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Mathematics

MAC 1105   COLLEGE ALGEBRA

credits: 3  
Prerequisite: MAT 1033 with a grade of C or better (recommend MAT 1033 taken within the last two years), or appropriate score on the SPC mathematics placement test. Major topics include: functions and functional notation; domains and ranges of functions; graphs of functions and relations; operations on functions; inverse functions; linear, quadratic and rational functions; absolute value and radical functions; exponential and logarithmic properties, functions and equations; systems of equations and inequalities; applications such as curve fitting, modeling, optimization, exponential and logarithmic growth and decay. (Credit is not given for both MAC 1105 and MAC 1106). 47 contact hours.

MAC 1106   COMBINED COLLEGE ALGEBRA/PRE-CALCULUS

credits: 5  

Prerequisite: MAT 1033 with a minimum grade of C or appropriate score on the SPC mathematics placement test. This course covers major topics to include: function and relations including domain and range, operations on functions, and inverse functions; polynomial, rational and other algebraic functions, their properties and graphs; polynomial, absolute value, and rational equations and inequalities; exponential and logarithmic functions, their properties and graphs; solving systems of equations and inequalities, matrices, and determinants; piecewise-defined functions; conic sections; sequences and series; applications such as curve fitting, modeling, optimization, and exponential and logarithmic growth and decay; mathematical induction; binomial theorem and applications. Credit is not given for both MAC 1106 and either MAC 1105 or MAC 1140. 77 contact hours.

MAC 1114   TRIGONOMETRY

credits: 3  

Prerequisite: MAC 1105 with a grade of C or better, or MAC 1106 with a grade of C or better, or appropriate score on the SPC mathematics placement test or program director approval. MAC 1114 may be taken concurrently with MAC 1140. This course is a study of trigonometry with emphasis on circular functions. Major topics include: trigonometric and circular functions, inverse trigonometric functions, identities, equations, solution of triangles, complex numbers, vectors, parametric equations, polar coordinates and applications. (Credit is not given for both MAC 1114 and MAC 1147.) 47 contact hours.

MAC 1140   PRE-CALCULUS ALGEBRA

credits: 3  
Prerequisite: MAC 1105 or appropriate score on mathematics placement test or program director approval. May be taken concurrently with MAC 1114. Major topics include: polynomial, rational and other algebraic functions, their properties and graphs; polynomial and rational inequalities; exponential and logarithmic functions, their properties and graphs; piecewise-defined functions; conic sections; matrices and determinants; sequences and series; mathematical induction; binomial theorem and applications. (Credit is not given for MAC 1140 and MAC 1106 or MAC 1140 and MAC 1147.) 47 contact hours.

MAC 1147   PRE-CALCULUS ALGEBRA/TRIGONOMETRY

credits: 5  
Prerequisite: High school trigonometry and MAC 1105 or appropriate score on the SPC mathematics placement test. This is an accelerated course covering the topics of both MAC 1140 and MAC 1114 in a single session and is intended primarily for the student who plans to take MAC 2311-2313. Major topics in algebra include: polynomial, rational and other algebraic functions, their properties and graphs; polynomial and rational inequalities; exponential and logarithmic functions, their properties and graphs; piecewise-defined functions; conic sections; matrices and determinants; sequences and series; mathematical induction; binomial theorem and applications. The trigonometry has emphasis on circular functions. Major topics in trigonometry include: trigonometric functions, their properties and graphs; inverse trigonometric equations; solutions of triangles; vector algebra; parametric equations; polar coordinates; applications. (Credit is not given for both MAC 1147 and either MAC 1140 or MAC 1114.) 77 contact hours.

MAC 2233   APPLIED CALCULUS I

credits: 3  
Prerequisite: MAC 1105 or MAC 1106 or satisfactory score on the Mathematics placement test or program director approval. This course is a geometric and heuristic approach to calculus: differentiation and integration of algebraic and exponential, and logarithmic functions, applications to graphing, marginal analysis, optimization and areas. This course cannot be used to satisfy requirements of students majoring in mathematics or engineering. (Credit is not given for both MAC 2233 and MAC 2311.) 47 contact hours.

