TCTC Catalog - Tri-County Technical College

Course Descriptions
Numbering System Example: (2-6-4)
2 - Number of class hours per week
6 - Number of lab hours per week
4 - Credits awarded
MAT 104 Mathematics Foundations (3-0-3)
This course includes the study of numeration, measurement
(US customary and SI), basic algebra, geometry, statistics, and
trigonometry. Applications of science and technology are integrated
in a problem-based learning environment. Technology,
communications, teamwork, and other workplace readiness
skills are emphasized. Prerequisite: Satisfactory math placement
score. Corequisites: EGR 104 and ENG 104.
MAT 109 College Algebra with Modeling (3-0-3)
This course is an approach to algebra that incorporates mathematical
modeling of real data and business applications.
Emphasis on linear, quadratic, piece-wise defined, rational,
polynomial, exponential and logarithmic functions. Includes
inequalities and matrices. Prerequisite: Satisfactory math placement
score or MAT 102.
MAT 110 College Algebra (3-0-3)
This course includes the following topics: polynomial, rational,
logarithmic, and exponential functions; inequalities; systems
of equations and inequalities; matrices; determinants;
simple linear programming; solutions of higher degree polynomials;
combinatorial algebra, including the binomial theorem;
and introduction to probability. Prerequisite: Satisfactory
math placement score or MAT 102. (UNIVERSITY TRANSFER)
MAT 140 Analytical Geometry and Calculus I (4-0-4)
This course includes the following topics: derivatives and integrals
of polynomial, rational, logarithmic, exponential, trigonometric,
and inverse trigonometric functions; curve sketching;
maxima and minima of functions; related rates; work; and analytic
geometry. Prerequisite: MAT 111. (UNIVERSITY TRANSFER)
MAT 141 Analytical Geometry and Calculus II (4-0-4)
This course includes the following topics: continuation of calculus
of one variable, including analytic geometry; techniques
of integration; volumes by integration, and other applications;
infinite series, including Taylor series; improper integrals.
Prerequisite: MAT 140. (UNIVERSITY TRANSFER)
MAT 155 Contemporary Mathematics (3-0-3)
This course includes techniques and applications of the following
topics: elementary number theory; algebra; geometry;
measurement; graph sketching and interpretations, and descriptive
statistics. Prerequisite: Satisfactory math placement score.
MAT 181 Integrated Mathematics I (3-0-3)
This problem-based course focuses on basic laws of algebra,
linear and quadratic equations, introduction to trigonometry,
and concepts of functions and graphs. Concepts and skills in
mathematics are integrated with electrical topics in a problembased
learning environment. Science, communications, and
technology are integrated with mathematics throughout the
course. Prerequisite: Satisfactory math placement score.
Corequisites: EGR 181, ENG 181, and PHY 181.
COURSE
DESCRIPTIONS
MAT 111 College Trigonometry (3-0-3)
This course includes the following topics: circular functions;
trigonometric identities; solution of right and oblique triangles;
solution of trigonometric equations; polar coordinates; complex
numbers, including Demoivre’s theorem; vectors; conic
sections; sequences and series. Prerequisite: MAT 110. (UNI-
VERSITY TRANSFER)
MAT 120 Probability and Statistics (3-0-3)
This course includes the following topics: introductory probability
and statistics, including organization of data; sample
space concepts; random variables; counting problems; binomial
and normal distributions; central limit theorem; confidence
intervals and test hypothesis for large and small samples;
types I and II errors; linear regression and correlation.
Prerequisite: Satisfactory math placement score. (UNIVERSITY
TRANSFER)
MAT 122 Finite College Mathematics (3-0-3)
This course includes the following topics: logic; sets; Venn
diagrams; counting problems; probability; matrices; systems
of equations; linear programming, including the simplex
method and applications; graphs and networks. Prerequisite:
Satisfactory math placement score. (UNIVERSITY TRANSFER)
MAT 130 Elementary Calculus (3-0-3)
This course includes the following topics: differentiation and
integration of polynomial, rational, logarithmic, and exponential
functions and interpretation and application of these processes.
Prerequisite: MAT 109 or MAT 110. (UNIVERSITY
TRANSFER)
MAT 182 Integrated Mathematics II (3-0-3)
This problem-based course reinforces the basic laws of algebra,
measurement, linear and quadratic equations, trigonometry,
functions, and graphs. Mathematical concepts and skills
are integrated with mechanical topics in a problem-based learning
environment. Science, communications, and technology are
integrated with mathematics throughout the course.
Corequisites: EGR 182, ENG 182, and PHY 182. Satisfactory
math placement score.
MAT 211 Math for Elementary Education I (3-0-3)
This course includes the following topics: Logic; set theory;
properties of and operations on counting numbers; integers;
rational numbers; and real numbers. Open to elementary education
majors only. Prerequisite: Satisfactory math placement score.
MAT 212 Math for Elementary Education II (3-0-3)
This course includes the following topics: basic algebra; introductory
geometry; probability and statistics. Open to elementary
education majors only. Prerequisite: MAT 211.
MAT 215 Geometry (3-0-3)
This course includes the following topics: Euclidean geometry
of points, lines, triangles, circles, and polygons; right triangle
trigonometry; and analytical geometry of the straight line.
(This course is designed primarily for elementary teachers.)
Prerequisite: MAT 212.
MAT 220 Advanced Statistics (3-0-3)
This course includes the following topics: estimation of parameters;
formulation and testing of hypotheses; multiple and
non-linear regression; correlation; contingency tables;
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