Department of Mathematics - Course Offerings

**College preparatory. Credit not applied toward degree. In addition to classroom time, this course requires two (2) hours per week in the Center for Personalized Instruction.

This course teaches students to transition from arithmetic to algebra. Algebra concepts (variables, signed number, order of operations, and equations) are introduced early and then repeated with traditional arithmetic concepts (fractions, decimals, and percent). College preparatory. Credit not applied toward degree. In addition to classroom time, this course requires two (2) hours per week in the Academic Support Center.

Prerequisites placement scores.

This course prepares students for MAT-1033. Topics include properties of integers and rational numbers, integer exponents, simple linear equations and inequalities, operations on polynomials including beginning techniques of factoring, introduction to graphing, and introduction to operations on rational expressions. College preparatory. Credit not applied toward degree. In addition to classroom time, this course requires two (2) hours per week in the Academic Support Center.

Prerequisites MAT 0018 with a grade of "C" or higher, or placement scores.

*GORDON RULE COURSE – must achieve a grade of "C" or higher for the A.A. and A.S. Degrees.

This course covers the following topics: factoring, algebraic fractions, radical and rational equations, complex numbers, quadratic equations, rational equations, linear equations and inequalities in one and two variables and their graphs, systems of linear equations and inequalities, and introduction to functions.

Prerequisite: none.

This course is designed to prepare non-STEM (i.e., Science, Technology, Engineering, & Mathematics) majors for the mathematical courses:

Prerequisite: none.

This course covers the following topics: functions and functional notation, domain and ranges of functions, graphs of functions and relations, operations on functions, inverse functions, polynomial and rational functions, absolute value and radical functions, exponential and logarithmic properties, functions, and equations; and systems of equations and

inequalities. A graphics calculator is required for this course.

Prerequisite: MAT 1033 with a grade of "C" or better, or placement scores.

This covers the following topics: trigonometric and inverse trigonometric functions with their properties and graphs, trigonometric identities, conditional trigonometric equations, solutions of triangles, vector algebra, parametric equations, polar coordinates, and applications. This course requires a graphic calculator.

Prerequisite: MAC 1105 with a grade of "C" of higher, or placement scores.

This course is required for students who need calculus. Topics in this course include polynomial, rational, exponential and logarithmic functions with their properties and graphs, polynomial and rational inequalities, conic sections, matrices and determinants, sequences and series, mathematical induction, and Binomial theorem and application. A graphics calculator is required for this course.

Prerequisite: MAC 1105 with a grade of "C" or higher, or placement scores.

This is a one-semester course combining Precalculus Algebra and Trigonometry. The topics covered are algebraic functions (polynomial, rational, exponential, logarithmic, and piecewise), their properties and graphs; polynomial and rational inequalities; conic sections; matrices and determinants; sequences and series; mathematical induction; binomial theorem; trigonometric functions, their properties and graphs; inverse trigonometric functions, their properties and graphs; trigonometric identities; trigonometric equations; solutions of triangles; vector algebra; parametric equations; polar coordinates; and their applications.

Prerequisite: MAC 1105 with a grade of "C" or higher.

This course is for business students. Major topics include limits, differentiation and integration of algebraic functions, exponential and logarithmic functions, areas, and applications of the preceding topics to problems in business. Prerequisite: MAC 1105 with a grade of "C" or higher, or placement scores.

This course is for students who need calculus for engineering, math, and science programs. Major topics include limits, differentiation of algebraic, exponential, logarithmic, and trigonometric functions; and applications of derivatives. The definite integral is developed, and its applications are investigated. Offered Fall, Spring, and Summer, spanning both summer sessions.

Prerequisites: MAC 1114 and MAC 1140 with a grade of "C" or higher, or placement scores. A graphics calculator is required.

This course includes techniques of integration; applications of integration including arc length, volume, and work; polar coordinates, indeterminant forms, improper integrals, sequences, and series.

Prerequisite: MAC 2311.

