The following courses are offered by Mathematics Department

- This course covers mathematics recommended by the National Council of Teachers of Mathematics (NCTM) for prospective elementary school teachers, including problem solving, numeration, computation, real numbers, and number theory with an additional 60 hours focusing on intermediate algebra concepts. MAT 214.5 focuses on a learner-oriented approach to teaching mathematics. Emphasis is placed on mathematical concepts and skills, as well as techniques of inquiry and critical thinking. The course includes a survey of elementary mathematical concepts with appropriate materials to assist teachers in the classroom setting. MAT 214.5 meets the mathematics requirement for students who plan to teach on the elementary school level. In addition, the course will cover topics from MAT 56, Intermediate Algebra, including such topics as properties of real numbers, polynomials and factoring, equations and inequalities in one and two variables, systems of linear equations and inequalities, rational expressions and functions, rational exponents and roots, quadratic functions, exponential and logarithmic functions, and an
introduction to trigonometry.

This course will consist of:

1. Numeration Systems

2. Alternate Algorithms and Methods of Computation

3. Number Theory and Types of Numbers

4. Rational and Irrational Numbers, Measurement

5. Problem Solving and Patterns

6. Sets and Logic

Algebra Topic will be infused throughout the course (see end of this syllabus for more detail).

The topics correspond with the NCTM strands of Number and Number Sense, including developing early number concepts and number sense, developing whole-number place-value concepts, developing meanings and strategies for the operations, developing fraction concepts and strategies for fraction computation, developing concepts of decimals and percents, patterns and algebra, including developing algebraic thinking: generalizations, patterns, and functions, and measurement, including developing measurement concepts.

Prerequisite: Students must have passed or be exempt from MAT 51 or MAT 12

Please Note: This is an accelerated course that combines credit-bearing and developmental content.

Course Syllabus

## Mathematics

- This is a course in arithmetic skills and the rudiments of algebra. Topics covered include whole numbers, fractions, decimals, percents, proportions, signed numbers, and solving simple linear equations.

Pre/Co-Requisites: Co-Requisite: ESL 062. Students who score less than 26 on the COMPASS Pre-algebra exam are eligible to take MAT 008.

Course Syllabus - This course is a combination of arithmetic and elementary algebra. It includes the arithmetic of integers, fractions, decimals, and percent. In addition, such topics as signed numbers, algebraic representation, operations with polynomials, factoring, the solution of simultaneous linear equations of two variables, and graphing are covered.

Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.

Course Syllabus - This developmental course provides an alternative and accelerated pathway to the college-level liberal arts mathematics courses. The course will focus on applications of numerical reasoning to make sense of the world around us. Applications of arithmetic, proportional reasoning and algebra are emphasized. Lessons focusing directly on supporting students??A?A? computational skills are embedded in the course according to relevance to the following topic. This course cannot be used as a prerequisite for MAT 056 and is not suited for Science, Technology, Engineering or Math (STEM) students.

Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.

Prerequisite: ESL 62

Corequisite: ACR 94

Course Syllabus - This developmental course provides an alternative and accelerated pathway to the college-level liberal arts mathematics courses. The course will focus on applications of numerical reason to make sense of the world around us. Applications of arithmetic, proportional reasoning and algebra are emphasized. This course cannot be used as a prerequisite for MAT 056 and is not suited for Science, Technology, Engineering or Mathematics (STEM) students.

Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.

Course Syllabus - This course is the first algebra course offered at the College. It includes such topics as algebraic representation, signed numbers, operations with polynomials, factoring, the solution of linear equations, the coordinate system, the solution of simultaneous linear equations of two variables, and graphing. This course is designed to prepare students for the CUNY Freshman Skills Assessment Test required for transfer to the upper division of CUNY, as well as for more advanced math courses. If a student passes MAT 12, the student should not register for MAT 51, since MAT 12 combines MAT 8 and MAT 51.

Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.

Course Syllabus - This course is the second algebra course offered at the college. It is open to students who have completed elementary algebra or its equivalent. It includes such topics as: factoring, solutions of linear and quadratic equations, trigonometric relationships, exponents, logarithms, and the graphs of quadratic equations.

Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.

Course Syllabus - This course is a combination of elementary algebra and intermediate algebra including trigonometry. It includes such topics as properties of real numbers, polynomials and factoring, equations and inequalities in one and two variables, systems of linear equations and inequalities, rational expressions and functions, rational exponents and roots, quadratic functions, exponential and logarithmic functions, and an introduction to trigonometry. This course is recommended for eligible students that wish to take a one-semester accelerated path to MAT 206. Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.

Course Syllabus - This course includes the study of several mathematical systems. The role of mathematics in modern culture, the role of postulational thinking in all of mathematics, and the scientific method are discussed. The course considers topics such as: the nature of axioms, truth and validity; the concept of number; the concept of set; scales of notation; and groups and fields.

Prerequisites: MAT 12, MAT 14, MAT 41, MAT 51 or MAT 161.5

Course Syllabus - This course covers computations and measurements essential in the health science professional fields. Topics include: units and measurements, ratios, solutions and dosages.

