Degree Programs and Courses

Mathematics AS | Computer Science AS

Course Descriptions

Computer Science

CSI 30      3 Rec     3 Cr
Discrete Mathematics I

Introduction to mathematical methods in computer science. Topics include basic concepts of mathematical logic, set theory, elementary number theory, counting methods and probability, and informal proof.

Prerequisites: MTH 28  or 28.5
Corequisite: ENG 110, if required
Flexible Core E: Scientific World

CSI 31      2 Lect     2 Lab     3 Cr
Introduction to Computer Programming I

Introduction to computer systems and computer logic; techniques of structured programming; data representation; basic algorithm design and implementation in a modern structured language (e.g. C++); computer solutions to problems taken from engineering, science, physics, mathematics, business and other applications.

Prerequisites: CSI 30; and CUNY English Proficiency, or ENG 100 or 110, if required
Corequisite: MTH 31

CSI 32      2 Rec     2 Lab     3 Cr
Introduction to Computer Programming II

Continuation of CSI 31. Introduction to object-oriented programming including encapsulation, polymorphism, and inheritance; class templates; recursion and recursive analysis; analysis of algorithms, program style; documentation of programs; debugging; development of major projects.

Prerequisites: CSI 31; and CUNY English Proficiency, or ENG 100 or 110, if required

CSI 33      2 Rec     2 Lab     3 Cr
Data Structures

Introduction to data structures and algorithms for developing solutions to various computational problems for sorting and searching large collections of data. Topics include container classes, pointers and dynamic arrays, linked lists, stacks, queues, and trees.

Prerequisites: CSI 32 and CSI 35; and CUNY English Proficiency, or ENG 100 or 110, if required

CSI 35     2 Rec     2 Lab     3 Cr
Discrete Mathematics II

Introduction to the theory and application of abstract mathematical structures, the design and analysis of algorithms, mathematical modeling, and other disciplines. Topics selected from relations, partial orderings, graphs and trees, mathematical reasoning, and methods of proof.

Prerequisites: CSI 30 and MTH 31; and CUNY English Proficiency, or ENG 100 or 110, if required

Mathematics

MTH 06      6 Rec     0 Cr (not offered after Summer 2022)
Intermediate Algebra and Trigonometry

Topics selected from real and complex numbers, function concept, coordinate geometry, linear and quadratic equations, systems of equations, geometry, elements of trigonometry.

Prerequisites: None. Students with Math Proficiency Index less than 40 are strongly encouraged to enroll in Math Start or CUNY Start, before taking college-level mathematics courses.

MTH 12      3 Rec     3 Cr 
Introduction to Mathematical Thought

Topics selected from probability, statistics, logic, set theory, geometry, matrices, number system structures. (Not recommended for transfer curricula, and will not be accepted for credit in the Liberal Arts curriculum.)

Prerequisites: CUNY Math Proficiency

MTH 13      4 Rec     3 Cr (not offered after Spring 2023)
Trigonometry and College Algebra

Topics selected from vectors, trigonometry, variation, logarithms, complex numbers and DeMoivre’s theorem, theory of equations, and system of equations.

Prerequisites: MTH 28 or 28.5

MTH 14      3 Rec     3 Cr (not offered after Spring 2023)
College Algebra and Introduction to Calculus

Analytic geometry, the derivative and its applications, differentiation of transcendental functions.

Prerequisites: MTH 13 or equivalent; and CUNY English Proficiency, or ENG 100 or 110, if required

MTH 15      3 Rec     3 Cr (not offered after Spring 2023)
Calculus

The integral and its applications, methods of integration, elementary differential equations, expansion of functions in series.

Prerequisites: MTH 14 or equivalent; and CUNY English Proficiency, or ENG 100 or 110, if required

MTH 21      3 Rec     3 Cr
A Mathematical World

This course aims to introduce liberal arts students to the important mathematical concepts of sets, numbers, probability, statistics, and geometry. Students will learn how to analyze quantitative information, and how to make inferences and predictions about events around us. Further topics covered include financial management and linear programming.

Prerequisites: CUNY Math Proficiency
Required Core B: Mathematical & Quantitative Reasoning

MTH 21.5      5 Rec     3 Cr
A Mathematical World with Algebra

This course aims to introduce liberal arts students to the important mathematical concepts of sets, numbers, probability, statistics, and geometry. Students will learn how to analyze quantitative information, and how to make inferences and predictions about events around us. Further topics covered include financial management and linear programming. The following material from arithmetic and elementary algebra has been integrated into the course to provide the necessary background: fractions, decimals, percentages, radicals, functions, polynomials, linear and quadratic equations, literal equations, systems of equations, inequalities in one and two variables. This course is equivalent to MTH 21 A Mathematical World in academic content for the purposes of transfer and grade replacement.

Prerequisites: None. Students with Math Proficiency Index less than 40 are strongly encouraged to enroll in Math Start or CUNY Start before taking college-level mathematics courses.
Required Core B: Mathematical & Quantitative Reasoning

MTH 23      3 Rec     3 Cr
Probability and Statistics

Organization and presentation of data, measures of central tendency and variation, correlation and regression, elementary probability, the binomial distribution.

Prerequisites: CUNY Math Proficiency
Required Core B: Mathematical & Quantitative Reasoning

MTH 23.5      5 Rec     3 Cr
Probability and Statistics with Algebra

This is a probability and statistics course with elementary algebra topics integrated to support the statistics. This course is equivalent to MTH 23 for grade replacement purposes. The probability and statistic topics are organization and presentation of data, measures of central tendency and variation, correlation and regression, elementary probability, the binomial distribution.

