NC State Courses (MTH)

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A course designed to provide a review of mathematical skills for students with a limited background in mathematics or for students who have been away from classroom mathematics for a period of time. The course consists of the following: basic operations involving whole numbers, common and decimal fractions; ratio and proportion; percentage; measurement including American and metric; perimeters, areas, and volumes of geometric figures; square root; and descriptive statistics. Credit does not apply to any associate degree program. Mandatory Placement.

A transition course designed to bridge the gap between basic mathematics and algebra. The course consists of addition, subtraction, multiplication, and division of signed whole numbers, fractions, and decimals, as well as solving basic equations, simplifying polynomials, and percents. Credit does not apply to any associate degree. Successful completion in MTH 100 or Compass numerical score between 41 and 60. Mandatory math placement required.

A course for students who need some basic mathematics development in the fundamentals of algebra before taking MTH 121 (Technical Math I), MTH 130 (College Algebra), or CHE 100 (Introductory Chemistry). The course consists of a brief review of arithmetic concepts, signed numbers, equations and inequalities, polynomials, factoring, rational expressions and equations, coordinate graphing, systems of equations, and simplification of radicals. Successful completion of MTH 102 or a Compass numerical score of 61 or higher. Credit does not apply to any associate degree program. Mandatory math placement required.

Begins with basic algebra in solving typical business word problems. Other major topics include the calculation of trade discounts, markup and markdown and perishable merchandise, simple and compound interest, future and present value, discounting promissory notes, and calculating annuities. The course ends with arithmetic and geometric mean applications, business applications for elementary statistics, and internal rate of return. Successful completion of MTH 103 or Compass numerical score of 61 or higher and algebra score of 31 or higher. Mandatory math placement required.

A variety of math concepts and related computer applications. The course includes number bases (binary, octal, decimal, and hexadecimal), modular arithmetic, logic, decision tables, truth tables, set theory, Venn diagrams, logic constructs, some algebra topics, functions and graphs, Boolean algebra, arithmetic and geometric means and progressions, and descriptive statistics. Successful completion in MTH 121 or completion of a higher mathematics course or a COMPASS algebra score of 70 or higher. Mandatory math placement required.

A study of the basic computational techniques and selected problems using a hand-held calculator/computer, significant digits, unit conversions, roots, radicals, basic algebraic operations, equations solving, formula rearrangement, stated problems, graphical solutions of equations, solutions of simultaneous linear equations, geometry definitions and formulas, linear interpolation, algebraic factoring, and combining fractional algebraic expressions. Successful completion in MTH103 or a Compass algebra score of 31 or higher. Mandatory math placement required.

A study of basic trigonometric functions; solutions of right triangles and stated trig. problems, vector addition using graphical, component, and oblique triangle techniques; applications of radian measure; applications of trig. graphs to show simple harmonic motion; alternating current and voltage; the j operator; complex numbers; applications of complex numbers to an RLC-AC series circuit; common and natural logarithms; log equations; and log graphs. Successful completion of MTH 121 required.

A study of frequency distributions, measures of central tendency, standard deviation, linear regression, ratio, proportion, variation, the binomial theorem, limits, differential calculus, related rates, maxima-minima, integral calculus, the definite and indefinite integral, area under a curve, and volumes by integration. Successful completion of MTH 122 is required.

A study of algebraic operations and applications including: i) polynomial operations, rational expressions, exponents, radicals; ii) linear and quadratic equations, inequalities, absolute value applications; iii) graphs of elementary functions and non-functions including inverse functions, combining functions, translating and transforming functions; iv) study of polynomial functions, including The Fundamental Theorem of Algebra, zeros of polynomials, rational functions, partial fractions; v) exponential and logarithmic functions including graphs and applications; vi) Gauss-Jordan elimination and Cramer's Rule. Successful completion in MTH 121 or a Compass algebra score of 70 or higher. Mandatory math placement required.

A study of trigonometric functions, their graphs, inverse functions, trigonometric identities, equations and applications. Successful completion in MTH 130.

A study of polar coordinates and their applications (including DeMoivre's Theorem), vectors, the conics, parametric equations, sequences/series, mathematical induction, The Binomial Theorem, and counting methods.

A study of analytic geometry, limits, continuity, the derivative, basic differentiation rules, rates of change, the product and quotient rules, higher-order derivatives, the chain rule, implicit differentiation, related rates, extrema on an interval, Rolle‘s Theorem and the Mean Value Theorem. Function analysis including increasing and decreasing functions and the first derivative test, concavity and the second derivative test, limits at infinity and curve sketching. Applications include optimization problems, Newton‘s method, differentials, and business and economic applications. TAG course.

A study of antiderivatives and indefinite integration, areas, Riemann Sums, definite integrals, the Fundamental Theorem of Calculus, integration by substitution, numerical integration, the natural logarithmic functions: differentiation and integration, inverse functions, exponential functions: differentiation and integration, bases other than e and applications, differential equations: growth and decay, inverse trigonometric functions: differentiation and integration, hyperbolic functions, area of a region between two curves, volume: disk and shell methods, arc length and surfaces of revolution, work, fluid pressure and fluid force, moments, centers of mass, and centroids. Successful completion in MTH 141 required. TAG course.

Topics include: Basic integration rules, integration by parts, trigonometric integrals, trigonometric substitution, partial fractions, integration by tables and other integration techniques, indeterminate forms and L‘Hopital‘s Rule, improper integrals, sequences, series and convergence, the integral test and p-series, comparison of series, alternating series, the ratio and root tests, Taylor polynomials and approximations, power series, representation of functions by power series, Taylor and Maclaurin series, parabolas, ellipses, hyperbolas, rotation and the general second degree equation, plane curves and parametric equations, polar equations and calculus, area and arc length in polar coordinates, polar equations of conics, and Kepler‘s Laws. Successful completion in MTH 142 is required. TAG course.

A study of vector-valued functions, acceleration, tangent vectors and normal vectors, arc lengths, curvature, partial derivatives, differentials, chain rules for functions of several variables, directional derivatives and gradients, tangent planes, and normal lines. Successful completion in MTH 143 is required.

A study of basic techniques for solving Ordinary Differential Equations and an introduction to theoretical topics including existence and uniqueness of solutions, linear systems, stability of solution, and phase plane analysis.

A study of basic geometry with application of geometric concepts to the solution of practical problems. An introduction to trigonometry with emphasis on analysis of industrial problems utilizing trigonometric solutions by scientific calculator. Successful completion in MTH 121, or a higher level math course, is required.

Allows a specific topic in mathematics to be presented that is not normally covered in the current Mathematics curriculum. Credit hours and topics will be pre-approved by the academic administration.