MAC 2234   APPLIED CALCULUS II

credits: 3  
Prerequisite: MAC 2233 or appropriate score on the SPC mathematics placement test. This course is designed to follow MAC 2233 and includes topics from integral calculus, partial differentiation, and double integration. Emphasis is placed on applications in ecology, economics, geometry, physical sciences and business. (Credit is not given for both MAC 2234 and MAC 2312.) 47 contact hours.

MAC 2311   CALCULUS WITH ANALYTIC GEOMETRY I

credits: 5  
Prerequisite: (MAC 1106 and MAC 1114), or (MAC 1140 and MAC 1114), or (MAC 1147), or satisfactory score on the SPC mathematics placement test or program director approval. In this first course the topics include limits and continuity, the derivative of algebraic, trigonometric, logarithmic and exponential functions, implicit differentiation, applications of the derivative, differentials, indefinite and definite integrals, and applications of exponential functions. (Credit is not given for both MAC 2311 and MAC 2233.) 77 contact hours.

MAC 2311H   HONORS CALCULUS WITH ANALYTIC GEOMETRY I

credits: 5  
Prerequisite: (MAC 1140 and MAC 1114) or (MAC 1106 and MAC 1114) or (MAC 1147) or (acceptance into the Honors College) or approval of the program director. In this first course the topics include limits and continuity, the derivative of algebraic, trigonometric, logarithmic and exponential functions, implicit differentiation, applications of the derivative, differentials, indefinite and definite integrals, and applications of exponential functions. (Credit is not also given for MAC 2311 or MAC 2233.) 77 contact hours.

MAC 2312   CALCULUS WITH ANALYTIC GEOMETRY II

credits: 5  
Prerequisite: MAC 2311 or satisfactory score on the SPC mathematics placement test. This course is designed to follow MAC 2311. Topics include inverse trigonometric functions, hyperbolic and inverse hyperbolic functions, areas, volumes, centroids, work, fluid pressure, length of arc, trigonometric integrals, integration techniques, polar coordinates, indeterminate forms, improper integrals, infinite series, plane curves, parametric equations, conic sections, and computer work. (Credit is not also given for MAC 2234.) 77 contact hours.

MAC 2313   CALCULUS WITH ANALYTIC GEOMETRY III

credits: 4  
Prerequisite: MAC 2312 or satisfactory score on the SPC mathematics placement test. This course is designed to follow MAC 2312. Topics include vectors in the plane and space, three-dimensional surfaces, various coordinate systems, vector-valued functions, differential calculus of functions of several variables, gradients, directional derivatives, applications of partial derivatives, multiple integration, vector analysis, line integrals, surface integrals, and applications. 62 contact hours.

MAD 2104   DISCRETE MATHEMATICS

credits: 3  
Prerequisite: MAC 2311 or consent of instructor. This course is designed for those students who are majoring in computer science, engineering, mathematics and other highly technical fields. Topics include formal logic, set theory, combinatorics, mathematical induction, relations and functions, recursion, and graph theory. 47 contact hours.

MAD 3107   DISCRETE MATHEMATICAL STRUCTURES

credits: 3  

Prerequisite: MAC 2311 with a minimum grade of C or MAC 2311H with a minimum grade of C. This course is designed to give mathematics education majors a thorough understanding of the nature and importance of mathematical proof as well as provide knowledge of a variety of discrete mathematics topics. Topics include proofs and proof techniques, direct proof, proof by cases, proof using the contrapositive, proof by contradiction, proof by counterexample, mathematical induction, logical arguments, sets and relations including equivalence relations and partial orders, functions and their inverses and compositions, recursion and recurrence relations, probability, counting principles, permutations, combinations, graph theory, and trees. Special emphasis will be placed on mathematical reasoning. 47 contact hours. (Credit is not also given for MAD 2104.)

MAE 3320   INTERACTIVE MIDDLE SCHOOL MATHEMATICS PROJECTS

credits: 3  

Prerequisite : Admission to :Middle Grades Mathematics Education (5-9) BS, OR Secondary Mathematics Education (6-12) BS, OR ICERT-NO, OR RCERT-NO; Corequisite: MAE 3941. This course is designed for students who are majoring in mathematics education. In this course students learn principles of effective curriculum design and assessment and apply these principles by designing and developing interactive mathematics curriculum projects for middle school students. This course is offered concurrently with the one credit hour practicum, Interactive Middle School Mathematics Projects. This course addresses specific Next Generation Sunshine State Standards, and/or Common Core State Standards, and pedagogy pertinent to the discipline and required for certification. 47 contact hours.