Prerequisites: None. Students with Math Proficiency Index less than 40 are strongly encouraged to enroll in Math Start or CUNY Start, before taking college-level mathematics courses.
Required Core B: Mathematical & Quantitative Reasoning

MTH 28      4 Rec     3 Cr
College Algebra and Elementary Trigonometry

Fundamentals of elementary, intermediate and college algebra essential for the study of pre-calculus and calculus. Topics include linear equations, polynomials, factoring, roots and radicals, rational expressions, quadratic equations, the function concept, and the trigonometric ratios.

Prerequisites: CUNY Math Proficiency AND at least one of the following criteria:
1. high school math GPA of at least 70 and successful completion of a course beyond Algebra 1; or
2. New York State Regents Trigonometry Score of at least 65; or
3. New York State Regents Common Core Algebra 2 Score of at least 65
Required Core B: Mathematical & Quantitative Reasoning

MTH 28.5      6 Rec     3 Cr
College Algebra and Elementary Trigonometry (Corequisite)

Fundamentals of elementary, intermediate and college algebra essential for the study of pre-calculus and calculus. Topics include linear equations, polynomials, factoring, roots and radicals, rational expressions, quadratic equations, the function concept, and the trigonometric ratios.
This course is equivalent to MTH 28 in academic content and for the purposes of transfer and grade replacement.

Prerequisites: None. Students with Math Proficiency Index less than 40 are strongly encouraged to enroll in Math Start or CUNY Start before taking college-level mathematics courses.
This course is open to students who do not meet criteria for MTH 28.
Required Core B: Mathematical & Quantitative Reasoning

MTH 30      5 Rec     4 Cr
Pre-Calculus Mathematics

The relation between a function and its graph, composition and inversion of functions, polynomial, rational, exponential and logarithmic functions, trigonometry.

Prerequisites: MTH 28 or equivalent
Required Core B: Mathematical & Quantitative Reasoning
Flexible Core E: Scientific World
This course can be applied to only one Pathways category.

MTH 31      6 Rec     4 Cr
Analytic Geometry and Calculus I

Limits, rates of change, differentiation and anti-differentiation of algebraic and transcendental functions, applications, integrals, curve sketching. For Mathematics, Computer Science and Engineering Science majors, or for Liberal Arts and Sciences students planning to major in a physical science.

Prerequisites: MTH 30 or equivalent; and CUNY English Proficiency, or ENG 100 or 110, if required
Required Core B: Mathematical & Quantitative Reasoning

MTH 32      6 Rec     4 Cr
Analytic Geometry and Calculus II

Differentiation and integration of transcendental functions, hyperbolic functions, applications of the definite integral; parametric equations, mean value theorems, polar coordinates, plane analytic geometry.

Prerequisites: MTH 31 or equivalent; and CUNY English Proficiency, or ENG 100 or 110, if required

MTH 33      5 Rec     4 Cr
Analytic Geometry and Calculus III

Vectors, applications of vectors to analytic geometry and calculus, partial differentiation, multiple integrals, volumes and surface area, infinite series, applications.

Prerequisites: MTH 32 or equivalent; and CUNY English Proficiency, or ENG 100 or 110, if required

MTH 34      4 Rec     4 Cr
Differential Equations and Selected Topics in Advanced Calculus

Methods of solving ordinary differential equations; selected topics from among the following: hyperbolic functions, power series, Fourier series, gamma functions, Bessel functions, problems of motion, electric circuits, damped and forced vibrations, Laplace transform.

Prerequisites: MTH 33 or equivalent; and CUNY English Proficiency, or ENG 100 or 110, if required

MTH 35      4 Rec     4 Cr
Selected Topics in Advanced Calculus and Linear Algebra

Matrices, introduction to linear algebra and vector analysis, integral theorems of Gauss, Green and Stokes; applications.

Prerequisites: MTH 33 or equivalent; and CUNY English Proficiency, or ENG 100 or 110, if required

MTH 37      4 Rec     4 Cr
Elements of Calculus and Statistics for Biology Students

Ordinary differential equations and statistics and their applications, such as models of exponential growth and logistical models, steady-state solutions and the stability of solutions of simplest ordinary elementary differential equations and systems of equations, probability rules, data classification, graphical presentation of statistical data, measures of central tendency, regression analysis, examples of discrete (binomial) and continuous (normal) distributions, introduction to construction of confidence intervals and hypothesis testing. More advanced topics such as the Law of Large Numbers and the Central Limit Theorem that require some calculus background.

Prerequisites: MTH 31 or placement by the department

MTH 42      4 Rec     4 Cr
Linear Algebra

Vector spaces, basis and dimension, matrices, linear transformations, determinants, solution of systems of linear equations, eigenvalues and eigenvectors.

Prerequisites: MTH 32 or equivalent; and CUNY English Proficiency, or ENG 100 or 110, if required

MTH 44   4 rec 4 cr
Vector Analysis

Differential geometry of curves, line integrals, surface integrals, change of variables, Green’s theorem, Stokes’ theorem, Gauss’s Theorem.

Prerequisites: MTH 33 or equivalent; and CUNY English Proficiency, or ENG 100 or 110, if required

MTH 46      4 Rec     4 Cr
Abstract Algebra

Properties of integers, permutations, groups, alternating groups, groups of symmetries, quotient groups, sets, mappings, isomorphisms, homomorphisms, rings, fields, polynomials.

Prerequisites: MTH 42 or equivalent; and CUNY English Proficiency, or ENG 100 or 110, if required

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