254 255 DEGREE REQ Course Requirements for Mathematics Teaching Minor 1220. Calculus II (4) 3810. Complex Variables A, S, Su Transcendental functions, techniques of integration, analytic geometry, infinite series, multivariable functions, partial derivatives. Mathematics Courses Required (24 credit hours) Math 1210 Calculus I (3) Analysis and applications of a function of a single complex variable. Analytic function theory, path integration, Taylor and Laurent series and elementary conformal mapping are studied. Prerequisite: 4 Prerequisite: Math 1210. Math Math 1220 2250 Calculus II Linear Algebra and Diff Equations + 4 Math Math 3120 3410 Euclidean and non-Euclidean Geom Probability and Statistics I 3 3 2210. Calculus III (4) A, S, Su Vector algebra, vector valued functions, multivariable functions, partial derivatives, multiple integrals, line integrals, integration in 3160 Number Theory 3 vector fields. Prerequisite: Math 1220. rings, and fields. Prerequisite: 4110 3010 Modern Algebra I Methods and Tech for Teaching Intermediate Secondary Math 3 2250. Linear Algebra and 4120. Modern Algebra II 3 Differential Equations (4) A, S, Su Introduction to Linear Algebra and Differential Equations. Systems of linear equations, matrices, vector spaces, eigenvalues. First and Continuation of Math 4110: advanced topics from groups, rings, and fields including the Sylow theorems and Galois theory. Prerequisite: Math 4110. Math or Math MathEd second order differential equations and models, higher order linear MATHEMATICS COURSES - MATH NDO950. College Arithmetic (3) equations, linear systems. Prerequisite: Math 1220. 2920. Short Courses, Workshops, Institutes and Special Programs A, S$ the student transcript. (3) An introduction to the definitions, methods, and logic of plane geometry. 3120. Euclidean and Non-Euclidean Geometry Does not count toward graduation. 1010. Intermediate Algebra (4) Prerequisite: Graphs; linear equations and systems; exponents and radicals; polynomial, rational, and logarithmic functions; applications. Prerequisite: Math ND0960 or Math ACT score of 17-22 or 3160. Number Theory (3) S§ An overview of beginning number theory including the integers, modulo arithmetic, congruences, Fermat's theorem and Euler's theorem. Prerequisite: Math 1210. QL1030. Contemporary Mathematics (3) A, S, Su Mathematics in society and the work place: Collecting, describing 3350. Linear Algebra ACT Math score 23 or higher or placement test. 3410, 3420. Probability and Statistics (3-3) A, S§ Introductory probability theory and mathematical statistics, including applications. Corequisite: Math 2210 or prerequisite A, S, Su Basic concepts of probability and statistics with an emphasis on applications. Prerequisite: Math 1010 or math ACT score 23 or higher or placement test. (4) A orS Theory and applications of linear algebra including abstract vector spaces and canonical forms of matrices. Prerequisite: Math 2250. and interpreting data; geometry and measurement; patterns of growth; voting issues; decision making. Prerequisite: Math 1010 or QL1050. College Algebra (3) of Math 1220 and consent of instructor. Math 3410 for 3420. Further prerequisites: 3550. Introduction to Mathematical Modeling (3) A orS Formulation, solution and interpretation of mathematical models for problems occurring in areas of physical, biological and social science. Prerequisite: Math 2210 and 2250. A, S, Su Selected topics in algebra including inequalities, logarithms, theory of equations, matrices, determinants and progressions. Prerequisite: Math 1010 or math ACT score of 23 or higher or placement test. 3610. Graph Theory (3) A Principles of Graph Theory including methods and models, special types of graphs, paths and circuits, coloring, networks, and other 1060. Trigonometry (3) A, S, Su Trigonometric functions, equations, identities, and applications. Complex numbers and polar coordinates. Prerequisite: Math 1010 or math ACT score of 23 or higher or placement test. applications. QL1080. Pre-calculus Principles of Enumeration including counting principles, generating (5) 3620. A, S, Su Prerequisite: Enumeration (3) functions, recurrence relations, inclusion-exclusion, and applications. Prerequisite: Math 1210. 1100. Mathematics Computer Laboratory (1) S$ Computer solution of mathematics problems using a computer algebra system. Corequisites: Math QL1050 or 1060 or QL1080 or 1210. Series solutions, Fourier series, separation of variables, orthogonal functions. Prerequisite: Math 2250. 3710. Boundary Value Problems 3720. Differential Equations II 1210. Calculus I (4) A, S, Su Limits, continuity, differentiation, integration. Prerequisite: Math (3) (3) A, $ A orS Matrix approach to linear systems, nonlinear systems, Laplace transforms. Prerequisite: Math 2250. PRENGR CS EET MFET S$ 4210, 4220. Introductory Real Analysis (3-3) classroom management. An emphasis is placed on the use of computers, graphing calculators, and other technology. Prerequisite: MathEd 3010. A, S 3060. Probability and Statistics for Elementary Teachers Prerequisite: (3) A Basic Probability and statistics with an emphasis on topics and methods pertinent to prospective elementary school teachers. Prerequisite: MathEd 2010 and 2020. Math 2210 and 2250 for 4210; Math 4210 for 4220. 3070. Geometry for Elementary Teachers 4320. Topology Basic Geometry with an emphasis on the topics and methods pertinent to prospective elementary school teachers. Prerequisite: (3) AorS Introduction to point-set topology, including metric and topological spaces, continuity, homeomorphisms, compact and connected spaces, and complete metric spaces. Other topics may include the Baire Category Theorem and Tietze Extension Theorem. site: Math 2210 and 2250. 