MAE 3823   CONNECTIONS THROUGH ALGEBRAIC THINKING

credits: 4  

Prerequisite: Admission to Middle Grades Mathematics Education (5-9) BS, and DEP 3305, OR ICERT-NO, OR RCERT-NO. This course is designed to develop a background for the middle school mathematics teacher that will enable the teacher to understand the relationship between the brain and learning, the meaning of conceptual change, some of the history of symbolic language, the geometric terms used for shapes and simple relationships, the significance of readiness for abstract thought and the importance of variety in teaching through presentations that utilize technology and connections to out-of-school experiences. The course will emphasize the constructivist approach and the teaching of solving problems mathematically. The course will utilize Next Generation Sunshine State Standards (NGSSS), and/or Common core State Standards in problem solving in algebraic and geometric applications as well as applications with basic numerical operations. 62 contact hours.

MAE 3941   INTERACTIVE MIDDLE SCHOOL MATHEMATICS PROJECTS PRACTICUM

credits: 1  

Prerequisite(s): Admission to Secondary Math Education BS or Middle Grades Math Education BS. Corequisite(s): MAE 3320. This course is designed for students who are majoring in mathematics education. This practicum accompanies Interactive Middle School Mathematics Projects. Students spend a minimum of sixty (60) school-based hours in the middle school classroom. 17 contact hours.
 

MAE 4330   INSTRUCTIONAL METHODS IN SECONDARY MATHEMATICS WITH TECHNOLOGY

credits: 3  

Prerequisite: Admission to Secondary Math Education OR Secondary Math EPI, and Corequisite MAE 4942 with a minimum grade of C. This course is designed for students who are majoring in secondary mathematics education or middle grades math education and is offered concurrently with Instructional Methods in Secondary Mathematics with Technology Practicum. This course addresses the required instructional methods, techniques, strategies, resources, and assessment considerations for effective teaching of secondary mathematics. It also incorporates appropriate technology to support the learning of mathematics. This course addresses specific Next Generation Sunshine State Standards, and/or Common Core State Standards, and pedagogy pertinent to the discipline and required for certification. 47 contact hours.

MAE 4642   ASSESSING COGNITIVE AND AFFECTIVE ISSUES IN LEARNING MATHEMATICS

credits: 2  

Prerequisites: Admission to : Middle Grades Mathematics Education (5-9) BS, and EDF 3214 or DEP 3305 OR Secondary Mathematics Education (6-12) BS, and EDF 3214, OR DEP 3305, OR ICERT-NO, OR RCERT-NO. This course is designed for students who are majoring in mathematics education and who will be obtaining teacher certification in grades 5 -12. This course assesses research-based evidence of cognitive and affective factors that impede or enhance learning (e.g., learner characteristics, what makes learning a particular concept difficult, teaching methodologies for specific areas of content) and applies this evidence to the teaching of mathematics. It emphasizes pedagogical reflection and problem solving by means of active learning strategies, physical and visual materials, print and electronic resources and effective questioning and communicating. This course addresses specific subject matter competencies and pedagogy pertinent to the discipline and Common Core State Standards and required for certification. 32 contact hours.

MAE 4940   INTERNSHIP: SECONDARY MATHEMATICS EDUCATION 6-12

credits: 12  

Prerequisites: Successful completion of all Secondary Mathematics Education BS program requirements and passing of all sections of the General Knowledge and Professional Education Exam. This course requires a teacher candidate to demonstrate competency on the Florida Educator Accomplished Practices (FEAPs) at the pre-professional level during one semester of full time internship in a 6-12 school setting as approved by the College of Education. Teacher candidates must assume full-day teaching duties for a minimum of six weeks during the fifteen week internship. The internship also includes mandatory on-campus seminars. Contact hours: a minimum of 35 hours per week for 15 weeks.

