MATH Mathematics

MATH-0324: NCBO Mathematics for Business & Social Science

Credit Hours 3

The Non-Course Based Option (NCBO) supports students in developing skills, strategies, and reasoning needed to succeed in mathematics, including communication and appropriate use of technology. Topics include a study of relations and functions, inequalities, algebraic expressions and equations, (absolute value, polynomial, radical, rational), with a special emphasis on linear and quadratic expressions and equations. Students must be co-enrolled in a specific college level Mathematics for Business & Social Science Course (MATH-1324). The MATH-0324 course is not for academic credit, does not transfer and is not applicable toward any certificate/degree. Course enrollment requires a department granted petition – email math.express@ctcd.edu to be enrolled in this corequisite course.

MATH-0342: NCBO Elementary Statistical Methods

Credit Hours 3

The Non-Course Based Option (NCBO) supports students in developing skills, strategies, and reasoning needed to succeed in mathematics, including communication and appropriate use of technology. Topics include the study of numeracy and the real number system; algebraic concepts, notation, and reasoning; quantitative relationships; mathematical models; and problem solving. Students must be co-enrolled in a specific college level Elementary Statistical Methods Course (MATH-1342). The MATH-0342 NCBO course is not for academic credit, does not transfer and is not applicable toward any certificate/degree. Email math.express@ctcd.edu for help enrolling.

MATH-0413: NCBO College Algebra

Credit Hours 4

The Non-Course Based Option (NCBO) supports students in developing skills, strategies, and reasoning needed to succeed in mathematics, including communication and appropriate use of technology. Topics include a study of relations and functions, inequalities, algebraic expressions and equations (absolute value, polynomial, radical, rational), with a special emphasis on linear and quadratic expressions and equations. Students must be co-enrolled in a specific college level College Algebra Course (MATH-1314). The MATH-0413 course is not for academic credit, does not transfer and is not applicable toward any certificate/degree. Email math.express@ctcd.edu for help enrolling.

MATH-0414: NCBO College Algebra (Calculus Path)

Credit Hours 4

The Non-Course Based Option (NCBO) supports students in developing skills, strategies, and reasoning needed to succeed in mathematics, including communication and appropriate use of technology. Topics include a study of relations and functions, inequalities, algebraic expressions and equations (absolute value, polynomial, radical, rational), with a special emphasis on linear and quadratic expressions and equations. Students must be co-enrolled in a specific college level College Algebra (Calculus Path) Course (MATH-1414). The MATH-0414 course is not for academic credit, does not transfer and is not applicable toward any certificate/degree. Course enrollment requires a departmental granted petition -- email math.express@ctcd.edu to be enrolled in this corequisite course.

MATH-0432: NCBO Contemporary Mathematics

Credit Hours 4

The Non-Course Based Option (NCBO) course supports students in developing skills, strategies, and reasoning needed to succeed in mathematics, including communication and appropriate use of technology. Topics include the study of numeracy and the real number system; algebraic concepts, notation, and reasoning; quantitative relationships; mathematical models; and problem solving. Students must be co-enrolled in a specific college level Contemporary Mathematics Course (MATH-1332). The MATH-0432 NCBO course is not for academic credit, does not transfer and is not applicable toward any certificate/degree. Email math.express@ctcd.edu for help enrolling.

MATH-1314: College Algebra

Credit Hours 3
In depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices. The student will explore and gain a foundation with relations and functions.

MATH-1324: Mathematics for Business and Social Sciences

Credit Hours 3
The application of common algebraic functions, including polynomial, exponential, logarithmic, and rational, to problems in business, economics, and the social sciences are addressed. The applications include mathematics of finance, including simple and compound interest and annuities; systems of linear equations; matrices; linear programming; and probability, including expected value.

MATH-1325: Calculus for Business and Social Science

Credit Hours 3
This course is the basic study of limits and continuity, differentiation, optimization and graphing, and integration of elementary functions, with emphasis on applications in business, economics, and social sciences. This course is not a substitute for MATH-2413, Calculus I.

MATH-1332: Contemporary Mathematics (Quantitative Reasoning)

Credit Hours 3
Intended for Non-STEM (Science, Technology, Engineering, and Mathematics) majors. Topics include introductory treatments of sets and logic, financial mathematics, probability and statistics with appropriate applications. Number sense, proportional reasoning, estimation, technology, and communication should be embedded throughout the course. The course is for non-mathematics, non-science, and non-business students seeking mathematics credit for an AAS degree only. Additional topics may be covered.

MATH-1342: Elementary Statistical Methods

Credit Hours 3
Collection, analysis, presentation, and interpretation of data, and probability. Analysis includes descriptive statistics, correlation and regression, confidence intervals and hypothesis testing. Technology is embedded throughout the course. Students will gain a foundation in discrete probability distributions, normal distributions, and descriptive statistics including measures of central tendency and variation.

MATH-1350: Mathematics for Teachers I

Credit Hours 3
This course is intended to build or reinforce a foundation in fundamental mathematics concepts and skills. It includes the conceptual development of the following: sets, functions, numeration systems, number theory, and properties of the various number systems with an emphasis on problem solving and critical thinking.

MATH-1351: Mathematics for Teachers II

Credit Hours 3
This course is intended to build or reinforce a foundation in fundamental mathematics concepts and skills. It includes the concepts of geometry, measurement, probability, and statistics with an emphasis on problem solving and critical thinking.

MATH-1414: College Algebra (Calculus Path)

Credit Hours 4
In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices. Additional topics such as applications of relations and functions, introductory to trigonometry and conics.

MATH-2318: Linear Algebra

Credit Hours 3
Introduces and provides models for application of the concepts of vector algebra. Topics include finite dimensional vector spaces and their geometric significance; representing and solving systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion; matrices; determinants; linear transformations; quadratic forms; eigenvalues and eigenvector; and applications in science and engineering.

MATH-2320: Differential Equations

Credit Hours 3
Ordinary differential equations, including linear equations, systems of equations, equations with variable coefficients, existence and uniqueness of solutions, series solutions, singular points, transform methods, and boundary value problems, application of differential equations to real-world problems.

MATH-2412: Pre-Calculus Math

Credit Hours 4
In-depth combined study of algebra, trigonometry, and other topics for calculus readiness and includes the study of elementary functions and their graphs, including polynomial, rational, exponential, logarithmic, and trigonometric functions, as well as analytic geometry.

MATH-2413: Calculus I

Credit Hours 4
Limits and continuity; the Fundamental Theorem of Calculus; definition of the derivative of a function and techniques of differentiation; applications of the derivative to maximizing or minimizing a function; the chain rule, mean value theorem, and rate of change problems; curve sketching; definite and indefinite integration of algebraic, trigonometric, and transcendental functions, with an application to calculation of areas.

MATH-2414: Calculus II

Credit Hours 4
Differentiation and integration of transcendental functions; parametric equations and polar coordinates; techniques of integration; sequences and series; improper integrals.

MATH-2415: Calculus III

Credit Hours 4
Advanced topics in calculus, including vectors and vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals, and Jacobians; application of the line integral, including Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem.