Dalton State 2013-14 Catalog

B.S. in Mathematics, Secondary Certification Option

I. Core Curriculum
Area A: Essential Skills (Must make a "C" or above)
ENGL 1101English Composition I3
ENGL 1102English Composition II3
MATH 1113Precalculus Mathematics3
Area B: Institutional Options
COMM 1110Fundamentals of Speech3
One of the following electives:1
Argumentation and Advocacy
Intro to Greek Mythology
Creative Writing
Natural Hazards
Appalachian Hist-Special Topic
Sports Hist & Amer Character
Mystery Fiction in Pop Culture
Political and Social Rhetoric
Christian Fiction/Pop Culture
Health & Wellness Concepts
Race and Ethnicity in America
Area C: Humanities/Fine Arts
Must choose a minimum of one, but no more than two of the following electives: 6
Intro to Film as Literature
World Literature I
World Literature II
British Literature I
British Literature II
American Literature I
American Literature II
If only one English Elective is chosen, add one of the following:
Art Appreciation
Expressions of Culture I
Expressions of Culture II
Music Appreciation
World Music
American Music
Theatre Appreciation
Area D: Science/Mathematics/Technology
MATH 2253Calculus and Analytic Geom I4
One of the following Laboratory Science Sequences:8
Principles of Biology I
   and Principles of Biology II
Principles of Chemistry I
   and Principles of Chemistry II
Introductory Physics I
Principles of Physics I
Introductory Physics II
Principles of Physics II
Principles of Physics I
   and Principles of Physics II
Area E: Social Sciences
HIST 2111United States History to 18773
or HIST 2112 United States Hist since 1877
POLS 1101American Government3
Two of the following electives:6
Intro to Cultural Anthropology
Principles of Macroeconomics
Principles of Microeconomics
Introduction to Geography
Intro to Human Geography
Intro to Physical Geography
World Civilization to 1650 CE
World Civilization since 1650
United States History to 1877
United States Hist since 1877
Intro to World Religions
Intro to Philosophical Issues
Logic and Critical Thinking
Intro to Political Science
State and Local Government
Comparative Politics
International Relations
Introduction to Psychology (Pre-requisite for EDUC 2110, 2120, and 2130 courses (Must make a "C" or above) )
Psychology of Adjustment
Human Development
Applied Psychology
PSYC 2250 Abnormal Psychology Allowable Area E Elective
Introduction to Sociology
Social Problems
Physical Education
PHED Activity Elective1
Area F: Major Related
Must have a C or above
CMPS 1301Principles of Programming I3
MATH 2254Calculus and Analytic Geom II4
MATH 2255Calculus and Analytic Geom III4
MATH 2256Introduction to Linear Algebra3
MATH 2403Differential Equations4
II. Upper Level Courses
MATH 3101Intro to Advanced Mathematics3
MATH 3201Geometry3
MATH 4001History of Mathematics3
MATH 4101Abstract Algebra I3
MATH 4201Number Theory3
MATH 4301Graph Theory3
MATH 4601Real Analysis I4
MATH 4701Probability and Statistics I3
Upper Level Electives
Choose one of the following:3
Abstract Algebra II
Real Analysis II
Probability and Statistics II
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Education Courses
Completion of Area A with grades of C or above, completion of PSYC 1101 with a C or above, approved Background Check, proof of professional Liability Insurance, completion of the mandated reporter training course, a passing score on an Ethics assessment, and 30 academic hours required prior to enrollment in EDUC 2110, EDUC 2120 and EDUC 2130, (Must make a C or above in all three EDUC courses)
EDUC 2110Investig Critical/Contem Issue3
EDUC 2120Expl Socio-Cultural Perspect3
EDUC 2130Exploring Learning/Teaching3
-------------------------
Professional Education Semester 1 (Block I) - Fall Semester
Acceptance in to Teacher Education Program plus completion of 8 credit hours of Mathematics courses within the curriculum are required prior to enrollment in PES I.
EDUC 3902Curric/Asses Secondary Teacher3
EDUC 3272Class Mgmt Sec Ed Field Exp I2
-------------------------
Professional Education Semester 2 (Block II) - Spring Semester
Completion of EDUC 3902 and EDUC 3272 with a "C" or above and completion of 18 credit hours of mathematics courses within the curriculum are required prior to enrollment in PES II. **
EDUC 3273Class Mgmt Sec Ed Field Exp II2
EDUC 4901Methods/Strat Teach Sec Stu3
-------------------------
Professional Education Semester 3 (Block III) - Fall Semester
Completion of EDUC 3273 and EDUC 4901 with a "C" or above and completion of 24 credit hours of mathematics courses within the curriculum are required prior to enrollment in PES III **
READ 3456Reading across Curric Sec Educ3
EDUC 3274Class Mgm Sec Ed Field Exp III2
-------------------------
Professional Education Semester 4 (Block IV) - Spring Semester
Completion of EDUC 3456 and EDUC 3274 with a "C" or above and completion of 30 credit hours of mathematics courses within the curriculum are required prior to enrollment in PES IV. **
EDUC 3120Excep/Diverse/At-Risk Students3
EDUC 4951Internship in Sec School Math8
EDUC 4953Teaching Internship Seminar1
Total Hours126

