MTH 0003Elementary AlgebraThis course is designed for students who desire or need a stronger understanding of the numeration system and how to operate within that system. It is designed to enhance students� understanding of algebraic expressions and equations. Students will analyze functions using graphical and algebraic techniques. Students with a mathematics ACT score below 16 (or equivalent score from admission exams approved by HSU) are required to complete the course with a grade of C or better before enrolling in MTH 0013, MTH 1033 or MTH 1083. This course cannot be used for degree requirements.
MTH 0013Intermediate AlgebraThis course is designed to strengthen basic algebraic manipulation skills.The course develops the characteristics of linear and quadratic functions to solve equations, systems of equations and inequalities.Prerequisite:MTH 0003 (with a grade of C or better), or a mathematics ACT score of at least 16 (or equivalent score from an admission exam approved by HSU).cannot be used for degree requirements.
MTH 1033 (MATH1003)Mathematics for Liberal ArtsA course designed to meet the general education needs of students majoring in programs that do not require college algebra or more advanced courses. This course consists of units dealing with logic, proportional reasoning, the mathematics of finance, exponential growth and decay, geometry (plane and solid), voting theory, applications of mathematics to music and art, and probability and statistics.Prerequisite:MTH 0003 (with a grade of C or better), or a mathematics ACT score of at least 19 (or equivalent score from an admission exam approved by HSU).
MTH 1053Number Operations and Number SenseThis is the entry level course for P-8 education majors. Numeration systems from natural numbers through real numbers will be covered.The operations and properties with applications within each system will be developed as appropriate to the P-8 teacher.Prerequisite:MTH 0013 (with a grade of C or better), or a mathematics ACT score of at least 19 (or equivalent math score from an admission exam approved by HSU).
MTH 1083 (MATH1003)Mathematics through Practical ApplicationsThe course looks at percentages, calculating and using statistics, unit conversions, mathematical modeling, physics of motion, probability, geometry, estimation, data collection and other applications.The motivation for coverage of the topics will come from various areas chosen by the instructor such as sports, music, art, physics, acoustics, etc.Applications of these topics will be made to everyday life.Prerequisite:MTH 0003 (with a grade of C or better), or a mathematics ACT score of at least 19 (or equivalent score from an admission exam approved by HSU).
MTH 1213Algebra for Elementary and Middle GradesA course designed to meet the needs of students preparing for elementary and/or middle school licensure. Topics include: sequences and series, linear and non-linear equations, linear inequalities; inverse, polynomial, rational, exponential and logarithmic functions. Concepts will be developed using appropriate manipulatives and technology. Prerequisite: MTH 1053 with a grade of C or better.
MTH 1243 (MATH1103)College AlgebraA course designed to meet the general education needs of students in business, sciences, and other programs outside of mathematics. Topics include: linear, non-linear, inverse, polynomial, rational, exponential and logarithmic functions; systems of linear equations, linear and quadratic inequalities. Problem-solving techniques with be discussed with and without the use of technology. Prerequisite: MTH 0013 (with a grade of C or better), or a mathematics ACT score of at least 19 (or equivalent math score from an admission exam approved by HSU). An ACT math score of 22 or above is recommended.
MTH 1253 (MATH1203)Plane TrigonometryTopics to include angular measurement, trigonometric functions, identities, graphing, Law of Sines, Law of Cosines, Heron�s formula, polar coordinates, complex numbers, vectors, and parametric equations. Prerequisite or co-requisite: MTH 1243 or MTH 1273.
MTH 1261Introduction to Mathematical ComputingThis course serves as an introduction to mathematical computing with computer algebra software, geometry software and spreadsheets.Prerequisites: Same as for MTH 1295. Co-requisite: MTH 1295.
MTH 1273Precalculus MathematicsThis course is designed to prepare students for MTH 1295.Course includes a study of linear and non-linear equations, systems of equations, and inequalities, an introduction to matrices, sequences and series, as well as conics.Prerequisite:Two units of high school algebra.An ACT math score of 25 or above is strongly recommended.