MAE 4942   INSTRUCTIONAL METHODS IN SECONDARY MATHEMATICS WITH TECHNOLOGY PRACTICUM

credits: 1  

Prerequisite: Admission to MTSED-BS, MGMED-BS; Corequisite(s): MAE 4330. This course is designed for students who are majoring in mathematics education and is offered concurrently with Instructional Methods in Secondary Mathematics with Technology. This course provides students with opportunities to apply the knowledge of teaching methods, techniques, and strategies learned in Instructional Methods in Secondary Mathematics with Technology. There are sixty (60) school-based hours of teaching/observation required and will be coordinated with in-service high school teachers and their curriculum schedules and needs. 17 contact hours

MAE 4943   INTERNSHIP: MIDDLE GRADES MATHEMATICS EDUCATION 5-9

credits: 12  

Prerequisites: This course requires a teacher candidate to demonstrate competency on the Florida Educator Accomplished Practices (FEAPs) at the pre-professional level during one semester of full time internship in a 5-9 public or private school setting as approved by the Dean College of Education. Teacher candidates must assume full-day teaching duties for a minimum of six weeks during the fifteen week internship. The internship also includes a series of mandatory professional leadership on-campus seminars. Contact hours: 525

MAP 2302   DIFFERENTIAL EQUATIONS

credits: 3  

Prerequisite: MAC 2312 or appropriate score on the mathematics placement test. This course covers the basic methods and fundamental theorems of ordinary differential equations with applications in the natural sciences and engineering. Topics are the following: solutions of first order differential equations of types - namely separable, exact, homogeneous, linear, Bernoulli; solutions of nth-order linear differential equations; solutions by series; Laplace transforms; and systems of linear differential equations. 47 contact hours.

MAS 3105   LINEAR ALGEBRA WITH APPLICATIONS

credits: 4  

Prerequisite: MAC 2312. This course is designed for students who are majoring in secondary mathematics education, mathematics, science or engineering. This course provides a thorough treatment of linear algebra using a matrix-oriented approach. Major topics include: matrices, systems of linear equations, linear transformations, determinants, eigenvectors and eigenvalues, vector spaces, subspaces, inner product spaces, and orthogonality. Emphasis is on development of algebraic reasoning abilities in analyzing conceptual relationships. (Credit is not also given for MAS 2103.) 62 contact hours.

MAS 4203   NUMBER THEORY

credits: 3  

Prerequisites: MAC 2312. This course is designed for students who are majoring in secondary mathematics education, mathematics, science or engineering. This course offers an investigative approach to number theory in which students develop their capacity to formulate conjectures and explore their ideas and inquiries through the use of technology. Formal proofs are constructed in order to develop concepts in number theory. Major topics include: divisibility, the Euclidean algorithm, Diophantine equations, factorization, the Fundamental Theorem of Arithmetic, prime numbers, congruences, and number-theoretic functions. Emphasis is on gaining an understanding of the nature of mathematical thinking and learning. This course is required for Mathematics Education majors. 47 contact hours.

MAS 4301   INTRODUCTORY ABSTRACT ALGEBRA

credits: 3  

Prerequisites: MAS 3105. This course is designed for students majoring in secondary mathematics education, mathematics, science or engineering. This course presents an introduction to the basic structures of abstract algebra with the aim of connecting these structures to high school mathematics curricula. Major topics include: groups and subgroups, permutations and symmetries, properties of the integers, rings and subrings, ideals, integral domains, and fields. Emphasis is on developing understanding through active investigation of the concepts presented. Emphasis is also given to development of algebraic reasoning abilities in analyzing conceptual relationships. 47 contact hours.

MAT 0018   DEVELOPMENTAL MATHEMATICS I

credits: 3  

This course # was formerly MAT 0012.  College Preparatory credits (0### designations) may not be used towards graduation credits or to satisfy degree requirements. Prerequisite(s): Appropriate score on the SPC mathematics placement test. This is the first course in the college-preparatory two-course sequence (MAT 0018 and MAT 0028) designed to prepare students for college-level mathematics courses. This course is a study of the basic skills and concepts of pre-algebra from the point of view of the college student who needs an understanding of pre-algebra. Major topics include operations with integers, fractions, decimals, percents, geometric figures and their measures (including application problems), and other pre-algebra topics. A minimum course grade average of C (minimum 70% accuracy) is required for successful completion.  47 - 62 contact hours.

