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FPC Catalog 2011-2012 rvNov 2 2011 - Frank Phillips College

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MATH 1351—Advanced Mathematics II for Elementary Education Teachers 3-0-3<br />

THECB CIP 27.0101.5719<br />

*TRAN<br />

Concepts of geometry, probability, and statistics, as well as applications of the algebraic<br />

properties of real numbers to concepts of measurement with an emphasis on problem solving and<br />

critical thinking. This course is designed specifically for students who seek middle grade (4<br />

through 8) teacher certification. Prerequisite: MATH 1314 or a higher-level math course and<br />

MATH 1350 with grades of C or better.<br />

MATH 2312—Pre-Calculus 3-0-3<br />

THECB CIP 27.0101.5819<br />

*Core Curriculum (Mathematics)<br />

In-depth combined study of algebra, trigonometry, and other topics for calculus readiness.<br />

Applications of algebra and trigonometry to the study of elementary functions and their graphs<br />

including polynomial, rational, exponential, logarithmic and trigonometric functions. May include<br />

topics from analytical geometry. Prerequisite: Passage of the Math Section of a TSI approved<br />

test, two years of high-school algebra, one year of high-school geometry, and one semester of<br />

high-school trigonometry.<br />

MATH 2315—Calculus III 3-0-3<br />

THECB CIP 27.0101.6119<br />

*Core Curriculum (Mathematics)<br />

Advanced topics in calculus, including vectors and vector-valued functions, partial differentiation,<br />

Lagrange multipliers, multiple integrals, and Jacobians; application of the line integral, including<br />

Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem. Prerequisite: Completion of<br />

MATH 2414 with a grade of C or better.<br />

MATH 2318—Linear Algebra 3-0-3<br />

THECB CIP 27.0101.6319<br />

*TRAN<br />

Introduces and provides models for application of the concepts of vector algebra. Topics include<br />

finite dimensional vector spaces and their geometric significance; representing and solving<br />

systems of linear equations using multiple methods, including Gaussian elimination and matrix<br />

inversion; matrices; determinants; linear transformations; quadratic forms; eigenvalues and<br />

eigenvector; and applications in science and engineering. Prerequisite: Instructor’s permission.<br />

MATH 2320—Differential Equations 3-0-3<br />

THECB CIP 27.0101.6419<br />

*TRAN<br />

Ordinary differential equations, including linear equations, systems of equations, equations with<br />

variable coefficients, existence and uniqueness of solutions, series solutions, singular points,<br />

transform methods, and boundary value problems; application of differential equations to<br />

real-world problems. (Laplace transforms, Fourtier series) Prerequisite or corequisite: MATH<br />

2315 with a grade of C or better.<br />

MATH 2413—Calculus I 3-1-4<br />

THECB CIP 27.0101.5919<br />

*Core Curriculum (Mathematics)<br />

Limits and continuity; the Fundamental Theorem of Calculus; definition of the derivative of a<br />

function and techniques of differentiation; applications of the derivative to maximizing or<br />

minimizing a function; the chain rule, mean value theorem, and rate of change problems; curve<br />

sketching; definite and indefinite integration of algebraic, trigonometric, and transcendental<br />

functions, with an application to calculation of areas. Prerequisite: Completion of MATH 1316 with<br />

a grade of C or better or corequisite of MATH 1316.<br />

MATH 2414—Calculus II 3-1-4<br />

THECB CIP 27.0101.6019<br />

*Core Curriculum (Mathematics)<br />

Differentiation and integration of transcendental functions; parametric equations and polar<br />

coordinates; techniques of integration; sequences and series; improper integrals. Prerequisite:<br />

Completion of MATH 2413 with a grade of C or better.<br />

138

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