## MATHEMATICS (MATH)

**098 Developmental Arithmetic (3-0-3).** Credit not applicable toward degrees. Required of students whose ACT Mathematics Main score is less than 15 or COMPASS Math score of 30 or less. Fundamental topics in arithmetic, geometry, and pre-algebra.

**099 Developmental Algebra (3-0-3).** Credit not applicable toward degrees. Required of students whose ACT Mathematics Main score is at least 15 but less than 19 or COMPASS Math score of 31 to 58. Fundamental topics in algebra for students with insufficient knowledge of high school level mathematics. PR: ACT Mathematics Main score of 15 or grade of “S” in MATH 098.

**101 General Mathematics (3-0-3).** Natural numbers, integers, rational numbers, real numbers, equations, and inequalities; ratio, proportion and variation; graphs; interest; introduction to elementary statistics. PR: ACT Mathematics main score of 19 or grade of “S” in MATH 099 or COMPASS Math score of 59 or higher.

**106 Mathematics for Early/Middle Grade Teachers (3-0-3).** Logical reasoning; geometry, measurements; metric system, numeration system; curriculum. No field credit for math majors or minor. PR: MATH 101 or higher.

**109 Algebra (3-0-3).** Real numbers, exponents, roots and radicals; polynomials, first and second degree equations and inequalities; functions and graphs. PR: ACT Mathematics main score of 19 or grade of “S” in MATH 099.

**110 Trigonometry (3-0-3).** Trigonometric functions and graphs; solution of right triangles, trigonometric identities; solution of oblique triangles; vectors; complex numbers; exponential and logarithm functions. PR: ACT Mathematics main score of 19.

**210 Elementary Statistics (3-0-3).** Basic programming; sets, basic probability concepts; basic statistical concepts; random variables and distributions; sampling distributions; linear regression and correlation. No field credit for math majors/minors. PR: MATH 101 or higher.

**211 Informal Geometry (3-0-3).** Theorems are motivated by using experiences with physical objects or pictures and most of them are stated without proof. Point approach is used with space as the set of all points; review elementary geometry, measurement, observation, intuition and inductive reasoning, distance, coordinate systems, convexitivity, separation, angles, and polygons. No field credit for math majors/minors. PR: MATH 101 or higher.

**220 Calculus I (4-0-4).** A study of elements of plane analytical geometry, including polar coordinates, the derivative of a function with applications, integrals and applications, differentiation of transcendental functions, and methods of integration. PR: MATH 109 and MATH 110, or GNET 116, or ACT Mathematics main score of 26 or COMPASS Trigonometry score of 46 or above.

**230 Calculus II (4-0-4).** Differentiation of transcendental functions; parametric equation; polar coordinates; methods of integration; applications of the definite integral. PR: MATH 220.

**240 Calculus III (4-0-4).** Infinite series; solid analytic geometry; partial derivatives; multiple integrals. PR: MATH 230.

**250 Discrete Mathematics (3-0-3).** Treats a variety of themes in discrete mathematics: logic and proof, to develop students’ ability to think abstractly; induction and recursion, the use of smaller cases to solve larger cases of problems; combinatorics, mathematics of counting and arranging objects; algorithms and their analysis, the sequence of instructions; discrete structures, e.g., graphs, trees, sets; and mathematical models, applying one theory to many different problems. PR: MATH 109 and MATH 110 or GNET 116.

**290 Topics in Mathematics (1-4 hours credit).** Formal course in diverse areas of mathematics. Course may be repeated for different topics. Specific topics will be announced and indicated by subtitle on the student transcript. PR: Consent of instructor.

**301 Probability and Statistics (3-0-3).** Mean and standard deviation; probability; random variables and probability distribution; normal distribution, statistical inference; linear regression and correlation; experimental design; chi-square test; analysis of variance. PR: MATH 109 or GNET 116.

**310 Differential Equations (3-0-3).** Equations of order one; linear differential equations; nonhomogeneous equations; variation of parameters; differential operations; Laplace transformation; nonlinear equations; power series methods; applications. PR: MATH 230.

**311 Linear Algebra (3-0-3).** Systems of linear equations, matrices and determinants; vector spaces; linear transformations; inner and outer products; eigenvalues and canonical forms. PR: MATH 230.

**320 Modern Geometry (3-0-3).** Euclidean geometry including points, lines, planes, separations, curves, surfaces, congruence, parallelism, and similarity; projective geometry; non-euclidean geometries, including hyperbolic, parabolic and elliptic. PR: MATH 109.

**333 Math Methods for K-6 Teachers (3-0-3).** Instructional methods for teaching K-6 mathematics using a hands-on approach. Emphasis placed on increasing students’ ability to communicate and reason mathematically. Introduces a variety of techniques to approach and solve mathematical problems. PR: MATH 106 and Admission to Teacher Education.

**350 Modern Algebra (3-0-3).** Sets, relations, and functions; groups, rings, integral domains; fields; operation-preserving functions; quotient groups; quotient rings. PR: MATH 109.

**400 Introduction to Topology (3-0-3).** A study of set theory; topological spaces, cartesian products, connectedness; separation axioms; convergences; compactness. Special attention will be given to the interpretation of the above ideas in terms of the real line and other metric spaces. PR: MATH 240.

**415 Multivariable Calculus (3-0-3).** A study of functions of several variables; partial differentiation; double and triple integrals; line and surface integrals; complex functions. PR: MATH 240.

**490 Topics in Mathematics (1-4 hours credit per semester).** Advanced formal courses in diverse areas of mathematics. Courses may be repeated for different topics. Specific topics will be announced and indicated by subtitle on transcript. PR: Consent of instructor.