## Mathematics

The 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. This introductory course includes a general overview of basic arithmetic: fractions, decimals, and percent. Other topics include algebraic concepts, integers, solving equations, linear equations, graphing and polynomials. Simple geometric concepts are also discussed. This course is designed for those students with little or no algebra background.

*This course does not count toward graduation at NCTC. *

This 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. This course also includes basic algebraic concepts and notations, algebraic expressions and equations, factoring polynomials and graphing. Some algebra is required.

*This course does not count toward graduation at NCTC.*

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.

In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices. Additional topics such as sequences, series, probability, and conics may be included. This course is intended for STEM (Science, Technology, Engineering, and Mathematics) majors, as well as students pursuing some Business and Education programs. It is a preparation for advanced coursework in mathematics.

*Meets NCTC Core Curriculum Requirement*

In-depth study and applications of trigonometry including definitions, identities, inverse functions, solutions of equations,graphing, and solving triangles. Additional topics such as vectors, polar coordinates and parametric equations may be included.

*Meets NCTC Core Curriculum Requirement*

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.

*Meets NCTC Core Curriculum Requirement*

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.

*Meets NCTC Core Curriculum Requirement*

General mathematics course, 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. Additional topics may be covered.

*Meets NCTC Core Curriculum Requirements*

Collection, analysis, presentation and interpretation of data, and probability. Analysis includes descriptive statistics, correlation and regression, confidence intervals and hypothesis testing. Use of appropriate technology is recommended.

*Meets NCTC Core Curriculum Requirement*

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.

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.

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.

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

In-depth combined study of algebra, trigonometry, and other topics for calculus readiness.

*Meets NCTC Core Curriculum Requirement*

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.

*Meets NCTC Core Curriculum Requirement.*

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

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

The NCBM 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.

This course is a developmental education intervention and supports topics in MATH 1332 or MATH 1342. Course may include basic study skills such as note-taking, time management, learning styles, math anxiety, and test-taking strategies.

Must be taken concurrently with a MATH 1332 or MATH 1342 course.

NCBM 0100 indicates an intervention paired with any section of MATH1332 or 1342. An NCBM course specifically tied to a MATH 1332 or 1342 course will be indicated by the last two digits (e.g., MATH 13**32** + NCBM 01**32**).

*This course does not count toward graduation at NCTC.*

The 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.

This course is a developmental education intervention and supports topics in MATH 1332, MATH 1342, MATH 1314, or MATH 1324. Course may include basic study skills such as note-taking, time management, learning styles, math anxiety, and test-taking strategies.

Must be taken concurrently with MATH 1332, MATH 1342, MATH 1314, or MATH 1324

The two hour support will be paired with a specific course, indicated by the last two digits (e.g., MATH 13**14** + NCBM 02**14**).

*This course does not count toward graduation at NCTC.*

The BASE 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. This intervention is designed specifically for students assessed at BASE levels 3-4 and must be part of a student’s co-enrollment (co-requisite) enrollment:

- as a mainstreamed intensifier providing contact hours for additional, just-in-time instructional support for the student’s success in the developmental math course, or
- as a contextualized and/or integrated basic skills instructional support for a Career/Technical Education course.

This course is a BASE developmental education intervention and supports topics in mathematics such as fractions, integers, decimals, percentages, algebraic concepts, solving equations, and polynomials. This course is designed for students with little algebraic background and will be paired with MATH 0305. The course may also include basic study skills such as note-taking, time management, learning styles, math anxiety, and test-taking strategies.

*This course does not count toward graduation at NCTC.*

Last updated: 02/11/2019