GCC Catalog 2023-2024 - Flipbook - Page 109
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 grade or higher) or
MTH 108 (passed with a C or higher) or
appropriate Math placement score
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 grade
or higher)
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 grade or higher) or
appropriate Math placement score
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 grade or higher)
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, Bayes’ 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 grade or higher) or
appropriate Math placement score
MTH 121
PRINCIPLES OF ELEMENTARY
4 (4-0)
MATHEMATICS I
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
4 (4-0)
MATHEMATICS II
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)
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 grade or higher)
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 (passing with a C grade
or higher)
MTH 220
ORDINARY DIFFERENTIAL EQUATIONS
4 (4-0)
WITH 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 grade 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.
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