## Mathematics Education

**MATHEMATICS EDCATION-MA**

MA 095. DEVELOPMENTAL MATHEMATICS. A ten-week summer course required for students admitted to MVSU with deficiencies. Course topic include rational expressions, numerical operations, whole numbers, and algebraic functions. 3

MA 100B. INTERMEDIATE ALGEBRA. Topic include real numbers, algebraic expressions, factoring, algebraic fraction, linear equation and inequalities, quadratic equations, and systems of equations in two variables. Prerequisite: MA 111

MA 111. COLLEGE ALGEBRA. Exponents and radicals, polynomials, factoring, functions and graphs, linear and quadratic equations inequalities systems of equations. Prerequisite: MA 100B or minimum ACT sub-score of 18 in mathematics. 3

MA 112. PLANE TRIGONOMETRY. Trigonometric functions and their inverses, trigonometric identities and equations, solutions of triangles, analytic trigonometry, logarithms. Prerequisite: MA 111 or Department Approval. 3

MA 132. CONCEPTS OF MATHEMATICS II. Basic concepts of algebra and informal geometry. (Open only to Elementary and Special Education Majors.) 3

MA 191-MA 192. MATHEMATICS SEMINAR. Required of each freshman mathematics major both semesters of the freshman year. Introduces the students to the department, the faculty, college life and mathematics as a major. Effective methods of note taking and research, efficient use of study time, problem solving and group advisement. A panel-symposium-lecture-discussion is employed. Presentations may be given by students, faculty or guest speakers. Prerequisite(s): Freshman Mathematics or Mathematics Education major. 1

MA 299. CALCULUS I. Functions, limits, differentiation, integration of Algebraic functions. Prerequisite: MA 111 or ACT sub-test of 20 in mathematics. 3

MA 300. CALCULUS II. Differentiation and integration of transcendental functions, techniques of integration. Prerequisite: MA 299. 3

MA 301. CALCULUS III. Parametric, equations, polar coordinates, vectors. Partial differentiation, multiple integrals, indeterminate forms, infinite series. Prerequisite: MA 300. 3

MA 302. ELEMENTARY STATISTICS. Tabular and graphical representation of statistical data, measures of central tendency and variation, probability, sampling, statistical inference, confidence intervals, linear regression, correlation and an introduction to nonparametric statistical methods. Prerequisite: MA 111 or MA 299. 3

MA 303. CALCULUS IV. Differential calculus of functions of several variables; multiple integration; vector calculus. Prerequisite: MA 301. 3

MA 305. HISTORY OF MATHEMATICS. Historical investigation and presentation of the growth of mathematics knowledge and principles, including the historical development of African American men and women of mathematics and their contributions. Prerequisite: MA 300

MA 311. MODERN GEOMETRY I. Foundations of Euclidean geometry, metric and synthetic approaches, incidence betweeness, separation, congruence, similarity, and the role of the parallel postulate. Prerequisite: MA 300. 3

MA 317. ANALYSIS I. Set theory, real numbers, functions. Cauchy sequences, completeness, nested intervals, vector spaces, metric spaces, normed spaces, dot and cross products, vector differentiation, curvilinear coordinates, and matrix algebra. Prerequisite: MA 301 3

MA 318. ANALYSIS II. Measure theory and Lebesque measure, Lebesque integrals, Steiltjes integrals, Riemann integrals, Fourier series with application of Lebesque measure, mean convergence and special inequalities, summability of Fourier series, double Lebesque integrals and Fubini’s theorem. Prerequisite: MA 317. 3

MA 325. PROBABILITY AND STATISTICS I. Probability theory as applied to mathematical models of random events, independent and dependent events, numerical valued events, mean and variance of a probability law, normal and Poission probability laws, random variable. Prerequisite: MA 300. 3

MA 331. LINEAR ALGEBRA I. Vectors in n-dimensions, vector spaces in real and complex fields, determinants, matrices and solutions to systems of linear equations, bases, linear transformations, similarity transformation, linear operators characteristics equation, eigenvalues, eigenfunctions of linear operators, and diagonalization of matrices. Prerequisite: MA 300. 3