This course includes calculus of several variables including limits, partial derivatives, multiple integrals, vector functions, line integrals, cylindrical, and spherical coordinates.

Prerequisites: MAC 2312.

This course teaches the following topics: sets, functions, relations, combinatory, prepositional logic, graphs and trees, and applications.

Prerequisite: MAC1105 with a grade of "C" or higher.

This course includes solutions of first order differential equations and applications, solutions of second order linear differential equations and applications, series solutions, numerical methods, and the Laplace transform.

Prerequisite: MAC 2312.

This course includes systems of linear equations, matrices, linear transformations, determinants, eigenvalues spectral theorem, and geometric applications of vectors. Offered in Fall only.

Prerequisite: MAC 2311 and student must score into college-level reading on placement test.

Prerequisite/ Corequisite: MAC 2312.

This course includes logic, geometry, probability and counting principles, descriptive statistics, sets and Venn diagrams, reasoning patterns, and a history of mathematics. The purpose of MGF 2106 and MGF 2107 is

to present the utility of mathematics to students who do not intend to take other mathematics courses. MGF 2106 is not open to students with credit in MGF 2202.

Prerequisite: MAT 1033 or MAT1100 with a grade of "C" or higher or placement scores.

This course includes topics from financial mathematics, linear and exponential growth and decay, numbers and number systems, elementary number theory, right-triangle trigonometry, and a history of mathematics. The purpose of MGF 2107 is to present the utility of mathematics to students who do not intend to take other mathematics courses.

Prerequisite: MAT 1033 or MAT1100 with a grade of "C" or higher or placement scores.

This course presents the content of elementary geometry. Topics include lines and angle relationships, properties of parallel lines, congruency and similarity in triangles, types of quadrilaterals, area, volumes,

and properties of circles. Methods of proof using logic principles and compass and straight-edge construction are emphasized throughout.

Prerequisite: MAT 1033 with a grade of "C" or higher, or placement scores.

This course assists students in confronting, understanding, and overcoming their math anxiety while learning good math study skills, relevant math applications, and the use of concrete math manipulatives.

This course includes measures of central tendency and variability, probability, random variables, normal and binomial distributions, confidence intervals, tests of hypotheses, correlation and simple linear regression, descriptive and inferential techniques and concepts which apply to sample data which has been gathered from a population. Prerequisite: MAT 1033 or MGF2106 with a grade of "C" or higher (MAC 1105 is recommended), or placement scores.

This course teaches propositional logic, counting techniques, permutations, combinations, recurrence relations, graph and digraphs, and network algorithms.

Prerequisite: MAD 2104 with a grade of "C" or higher.

This course provides a thorough treatment of linear algebra using a matrix-oriented approach, theory, and application projects. Major topics include matrices, systems of linear equations, linear transformations, determinants and their properties, eigenvectors and eigenvalues, vector spaces and subspaces, inner product spaces, orthogonality, similarity, and diagonalization. This course includes both theory and computational skills. For math majors, this course serves as a transition from a study of techniques to more conceptual math. For engineering and science majors, this course serves as a foundation in linear algebra.

Prerequisites MAC 2312

Examples of sets, operations on sets, set algebra, Venn diagrams, truth tables, tautologies, applications to mathematical arguments and mathematical induction.

Prerequisites: grade of C or better in a 2000 level math course.

This course provides axiomatic treatment of topics in Euclidean geometry, Non-Euclidean geometry, and various subcategories of geometry, such as hyperbolic, projective, and fractal geometries.

Prerequisites MAC 2312

This course provides further techniques in ordinary differential equations and an introduction to partial differential equations.

Prerequisites MAC 2312, MAP 2302 with a grade of "C" or higher.

This course teaches students how to explore relationships and formulate conjectures in the areas of divisibility, congruence, Diophantine equations, the Euclidean algorithm, and number-theoretic functions. Formal proofs are developed to support these conjectures. Other topics include the Fundamental Theorem of Arithmetic and classical theorems of number theory. Development of mathematical thinking is emphasized.