Prerequisites: MAT 12, MAT 14, MAT 41, MAT 51 or MAT 161.5

Course Syllabus - This course covers topics in intermediate algebra and emphasizes problems and applications in respiratory therapy. It includes such topics as: algebraic representation, factoring, approximate numbers, significant digits and scientific notation, first and second degree equations with applications, ratio and proportions, square roots, radicals and exponents, logarithms, graphing linear equations, vectors and the metric system.

Course Syllabus - This course includes the study of several mathematical systems. The role of mathematics in modern culture, the role of postulational thinking in all mathematics, and the scientific method are discussed, The course considers topics such as the nature of axiom truth and validity; the concept of number; the concept of sets; scales of notation, and groups and fields.

Prerequisites: MAT12, MAT 14, MAT 41, MAT 51 or MAT 161.5

Note: This course satisfies the Pathways: Mathematical & Quantitative Reasoning requirement.

Course Syllabus - This course will introduce the processes involved in research. Students will be designing and performing experiments and analyzing the results. Objectives are-to understand the scientific method, interpret statistics, and appreciate mathematical research. Computers will be used for statistics, graphing, patter recognition, and word processing. Recommended for mathematics- and science- oriented liberal arts students as a liberal arts elective. Not open to Science or Engineering Science majors.

Prerequisite: One year of college science

Course Syllabus - This course is a survey of modern mathematics and its applications developed after the 18th century. The emphasis is on using mathematics to model the political, economic and aesthetic aspects of modern day society. Topics include graph theory, linear programming, game theory, number theory, and mathematical growth and patterns.

Course Syllabus - This course covers basic statistics, including: measures of central tendency, measures of dispersion, graphs, correlation, the regression line, confidence intervals, the significance of differences, and hypothesis testing, including z-tests, t-tests, and chi-square tests.

Prerequisites: MAT 12, MAT 14, MAT 41, MAT 51 or MAT 161.5

Course Syllabus - Statistics with algebra is a statistics course (4 credits and 60 hours) with an additional 30 hours focusing on elementary algebraic concepts useful in statistics. After covering the selected algebraic concepts, the course covers the study of basic statistics. It includes measures of central tendency, measures of dispersion, graphs, probability, the binomial distribution, the normal distribution, sampling distributions, the chi-square distribution, t-tests, estimation and hypothesis testing, correlation and regression.

Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.

Course Syllabus - The course aims to teach students how to think competently about quantitative information. Students learn how to take real world problems, translate them into mathematics, and solve them. Topics include thinking critically, numbers in the real world, financial management, statistical reasoning, probability, and mathematical modeling.

Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.

Course Syllabus - This course aims to teach students how to think competently about quantitative information. Students learn how to take real world problems, translate them into the language of mathematics, and solve them. Topics include thinking critically, numbers in the real world, financial management, statistical reasoning, probability, and mathematical modeling. This course satisfies the mathematic requirement for the CUNY Core. It is recommended for students who do not intend to pursue mathematics, science or any curriculum requiring the students to take Calculus.

Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.

Note: This course satisfies the Pathways: Mathematical & Quantitative Reasoning requirement.

Course Syllabus - This course aims to teach students how to interpret quantitative information, analyze quantitative data, and make inferences in contexts involving mathematical concepts. Topics include proportional reasoning, interpreting percentages, units and measurement, thinking critically, numbers in the real world, financial management, statistical reasoning, probability, and linear and exponential modeling. This course satisfies the mathematics requirement for the CUNY Pathways. This course cannot be used as a pre-requisite for MAT 56 and is not suited for Science, Technology, Engineering or Mathematics (STEM) majors or any major that requires MAT 56.

Course Syllabus - This course covers fundamental mathematical topics associated with computer information systems, including: numeration systems; sets and logic; Boolean algebra, functions, and elementary switching theory; combinatorics; mathematical induction; permutations; combinations; binomial coefficients; and distributions.

Prerequisite: MAT 12 or MAT 51; and MAT 56 or MAT 56.5 or MAT 206.5.

Course Syllabus - This course covers an axiomatic approach to mathematical relations, operations, and the real number system.

Prerequisite: MAT 100

Course Syllabus - This course covers basic algebraic and trigonometric skills, algebraic equations, and functions. Topics include: mathematical induction, complex numbers, and the binomial theorem.

Prerequisite: MAT 56 or MAT 56.5

Course Syllabus - This course integrates Intermediate Algebra and Trigonometry with Precalculus. Topics include properties of real numbers, polynomials and factoring, equations and inequalities in one and two variables, systems of linear equations and inequalities, rational expressions and functions, rational exponents and roots, quadratic functions, exponential and logarithmic functions, and trigonometric functions.

Prerequisite: Elementary Algebra (MAT 51 or MAT 12) or the equivalent with departmental approval or placement into Intermediate Algebra (MAT 56)

Course Syllabus - This is a Liberal Arts elective course. It will
focus on the general steps in the problem-solving
process and the use of problem-solving
strategies espoused by Polya, et al.
Problems will include non-routine exercises
taken from mathematics journals and
competitions, and famous problems from the
history of mathematics.
Prerequisites: MAT 012 or MAT 051, if needed; also MAT 056

Course Syllabus - This course covers statistical concepts and techniques with applications. Topics include probability, random variables, the binomial distribution, the hyper-geometric distribution, measures of central tendency, the normal distribution, precision and confidence intervals, sample design and computer projects.