MTH 1295 (MATH2405)Calculus ITopics include limits, derivatives, and integrals of algebraic and transcendental functions.Theory, computation and applications are emphasized.Prerequisites: MTH 1253, MTH 1273; or consent of the department.Corequisite: MTH 1261.
MTH 2045Calculus II (MATH2505)This course is a continuation of MTH 1295-Calculus I. Additional topics will include integration techniques, improper integrals, infinite series, parametric equations and polar coordinates.Prerequisite: MTH 1295 or consent of the department.
MTH 2283Discrete Mathematics IA study of mathematical structures that are fundamentally discrete rather than continuous in nature.The course includes a study of logic, mathematical writing and proofs, an introduction to sets, relations, and counting methods.Prerequisites: MTH 1243 or MTH 1273; MTH 1295 Recommended.
MTH 2543Data Analysis, Statistics and Probability for the Elementary and Middle GradesConcepts of data analysis, statistics and probability appropriate for P-8 grade levels will be developed.Topics to be included are: univariate and bivariate graphical techniques, measures of center and dispersion, normal distribution, discrete probability with applications, geometric probability with applications, and simulation.Prerequisites: MTH 1053 with a C or better and either MTH 1213 or MTH 1243 with a C or better.
MTH 3023(WI) Systems of Geometry IThe course introduces the concept of an axiomatic mathematical system through the development of neutral and Euclidean geometries with an emphasis on valid arguments. Non-Euclidean geometry will also be investigated. Prerequisites: MTH 1295 and MTH 2283.
MTH 3063Advanced Algebra for the Elementary and Middle GradesReviews the basic concepts of algebra, use of manipulatives, and the use of technology. Prerequisite: MTH 2483.
MTH 3073Geometry II for the Middle Grades (4-8)An informal study of the concepts of position, shape, size, construction with straightedge and compass, structure of geometry, and measurement. Prerequisite: MTH 2483.
MTH 3093, 5093Systems of Geometry IIContinuation of MTH 3023. Prerequisite: MTH 3023.
MTH 3103Calculus IIIA study of 2-D and 3-D vectors and geometry, vector functions, partial differentiation, multiple integration, Lagrange multipliers, and vector calculus. Prerequisite: MTH 2045.
MTH 3113(WI) Linear AlgebraVector spaces, linear transformations and matrices, sets of linear transformations and matrices, eigenvalues and eigenvectors of linear transformations, and similar matrices.Prerequisites: MTH 1295 and MTH 2283.
MTH 3163Probability and Statistics IThe mathematical theory of probability and application of this theory to statistical inference. Topics include descriptive statistics, independence, conditional probability, expectation, variance, discrete and continuous distributions, moment generating functions, and the central limit theorem. Prerequisites: MTH 2283 and MTH 2045.
MTH 3383Mathematics for Secondary TeachersThis course develops problem-solving strategies and proofs in a variety of mathematical contexts, emphasizing the connections between algebra and geometry. The historical development of mathematics and how it affects mathematics today will be explored. Prerequisites: MTH 1243 or MTH 1273, MTH 1253, MTH 2283.
MTH 3503Discrete Mathematics IIA continuation of MTH 2283-Discrete Mathematics I.Topics included number theory, probability, algebraic functions and algorithms, graphs and trees, and finite automata.Prerequisite: MTH 2283.
MTH 3523Discrete Math for Middle GradesBasic logic, set theory, elementary number theory, counting techniques, patterns, sequences, deductive and inductive mathematical proofs and functions as appropriate for middle school mathematics will be developed.Technology will be used appropriately.Prerequisite: MTH 2483.
MTH 3553Foundations of Calculus and Technology for the Middle GradesAn intuitive understanding of limits, derivatives with applications, and integration with applications, as appropriate for middle level mathematics teachers.Appropriate use of technology will be incorporated.Prerequisite:MTH 2483.
MTH 4123, 5123Differential EquationsAnalytic, approximate, and graphical solutions to ordinary differential equations, the theory of the existence and uniqueness of solutions, and applications of these ideas to the physical sciences. Prerequisite: MTH 2045.
MTH 4133, 5133(WI) Algebraic Structures IAn introduction to the fundamental algebraic structures: groups, rings and fields. is placed on developing mathematical sophistication and rigor of proof.Prerequisite: MTH 1295 and MTH 2283.
