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Mathematics Concenration

SEM Science, Engineering, & Math  What We Offer

 

 

 

 

 

Concentration Information


The Mathematics Department at TVCC offers university Associates of Arts Degree. Students that plan to seek a bachelor's degree at a senior college or university may enroll in an Associate of  Liberal Arts with an Mathematics Concentration. This degree is a road map for students who wish to major in an area of Mathematics at the University level. Students are encouraged to consult with an advisor to determine which courses should be taken for it's bachelor's degree in their desired concentration.
 
 
 

MATH 1314. College Algebra (3-3-0) Core Area 020

Prerequisite:  Meets TSI college-readiness algebraic intensive standard for Mathematics, or equivalent.

In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions and systems of equations using matrices. Additional topics such as sequences, series, probability and conics may be included.

MATH 1324. Mathematics for Business and Social Sciences (3-3-0) Core Area 020

Prerequisite: Meet TSI college-readiness standard for Mathematics, or equivalent.

The application of common algebraic functions, including polynomial, exponential, logarithmic, and rational, to problems in business, economics and the social sciences are addressed. The applications include mathematics of finance, including simple and compound interest and annuities; systems of linear equations; matrices; linear programming; and probability, including expected value.

MATH 1325. Calculus for Business and Social Sciences (3-3-0) Core Area 020

Prerequisite: MATH 1314 College Algebra or MATH 1324 Mathematics for Business and Social Sciences, or equivalent.

This course is the basic study of limits and continuity, differentiation, optimization and graphing, and integration of elementary functions, with emphasis on applications in business, economics and social sciences. This course is not a substitute for MATH 2413, Calculus I.

MATH 1332. Contemporary Mathematics (Quantitative Reasoning) (3-3-0) Core Area 020

Prerequisite: Meet TSI college-readiness standard for Mathematics, or equivalent.

Intended for Non STEM (Science, Technology, Engineering, and Mathematics) majors. Topics include introductory treatments of sets and logic, financial mathematics, probability and statistics with appropriate applications. Number sense, proportional reasoning, estimation, technology, and communication should be embedded through the course. Additional topics may be covered.

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 (Fundamentals of Mathematics 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 (Fundamentals of Mathematics 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 Math (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.

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.

MATH 2320.  Differential Equations (3-3-0) Core Area 090

Prerequisite: MATH 2414 Calculus II

Ordinary differential equations, including linear equations, systems of equations, equations with variable coefficients, existence and uniqueness of solutions, series solutions, singular points, transform methods and boundary value problems; application of differential equations to real-world problems.

 

 

CHEM 1411 General Chemistry I (F)

CHEM 1412 General Chemistry II (S)

MATH 2318 Linear Algebra

MATH 2320 Differential Equations (S/SUM)

 

Component Area

Courses

Semester Hours

Communication (010)

Both:

ENGL 1301 AND

ENGL 1302

6

Mathematics (020)

One course from:

MATH 1314, 1324, 1325, 1332, 1342, 2312, 2413

3

Life & Physical Sciences (030)

* Two Courses from:

BIOL 1406, 1407, 1408, 1409, 1411, 1413, 2401, 2402, 2420, 2421, 2404

CHEM 1405, 1406, 1407, 1411, 1412, 2423, 2425

PHYS 1401, 1402, 1415, 1417, 2425, 2426

6

Language, Philosophy,

And Culture (040)

One course from:

ENGL 2322, 2323, 2327, 2328,  2332,  2333

HUMA 1301

PHIL 2306

SPAN 2311, 2312

3

Creative Arts (050)

One course from:

ARTS 1301, 1303, 1304

DRAM 1310, 2366

MUSI 1306, 1307, 1310

3

History (060)

Two courses from:

HIST 1301, HIST 1302, HIST 2301

6

Government (070)

Both:

GOVT 2305 AND GOVT 2306

6

Social & Behavioral Sciences (080)

One course from:

ECON 2301, 2302

PSYC 2301, 2314

SOCI 1301, 1306, 2301

3

Component Area Requirement CAO (090)

Two courses from:

BCIS 1305

BIOL 1406, 1407, 1411, 1413, 2401, 2402, 2420, 2421, 2404

CHEM 1405, 1406, 1407, 1411, 1412, 2423, 2425

EDUC/PSYC 1300

ENGL 2311

MATH 1314,1324, 1325, 1332, 1342, 1350, 1351, 2312, 2413, 2414, 2318, 2320, 2415

PHYS 1401, 1402, 1415, 1417, 2425, 2426

SPCH 1315, 1321

6

Suggested Pathway Electives

Suggested pathway electives  to complete 60 semester hours

18

(2 of the 18 hours will consist of science labs)

* The following science combinations will satisfy the life & physical science requirement

BIOL 1406 and BIOL 1407; BIOL 1408 and BIOL 1409; BIOL 1411 and BIOL 1413; BIOL 1406 with any CHEM or PHYS; BIOL 1407 with any CHEM or PHYS; BIOL 1408 with any CHEM or PHYS; BIOL 1409 with any CHEM or PHYS; BIOL 1411 with any CHEM or PHYS; BIOL 1413 with any CHEM or PHYS; CHEM 1405 and CHEM 1407; CHEM 1406 and CHEM 1407; CHEM 1405 with any BIOL or PHYS; CHEM 1406 with any BIOL or PHYS; CHEM 1407 with any BIOL or PHYS

 

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Posted Date:
6/13/2018 10:19:56 AM

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