Prerequisite: MAT 206 or MAT 206.5

Course Syllabus - This course covers the first half of the mathematics recommended by the National Council of Teachers of Mathematics (NCTM) for prospective elementary school teachers, including problem solving, sets, logic, numeration, computation, integers, rational and real numbers, and number theory. This course meets the mathematics requirement only for students in the ECE program. Students who have taken MAT 100 may not receive credit for this course.

Prerequisite: MAT 56 or MAT 56.5 or MAT 206.5

Course Syllabus - This course covers the second half of the mathematics recommended by NCTM for prospective elementary school teachers, including probability, statistics, plane and transformational geometry, congruence, and similarity. This course meets the mathematics requirements ... for students in the ECE program. Students who have taken MAT 150 may not receive credit for this course.
Prerequisite: MAT 214

Course Syllabus - An introduction to Euclidean geometry and some topics from Non-Euclidean Geometry. Topics to be covered in Euclidean geometry include foundations of geometry such as lines, angles, triangles, polygons, circles, solids as well as coordinate geometry and transformations. Non-Euclidean geometry will cover a brief introduction to axion systems, parallelism and hyperbolic geometry.

Prerequisite: MAT206 or the equivalent with departmental approval

Course Syllabus - This is an integrated course in analytic geometry and calculus, applied to functions of a single variable. It covers a study of rectangular coordinates in the plane, equations of conic sections, functions, limits, continuity, related rates, differentiation of algebraic and transcendental functions, Rolle's Theorem, the Mean Value Theorem, maxima and minima, and integration.
Prerequisite: MAT 206 or MAT 206.5

Course Syllabus - This course provides an introduction to the concepts of formal integration. It covers the differentiation and integration of algebraic, trigonometric, and transcendental functions. Topics include the definite integral, the antiderivative, areas, volumes, and the improper integral.
Prerequisite: MAT 301

Course Syllabus - This course is an extension of the concepts of differentiation and integration to functions of two or more variables. Topics include partial differentiation, multiple integration, Taylor series, polar coordinates and the calculus of vectors in one or two dimensions.
Prerequisite: MAT 302

Course Syllabus - This course is designed to prepare students for an advanced mathematics curriculum by providing a transition from Calculus to abstract mathematics. The course explores the logical and foundational structures of mathematics, with an emphasis on understanding and writing proofs. Topics include logic, methods of proof, mathematical induction, axiomatic approach to group theory, number theory, set theory, relations and functions, Cantora??s theory of countability, and the development of the real number system. Throughout the course, students will be actively engaged in understanding, verifying and writing proofs, and will be introduced to methods of mathematics research.

Corequisite: MAT 302

Course Syllabus - This course covers matrices, determinants, systems of linear equations, vector spaces, eigenvalues and eigenvectors, Boolean algebra, switching circuits, Boolean functions, minimal forms, Karnaugh maps.
Prerequisite: MAT 302, or permission of the department

Course Syllabus - This course covers the standard material comprising an introduction to group and ring theory: set theory and mappings; groups, normal subgroups, and quotient groups; Sylow's Theorem; rings, ideals, and quotient rings, Euclidean rings, polynomial rings.
Corequisite: MAT 315

Course Syllabus - This course covers compound statements, sets and subsets, partitions and counting, probability theory, vectors, matrices, and linear programming.
Prerequisites: MAT 012 or MAT 051, if needed; also MAT 056

Course Syllabus - This course presents the mathematical concepts underlying computer networks. The course introduces probability and stochastic process, queuing analysis, and basic graph theory and relates these topics to various layers of the seven layer Open Systems Interface (OSI) organization model of computer networks. Practical laboratory projects provide concrete illustration of theoretical concepts.
Prerequisites: MAT 302

Course Syllabus - This is a first course in the theoretical and applied aspects of ordinary differential equations. Topics include: first-order equations, exact equations, linear equations, series solutions, Laplace transforms, Fourier series, and boundary value problems.
Prerequisite: MAT 302

Course Syllabus - The course follows the growth of mathematics from its empirical nature in Egypt and Babylonia to its deductive character in ancient Greece wherein the roots of the calculus will be identified. The concept of number and the development of algebra, with Hindu, Arabic, and medieval contributions are discussed. The rise of analytic geometry, the calculus, and the function concept are examined. Finally, the trend towards greater rigor and abstraction is considered including formal axiomatic systems and Godel's Incompleteness Theorem.
Prerequisite: MAT 302

Course Syllabus - The course presents the logical structure on which the foundations of the calculus have been based: construction of the real number system, mathematical induction, limits and continuity in precise formulation, functions of several variables, point sets in higher dimensions; uniform continuity, and elements of partial differentiation.
Prerequisite: MAT 303 or departmental approval

Course Syllabus