TVCC-2017-2018-Catalog - page 276

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MATH 1333. Contemporary Mathematics II. (3-3-0)
Prerequisite: Meet TSI college-readiness standard for Mathematics, or equivalent.
Topics may include treatment of sets, logic, number systems, number theory, relations, functions,
probability and statistics. Appropriate applications are included.
MATH 1342. Elementary Statistical Methods. (3-3-0)
Core Area 020
Prerequisite: Meet TSI college-readiness standard for Mathematics, or equivalent.
Collection, analysis, presentation and interpretation of data, and probability. Analysis includes
descriptive statistics, correlation and regression, confidence intervals and hypothesis testing. Use of
appropriate technology is recommended
MATH 1350. Mathematics for Teachers I. (3-3-0)
Core Area 090
Prerequisite: MATH 1314 or the equivalent
This course is intended to build or reinforce a foundation in fundamental mathematics concepts and skills. It
includes the conceptual development of the following: sets, functions, numeration systems, number theory,
and properties of the various number systems with an emphasis on problem solving and critical thinking.
MATH 1351. Mathematics for Teachers II. (3-3-0)
Core Area 090
Prerequisite: MATH 1350.
This course is intended to build or reinforce a foundation in fundamental mathematics concepts and skills. It
includes the concepts of geometry, measurement, probability, and statistics with an emphasis on problem
solving and critical thinking.
MATH 2312. Pre-calculus. (3-3-0)
Core Area 020
Prerequisite: MATH 1314 or the equivalent preparation.
In-depth combined study of algebra, trigonometry and other topics for calculus readiness. Begins with topics
from plane trigonometry including circular functions, solutions of right triangles, graphs, identities, solving
trigonometric equations and the use of scientific calculators. Either a programmable or a non-programmable
calculator is required. The course will include topics from analytical geometry.
MATH 2413. Calculus I. (4-4-0)
Core Area 090
Prerequisite: Math 2312 Pre-Calculus Math or equivalent preparation
Limits and continuity; the Fundamental Theorem of Calculus; definition of the derivative of a function and
techniques of differentiation; applications of the derivative to maximizing or minimizing a function; the
chain rule, mean value theorem and rate of change problems; curve sketching; definite and indefinite
integration of algebraic, trigonometric, and transcendental functions, with an application to calculation of
areas.
MATH 2414. Calculus II. (4-4-0)
Core Area 090
Prerequisite: Math 2413 or equivalent.
Differentiation and integration of transcendental functions; parametric equations and polar coordinates;
techniques of integration; sequences and series; improper integrals.
MATH 2415. Calculus III. (4-5-0)
Core Area 090
Prerequisite: Math 2414 or equivalent.
Advanced topics in calculus, including vectors and vector-valued functions, partial differentiation, Lagrange
multipliers, multiple integrals, and Jacobians; application of the line integral, including Green’s Theorem, the
Divergence Theorem and Stokes’ Theorem.
MATH 2318. Linear Algebra. (3-4-0)
Core Area 090
Prerequisite: MATH 2414 Calculus II
Introduces and provides models for application of the concepts of vector algebra. Topics include finite
dimensional vector spaces and their geometric significance; representing and solving systems of linear
equations using multiple methods, including Gaussian elimination and matrix inversion; matrices;
determinants; linear transformations; quadratic forms; eigenvalues and eigenvector; and applications in
science and engineering.
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