Prerequisites MAC 2313

This course is designed as a capstone course for those students who are majoring in secondary mathematics education. 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, Descartes, Fermat, Newton, Leibnitz, Euler and Gauss are discussed. Emphasis is given to how mathematics relates across disciplines as well as mathematical connections within the discipline. Fundamental ideas of high school mathematics are examined from an advanced standpoint. This course addresses specific Sunshine State Standards, subject matter competencies, and pedagogy pertinent to the discipline and required for certification.

Mathematics Education Courses

This course teaches various math topics designed for preservice teachers and educators with an emphasis on the Sunshine State Standards.

Prerequisite: permission of instructor.

This course is designed for pre-service and practicing middle and high school math teachers. It includes the use of innovative computer software and graphing calculators for students to experience learning mathematics with technology at the middle and secondary school levels. The use and integration of dynamic geometry software, computer algebra, electronic spreadsheets, data analysis, and instructional software are studied from a problem-solving perspective. Students also create programs on a graphing calculator. This course addresses specific Florida Sunshine State Standards, subject matter competencies, and pedagogy pertinent to the discipline and is required for certification. A programmable graphing calculator is required for this course.

Prerequisites EME 3410 or consent of the Department Chair.

This course teaches a variety of traditional and innovative geometric topics via a hands-on approach. This course presents the axioms, basic concepts, proofs and constructions of Euclidean geometry involving line segments, angles, triangles, polygons, circles, parallel lines and similarity. Basic concepts of non-Euclidean geometries are explored. The course focuses on proficiencies related to geometric reasoning to develop effective strategies for understanding geometry from conceptual, representational, and problem-solving perspectives. Development of critical mathematical reasoning and application of theories using technology are emphasized. Not open to students majoring in mathematics.

Prerequisites MAC 2311

This course teaches the general math skills needed for successfully tutoring in an academic setting, general methods of tutoring, and the tutoring techniques needed in specific courses. Teacher-tutor seminars, teacher-tutor conferences, and formal instruction supplement the extensive tutoring experiences. Nine (9) hours of math content courses or permission of instructor required.

Prerequisites EDF 3214 & 9 hours of math content courses

This course teaches the general math skills needed for successfully tutoring in an academic setting, general methods of tutoring, and the tutoring techniques needed in specific courses. Teacher-tutor seminars, teacher-tutor conferences, and formal instruction supplement the extensive tutoring experiences. Completion of nine (9) hours of math content courses or permission of instructor required.

Prerequisites EDF 3214

Practicum This course provides the opportunities to present interactive curriculum projects to middle school students in local area school districts. Students spend a minimum of 30 school-based hours in the middle school classroom. Project presentations are coordinated with in-service middle school teachers and their curriculum schedules and needs. This course addresses specific Sunshine State Standards, subject matter competencies, and pedagogy pertinent to the discipline and required for certification. This course is designed for students majoring in mathematics education and who will be obtaining teacher certification in grades 5-9 or 6-12.

Prerequisites EDF 2005, EDF 2085, EME 2040, EDF 3214, nine (9) hours of math content courses.

Corequisites Middle Grades MAE 4363 or Secondary Mathematics EDG 3343.

This course is one of four courses designed to prepare students for teaching middle grades Math and Exceptional Student Education (ESE). Concepts include integers; rational numbers; variables; polynomials and factoring; linear equations; integer exponents; square roots of monomial expressions; and real numbers. ESE teaching strategies and state certification preparation are also presented.

Prerequisites Student must have have Florida Exceptional Student Education certification.

This course is one of four courses designed to prepare students for teaching middle grades Math and Exceptional Student Education (ESE). Concepts include radicals and radical equations; rational exponents; rational and irrational expressions; systems of linear equations and inequalities; and functions. ESE teaching strategies and state certification preparation are also presented.

Prerequisites Florida ESE certification required.