 

*

Math 2253 may be used if the student meets the prerequisites. The additional area of credit will be applied to the upper level curriculum courses.

Courses

MATH 0090. Certif Preparatory Mathematics. 3-0-3 Units.

Presents the fundamentals of mathematics: addition, subtraction, multiplication, and division of whole numbers, fractions, decimals and percentages. Prospective students will be required to score at or above 35 on the Pre-Algebra COMPASS exam to be exempt from this course. (Institutional Credit)(F,S,M)
Prerequisites: Must be enrolled in a certificate program.

MATH 0091. Quant Skills/Reason Co-Curricu. 1-0-1 Unit.

Students with learning support mathematics requirements who are enrolled in MATH 1001 are required to take this course concurrently with MATH 1001. It is not intended to supply sufficient algebraic background for students who intend to take Precalculus or the calculus sequences for mathematics and science majors. Together with MATH 1001, this course places quantitative skills and reasoning in the context of experiences that students will be likely to encounter. It emphasizes processing information in context from a variety of representations, understanding of both the information and the processing, and understanding which conclusions can be reasonably determined. Prospective students will be required to score at or above 37 on the COMPASS exam to be exempt from the course.(F,S,M)

MATH 0092. Math Modeling Co-Curricular. 1-0-1 Unit.

Students with learning support requirements in mathematics are required to take this course concurrently with MATH 1101. Together with MATH 1101, it is an option in Area A of the Core Curriculum and is not intended to supply sufficient algebraic background for students who intend to take Precalculus or the calculus sequences for mathematics and science majors. Together with MATH 1101, this course is an introduction to mathematical modeling using graphical, numerical, symbolic, and verbal techniques to describe and explore real-world data and phenomena. Emphasis is on the use of linear, polynomial, exponential, and logarithmic functions to investigate and analyze applied problems and questions, supported by the use of appropriate technology, and on effective communication of quantitative concepts and results.(F,S,M)

MATH 0096. Introductory Algebra. 3-0-3 Units.

Reviews fractions, decimals, and percents. Topics include signed numbers, order of operations, variable expressions, linear equations and inequalities, and polynomials. Prospective students will be required to score at or above 25 on the COMPASS exam to be exempt from this course. (Institutional Credit)(F,S,M)
Prerequisites: Must be enrolled in a degree-level program.

MATH 0098. Intermediate Algebra. 4-0-4 Units.

Continues the development of algebra. Topics include factoring polynomials, rational expressions and equations, linear graphing, simultaneous equations, radicals and quadratic equations. Prospective students will be required to score at or above 37 on the COMPASS exam to be exempt from this course. (Institutional Credit)(F,S,M)
Prerequisites: Must be enrolled in a degree-level program.

MATH 0099. Learning Support Algebra. 6-0-6 Units.

Topics include fractions, geometry, signed numbers, order of operations, variable expressions, linear equations and inequalities, polynomials, factoring polynomials, rational expressions and equations, linear graphing, simultaneous equations, radicals and quadratic equations. Prospective students will be required to score at or above 37 on the COMPASS exam to be exempt for this course. (Institutional Credit).

MATH 1001. Quantitative Skills/Reasoning. 3-0-3 Units.