MTH 4143, 5143Algebraic Structures IIContinuation of MTH 4133; advanced group theory and Galois theory. Prerequisite: MTH 4133.
MTH 4153, 5153History of MathematicsThis course is an overview of the development of elementary mathematics from primitive counting to modern accomplishments in algebra, geometry, and calculus. Prerequisite: MTH 2045.
MTH 4223, 5223Introduction to TopologyAn introduction to topological spaces, homeomorphism, compactness, separations, and connectedness. Prerequisite: MTH 4133.
MTH 4233, 5233Advanced Calculus IA rigorous development of calculus of one and of several variables. Topics include sequences, series, continuous and differentiable functions, integration theory, and series of functions. Prerequisites: MTH 2045, 4133.
MTH 4303, 5303Advanced Calculus IIContinuation of MTH 4233. Prerequisite: MTH 4233.
MTH 4331-3, 5331-3Independent StudyIndependent study in an area of mathematics selected by the student and faculty advisor. Credit will vary from one (1) to three (3) hours. May be repeated. Prerequisite: consent of faculty advisor.
MTH 4373, 5373Numerical AnalysisAn introduction to numerical methods of problem solving to include error analysis, approximate solutions to equations of one variable, interpolation and polynomial approximation, numerical differentiation and integration, numerical solutions of differential equations, linear systems, and approximation of functions. Prerequisites: MTH 2045 and CSC 1104.
MTH 4433, 5433Probability and Statistics IIThe mathematical theory of probability and application of this theory to statistical inference.Topics include multivariable distributions, confidence intervals, tests of statistical hypotheses, linear models, 1-way analysis of variance, and quality control through statistical methods. Prerequisite: MTH 3163.
MTH 4473, 5473Simulation TheorySee CSC 4213.
MTH 4491-3, 5491-3Special Topics in Mathematics EducationA broad range of topics in mathematics content that will include, but not be limited to, algebra, geometry, probability, statistics and data representation, and the use of technology.Topics will be addressed to middle school and/or high school teachers. Students will be able to repeat the course for credit when different topics are being presented than when the student previously took the class.A designation of the topics covered will be recorded on the transcript. Prerequisites: Secondary - MTH 1243, MTH 1295, or consent of the instructor.Middle School - MTH 1053, MTH 2483 or departmental consent.
MTH 4563Math Modeling and Applications for the Middle GradesThis course will serve as the capstone course for students pursuing licensure in Middle School Mathematics and Science.Connections between other mathematics courses in the program will be broadened and explored using appropriate materials through laboratory experiences.The use of technology, including the Internet as an instructional source, as is appropriate for the middle grades will be incorporated to enhance problem solving, communication and reasoning skills.Prerequisite:MTH 3553 or departmental consent.
MTH 4893(WI) Special Methods/MathThis course emphasizes the strategies of teaching mathematics, the planning for teaching mathematics, and mathematical assessment programs. Topics include developing objectives, creating lessons, building units, designing an assessment plan, and appropriate use of manipulatives and technology. Prerequisite: MTH 3383 or departmental consent.
MTH 4903(WI) Capstone Course - MathematicsThe course consists a survey of a variety of topics in upper level mathematics, including, but not limited to, courses in the students' undergraduate program.It considers various topics in mathematics history and includes of a student research project under the direction of a member of the department.The project will be consistent with the student�s degree track (BS, BS-licensure, or BS-applied mathematics).The student will present the research at a departmental colloquium or an appropriate conference.The student will also take a departmentally designated exit exam. Prerequisites:Departmental consent or completion of at least three of the following: MTH 4133, MTH 3163, MTH 3113, MTH 4123, MTH 4233.
MTH 4961-3, 5961-3Special Topics in MathematicsTopics selected from the areas of analysis, algebra, geometry, topology, logic, statistics, or other areas according to student needs and the instructor�s specialization.The student�s transcript will indicate the specific topic covered.Because course content will vary, students may repeat the course for a maximum of six hours credit. Prerequisite: Departmental consent.

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