This course is one of four courses designed to prepare students for teaching middle grades Math and Exceptional Student Education (ESE). Concepts include methods of random sampling and data analysis; how to organize and display data; measures of central tendency; measures of dispersion; normal distribution; correlation and regression; types of probability, events and counting methods; calculating simple and joint probability; logical and compound statements; conditional, biconditional and quantified statements; and Euler diagrams. ESE teaching strategies and state certification preparation are also presented.

Prerequisites Florida ESE certification required.

This course is one of four courses designed to prepare students for teaching middle grades Math and Exceptional Student Education (ESE). Concepts include metric system conversions; weight and temperature measurements; points, lines, planes and angles; triangles and right triangles; polygons, perimeter and area; transformation; dilation; tessellation; net; and volume. ESE teaching strategies and state certification preparation are also presented.

This course teaches principles of effective curriculum design and assessment. It addresses the required methods, techniques, strategies, and resources for effective teaching of mathematics. It addresses specific Sunshine State Standards, subject matter competencies, and pedagogy pertinent to the discipline and required for certification.

Prerequisites EDF 3214, EDG 3343, Middle Grades MAE 4941, Secondary Mathematics MAE 3940.

Corequisites Middle Grades MAE 3940 or Secondary Mathematics MAE 4941.

This course teaches how to investigate the conceptual nature of mathematics and algebra. The students explore topics in set theory, number systems, number theory, data analysis, algebraic structures and elementary probability. Development of critical mathematical reasoning and application of theories using technology are emphasized.

Prerequisites MAC 2311

This course teaches instructional strategies, planning techniques, evaluation procedures and class management skills. Senior level status with all program requirements met, and permission of clinical education coordinator required.

Prerequisites MAE 4945

This course is the practicum that provides the opportunities to present interactive curriculum projects to secondary school students in local area school districts. Students spend a minimum of 30 school-based hours in the secondary school classroom. Project presentations are coordinated with in-service secondary school teachers and their curriculum schedules and needs. This course addresses specific Sunshine State Standards, subject matter competencies, and pedagogy pertinent to the discipline and required for certification. This course is for education majors and those who will be obtaining teacher certification in grades 5-9 or 6-12.

Prerequisites EDF 2005, EDF 2085, EME 2040, EDF 3214, nine (9) hours of math content courses.

Corequisites Middle Grades EDG 3343 or Secondary Mathematics MAE 4363.

This course requires a teacher candidate to demonstrate pre-professional competencies during a 16 week, full-time internship in a public school approved by the department. Contact hours: a minimum of 35 hours per week for 15 weeks. Senior level status with all program requirements met, and permission of clinical education coordinator required.

Prerequisites MAE 4932

**College preparatory. Credit not applied toward degree. In addition to classroom time, this course requires two (2) hours per week in the Center for Personalized Instruction.

****MAT 0018 Prep Math I, 3 credits**This course teaches students to transition from arithmetic to algebra. Algebra concepts (variables, signed number, order of operations, and equations) are introduced early and then repeated with traditional arithmetic concepts (fractions, decimals, and percent). College preparatory. Credit not applied toward degree. In addition to classroom time, this course requires two (2) hours per week in the Academic Support Center.

Prerequisites placement scores.

****MAT 0028 Prep Math II, 3 credits**This course prepares students for MAT-1033. Topics include properties of integers and rational numbers, integer exponents, simple linear equations and inequalities, operations on polynomials including beginning techniques of factoring, introduction to graphing, and introduction to operations on rational expressions. College preparatory. Credit not applied toward degree. In addition to classroom time, this course requires two (2) hours per week in the Academic Support Center.

Prerequisites MAT 0018 with a grade of "C" or higher, or placement scores.

*GORDON RULE COURSE – must achieve a grade of "C" or higher for the A.A. and A.S. Degrees.

**MAT 1033 Intermediate Algebra, 3 credits**This course covers the following topics: factoring, algebraic fractions, radical and rational equations, complex numbers, quadratic equations, rational equations, linear equations and inequalities in one and two variables and their graphs, systems of linear equations and inequalities, and introduction to functions.

Prerequisite: none.