This course is an alternative in Area A of the Core Curriculum and is not intended to supply sufficient algebraic background for students who intend to take precalculus or the calculus sequences for mathematics and science majors. This course places quantitative skills and reasoning in the context of experiences that students will be likely to encounter. It emphasizes processing information in context from a variety of representations, understanding of both the information and the processing, and understanding which conclusions can be reasonably determined.(F,S)
Corequisites: MATH 0091 unless exempt from learning support mathematics.

MATH 1101. Intro to Mathematical Modeling. 3-0-3 Units.

This course is not intended to supply sufficient algebraic background for students who intend to take precalculus or the calculus sequence for mathematics and science majors. This course is an introduction to mathematical modeling using graphical, numerical, symbolic, and verbal techniques to describe and explore real-world data and phenomena. Emphasis is on the use of linear, polynomial, exponential, and logarithmic functions to investigate and analyze applied problems and questions, supported by the use of appropriate technology, and on effective communication of quantitative concepts and results.(F,S,M)
Corequisites: MATH 0092 unless exempt from learning support.

MATH 1102. Medical Mathematics. 3-0-3 Units.

Designed primarily for those students majoring in health professions. Topics covered include a review of computational skills, metric and apothecary systems, and dosage calculations for tablets, solutions, and intravenous fluids. (Career Course)(F,M)
Prerequisites: Satisfactory Mathematics placement score or successfully complete MATH 0090.

MATH 1104. Applied Mathematics. 3-0-3 Units.

Topics include arithmetic, elementary algebra, geometry, measurement, and elementary trigonometry. (Career Course)(F,S,M)
Prerequisites: MATH 0090 unless exempt for learning support mathematics.

MATH 1111. College Algebra. 3-0-3 Units.

Presents topics in algebra, including the number system, polynomials, algebraic functions, exponents, radicals, linear and quadratic equations, inequalities, lines in the plane, linear modeling, conics, algebra of functions, exponential and logarithmic functions and systems of equations and inequalities.(F,S,M)
Prerequisites: MATH 0098 unless exempt.

MATH 1113. Precalculus Mathematics. 3-0-3 Units.

Provides immediate transition from high school algebra into calculus and physics. Material goes beyond that normally covered in Mathematics 1111. Algebra topics include linear, quadratic equations, functions and graphing, exponential and logarithmic functions. Trigonometry topics include trigonometric functions and inverse, law of sines, law of cosines and identities. For students planning to take calculus and/or physics.(F,S,M)
Prerequisites: MATH 1111.

MATH 1401. Introduction to Statistics(eC). 3-0-3 Units.

A course in basic statistics. Topics include descriptive statistics, probability, distributions, hypothesis testing, inferences, correlation, and regression.
Prerequisites: MATH 1101, MATH 1111, MATH 1113 or approved equivalent.

MATH 1501. Calculus I (eCore). 4-0-4 Units.

This course is a four (4) credit hour course and includes material on functions, limits, continuity, the derivative, antidifferentiation, the definite integral, applications of integration and techniques of integration.
Prerequisites: MATH 1113.

MATH 2008. Found of Numbers & Operations. 3-0-3 Units.

This course will emphasize the understanding and use of the major concepts of number and operations. Topics include problem-solving strategies; inductive and deductive reasoning; numeration systems and place value; operations and algorithms; identity elements and inverse operations; rational and irrational numbers; integers and number theory; special sets of numbers; exponents and decimals; ratios, percents, and proportional reasoning.(S,M)
Prerequisites: MATH 1001, MATH 1111, or MATH 1113.

MATH 2181. Applied Calculus. 3-0-3 Units.

Surveys differential and integral calculus of polynomial, rational, exponential and logarithmic functions. Detailed applications to problems and concepts from business, economics and life science are covered.(F,S,M)
Prerequisites: MATH 1111, MATH 1001, or MATH 1113 with a grade of C or better.

MATH 2200. Introduction to Statistics. 3-0-3 Units.

Surveys descriptive and inferential statistics. Topics include organizing and graphing data, measures of central tendency, dispersion, probability, normal distribution, sampling, confidence intervals, hypothesis tests, significance tests, correlation and regression.(F,S,M)
Prerequisites: MATH 1001, MATH 1111, or MATH 1113.

