# Description

MAT 10 BASIC MATHEMATICS SKILLS 0 credit (4.5 equated), 4.5 hours
Pre/Corequisite: ESL 025 in English, SPA 121 in Spanish
This course provides the basic arithmetic skills that will be utilized in all subsequent mathematics and science courses. Topics: operations with whole numbers, fractions, decimals, ratio, proportion and percent, scientific notation, the metric system, word problems, and applications.

Syllabus:[ PDF ]
MAT 15 INTENSIVE INTEGRATED ARITHMETIC/ALGEBRA 0 credit (6.0 equated), 6.0 hours
Pre/Corequisite: Placement score of 25 or above on the COMPASS M1
This intensive course is designed for students who have a high fail on the Compass exam, to prepare them for college level mathematics and in one semester to pass the final exams for pre-algebra and algebra. The aim of this course is to integrate basic skills in arithmetic and algebra while developing students' understanding of algebraic relationships and strategies of problem solving. Topics from arithmetic include: real numbers, number line and the concepts of ratio, proportion, percent, and measurement system, Topics from algebra include: signed numbers, algebraic and exponential expressions; linear equations; applications or word problems; polynomials, factoring and related concepts; linear equations and their graphs and systems; roots and radicals.

Syllabus:[ PDF ]
MAT 20 ELEMENTARY ALGEBRA 0 credit (4.5 equated/billable), 4.5 hours
Prerequisite: MAT 10 OR initial placement through Compass
Pre/Corequisite: ESL 025 in English, SPA 121 in Spanish
This course provides basic skills in elementary algebra. Topics: operations with real numbers, operations with polynomials, powers with integral exponents, linear equations, simultaneous linear equations, and the Cartesian plane.

Syllabus (in English): [ PDF ]

Sample CEAFE : [ FORM C ]   [ FORM D ]   [ FORM E ]

Syllabus (in Spanish):[ PDF ]
MAT 100 INTRODUCTION COLLEGE MATHEMATICSI 3 credits, 3 hours
Prerequisite: Passing score on the Compass
This course provides skills in finite mathematics. Topics: set theory, symbolic logic, probability, systems of numeration, basic modular arithmatic and the metric system.

Syllabus: [ PDF ]
MAT 105 MATHEMATICS FOR ALLIED HEALTH SCIENCES 3 credits, 3 hours
Prerequisite: Passing Score on the Compass/CMAT Test

This course is designed for Radiography students and will aid them in applying mathematical concepts to “on-the-job” situations as well as in their development of proportional thinking. The course will include an integrated review of mathematical skills and concepts required in radiography, in particular the topics pertaining to formation and manipulation of analog and digital images. Units of measurements, formula equations, proportionality, inverse proportionality, direct square and inverse square proportionality. Proportionality and involved proportional thinking will have three representatives: algebraic, geometric and percent. Each particular formula equation originating in radiology will be generalized to at least on other domain. For example, together with Coulombs force, there also will be examples of gravitational force which has the same algebraic structure but a different physical meaning.

Syllabus: [ PDF ]
MAT 110* NUMBER THEORY 3 credits, 4.5 hours
Prerequisite: MAT 100
Pre/Corequisite: ESL 35
The student will verify some fundamental properties of natural numbers, express numbers in different bases, find the greatest common divisors of two numbers by Euclid's algorithm, factor an integer by various methods such as Fermat's and Euler's methods, and become acquainted with several solved and unsolved problems in number theory. The student will find the number of divisors of a natural number, the sum of the divisors, the product of the divisors, and the means of the divisors; become acquainted with perfect, multiple perfect, amicable and sociable numbers; analyze various theorems related to perfect numbers; study Euler's function; solve simple diophantine equations; and study congruences.
MAT 115 QUANTITATIVE REASONING (QR) 3 credits, 3 hours
Prerequisite: MAT020/PASSING THE PLACEMENT TEST
Pre/Corequisite: ESL/ENG 091
This course is designed to develop quantitative reasoning and critical thinking skills. Topics include logic and problem solving; quantitative information in everyday life; probability and statistics; modeling and further applications to address areas of contemporary interest.

Syllabus: [ PDF ]
MAT 120 INTRODUCTION TO PROBABILITY & STATISTICS 3 credits, 4.5 hours
Prerequisite: Passing score on the Compass
Pre/Corequisite: ESL 35

The student will identify, define, and compute the measures of central tendency and dispersion; develop frequency distributions and related histograms; determine the level of correlation; and draw inferences from regression lines.  The student will also solve problems involving sample spaces, counting techniques, and mathematical expectation; determine the probability of normally distributed events through use of tables; conduct hypothesis testing; and determine confidence intervals.

Syllabus:[ PDF ]
MAT 130 COMPUTER LITERACY 3 credits, 3 hours
Prerequisite: Passing score on the Compass
Pre/Corequisite: ENG 91 or ESL 91
This course provides a historical development of computers. Students will have hands-on experience with a microcomputer. They will enter and run prepared programs.