**MAT 1100 Quantitative Reasoning, 3 credits**This course is designed to prepare non-STEM (i.e., Science, Technology, Engineering, & Mathematics) majors for the mathematical courses:

*Survey in Mathematics*(MGF2106) and*Explorations in Mathematics*(MGF2107), which is the recommended follow-up course. After successful completion of MGF2106, the student may also take*Introductory Statistics*(STA2023). Additionally, this course builds the foundation for topics which include algebra, set theory, logic, geometry, probability, and statistics; and it develops mathematical maturity and self-efficacy through critical thinking skills, problem solving strategies, and communicating mathematically.Prerequisite: none.

***MAC 1105 College Algebra, 3 credits**This course covers the following topics: functions and functional notation, domain and ranges of functions, graphs of functions and relations, operations on functions, inverse functions, polynomial and rational functions, absolute value and radical functions, exponential and logarithmic properties, functions, and equations; and systems of equations and

inequalities. A graphics calculator is required for this course.

Prerequisite: MAT 1033 with a grade of "C" or better, or placement scores.

***MAC 1114 Plane Trigonometry, 3 credits**This covers the following topics: trigonometric and inverse trigonometric functions with their properties and graphs, trigonometric identities, conditional trigonometric equations, solutions of triangles, vector algebra, parametric equations, polar coordinates, and applications. This course requires a graphic calculator.

Prerequisite: MAC 1105 with a grade of "C" of higher, or placement scores.

***MAC 1140 Precalculus Algebra, 3 credits**This course is required for students who need calculus. Topics in this course include polynomial, rational, exponential and logarithmic functions with their properties and graphs, polynomial and rational inequalities, conic sections, matrices and determinants, sequences and series, mathematical induction, and Binomial theorem and application. A graphics calculator is required for this course.

Prerequisite: MAC 1105 with a grade of "C" or higher, or placement scores.

***MAC 1147 Precalculus/Trigonometry, 5 credits**This is a one-semester course combining Precalculus Algebra and Trigonometry. The topics covered are algebraic functions (polynomial, rational, exponential, logarithmic, and piecewise), their properties and graphs; polynomial and rational inequalities; conic sections; matrices and determinants; sequences and series; mathematical induction; binomial theorem; trigonometric functions, their properties and graphs; inverse trigonometric functions, their properties and graphs; trigonometric identities; trigonometric equations; solutions of triangles; vector algebra; parametric equations; polar coordinates; and their applications.

Prerequisite: MAC 1105 with a grade of "C" or higher.

***MAC 2233 Business Calculus I, 3 credits**This course is for business students. Major topics include limits, differentiation and integration of algebraic functions, exponential and logarithmic functions, areas, and applications of the preceding topics to problems in business. Prerequisite: MAC 1105 with a grade of "C" or higher, or placement scores.

***MAC 2311 Calculus I with Analytic Geometry, 5 credits**This course is for students who need calculus for engineering, math, and science programs. Major topics include limits, differentiation of algebraic, exponential, logarithmic, and trigonometric functions; and applications of derivatives. The definite integral is developed, and its applications are investigated. Offered Fall, Spring, and Summer, spanning both summer sessions.

Prerequisites: MAC 1114 and MAC 1140 with a grade of "C" or higher, or placement scores. A graphics calculator is required.

***MAC 2312 Calculus II, 4 credits**This course includes techniques of integration; applications of integration including arc length, volume, and work; polar coordinates, indeterminant forms, improper integrals, sequences, and series.

Prerequisite: MAC 2311.

***MAC 2313 Calculus III, 5 credits**This course includes calculus of several variables including limits, partial derivatives, multiple integrals, vector functions, line integrals, cylindrical, and spherical coordinates.

Prerequisites: MAC 2312.

***MAD2104 Discrete Mathematics, 3 credits**This course teaches the following topics: sets, functions, relations, combinatory, prepositional logic, graphs and trees, and applications.

Prerequisite: MAC1105 with a grade of "C" or higher.

***MAP 2302 Differential Equations, 3 credits**This course includes solutions of first order differential equations and applications, solutions of second order linear differential equations and applications, series solutions, numerical methods, and the Laplace transform.