4610, 4620. Numerical Analysis (3-3) (3) A MathEd 2010 and 2020. 3080. Number Theory for Elementary Teachers (3) S$ Survey of elementary number theory concepts with applications to topics of interest plus teaching suggestions. Prerequisite: MathEd 2010 and 2020. Prerequi- A, S§ 4040. Mathematical Problem Solving for Elementary Teachers Use of the digital computer in solving otherwise intractable problems. Prerequisite: Math 2250 and CS 1220 or other approved programming (3) S language; Math 4610 for 4620. Mathematical problem solving, discussion of process, writing solutions, and writing extensions. Prerequisite: MathEd 2010 and 2020. 4710. Partial Differential Equations (3) A orS First order equations, characteristics and classifications, Green's 4100. Intuitive Calculus for Elementary Teachers Prerequisite: MathEd 2010 and 2020. identities, models, transforms. Prerequisite: Math 3710. 4750. Topics in Mathematics (3) A 4700. Senior Project in Elementary Mathematics Teaching (3) A, S$ (2-4) This course will vary with the demand and may be taken more than once for a maximum of 8 credit hours. Prerequisite: Consent of the instructor. Projects in preparing, teaching and revising sequential mathematics lessons for elementary students. Prerequisite: MathEd 2010 and 2020. 4910. Senior Research Project (3) Mathematical research project for seniors. Students may not register for this course the last semester before they intend to graduate. Prerequisite: Instructor approval. 5210. Calculus with Analytic Geometry (4) Analytic geometry, differentiation, integration, and applications. Prerequisite: Math QL1050 and 1060 or Math QL1080 or place- 4920. Short Courses, Workshops, Institutes and Special Programs (1-4) Consult the quarterly class schedule for the current offering under this number. The specific title and credit authorized will appear on 5220. Calculus with Analytic Geometry (4) Transcendental functions, techniques of integration, conic sections, polar coordinates, infinite series, introduction to partial derivatives. Prerequisite: MathEd 5210. ment test. the student transcript. 5230. Mathematics Computer Laboratory (1) Computer solution of mathematics problems. May be taken concurrently with any lower division mathematics course. Prerequisite: Approval of instructor. MATHEMATICS EDUCATION COURSES - MATHED S§ (3) Applied Sci nce & including methods of presentation, exploration, assessment and Math 1210. A course covering college algebra and trigonometry concepts preparatory to calculus. Prerequisite: Math 1010 or math ACT score of 23 or higher or placement test. QL1050 and 1060 or Math QL1080 or placement test. Corequisite: Advanced Secondary Mathematics HNRS & BIS LIBSCI Ws Aspects of teaching advanced mathematics in a high school setting, S$ integration and Fourier Analysis. Math 1220. 3020. Methods and Technology for Teaching Math 2250. (3) Introduction to numerical methods. Math 1220. placement test. (3) (3) A Axiomatic development of geometry; Euclidean and non-Euclidean. A, S, Su QL1040. Introduction to Statistics (3) A survey of the history of mathematics and its impact on world culture with emphasis on mathematical motivations, original methods and applications. Prerequisite: Math 1220. A, S, Su (3) A Logic, sets, and the study of algebraic systems including groups, series. Other topics may include Lebesgue measure and (1-4) NDO960. First Course in Algebra (3) A, S, Su Relations, functions, positive and negative numbers, rational expressions, linear equations and inequalities. Does not count toward graduation. Plane Geometry Prerequisite: limits, continuity, integration, differentiation, sequences and Consult the quarterly class schedule for the current offering under this number. The specific title and credit authorized will appear on NDO970. teachers using a variety of methods of presentation and assessment that have special application to the intermediate math classroom. Develop the analysis underlying calculus. In-depth study of Fundamental concepts of arithmetic including prealgebra, and scientific calculator instruction. Does not count for graduation. 3050. History of Mathematics Basic topics in intermediate mathematics are taught to prospective Math 2210 and 2250. 4110. Modern Algebra I GEN ED COURSES 3010. Methods and Technology for Teaching Intermediate Secondary Mathematics (3) A Su or A or S 5310. Multivariable and Vector Calculus (4) Vectors, vector valued functions, motion in space, multivariable functions, partial derivatives, multiple integrals, integration in Courses numbered above 5000 are restricted to in-service teachers and credit should not be given for students who have received credit for the corresponding undergraduate course. vector fields. Prerequisite: MathEd 5220. 2010. Mathematics for Elementary Teachers (3) A, S 5350. Linear Algebra and Differential Equations Geometry, sets, logic, problem solving. Prerequisite: Math QL1050. (4) Introduction to Linear Algebra and Differential Equations. Systems 2020. Mathematics for Elementary Teachers (3) A, S Properties of whole numbers, integers, rational numbers, and real numbers; number theory; probability and statistics. Prerequisite: of linear equations, matrices, vector spaces, eigenvalues. First and second order differential equations and models, higher order linear equations, linear systems. Prerequisite: MathEd 5220. MathEd 2010 or permission of the instructor. Math 1100 or ability to use a computer algebra system. NAVSCI WEBER SiT AT E Us MN It¥ ER. $'1-TY¥ WEBER S:\T- ACT E U:N IV ER Sil T ¥