Mathematics

Program Description

To paraphrase Galileo, "Mathematics is the language in which the laws of nature are written" and the laws of society and economics as well. In recent years, applications of mathematics have expanded far beyond the traditional boundaries of physics, chemistry, and engineering. Biologists, sociologists, economists, psychologists, and even historians and lawyers have reached out to mathematicians in their quest for indisputable conclusions and novel methods of investigation. Thus, pure and applied mathematicians are and always will be in demand.

Grayson College offers an Associate of Science in Mathematics. This program opens the door to an attractive future for students who want to prepare for careers in fields requiring a solid background in quantitative analysis, transfer to university, or to teach mathematics at various levels.

Program Mission Statement

The Department of Mathematics seeks to ensure that all students are given a basic understanding of mathematical reasoning and some experience of its application. More advanced techniques and interpretative skills are taught to those whose chosen disciplines require them. The Mathematics Department offers courses of study that initiate students into the active practice and use of mathematics. Mathematics majors are provided with the background necessary to pursue careers in industry, to teach in the secondary schools, or to succeed in further study.
  

Program Philosophy

It is the belief of the Mathematics staff of Grayson College that mathematics is one of the fundamental skills of learning. The basics of mathematics, along with other essential communication skills, are ingredients that cannot be excluded from any student's formal training. We recognize qualitative literacy as being necessary for survival in a rapidly changing technological society. It is therefore agreed that despite the differences that exist in learning potential or individual student's achievement, there are certain common goals for all students in mathematics: the development of problem-solving and critical thinking skills; the facility to analyze data, make quantitative and qualitative comparisons, identify trends, and make valid conclusions and predictions; the capacity to make estimates and recognize reasonable results. We regard the skills of mathematics as part of being an educated person and critical to academic training and employment. Furthermore, we consider cooperation with the community, industry, and those in higher education essential in the development and delivery of a mathematics program which effectively educates our citizens and communicates the need for this education to all.
  

Associate of Science - Mathematics


Subject

Semester Hours



First Semester

EDUC/PSYC 1300 or Component Area Option 1 3
Language, Philosophy & Culture Core 3
ENGL 1301 3
HIST 1301 3
MATH 2312 3

15


Second Semester

MATH 2413 4
ENGL 1302 3
Life & Physical Sciences Core 3
Science Lab 1
HIST 1302 3
Creative Arts Core 3

17


Third Semester

Social & Behavioral Sciences Core 3
MATH 2414 4
Life & Physical Science Core 3
Science Lab 1
GOVT 2305 3

14


Fourth Semester

GOVT 2306 3
MATH 2415 4
MATH 2320 3
MATH 2318 3
Academic Elective** 1

14
Students are encouraged to select electives that meet the graduation requirement of the senior institution.

Individualized learning program for students needing remediation to pass the college assessment test, prepare for a math class, or develop occupational proficiency in math. Laboratory setting with diagnosis of math strengths and weaknesses. Includes computer and video instruction as appropriate for students studying within specialized environments and/or time constraints.

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This course is designed to supplement the concepts learned in MATH 1332 and MATH 1342. Concurrent enrollment in one of these classes is required.

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This course is designed to prepare students for College Algebra. Concurrent enrollment in MATH 0340 is required. This course supplements the concepts learned in MATH 0340.

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Individualized learning program for students needing remediation to pass the college assessment test, prepare for a math class, or develop occupational proficiency in math. Laboratory setting with diagnosis of math strengths and weaknesses. Includes computer and video instruction as appropriate for students studying within specialized environments and/or time constraints.

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Individualized learning program for students needing remediation to pass the college assessment test, prepare for a math class, or develop occupational proficiency in math. Laboratory setting with diagnosis of math strengths and weaknesses. Includes computer and video instruction as appropriate for students studying within specialized environments and/or time constraints.

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This course is designed for students with a successful background in Developmental Algebra. Topics include simplifying, multiplying and dividing, and adding and subtracting rational expressions, solving equations containing rational expressions, simplifying complex fractions, graphing linear equations, writing equations of lines, determining intercepts and slopes of lines, solving systems of linear equations by graphing, substitution, and addition, simplifying, adding and subtracting, and multiplying and dividing radicals, and solving quadratic 186 equations by the square root property, completing the square, and the quadratic formula. Students apply their instruction in a lab setting.

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A study of relations and functions, inequalities, algebraic expressions and equations (absolute value, polynomial, radical, rational), with a special emphasis on linear and quadratic expressions and equations. A grade of C or better must be earned to progress to a Math course that uses this course as a pre-requisite.

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The course supports students in developing skills, strategies, and reasoning needed to succeed in mathematics, including communication and appropriate use of technology. Topics include the study of numeracy and the real number system; algebraic concepts, notation, and reasoning; quantitative relationships; mathematical models; and problem solving. A grade of C or better must be earned to progress to a Math course that uses this course as a pre-requisite.

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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. Prerequisite: MATH 0330, MATH 0340 or equivalent. A grade of C or better must be earned to progress to a Math course that uses this course as a pre requisite. (M)

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In-depth study and applications of trigonometry including definitions, identities, inverse functions, solutions of equations, graphing, and solving triangles. Additional topics such as vectors, polar coordinates and parametric equations may be included. Prerequisite: two years of high school algebra or MATH 1314. A grade of C or better must be earned to progress to a Math course that uses this course as a pre-requisite. (RM)

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

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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

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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 throughout the course. Additional topics may be covered

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Elementary Statistical Methods. (3-0-3). 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. (RM)

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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.

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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.

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A course designed to prepare math, computer science, and engineering majors for a background in abstraction, notation, and critical thinking for the mathematics most directly related to computer science. Topics include: logic, relations, functions, basic set theory, count ability and counting arguments, proof techniques, mathematical induction, combinatorics, discrete probability, recursion, sequence and recurrence, elementary number theory, graph theory, and mathematical proof techniques.

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In-depth combined study of algebra, trigonometry, and other topics for calculus readiness. A grade of C or better must be earned to progress to a Math course that uses this course as a prerequisite.

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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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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.

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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.

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Differentiation and integration of transcendental functions; parametric equations and polar coordinates; techniques of integration; sequences and series; improper integrals

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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. A grade of C or better must be earned to progress to a Math course that uses this course as a pre-requisite.

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This course emphasizes solution techniques. Ordinary differential equations, vector spaces, linear transformations, matrix/vector algebra, eigenvectors, Laplace Transform, and systems of equations.

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Last updated: 06/20/2017