Prerequisite: MAC 2312.

***MAS 2103 Linear Algebra, 3 credits**This course includes systems of linear equations, matrices, linear transformations, determinants, eigenvalues spectral theorem, and geometric applications of vectors. Offered in Fall only.

Prerequisite: MAC 2311 and student must score into college-level reading on placement test.

Prerequisite/ Corequisite: MAC 2312.

***MGF 2106 Survey in Mathematics, 3 credits**This course includes logic, geometry, probability and counting principles, descriptive statistics, sets and Venn diagrams, reasoning patterns, and a history of mathematics. The purpose of MGF 2106 and MGF 2107 is

to present the utility of mathematics to students who do not intend to take other mathematics courses. MGF 2106 is not open to students with credit in MGF 2202.

Prerequisite: MAT 1033 or MAT1100 with a grade of "C" or higher or placement scores.

***MGF 2107 Explorations in Mathematics, 3 credits**This course includes topics from financial mathematics, linear and exponential growth and decay, numbers and number systems, elementary number theory, right-triangle trigonometry, and a history of mathematics. The purpose of MGF 2107 is to present the utility of mathematics to students who do not intend to take other mathematics courses.

Prerequisite: MAT 1033 or MAT1100 with a grade of "C" or higher or placement scores.

***MTG 2204 Elementary Geometry, 3 credits**This course presents the content of elementary geometry. Topics include lines and angle relationships, properties of parallel lines, congruency and similarity in triangles, types of quadrilaterals, area, volumes,

and properties of circles. Methods of proof using logic principles and compass and straight-edge construction are emphasized throughout.

Prerequisite: MAT 1033 with a grade of "C" or higher, or placement scores.

**SLS 1533 Taking Control of Math Anxiety, 1 credit**This course assists students in confronting, understanding, and overcoming their math anxiety while learning good math study skills, relevant math applications, and the use of concrete math manipulatives.

***STA 2023 Elementary Statistics I, 3 credits**This course includes measures of central tendency and variability, probability, random variables, normal and binomial distributions, confidence intervals, tests of hypotheses, correlation and simple linear regression, descriptive and inferential techniques and concepts which apply to sample data which has been gathered from a population. Prerequisite: MAT 1033 or MGF2106 with a grade of "C" or higher (MAC 1105 is recommended), or placement scores.

**MAD 3105 Discrete Mathematics, 3 credits**This course teaches propositional logic, counting techniques, permutations, combinations, recurrence relations, graph and digraphs, and network algorithms.

Prerequisite: MAD 2104 with a grade of "C" or higher.

**MAS 3105 Applied Linear Algebra, 4 credits**This course provides a thorough treatment of linear algebra using a matrix-oriented approach, theory, and application projects. Major topics include matrices, systems of linear equations, linear transformations, determinants and their properties, eigenvectors and eigenvalues, vector spaces and subspaces, inner product spaces, orthogonality, similarity, and diagonalization. This course includes both theory and computational skills. For math majors, this course serves as a transition from a study of techniques to more conceptual math. For engineering and science majors, this course serves as a foundation in linear algebra.

Prerequisites MAC 2312

**MHF3202-Sets and Logic, 3 credits**Examples of sets, operations on sets, set algebra, Venn diagrams, truth tables, tautologies, applications to mathematical arguments and mathematical induction.

Prerequisites: grade of C or better in a 2000 level math course.

**MTG 3212 Modern Geometries, 3 credits**This course provides axiomatic treatment of topics in Euclidean geometry, Non-Euclidean geometry, and various subcategories of geometry, such as hyperbolic, projective, and fractal geometries.

Prerequisites MAC 2312

**MAP 3303 Differential Equations II, 3 credits**This course provides further techniques in ordinary differential equations and an introduction to partial differential equations.

Prerequisites MAC 2312, MAP 2302 with a grade of "C" or higher.

