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current college catalog. - Ocean County College

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mathematics<br />

MATH 171<br />

Finite Mathematics 3 cr.<br />

A mathematics course for liberal arts<br />

students. The topics covered are linear<br />

graphing, matrices with applications,<br />

and linear programming including the<br />

Simplex Method. Computers and graphing<br />

calculators will be utilized by the students.<br />

Prerequisite(s): MATH 012 (minimum<br />

grade "C") or algebra placement of no<br />

remediation. Successful completion of<br />

required developmental reading courses is<br />

strongly recommended. Code 2 course fee.<br />

MATH 181 Introduction to<br />

Probability<br />

3 cr.<br />

A mathematics course for liberal arts<br />

students. Topics presented are selected<br />

from set theory, probability, binomial<br />

distributions, Markov chains, game theory,<br />

graphs and trees. Prerequisite(s): MATH 012<br />

(minimum grade "C") or algebra placement<br />

of no remediation. Successful completion of<br />

required developmental reading courses is<br />

strongly recommended.<br />

MATH 191 Precalculus I 3 cr.<br />

Polynomial, rational, exponential and<br />

logarithmic functions are studied from an<br />

algebraic, analytic and graphical perspective.<br />

Functions, the Fundamental Theorem of<br />

Algebra, complex numbers, mathematical<br />

modeling and other algebraic concepts<br />

are studied. Students cannot earn more<br />

than a total of six (6) graduation credits for<br />

any combination of MATH 191, MATH 192<br />

and MATH 195. Prerequisite: MATH 165 or<br />

MATH 161 or appropriate placement score.<br />

Prerequisite(s): MATH 165 or MATH 161 or<br />

appropriate placement score.<br />

MATH 192 Precalculus II 3 cr.<br />

This course is a continuation of MATH<br />

191. It includes the study of trigonometric<br />

functions and their inverses, trigonometric<br />

identities and equations and complex<br />

numbers from an algebraic, analytical, and<br />

graphical perspective. Additional topics<br />

include determinants sequences and<br />

series, analytic geometry and mathematical<br />

induction. Prerequisite(s): MATH 191 or<br />

appropriate placement score.<br />

MATH 195 Precalculus I & II<br />

for Science, Mathematics,<br />

Computer Science, &<br />

Engineering Majors 6 cr.<br />

This accelerated course is designed for<br />

Mathematics, Science, Computer Science<br />

and/or Engineering majors or any student<br />

who wishes to be ready for Calculus I in<br />

one semester. It will cover equations and<br />

inequalities including absolute value,<br />

polynomial rational, radical, trigonometric,<br />

inverse trigonometric, logarithmic<br />

and exponential functions, analytic<br />

trigonometry, analytic geometry, polar<br />

coordinates and parametric equations. It<br />

cannot be combined with MATH 191 and/<br />

or MATH 192. Prerequisite(s): MATH 165 or<br />

MATH 161 or appropriate placement score.<br />

Code 1 course fee.<br />

MATH 201<br />

Precalculus Techniques<br />

& Applications<br />

4 cr.<br />

This is an accelerated review of algebraic,<br />

geometric, and trigonometric topics for the<br />

highly motivated student. Critical thinking<br />

skills will be developed through the study<br />

of polynomial, rational, trigonometric,<br />

logarithmic, and exponential functions<br />

and their graphs from algebraic, analytic,<br />

and geometric perspectives. Other topics<br />

to be studied are system of equations and<br />

inequalities, matrices and determinants,<br />

sequences and series, and mathematical<br />

induction. Technology and mathematical<br />

modeling will be utilized throughout the<br />

course. Prerequisite: Appropriate placement<br />

score.<br />

MATH 240<br />

Business Calculus 4 cr.<br />

The topics of limits, continuity, derivatives,<br />

antiderivatives, definite and indefinite<br />

integals, and area between curves will be<br />

discussed with applications of these topics<br />

to business concepts. Technology will be<br />

used with applications, and interpretations<br />

will be emphasized. This course is designed<br />

