Description: *See calculator note in catalog. Probability as a mathematical system: sample spaces, probability axioms, simple theorems. Permutations, combinations, Bayes theorem. Random variables; discrete and continuous probability and distribution functions: binomial, hypergeometric, Poisson, and normal distributions. Methods of estimation and hypothesis testing. SUNY GE-SMAT; SUNY GEN ED-n/a; SUNY GEN ED-MATH Offered: Spring

Credit Hours: 3
Department: Math/Computer Science/Info Tec

MAT 150 - Data Science/Analytics

Prerequisites: At least a C in MAT 102 or at least a C in MAT 131.

Description: This course will teach how to extract knowledge or insights from data. The student will be introduced to data preparation (data cleaning, merging datasets, creating new variables), exploratory data analysis, correlation, linear regression, multiple linear regression, ANOVA, logistic regression, decision trees, cluster analysis, neural networks, and big data. Industry standard statistical software will be used extensively throughout the course. Lab fee applies. Formerly MAT 119. Students who have completed MAT 119 will not receive credit for MAT 150. SUNY GEN ED-GMAT; NCC GEN ED-MATH Offered: On Occasion

Credit Hours: 3
Department: Math/Computer Science/Info Tec

MAT 200 - Foundations of Advanced Mathematics

Prerequisites: At least a C in MAT 123.

Description: This course introduces students to concepts requisite for advanced mathematical study. The main emphasis is on the development of sound mathematical reasoning and construction of solid mathematical proofs. Mathematical ideas and concepts from the foundations of the number system, set theory, logic, algebra, calculus, number theory and other advanced fields are selected as illustrations. Students are challenged to develop their own conceptual understanding of mathematical proofs, and to defend their mathematical proofs, and to defend their mathematical reasoning. SUNY GEN ED-n/a; NCC GEN ED-MATH Offered: Fall

Credit Hours: 3
Department: Math/Computer Science/Info Tec

MAT 225 - Multivariable Calculus

Prerequisites: At least a C in MAT 123.

Description: *See calculator note in catalog. Curves and surfaces in three dimensional space, partial derivatives, gradient, constrained and unconstrained optimization, vector fields, parametric curves and surfaces. Integration topics include multiple integrals, volume, area, mass, line and surface integrals, flux, divergence. (4.5 lecture hours) SUNY GEN ED-n/a; NCC GEN ED-MATH Offered: Fall, Spring, Summer

Credit Hours: 4
Department: Math/Computer Science/Info Tec

MAT 226 - Elementary Linear Algebra

Prerequisites: At least a C in MAT 123.

Description: *See calculator note in catalog. This course is an introduction to Elementary Linear Algebra. Topics to be covered include systems of linear equations, determinants, matrix algebra, vector algebra, vector spaces, linear transformations, eigenspaces, inner products, spectral theory, and linear differential equations. SUNY GE-SMAT; SUNY GEN ED-n/a; NCC GEN ED-MATH Offered: Spring, Summer

Credit Hours: 4
Department: Math/Computer Science/Info Tec

MAT 234 - Elementary Differential Equations

Prerequisites: At least a C in MAT 123.

Description: *See calculator note in catalog. Analysis and methods of solving first-order equations, including numerical methods; higher order equations including the Laplace transform method, the Taylor series solution, and boundary value problems; linear systems of equations; applications to physical, engineering and life sciences. SUNY GEN ED-n/a; NCC GEN ED-MATH Offered: Fall, Spring, Summer

Credit Hours: 3
Department: Math/Computer Science/Info Tec

MAT 235 - Algebraic Structures

Prerequisites: MAT 225.

Description: Groups, rings, integral domains, and fields with applications to the integers, rationals, and the real and complex number systems. SUNY GEN ED-n/a; NCC GEN ED-MATH Offered: On Occasion

Credit Hours: 3
Department: Math/Computer Science/Info Tec

MAT 241 - Discrete Mathematical Structures

Prerequisites: MAT 122.

Description: Basic concepts of discrete mathematics: logic and set theory, proof techniques, relations, functions, combinations, recurrence relations, introduction to analysis of algorithms, and graph theory. Laboratory fee applies. SUNY GE-SMAT; SUNY GEN ED-n/a; NCC GEN ED-MATH Offered: Fall, Winterim, Spring, Summer

Credit Hours: 3
Department: Math/Computer Science/Info Tec

MAT 295 - Independent Study-Math

Description: SUNY GEN ED-n/a; NCC GEN ED-MATH. Formerly MAT 699. Students who have completed MAT 699 will not receive credit for MAT 295.

Credit Hours: 3
Department: Math/Computer Science/Info Tec

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