MATH Mathematics (T)

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.

Prerequisites: TSIA2 Diagnostic of 5 or successful completion of DSMA-0100/DSMA-0300 BASE NCBO course.

Corequisites: MATH-1324

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.

Corequisites: MATH-1342

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.

Prerequisites: TSIA2 Diagnostic of 5 or successful completion of DSMA-0100/DSMA-0300 BASE NCBO course.

Corequisites: MATH-1314

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.

Prerequisites: TSIA2 Diagnostic of 5 or successful completion of DSMA-0100/DSMA-0300 BASE NCBO course.

Corequisites: MATH-1414

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.

Prerequisites: TSIA2 Diagnostic of 4 or 5 or successful completion of DSMA-0100/DSMA-0300 BASE NCBO course.

Corequisites: MATH-1332

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.

Prerequisites: Appropriate placement score or TSI exemption or completion of the appropriate level of Developmental Studies course or concurrent enrollment in MATH-0413 NCBO College Algebra.

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.

Prerequisites: Appropriate placement score or TSI exemption or completion of the appropriate level of Developmental Studies courses or concurrent enrollment in MATH-0324 NCBO Mathematics for Business & Social Science.

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.

Prerequisites: MATH-1324 or MATH-1414 with a grade of “C” or above.

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.

Prerequisites: Appropriate placement score or TSI exemption or completion of the appropriate level of Developmental Studies course or concurrent enrollment in MATH-0432 NCBO Contemporary Mathematics.

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.

Prerequisites: Appropriate placement score or TSI exemption or completion of the appropriate level of Developmental Studies course or concurrent enrollment in MATH-0342 NCBO Elementary Statistical Methods.

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.

Prerequisites: MATH-1314 or MATH-1414 with a grade of “C” or above.

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.

Prerequisites: MATH-1314 or MATH-1414 with a grade of “C” or above.

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.

Prerequisites: Appropriate placement score or TSI exemption or completion of the appropriate level of Developmental Studies courses or concurrent enrollment in MATH-0414 NCBO College Algebra (Calculus Path)

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.

Prerequisites: MATH-2414 with a grade of “C” or above within the last 5 years.

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.

Prerequisites: MATH-2414 with a grade of “C” or above within the last 5 years.

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.

Prerequisites: MATH-1414 with a grade of “C” or above within the last 5 years.

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.

Prerequisites: MATH-2412 with a grade of “C” or above within the last 5 years.

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

Prerequisites: MATH-2413 with a grade of “C” or above within the last 5 years.

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.

Prerequisites: MATH-2414 with a grade of “C” or above within the last 5 years.