MAT 0022   DEVELOPMENTAL MATHEMATICS

credits: 5  

College Preparatory credits (0### designations) may not be used towards graduation credits or to satisfy degree requirements. This is a developmental mathematics course which combines the two-course sequence MAT 0018 and MAT 0028, designed to prepare students for college-level mathematics courses. This course combines the study of the basic skills and concepts of pre-algebra with the basic skills and concepts of elementary algebra from the view of a college student who needs an understanding of both pre-algebra and elementary algebra. Major topics include operations with integers, fractions, decimals, percents, geometric figures and their measures (including application problems), and other pre-algebra topics, and operations with signed rational numbers, simple linear equations and inequalities in one variable, operations on polynomials (including beginning techniques of factoring), integer exponents, brief introduction to radicals, introduction to graphing, applications, and other elementary algebra topics. 77 contact hours.

MAT 0028   DEVELOPMENTAL MATHEMATICS II

credits: 4  

This course # was formerly MAT 0024. College Preparatory credits (0### designations) may not be used towards graduation credits or to satisfy degree requirements. Prerequisite(s): MAT 0018 or appropriate score on the SPC mathematics placement test. This is the second course in the college-preparatory two-course sequence (MAT 0018 and MAT 0028) designed to prepare students for college-level mathematics courses. This course is a study of the basic skills and concepts of basic algebra from the view of a college student who needs an understanding of basic algebra. Major topics include operations on signed rational numbers, simple linear equations and inequalities in one variable, operations on polynomials (including beginning techniques of factoring), integer exponents, brief introduction to radicals, introduction to graphing, applications, and other basic algebra topics. A minimum course grade average of C (minimum 70% accuracy) is required for successful completion.  47 - 62 contact hours.

MAT 0055   Gateway to Intermediate Algebra

credits: 1  

College Preparatory credits (0### designations) may not be used towards graduation credits or to satisfy degree requirements. Prerequisite: Appropriate score on the SPC mathematics placement test or permission of a Mathematics Department program administrator. This flexible entry/exit college preparatory course is designed for college students who require only a limited amount of concept reinforcement to prepare them for Intermediate Algebra. Course strategies include one-on-one instruction, small group instruction, and computer instruction in a lab setting. A diagnostic assessment will determine placement into course modules as well as exit requirements. This course is intended to prepare students for successful entry into college-level course work.

MAT 0056   Elementary Algebra-My Bridge to Success

credits: 2  

This course # was formerly MAT 0990. College Preparatory credits (0### designations) may not be used towards graduation credits or to satisfy degree requirements. Prerequisite: Appropriate score on the SPC mathematics placement test or permission of a Mathematics Department program administrator. This flexible entry/exit college preparatory course is designed to improve the basic skills and concepts of elementary algebra from the view of a college student who needs an understanding of basic algebra. Course strategies will include one-on-one instruction, small group instruction, and computer instruction in a lab setting. A diagnostic assessment will determine placement into course modules as well as exit requirements. This course is intended to prepare students for successful entry into college-level course work. 17 contact hours minimum.

MAT 1033   INTERMEDIATE ALGEBRA

credits: 3  

Prerequisite: MAT 0028 or appropriate score on the mathematics placement test. Major topics include factoring, algebraic fractions, radicals and rational exponents, complex numbers, quadratic equations, rational equations, linear equations and inequalities, systems of linear equations and inequalities, introduction to functions and applications. 47 contact hours.

MAT 1100   Exploration of Mathematics and Quantitative Reasoning

credits: 3  

Prerequisite: MAT 0028 with a minimum grade of C or MAT 0055 with a minimum grade of C or MAT 0056 with a minimum grade of C or appropriate score on the mathematics placement test. This course builds the foundation for understanding selected concepts taken from topics which include algebra, set theory, logic, geometry, probability, and statistics. Critical thinking skills, problem solving strategies, communicating mathematically, and appropriate use of technology will be incorporated throughout the course via activities and projects. 47 contact hours.

MGF 1106   MATHEMATICS FOR LIBERAL ARTS I

credits: 3  

Prerequisite:  MAT 1100 with a minimum grade of C, or MAT 1033,  or appropriate score on the SPC mathematics placement test. This course is a general survey course in mathematics and covers a number of traditional, independent topics and will include topics related to mathematical logic, sets and systematic counting, probability, statistics, geometry and critical thinking skills. This course satisfies three credits of the mathematics requirements outlined in the General Education Requirements, but is not a prerequisite to any other mathematics course. (Credit will be given only for MGF 1113 or MGF 1106.) 47 contact hours.