**MAS 4203 Number Theory, 3 credits**This course teaches students how to explore relationships and formulate conjectures in the areas of divisibility, congruence, Diophantine equations, the Euclidean algorithm, and number-theoretic functions. Formal proofs are developed to support these conjectures. Other topics include the Fundamental Theorem of Arithmetic and classical theorems of number theory. Development of mathematical thinking is emphasized.

Prerequisites MAC 2313

**MHF 4404 History of Mathematics, 3 credits**This course is designed as a capstone course for those students who are majoring in secondary mathematics education. 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, Descartes, Fermat, Newton, Leibnitz, Euler and Gauss are discussed. Emphasis is given to how mathematics relates across disciplines as well as mathematical connections within the discipline. Fundamental ideas of high school mathematics are examined from an advanced standpoint. This course addresses specific Sunshine State Standards, subject matter competencies, and pedagogy pertinent to the discipline and required for certification.

Mathematics Education Courses

**MAE 1803 Basic Mathematics for Educators, 3 credits**This course teaches various math topics designed for preservice teachers and educators with an emphasis on the Sunshine State Standards.

Prerequisite: permission of instructor.

**MAE 3651 Learn Math with Technology, 3 credits**This course is designed for pre-service and practicing middle and high school math teachers. It includes the use of innovative computer software and graphing calculators for students to experience learning mathematics with technology at the middle and secondary school levels. The use and integration of dynamic geometry software, computer algebra, electronic spreadsheets, data analysis, and instructional software are studied from a problem-solving perspective. Students also create programs on a graphing calculator. This course addresses specific Florida Sunshine State Standards, subject matter competencies, and pedagogy pertinent to the discipline and is required for certification. A programmable graphing calculator is required for this course.

Prerequisites EME 3410 or consent of the Department Chair.

**MAE 3816 Elements of Geometry, 3 credits**This course teaches a variety of traditional and innovative geometric topics via a hands-on approach. This course presents the axioms, basic concepts, proofs and constructions of Euclidean geometry involving line segments, angles, triangles, polygons, circles, parallel lines and similarity. Basic concepts of non-Euclidean geometries are explored. The course focuses on proficiencies related to geometric reasoning to develop effective strategies for understanding geometry from conceptual, representational, and problem-solving perspectives. Development of critical mathematical reasoning and application of theories using technology are emphasized. Not open to students majoring in mathematics.

Prerequisites MAC 2311

**MAT 3904 Secondary Math through Tutoring, 1 credit**This course teaches the general math skills needed for successfully tutoring in an academic setting, general methods of tutoring, and the tutoring techniques needed in specific courses. Teacher-tutor seminars, teacher-tutor conferences, and formal instruction supplement the extensive tutoring experiences. Nine (9) hours of math content courses or permission of instructor required.

Prerequisites EDF 3214 & 9 hours of math content courses

**MAT 3905 Middle Grades Math Through Tutoring, 3 credits**This course teaches the general math skills needed for successfully tutoring in an academic setting, general methods of tutoring, and the tutoring techniques needed in specific courses. Teacher-tutor seminars, teacher-tutor conferences, and formal instruction supplement the extensive tutoring experiences. Completion of nine (9) hours of math content courses or permission of instructor required.

Prerequisites EDF 3214

**MAE 3940 Teaching Middle School Mathematics, 1 credit**Practicum This course provides the opportunities to present interactive curriculum projects to middle school students in local area school districts. Students spend a minimum of 30 school-based hours in the middle school classroom. Project presentations are coordinated with in-service middle school teachers and their curriculum schedules and needs. This course addresses specific Sunshine State Standards, subject matter competencies, and pedagogy pertinent to the discipline and required for certification. This course is designed for students majoring in mathematics education and who will be obtaining teacher certification in grades 5-9 or 6-12.

Prerequisites EDF 2005, EDF 2085, EME 2040, EDF 3214, nine (9) hours of math content courses.

Corequisites Middle Grades MAE 4363 or Secondary Mathematics EDG 3343.

