## Mathematics

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.*

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.*

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.

*Meets NCTC Core Curriculum Requirement*

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.

Course may 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.*

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*

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. *

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 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.*

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*

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.

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, and 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.

Last updated: 03/19/2018