MGF 1107   MATHEMATICS FOR LIBERAL ARTS II

credits: 3  

Prerequisite: MAT 1100 with a minimum grade of C, or MAT 1033, or appropriate score on the SPC mathematics placement test.This course presents topics demonstrating the beauty and utility of mathematics to the general student population and to provide knowledge and skills useful for college, life, and career. The course will include topics related to patterns and reasoning, growth and symmetry, linear and exponential growth, and personal finance; mathematical connections with music, art, architecture and nature will be explored. History of mathematics, critical thinking skills, problem solving strategies and appropriate use of technology will be used throughout the course. This course satisfies three credits of the mathematics requirements outlined in the General Education Requirements, but is not a prerequisite to any other mathematics course. (MGF 1106 and MGF 1107 may be taken concurrently.) 47 contact hours.

MGF 1108H   HONORS MATHEMATICAL IDEAS AND EXPLORATIONS

credits: 3  

Prerequisites:  MAT 1100 with a minimum grade of C, or MAT 1033, or appropriate score on the SPC mathematics placement test. The curriculum is designed to provide the student with the knowledge and skills useful for college, life and career. The course will involve problem-based learning about topics that cross disciplines. These topics include probability, statistics, geometry, modeling, and mathematical connections with music, art, architecture, nature and the business world. Critical thinking skills, problem solving strategies and appropriate use of technology will be used throughout the course. 47 contact hours.

MGF 4301   TRANSITIONS TO ADVANCED MATHEMATICS

credits: 3  

Prerequisite: MAD 3107 and MAS 3105. This course is an introduction to the axiomatic nature of mathematics through topics in areas such as set theory, relations, functions, algebra, and analysis. The rigor of precise definitions, theorems, and proofs will be emphasized. 47 contact hours.

MHF 4404   PERSPECTIVES IN MATHEMATICS

credits: 3  

Prerequisites: MAC 2311 with a "C" or better. This course is designed for students who have an interest in the history of mathematics. This course consists of readings in the history and philosophy of mathematics and in current issues involving mathematics and society. Contributions from mathematicians such as Archimedes, Cardan, Descartes, Diophantus, Euler, Fermat, Galileo, Gauss, Leibniz, al-Khwarizmi, Newton, Noether and Ramanujan are discussed. Emphasis is given to how mathematics relates across disciplines as well as mathematical connections within the discipline. 47 contact hours.

MTG 3212   MODERN GEOMETRIES

credits: 4  

Prerequisite: MAC 2311 with a grade of "C" or better. This course presents the axioms, basic concepts, proofs and constructions of Euclidean geometry involving line segments, angles, triangles, polygons, circles, parallel lines and similarity. Constructions are made using both compass and straightedge and interactive geometry software. The course also presents basic concepts of non-Euclidean geometries including hyperbolic and spherical. Emphasis is on using technology to make conjectures and discoveries concerning geometrical relationships and then constructing proofs to verify the relationships. 62 contact hours.

STA 2023   ELEMENTARY STATISTICS

credits: 3  

Prerequisite: MAT 1033 with a grade of “C” or better (recommend MAT 1033, with a grade of “C” or better taken within the last two years), or MAT 1100  with a minimum grade of C or appropriate score on the SPC mathematics placement test. This course includes concepts taken from topics which include descriptive statistics, measures of central tendency and dispersion, probability, probability distributions, relative frequency distributions, sampling distributions, binomial distribution, normal distribution, the student's t distribution, the Chi-square distribution, estimation using confidence intervals, hypothesis testing, linear regression, correlation, and nonparametric statistics.  Credit is not also given for STA 2023H. 47 contact hours.

STA 2023H   HONORS ELEMENTARY STATISTICS

credits: 3  

Prerequisite: Appropriate score on the SPC placement test or MAT 1033 with a minimum grade of C or MAT 1100 with a minimum grade of C. This course includes concepts taken from topics which include descriptive statistics, measures of central tendency and dispersion, probability, probability distributions, relative frequency distributions, sampling distributions, binomial distribution, normal distribution, the student's t distribution, the Chi-square distribution, estimation using confidence intervals, hypothesis testing, linear regression , correlation, and nonparametric statistics. The course also includes data-driven decision-making and communication of statiscal results of the included topics Credit is not also given for STA 2023. 47 contact hours.


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