Course Descriptions

### Math Course Sequences

- Liberal Arts (transfer programs): MTH 01 → MTH 05 → MTH 21 or MTH 23
- Mathematics, Science, Technology, and Business (transfer programs):

MTH 01 → MTH 05 → MTH 06 → MTH 30 or MTH 13 → etc. - Curricula Requiring MTH 12 (non-transfer): MTH 01 → MTH 05 → MTH12

See individual programs for course sequence details.

### Pathways Courses

- Required Core B: Mathematical & Quantitative Reasoning: MTH 21, MTH 23, MTH 30, MTH 31

### Each course number below is a link to a page with syllabi, review sheets, or handouts.

### BCC College Catalog

# Computer Science

### CSI 30 3 Hr 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 06*

Corequisites: ENG 02 and RDL 02 if required

Corequisites: ENG 02 and RDL 02 if required

### 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 if required ENG 02 and RDL 02*

Corequisites: MTH 31 or MTH 14

Corequisites: MTH 31 or MTH 14

### CSI 32 2 Lect 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 if required ENG 02 and RDL 02*

### CSI 33 2 Lect 2 Lab 3 Cr

Data Structures

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: CSI 32, and if required ENG 02 and RDL 02*

### CSI 35 3 Hr 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 if required ENG 02 and RDL 02*

# Mathematics

### MTH 01 4 Hr 0 Cr

Fundamental Concepts and Skills in Arithmetic and Algebra

Topics selected from basic operations in arithmetic, geometry, verbal problems whose solutions involve arithmetic processes, generalizations of the principles of arithmetic leading to the fundamental concepts of algebra. Elementary treatment of signed numbers and linear equations.

*Prerequisites: None. Refer to College Curricula Mathematics Requirements and COMPASS Cut-Off scores for Mathematics Placement.*

Corequisites: RDL 01, if required

Corequisites: RDL 01, if required

### MTH 05 6 Hr 0 Cr

Elementary Algebra

Signed numbers, evaluation of algebraic expressions, linear equations and their graphs, polynomials, factoring, radical expressions, quadratic equations.

*Prerequisites: MTH 01 or equivalent and if required, RDL 01. Refer to College Curricula Mathematics Requirements and COMPASS Cut-Off scores for Mathematics Placement.*

Corequisites: RDL 02, if required

Corequisites: RDL 02, if required

### MTH 06 6 Hr 0 Cr

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: MTH 05 or two years of high school mathematics consisting of algebra and geometry or equivalent, and RDL 02 if required.*

### MTH 12 3 Hr 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 as measured by the COMPASS exam, and ENG 02 and RDL 02 if required. Students who have not attained Math Proficiency should refer to College Curricula Mathematics Requirements and Compass Cut-Off Scores for Mathematics Placement.*

### MTH 13 4 Hr 3 Cr

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 06 or equivalent and if required, ENG 02 and RDL 02.*

### MTH 14 3 Hr 3 Cr

College Algebra and Introduction to Calculus

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

*Prerequisites: MTH 13 or equivalent and, if required, ENG 02 and RDL 02.*

### MTH 15 3 Hr 3 Cr

Calculus

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

*Prerequisites: MTH 13 or equivalent and, if required, ENG 02 and RDL 02.*

### MTH 21 3 Hr 3 Cr

Survey of Mathematics I

Designed for non-science liberal arts students. Emphasis on key concepts and structure of mathematics. Topics selected from decimal notation, computation in other bases, groups, sets, logic, elementary number theory, development of real number system, analytic geometry, linear programming, networks, complex numbers.

*Prerequisites: MTH 05 or equivalent and, if required, ENG 02 and RDL 02.*

**Required Core B: Mathematical & Quantitative Reasoning**

### MTH 23 3 Hr 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: MTH 05 or equivalent and, if required, ENG 02 and RDL 02.*

**Required Core B: Mathematical & Quantitative Reasoning**

### MTH 30 4 Hr 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 06 or equivalent and, if required, ENG 02 and RDL 02.*

**Required Core B: Mathematical & Quantitative Reasoning**

### MTH 31 6 Hr 4 Cr

Analytic Geometry and Calculus I

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

*Prerequisites: MTH 30 or equivalent and, if required, ENG 02 and RDL 02.*

**Required Core B: Mathematical & Quantitative Reasoning**

### MTH 32 6 Hr 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, if required, ENG 02 and RDL 02.*

### MTH 33 5 Hr 5 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, if required, ENG 02 and RDL 02.*

### MTH 34 4 Hr 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, if required, ENG 02 and RDL 02.*

### MTH 35 4 Hr 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, if required, ENG 02 and RDL 02.*

### MTH 42 4 Hr 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, if required, ENG 02 and RDL 02.*

### MTH 46 4 Hr 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, if required, ENG 02 and RDL 02.*