Syllabus:[ PDF ]
MAT 140* INTRODUCTION TO COMPUTER SCIENCE 3 credits, 4.5 hours
Prerequisite: Passing score on the Compass
Pre/Corequisite: ESL 35
The student will study the following as they relate to computers: the algorithm, its expression as a flowchart, a computer model and a computer language (BASIC), computation of a data organization, arithmetic expressions, compound conditions, branching, arrays, and looping. The student will also study the following as they relate to computers: approximations, functions and procedures, numerical applications, roots of equations, maxima and minima, areas, simultaneous equations, averages and deviation from the average.
MAT 150 COLLEGE ALGEBRA WITH TRIGONOMETRIC FUNCTIONS 4 credits (4.0 equated), 4.0 hours
Prerequisite: Passing M1 & M2 OR Math 20 OR placement via the CUNY Common Departmental Final
Pre/Corequisite: ESL 25 in English, SPA 121 in Spanish
This course introduces the concept of mathematical functions in preparation for further studies in pre-calculus and calculus. The course content includes an in-depth treatment of the following topics: polynomial functions and factoring techniques, rational functions and equations, radical functions and equations, complex numbers, quadratic equations, graphs of quadratic functions, applications to geometry, conic sections and an introduction to the study of trigonometric functions. This course is appropriate for liberal arts students as well as STEM majors.

Syllabus: [ PDF ]
MAT 160 PRE-CALCULUS 4 credits, 4.5 hours / .5 hr lab
Prerequisite: MAT 150 AND passing score on the Compass or initial placement through the Compass
This course provides essential concepts for the study of calculus. Topics: concepts in analytic geometry; algebraic functions; transcendental functions, such as exponential, logarithmic, and trigonometric functions; graph analysis; and applications.

Syllabus: [ PDF ]
MAT 215 MODERN PROGRAMMING LANGUAGE 3 credits, 3 hours
Prerequisite: MAT 160
Pre/Corequisite: ESL 35
This course provides an introduction to problem solving methods and algorithm development through the study of the program, control structures, and data structures of the C++ programming language. The main aspects of the course include: the concepts of procedural and object-oriented programming, algorithm design, control structures in C++, functions and recursions, arrays, pointers, characters and strings, structured data, file operations, classes.

Syllabus:[ PDF ]
MAT 217 LINEAR ALGEBRA 4 credits, 4 hours
Prerequisite: MAT 210
Pre/Corequisite: MAT 220
This course introduces the concepts and methods of solution of systems of linear equations with an arbitrary number of equations and variables by using both the elimination and matrix methods; algebra of matrices; determinants; vector spaces and subspaces, norm of a vector and distance between vectors; linear dependence and independence; basis and dimension of vector spaces, orthogonal and orthonormal bases, change of basis; linear transformations and their matrices, kernel and image; real inner products, eigenvalues and eigenvectors; diagonalization of symmetric matrices and its application to quadratic forms. During the course, students will be trained to use technology to solve linear algebraic problems. The technological means include Mathematica, Maple, Matlab, Sage, or graphing calculator TI-89 or equivalent.

Syllabus:[ PDF ]
MAT 210* CALCULUS I 4 credits, 6 hours
Prerequisite: MAT 160

This course provides skills in calculus in one real variable.  Topics:  limits, continuity, differentiation of powers, polynomial, trigonometric and exponential, logarithmic and inverse trigonometric functions; applications of differentiation; maximum-minimum problems; curve sketching; antiderivatives; indefinite and definite integrals.

Syllabus:[ PDF ]
MAT 220* CALCULUS I I 4 credits, 4 hours
Prerequisite: MAT 210

This course develops further skills in differential and integral calculus.  Topics: definite integral and its properties; numerical integration; techniques of integration; applications of definite integral to: areas between curves, volume of solids of revolution, arc length and surfaces; sequences and infinite series; tests for convergence; Taylor and Maclaurin series and applications.

Syllabus:[ PDF ]
MAT 310* CALCULUS I I I 4 credits, 4 hours
Prerequisite: MAT 220
This course provides skills in geometry in the plane and space, and integral calculus in several variables.  Topics:  vectors; solid analytic geometry; polar cylindrical and spherical coordinates; conic sections and quadric surfaces; partial derivatives; multiple integrals with applications; vector fields and line integrals; Green's theorem, Stokes' theorem and the Divergence theorem

Syllabus:[ PDF ]
MAT 320 LINEAR ALGEBRA WITH VECTOR ANALYSIS 3 credits, 3 hours
Prerequisite: MAT 310
The student will study vector calculus, matrix algebra, system of homogeneous and non-homogeneous linear equations, concepts of vector space, subspace, basis and dimension of a vector space, linear transformation, and Eigenvalues and Eigenvectors for a linear transformation.

Syllabus:[ PDF ]
MAT 360* DIFFERENTIAL EQUATIONS 3 credits, 3 hours
Prerequisite: MAT 310
The student will formulate and solve differential equations of the first and second order. She/he will apply these methods to related practical problems. The student will formulate and solve linear differential equations with constant coefficients and apply these techniques to practical problems that give rise to such equations.

Syllabus:[ PDF ]
ENGR 204 ELECTRICAL CIRCUITS 3 credits, 3 hours
Pre/Corequisite: PHY 210, MAT 310
This is an introductory course to electrical circuit analysis. Topics include: circuit elements, their voltage-current relations, basic law of circuit analysis, methods of circuit analysis, circuit theorems, operational ampplifiers, capacitors and inductor, sinusoids, phasors and sinusoidal steady state analysis.

Syllabus:PDF ]