MATH 2253. Calculus and Analytic Geom I. 4-0-4 Units.

Includes topics limits and continuity, derivatives and their applications and an introduction to the concept of the integral. The first in a four course sequence in Calculus. Prerequisite: MATH 1113 or satisfactory mathematics scores of SAT 600/ACT 26 and one year of high school trigonometry.(F,S,M)
Prerequisites: MATH 1113.

MATH 2254. Calculus and Analytic Geom II. 4-0-4 Units.

Emphasizes the definite integral and its applications, the calculus of trigonometric, exponential, logarithmic, hyperbolic and inverse functions, techniques of integration, improper integrals, L' Hopital's Rule, infinite series and conic sections. The second course in the Calculus sequence.(F,S,M)
Prerequisites: MATH 2253.

MATH 2255. Calculus and Analytic Geom III. 4-0-4 Units.

Emphasizes calculus in three dimensions. Topics include vectors, parametric equations, partial derivatives, multiple integrals and their applications and topics in vector calculus. The third course in the Calculus sequence.(F,S)
Prerequisites: MATH 2254.

MATH 2256. Introduction to Linear Algebra. 3-0-3 Units.

Introduces low-dimensional linear algebra through eigenvalues and eigenvectors. Applications to linear systems, least-square problems, and the calculus, including elementary differential equations.(F,S)
Prerequisites: MATH 2253.
Corequisites: MATH 2254.

MATH 2403. Differential Equations. 3-2-4 Units.

A study of differential equations, including first and higher order equations, linear and nonlinear systems of equations, numerical methods to approximate solutions, using Laplace transforms to determine solutions, and methods that yield infinite series solutions.(F,S)
Prerequisites: MATH 2254 and MATH 2256.

MATH 2602. Linear & Discrete Mathematics. 3-2-4 Units.

Explores topics in linear algebra, induction, combinatorics, difference equations, and multivariate optimization with an emphasis on discrete and recursive methods.(F,S)
Prerequisites: MATH 2255.

MATH 2770. Statistics and Applications. 3-0-3 Units.

Introduces the student to topics in probability, probability distributions, point estimation, confidence intervals hypothesis testing, linear regression and analysis of variance.(F,S,M)
Prerequisites: MATH 2255.

MATH 3101. Intro to Advanced Mathematics. 3-0-3 Units.

Preparation in mathematical reasoning and proof-writing necessary for upper division course work in mathematics. Topics include logic, integers and induction, sets and relations, equivalence relations and partitions, and functions.(S)
Prerequisites: MATH 2255.

MATH 3201. Geometry. 3-0-3 Units.

An introduction to Euclidean and non-Euclidean geometries developed with the study of constructions, transformations, applications, and the rigorous proving of theorems.(F)
Prerequisites: MATH 3101.

MATH 3301. Combinatorics. 3-0-3 Units.

Basic counting principles: permutations, combinations, probability, occupancy problems, and binomial coefficients. More sophisticated methods include generating functions, recurrence relations, inclusion/exclusion principles, and the pigeonhole principle. Additional topics include asymptotic enumeration, Polya counting theory, combinatorial designs, coding theory, and combinatorial optimization.(S)
Prerequisites: MATH 2254.

MATH 3401. Linear Algebra. 3-0-3 Units.

Theory and applications of matrix algebra, vector spaces, and linear transformations; topics include characteristic values, the spectral theorem, and orthogonality.(F)
Prerequisites: MATH 2256.

MATH 3703. Geometry for P-8 Teachers. 3-0-3 Units.

Continues MATH 2008, with emphasis for teachers of grades P-8. Logic; real numbers; basic and transformational geometry; measurement, including the metric system; problem solving; methods and materials for teaching mathematics at the P-8 level.(S,M)
Prerequisites: MATH 2008.

MATH 3803. Algebra for P-8 Teachers. 3-0-3 Units.

Provides special emphasis for teachers of grades P-8 on understanding of the fundamental concepts of algebra with particular attention to specific methods and materials of instruction.(F,S)
Prerequisites: EDUC 2110, EDUC 2130, ISCI 2001, ISCI 2002, MATH 2008, COMM 1110, and PSYC 1101.

