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NC State Courses (MTH)
The North Central State College catalog is neither a contract nor an offer to contract. North Central State College reserves the right to make changes in any material contained herein as deemed necessary without notice.
MTH100 - INTRODUCTORY MATHEMATICS
5 credit hours; 5 class hours
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 awhile. 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 statistics. Credit does not apply to any associate degree program. Mandatory Placement.
Quarters available: Day - F, W, Sp, Su; Evening - F, W, Sp, Su
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Course Syllabus
MTH102 - PREALGEBRA
5 credit hours; 5 class hours
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, polynomials, and percents. Credit does not apply to any associate degree. Successful completion in MTH 100 or Compass numerical score between 41-60. Mandatory math placement required.
Quarters available: Day - F, W, Sp, Su; Evening - F, W, Sp, Su
Prerequisite: MTH100 (minimum grade of C- required)
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Course Syllabus
MTH103 - INTRODUCTION TO ALGEBRA
5 credit hours; 5 class hours
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 in MTH102, or a Compass numerical score of 61 or higher. Credit does not apply to any associate degree program. Mandatory math placement required.
Quarters available: Day - F, W, Sp, Su; Evening - F, W, Sp, Su
Prerequisite: MTH102 (minimum grade of C- required)
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Course Syllabus
MTH110 - BUSINESS MATHEMATICS
4 credit hours; 4 class hours
This course begins with basic algebra in solving typical business word problems. Other major topics include the calculation of trade discounts, markup and markdown of perishable merchandise, simple and compound interest, future and present value of cash flow, discounting promissory notes, and calculating annuities. The course ends with an overview of the mathematics of stock and bond transactions, as well as business applications for elementary statistics. Successful completion of MTH 102 or Compass numerical score of 68 or higher. Mandatory Math Placement required.
Quarters available: Day - F, W, Sp, Su; Evening - F, W, Sp, Su
Prerequisite: MTH103 (minimum grade of C- required) OR TST005 (minimum grade of C- required)
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Course Syllabus
MTH119 - CIS MATH
4 credit hours; 4 class hours
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 contructs, 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 score of AR 70 or higher. Mandatory math placement required.
Quarters available: Day - Sp; Evening - Sp, Su
Prerequisite: MTH121 (minimum grade of C- required)
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Course Syllabus
MTH121 - TECHNICAL MATHEMATICS I
4 credit hours; 4 class hours
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. Sucessful completion in MTH103 or a Compass algebra score of AR 31 or higher. Mandatory math placement required.
Quarters available: Day - F, W, Sp, Su; Evening - F, W, Sp, Su
Prerequisite: MTH103 (minimum grade of C- required)
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Course Syllabus
MTH122 - TECHNICAL MATHEMATICS II
4 credit hours; 4 class hours
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.
Quarters available: Day - W; Evening - W, other quarters on demand
Prerequisite: MTH121 (minimum grade of C- required)
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Course Syllabus
MTH123 - TECHNICAL MATHEMATICS III
4 credit hours; 4 class hours
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. Sucessful completion of MTH 122 is required.
Quarters available: Day - Sp; Evening - Sp, other quarters on demand
Prerequisite: MTH122 (minimum grade of C- required)
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Course Syllabus
MTH130 - COLLEGE ALGEBRA
5 credit hours; 5 class hours
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.
Quarters available: Day - F; Evening - F
Prerequisite: MTH121 (minimum grade of C- required)
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Course Syllabus
MTH131 - COLLEGE TRIGONOMETRIC AND ANALYTIC GEOMETRY
5 credit hours; 5 class hours
A study of trigonometric functions, their graphs, and inverse functions; trigonometric identities. Successful completion in MTH 130.
Quarters available: Day - Offered based on need; Evening - Offered based on need
Prerequisite: MTH130 (minimum grade of C- required)
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Course Syllabus
MTH132 - ANALYTIC AND PRE-CALCULUS TOPICS
5 credit hours; 5 class hours
A study of polar coordinates and their applications(including De Moivre's Theorem), vectors, the conics, parametric equations, sequences/series, mathematical induction, The Binomial Theorem, and counting methods.
Quarters available: Day - Offered based on need; Evening - Offered based on need
Prerequisite: MTH131 (minimum grade of C- required)
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Course Syllabus
MTH141 - CALCULUS AND ANALYTIC GEOMETRY I
5 credit hours; 5 class hours
A study of limits, continuity, derivatives, basic differentiation rules and rates of change, product and quotient rules and higher-order derivatives, the chain rule, implicit differentiation, related rates, extrema, Rolle's Theorem and the Mean Value Theorem, curve sketching, differentiation of trigonometric functions, inverse trigonometric functions, logarithmic functions, and exponential functions. Sucessful completion of MTH123, or a Compass algebra score of 70 or above. Mandatory math placement required.
Quarters available: Day - Offered based on need; Evening - Offered based on need
Prerequisite: MTH123 (minimum grade of C- required)
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Course Syllabus
MTH142 - CALCULUS AND ANALYTIC GEOMETRY II
5 credit hours; 5 class hours
A study of areas, The Fundamental Theorem of Calculus, integration by substitution, numerical integration, integration of logarithmic functions, trigonometric functions, exponential functions, inverse trigonometric functions, volumes, arc length and surfaces of revolution, work, centers of mass, fluid pressure, trigonometric substitution, parametric equations, polar coordinates, and integration by parts. Successful completion in MTH 141 required.
Quarters available: Day - Offered based on need; Evening - Offered based on need
Prerequisite: MTH141 (minimum grade of C- required)
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Course Syllabus
MTH143 - CALCULUS AND ANALYTIC GEOMETRY III
5 credit hours; 5 class hours
A study of differential equations, partial fractions, integration by tables, indeterminate form and L'Hopital's Rule, sequences, improper integrals, infinite series and convergence, Taylor and Maclaurin Series, vectors in the plane, vectors, curves and surfaces in space, parametric curves, dot product, and cross product, partial derivatives, differentials, and differential equations. Successful completion in MTH 142 is required.
Quarters available: Day - Offered based on need; Evening - Offered based on need
Prerequisite: MTH142 (minimum grade of C- required)
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Course Syllabus
MTH144 - MULTIPLE INTEGRATIONS
3 credit hours; 3 class hours
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.
Quarters available: Day - Offered based on need; Evening - Offered based on need
Prerequisite: MTH143 (minimum grade of C- required)
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Course Syllabus
MTH145 - DIFFERENTIAL EQUATIONS
3 credit hours; 3 class hours
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.
Quarters available: Day - Offered based on need; Evening - Offered based on need
Prerequisite: MTH122 OR MTH130
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Course Syllabus
MTH194 - APPLIED GEOMETRY & TRIGONOMETRY
4 credit hours; 4 class hours
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.
Quarters available: Day - W; Evening - W
Prerequisite: MTH121 (minimum grade of C- required)
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Course Syllabus
MTH290 - SPECIAL TOPICS IN MATHEMATICS
6 credit hours; 1-6 class hours
The course 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.
Quarters available: Day - Offered based on need; Evening - Offered based on need
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Course Syllabus
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