# GCC 2018-19 Catalog - Page 116

Prerequisite: MTH 103 (passed with a C or higher) or appropriate Math

placement score

MTH 110 COLLEGE ALGEBRA

4 (4-0)

This course covers equation solving and functional analysis. Topics covered

include: systems of real numbers, operations on polynomials and rational

expressions, functions, conic sections, roots, exponential and logarithmic

functions, systems of equations, and elementary matrix algebra.

Prerequisite:

MTH 104 (passed with a C or higher) or MTH 108 (passed

with a C or higher) or appropriate Math placement score

MTH 112 TRIGONOMETRY

3 (3-0)

This course covers functions of acute angles, solution of right triangles and

applications. Functions of a general angle, identities, related angles, radian

measure, graphing the trigonometric functions, addition formulas and related

identities, logarithms, oblique triangles, inverse trigonometric functions, vectors.

Prerequisite:

MTH 110 (passed with a C or higher) or appropriate

Math placement score

MTH 120 FINITE MATHEMATICS

4 (4-0)

This course is designed primarily for students in business and the social and life

sciences. It builds algebraic skills while emphasizing applications and

mathematical modeling. It deals with problems in the social sciences, business,

natural sciences, and other areas. Concepts introduced include linear systems,

matrices, the simplex method, sets and counting methods, probability, Bayesâ€™

theorem, descriptive statistics, normal and binomial distributions, simple and

compound interest, annuities and present value, sequences and difference

equations. Requires the use of a graphing calculator.

Prerequisite:

MTH 104 (passed with C or better) or satisfactory score

on the Math Placement Exam

MTH 220 ORDINARY DIFFERENTIAL EQUATIONS WITH

4 (4-0)

LINEAR ALGEBRA

First order equations, second and higher order equations with constant

coefficients, solution by operator methods, matrices, systems of linear equations,

eigenvalues and eigenvectors, systems of linear differential equations,

applications, power series solution of 2nd order equations will be covered. Also

includes a module on linear algebra.

Prerequisite:

MTH 152 (passing with a C or better)

MTH 280 HONORS MATH SEMINAR

1 (1)

Students must take this one-credit seminar simultaneously with a four- credit

higher-level math course. A grade of "C" or better in both courses will convert into

five

honors

credits

on

students'

transcripts.

Students

will

understand the impact of mathematical thought, both historical and modern,

on the world and will work on special projects that relate their higher-level math

class to everyday concerns.

Prerequisite:

Assessment Scores

MUSIC

(MUS)

MUS 101 MUSIC THEORY

3 (3-0)

The study of the elements of music-elementary theory, musical notation, chord

construction and relationships, and ear training; all as related to the piano

keyboard.

Prerequisite:

None

MUS 102 MUSIC APPRECIATION

3 (3-0)

An introduction to the sounds and composition of serious music from ancient

times to the present, with an emphasis on the recognition of musical styles

through recorded sound.

This course fulfills a humanities requirement.

MTH 121 PRINCIPLES OF ELEMENTARY MATHEMATICS I

4 (4-0)

This course is intended primarily for future elementary and junior high

school teachers. A precise treatment of the mathematics underlying

arithmetic will be given, with the emphasis on the "why" of arithmetic procedures.

The course will cover systems of numeration, sets, relations,

whole numbers, rational numbers, real numbers, construction and properties

of number systems, basic number theory and computational methods.

Prerequisite:

MTH 104

MTH 122 PRINCIPLES OF ELEMENTARY MATHEMATICS II

4 (4-0)

This course is a continuation of Mathematics 121. It will include selected topics

from informal geometry such as elementary theorems and proofs, area and

volume, coordinate systems, topology, axiomatic method, as well as logic, basic

probability, and statistics. The LOGO programming language will be introduced.

Prerequisite:

MTH 121 or Permission of Instructor

MTH 150 CALCULUS AND ANALYTIC GEOMETRY I

5 (5-0)

Functions and their graphs, rate of change of functions, theorems about

limits, derivatives, chain rule, differentials dy and dx, maximum and

minimum theory, derivatives of inverse functions, natural logarithms, and

exponential functions, tangents and normals to curves. Newton's method for

approximating roots of equations, introduction to integration, differentiation and

integration of sines and cosines, areas under a curve, trapezoidal rule for

approximating an integral, and topics in analytic geometry.

Prerequisite:

MTH 110 and MTH 112 (passing with a C or better)

MTH 151 CALCULUS AND ANALYTIC GEOMETRY II

4 (4-0)

Applications of the definite integral, volumes, length of arc of plane curves,

areas of surface of revolution, moments and center of mass, centroid, infinite

series, MacLauren's Series, Taylor's Series, indeterminate forms, Vectors and

parametric equations basic methods of integration, partial fractions, integration

by parts, and trigonometric substitutions.

Prerequisite:

MTH 150 (passing with a C or better)

Prerequisite:

None

MUS 103 PIANO CLASS

1 (0-3)

An introduction to basic piano technique with emphasis upon the special needs of

the elementary classroom teacher.

Prerequisite:

None

MUS 104 APPLIED MUSIC

2 (0-3)

Private instruction per week on piano, voice, wind or percussion instruments,

depending on availability of instruction.

Prerequisite:

None

MUS 105 CHOIR- CIVIC CHORUS

1 (0-2)

Membership is open to those who demonstrate sufficient vocal ability. Students

may participate in the college-sponsored Civic Chorus, a larger choral group

formed of singers of all ages from the area. May be taken with or without credit.

Prerequisite:

None

MUS 106 BEGINNING INSTRUMENTAL MUSIC

1 (2-0)

Classroom instruction on brass, woodwinds, and percussion. Open to those

interested in learning to play a band instrument. A refresher course for those who

have not played for many years. Some instruments are available.

Prerequisite:

None

MUS 107 CONCERT BAND

1 (0-2)

Performance in a college instrumental group. May be taken with or without

credit. May be repeated for credit.

Prerequisite:

MUS 106 or Playing Ability

MUS 125 MUSIC THROUGH THE GENERATIONS

3 (3-0)

An historical study of western and non-western music from ancient to modern

civilization with an emphasis on the relationship of music to its relative society.

This course fulfills a humanities requirement.

Prerequisite:

None

MTH 152 CALCULUS III

4 (4-0)

Scalar and vector product, spherical and polar coordinates, partial differentiation,

directional derivatives, the total differential, multiple integrals, path and curve

integrals, surface integrals, and Green's Theorem.

Prerequisite:

MTH 151 (passing with a C or better)

MUS 130 JAZZ, FOLK, ROCK, & BROADWAY MUSIC

3 (3-0)

A study and comparison of the styles, elements, composers, and performers

of Broadway, folk, jazz, and rock music.

MTH 211 INTRODUCTION TO STATISTICS

3 (3-0)

MATH 211 includes the organization of data, summation notation, measures of

central tendency and dispersion, probability, types of probability distributions,

sampling, hypothesis testing, regression and correlation, and analysis of

disparities. Outcome of experiments and interpretation of data are related to

business, sociological, psychological, and educational problems.

Prerequisite:

MTH 108 or MTH 110

MUS 203 INTERMEDIATE PIANO

1 (0-3)

A continuation of MUS 103 with more emphasis on piano technique and repertoire.

The student will become more familiar and comfortable in piano playing and be

able to have some degree of skill in sight reading piano literature.

Prerequisite:

MUS 103 or Instructor Consent

This course fulfills a humanities requirement.

Prerequisite:

None

MUS 240 VOCAL-VOICE

2 (0-2)

Classroom instruction in vocal technique; individual study in voice and the

fundamentals of singing.

Prerequisite:

None

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