MATH 4001. History of Mathematics. 3-0-3 Units.

Examines major developments, central themes, and important issues in mathematics throughout history. Undertakes an overview of the historical development of the discipline by focusing on specific theories, problems, and results.(F)
Prerequisites: MATH 3101.

MATH 4101. Abstract Algebra I. 3-0-3 Units.

An axiomatic approach to algebraic structures. Topics include groups, permutations, homomorphisms, and factor groups.(F)
Prerequisites: MATH 3101.

MATH 4102. Abstract Algebra II. 3-0-3 Units.

Examines the central concepts of ring theory and field theory. Topics include modules, Galois theory, integral domains, and advanced linear algebra. Strongly recommended for students intending to complete a graduate degree in mathematics.(S)
Prerequisites: MATH 4101.

MATH 4201. Number Theory. 3-0-3 Units.

A study of elementary problems in number theory with topics from divisibility, congruences, residues, special functions, Diophantine equations, and continued fractions.(S)
Prerequisites: MATH 3101.

MATH 4301. Graph Theory. 3-0-3 Units.

Elementary theory of graphs and digraphs. Topics include connectivity, reconstructions, trees, Euler's problem, hamiltonicity, network flows, planarity, node and edge colorings, tournaments, matchings, and extremal graphs. A number of algorithms and applications are included.(F)
Prerequisites: MATH 3101.

MATH 4401. Operations Research. 3-0-3 Units.

Linear programming, the simplex method, network theory, game theory, Markov analysis, and other topics such as inventory analysis, queuing theory, integer programming.(S)
Prerequisites: MATH 3401.

MATH 4502. Statistics for Process Control. 3-0-3 Units.

Introduces application techniques used in quality/process control with particular application to area industries. Topics include probability, sampling distributions, control charts for variables and attributes, lot-by-lot sampling plans, acceptance sampling for variables, elementary reliability calculations, and an introduction to the concept of quality costs. Offered as needed.
Prerequisites: MATH 2181 and MATH 2200.

MATH 4511. Numerical Analysis I. 3-0-3 Units.

Numerical solution of equations, polynomial approximation, numerical differentiation and integration, numerical solutions of ordinary differential equations, error analysis. Written programs using algorithms.(F)
Prerequisites: MATH 2403 and CMPS 1301.

MATH 4512. Numerical Analysis II. 3-0-3 Units.

Numerical solutions of systems of linear equations, numerical computations of eigenvalues and eigenvectors, error analysis. Written programs using the algorithms.(S)
Prerequisites: MATH 2256 or CMPS 1301.

MATH 4601. Real Analysis I. 3-2-4 Units.

Develops a rigorous approach to functions of a real variable. Topics include limits, continuous functions, differentiation, and Riemann integration.(F)
Prerequisites: MATH 3101.

MATH 4602. Real Analysis II. 3-0-3 Units.

Continuous and rigorous approach to functions with an emphasis on functions in higher dimensions, including derivatives and intergrals in n-dimensional Euclidean space.(S)
Prerequisites: MATH 4601.

MATH 4611. Complex Analysis. 3-0-3 Units.

Complex numbers, analytic functions, complex series, Cauchy theory, residue calculus, conformal mapping.
Prerequisites: MATH 4601.

MATH 4701. Probability and Statistics I. 3-0-3 Units.

Sampling distributions, Normal, t, chi-square and F distributions. Moment generating function methods, Bayesian estimation and introduction to hypothesis testing.(F)
Prerequisites: MATH 2255.

MATH 4702. Probability and Statistics II. 3-0-3 Units.

Hypothesis testing, likelihood ration tests, nonparametric tests, bivariate and multivariate normal distributions.(S)
Prerequisites: MATH 4701.

MATH 4713. Prob & Stat for P-8 Teachers. 3-0-3 Units.

Provides special emphasis for teachers of grades P-8 on the fundamental concepts of probability and statistics with particular attention to specific methods and materials of instruction.(F,S,M)
Prerequisites: MATH 2008.

MATH 4800. Topology. 3-0-3 Units.

This course develops the concepts of open and closed sets, topological spaces, bases, subspaces, continuous functions, homeomorphisms, connected spaces and compact spaces.(F)
Prerequisites: MATH 3101.

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