MA 332. LINEAR ALGEBRA II. Hermitian forms inner product spaces in real and complex vector spaces, orthogonal and orthonormal bases, Gram-Schmidt’s orthogonalization process, dual and Euclidean spaces. Prerequisite: MA 331. 3

MA 333. CONCEPTS OF MATHEMATICS III. Deductive reasoning points, lines, distance, rays, angles, angular measurements, bisector, congruent triangle, similar triangle, and overlapping triangle, transformations, reflections, translations, rotations, inequalities, exterior angle theorem, triangle side and angle inequalities, parallel and perpendicular lines, quadrilaterals, area, circles, chords, tangents, secants, regular polygons and geometric solids. Prerequisite: MA 299 or MA 302. 3

MA 341. DISCRETE STRUCTURES. Elementary logic sets, relations, functions, ordering, equivalence relations, partitions, finite sets, module arithmetic; natural number, mathematical induction, arithmetic string, string programs, structured connectedness, traversals, graph algorithms. Prerequisite: CS 205 or MA 299. 3

MA 377. INTRODUCTION TO GEOGRAPHIC INFORMATION SYSTEMS. This course is designed to introduce students to spatial analysis techniques and issues, provide hands-on training in the use of these tools, and enable them to solve a variety of spatial and temporal problems. Emphasis will be placed on the nature of spatial information, spatial data models and structured, data input, manipulation and storage, spatial analytic and modeling techniques and error analysis. Prerequisite: Consent of instructor. 3

MA 401. ABSTRACT ALGEBRA I. Binary operations, groups, subgroups, permutations, cyclic groups, isomorphism, finitely generated and Abelian groups, rings, integral domains, homomorphism of rings of polynomial and factorization domains. Prerequisite: MA 300. 3

MA 402. ABSTRACT ALGEBRA II. An introduction to linear algebra, linear transformation, certain algebraic structures and their transformations, including groups, rings, vector spaces, cyclotomic polynomials, splitting fields, and elements of Galois theory. Prerequisite: MA 401. 3

MA 421. ORDINARY AND PARTIAL DIFFERENTIAL EQUATION I. (Writing Intensive Course). Introduction to differential equations, exact solutions, first and second order equations, linear dependence, Wronskian complex coefficients, Cauchy-Euler equations, non-homogenous equations, method of undetermined coefficients, variation parameter, power series solution, Taylor series, convergence and divergence of series. Course requires considerable writing including research paper and original explorations. Prerequisite: MA 300 and Instructor Approval. 3

MA 275/475 INTERNSHIP. Internships that provide students with real-life work-related experiences in the field fo computer science and mathematics are a valuable part of an undergraduate education. Students choosing this option may choose to satisfy requirements for computer science credits by completing a research internship in a qualifying position. Prerequisite (s): Mathematics or Mathematics Education Major. 3

MA 451. SENIOR PROJECT IN MATHEMATICS . A comprehensive mathematics project with considerable detail to be completed under supervision of a faculty member. Topics to be decided in consultations with the faculty member. Prerequisite: Senior Mathematics of Mathematics Education major. 3

MA 452. METHODS OF TEACHING MATHEMATICS. This course is designed for secondary Mathematics Majors. Emphasis is on developing teaching styles, and gaining information on psychological and learning theoretical foundation for teaching mathematics. Teaching models and strategies are explored and modeled in class presentations. Students are required to plan lessons, micro-teach, and solve problems involving classroom management, and learning to develop relationships with school personnel and community. Prerequisite: ED 201 and MA 301. 3

MA 491-MA 492. MATHEMATICS SEMINAR. Required of all senior mathematics majors each semester of the senior year. Methods of research, proofs, current trends and new discoveries, group advisement on academic and vocational matters. A panel-symposium-lecture-discussion format is employed. Presentations may be given by students, faculty, or guest speakers. Prerequisite: Senior Mathematics or Mathematics Education major. 1