**MAE 4220 Algebra I for ESE/Math Cert Majors, 3 credits**This course is one of four courses designed to prepare students for teaching middle grades Math and Exceptional Student Education (ESE). Concepts include integers; rational numbers; variables; polynomials and factoring; linear equations; integer exponents; square roots of monomial expressions; and real numbers. ESE teaching strategies and state certification preparation are also presented.

Prerequisites Student must have have Florida Exceptional Student Education certification.

**MAE 4221 Algebra 2 for ESE/Math Cert Majors, 3 credits**This course is one of four courses designed to prepare students for teaching middle grades Math and Exceptional Student Education (ESE). Concepts include radicals and radical equations; rational exponents; rational and irrational expressions; systems of linear equations and inequalities; and functions. ESE teaching strategies and state certification preparation are also presented.

Prerequisites Florida ESE certification required.

**MAE 4222 Stats/Prob for ESE/Math Cert Majors, 3 credits**This course is one of four courses designed to prepare students for teaching middle grades Math and Exceptional Student Education (ESE). Concepts include methods of random sampling and data analysis; how to organize and display data; measures of central tendency; measures of dispersion; normal distribution; correlation and regression; types of probability, events and counting methods; calculating simple and joint probability; logical and compound statements; conditional, biconditional and quantified statements; and Euler diagrams. ESE teaching strategies and state certification preparation are also presented.

Prerequisites Florida ESE certification required.

**MAE 4223 Geom/Meas for ESE/Math Cert Majors, 3 credits**This course is one of four courses designed to prepare students for teaching middle grades Math and Exceptional Student Education (ESE). Concepts include metric system conversions; weight and temperature measurements; points, lines, planes and angles; triangles and right triangles; polygons, perimeter and area; transformation; dilation; tessellation; net; and volume. ESE teaching strategies and state certification preparation are also presented.

**MAE 4363 Middle School/Secondary School Mathematics Methods, 3 credits**This course teaches principles of effective curriculum design and assessment. It addresses the required methods, techniques, strategies, and resources for effective teaching of mathematics. It addresses specific Sunshine State Standards, subject matter competencies, and pedagogy pertinent to the discipline and required for certification.

Prerequisites EDF 3214, EDG 3343, Middle Grades MAE 4941, Secondary Mathematics MAE 3940.

Corequisites Middle Grades MAE 3940 or Secondary Mathematics MAE 4941.

**MAE 4815 Elements of Algebra, 3 credits**This course teaches how to investigate the conceptual nature of mathematics and algebra. The students explore topics in set theory, number systems, number theory, data analysis, algebraic structures and elementary probability. Development of critical mathematical reasoning and application of theories using technology are emphasized.

Prerequisites MAC 2311

**MAE 4932 Seminar in Mathematics Education, 3 credits**This course teaches instructional strategies, planning techniques, evaluation procedures and class management skills. Senior level status with all program requirements met, and permission of clinical education coordinator required.

Prerequisites MAE 4945

**MAE 4941 Teaching Secondary Mathematics Practicum, 1 credit**This course is the practicum that provides the opportunities to present interactive curriculum projects to secondary school students in local area school districts. Students spend a minimum of 30 school-based hours in the secondary school classroom. Project presentations are coordinated with in-service secondary school teachers and their curriculum schedules and needs. This course addresses specific Sunshine State Standards, subject matter competencies, and pedagogy pertinent to the discipline and required for certification. This course is for education majors and those who will be obtaining teacher certification in grades 5-9 or 6-12.

Prerequisites EDF 2005, EDF 2085, EME 2040, EDF 3214, nine (9) hours of math content courses.

Corequisites Middle Grades EDG 3343 or Secondary Mathematics MAE 4363.

**MAE 4945 Student Teaching in Mathematics, 10 credits**This course requires a teacher candidate to demonstrate pre-professional competencies during a 16 week, full-time internship in a public school approved by the department. Contact hours: a minimum of 35 hours per week for 15 weeks. Senior level status with all program requirements met, and permission of clinical education coordinator required.

Prerequisites MAE 4932