to fulfill the calculus requirements for a<br />

BS in Business and is not a substitute for<br />

MATH-265. Prerequisite(s): MATH 191<br />

or appropriate placement score. Code 2<br />

course fee.<br />

MATH 265 Calculus I 4 cr.<br />

A study of limits and continuity, differentiation<br />

formulas for algebraic trigonometric, inverse<br />

trigonometric, exponential and logarithmic<br />

functions, higher order derivatives, mean<br />

value theorem, applications of the derivative<br />

including related rates, maximum-minimum;<br />

graphing L’Hospital’s Rule; antiderivates;<br />

the definite integral; integration using<br />

substitution; applications of the integral to<br />

evaluation of area; alternate definition of the<br />

natural logarithmic function. Prerequisite:<br />

MATH 192 or MATH 195 or MATH 201,<br />

or appropriate placement score and four<br />

years of high school algebra including<br />

trigonometry (with a minimum grade of B)<br />

MATH 266 Calculus II 4 cr.<br />

A study of applications of the integral<br />

including area, volume, arc length, surface<br />

area, work; techniques of integration;<br />

improper integrals; infinite sequences and<br />

series; Taylor and Maclaurin series with<br />

applications; parametric equations; polar<br />

coordinates. Prerequisite(s): MATH 265.<br />

MATH 267 Calculus III 4 cr.<br />

A study of three-dimensional analytic<br />

geometry, vectors and vector functions;<br />

derivatives with applications; multiple<br />

integrals with applications; vector calculus<br />

including Greens Theorem and Stokes<br />

Theorem. Prerequisite(s): MATH 266.<br />

MATH 270<br />

Discrete Mathematics 3 cr.<br />

This course is recommended for computer<br />

science and Mathematics majors. The topics<br />

include: sets, logic, mathematical induction,<br />

recursion, combinations, probability, graph<br />

theory and Boolean algebra. Prerequisite(s):<br />

MATH 265 and corequisite MATH 266 or<br />

permission of the instructor. Corequisite:<br />

MATH-266.<br />

MATH 275<br />

Linear Algebra<br />

3 cr.<br />

This course covers topics in linear algebra,<br />

including systems of linear equations,<br />

Gaussian Elimination, matrices and<br />

determinants, vector spaces, linear<br />

transformations, eigenvalues, eigenvectors,<br />

and computer applications. Prerequisite(s):<br />

MATH 266.<br />

MATH 280<br />

Differential Equations 3 cr.<br />

Topics include modeling and solving firstorder<br />

differential equations, modeling and<br />

solving higher-order differential equations,<br />

both linear and non-linear, solution of<br />

differential equations by power series<br />

and Laplace transforms, matrices and<br />

determinants. Technology will be utilized.<br />

Prerequisite(s): MATH 267.<br />

MUSIC<br />

music<br />

MUSC 120 Applied Music I<br />

MUSC 121 Applied Music II<br />

MUSC 220 Applied Music III<br />

MUSC 221 Applied Music IV<br />

2 cr. (1+0+3)<br />

Beginning or intermediate students receive<br />

one-on-one instruction in the technical and<br />

interpretive aspects of music performance<br />

as it relates to their instrument or voice<br />

with emphasis on tone production and<br />

intonation, expression, technique, and<br />

interpretation. Students are expected to<br />

devote a minimum of three hours per week<br />

of work outside class on assigned warmups,<br />

exercises, and appropriate repertoire.<br />

Weekly lesson times are arranged between<br />

instructors and students and approved by<br />

the dean/assistant dean. Code 3 course fee.<br />

MUSC 131 Introduction to<br />

Guitar Instruction I 3 cr. (2+2)<br />

This course is designed as an introduction<br />

to guitar playing for students with no prior<br />

music experience. In addition to sightreading,<br />

transposition and improvisation,<br />

this is a practical way of introducing the<br />

materials of music to students who plan to<br />

study music further or just play for their own<br />

enjoyment. Students are required to provide<br />

their own guitar (acoustic, or electric with<br />

amplifier). Code 3 course fee.<br />

732-255-0400 • www.ocean.edu Course Descriptions<br />

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