342 MATH 4110. Modern Algebra I (3) F (alternate years) Logic, sets, and the study of algebraic systems including groups, rings, and fields. Prerequisite: MATH 2270. MATH 4120. Modern Algebra II (3) 5 (alternate years) Continuation of MATH 4110: advanced topics from groups, rings, and fields including the Sylow theorems and Galois theory. Prerequisite: MATH 4110. MATH 4210, 4220. Introductory Real Analysis (3-3) F, 5 (4220 alternate years) Develop the analysis underlying calculus. In-depth study of limits, continuity, integration, differentiation, sequences and series. Other topics may include Lebesgue measure and integration and Fourier Analysis. Prerequisite: MATH 2210 and 2270 for 4210; MATH 4210 for 4220. MATH 4320. Topology (3) F or S (alternate years) 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. Prerequisite: MATH 2210 and 2270. MATH 4610, 4620. Numerical Analysis (3-3) F, 5 (alternate years) Introduction to numerical methods. Use of the digital computer in solving otherwise intractable problems. Prerequisite: MATH 2270 and an ability to use a programming language; MATH 4610 for 4620. MATH 4750. Topics in Mathematics (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. MATH 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. MATH 4920. Short Courses, Workshops, Institutes and Special Programs (1-4) Consult the semester class schedule for the current offering under this number. The specific title and credit authorized will appear on the student transcript. MATHEMATICS EDUCATION COURSES - MTHE Courses numbered credit should not 5000 are restricted to in-service teachers and for students who have recdved credit for the course. MTHE 3010. Methods and Technology for Teaching Secondary Mathematics (3) 5 Basic topics in secondary mathematics are taught to prospective teachers using a variety of methods of presentation and up-to-date technology, including the use of graphing calculators and computers. Prerequisite: MATH SI1220. MTHE 3020. Methods and Technology for Teaching Advanced Secondary Mathematics (3) Aspects of teaching advanced mathematics in a high school setting, including methods of presentation, exploration, assessment and classroom management. An emphasis is placed on the use of computers, graphing calculators, and other technology. Prerequisite: MTHE 3010. MTHE SI3060. Probability and Statistics for Elementary Teachers (3) 5 Basic probability and statistics with an emphasis on topics and methods pertinent to prospective elementary school teachers. Prerequisite: MATH 2010 and MATH 2020. MTHE SI3070. Geometry for Elementary Teachers (3) F Basic Geometry with an emphasis on the topics and methods pertinent to prospective elementary school teachers. Prerequisite: MATH 2010 and MATH 2020. MTHE SI3080. Number Theory for Elementary Teachers (3) F Survey of elementary number theory concepts with applications to topics of interest plus teaching suggestions. Prerequisite: MATH 2010 and MATH 2020. MTHE 4010. Capstone Mathematics for High School Teachers (3) F, 5 Prospective high school teachers revisit mathematics topics from the secondary school curriculum and examine them from an advanced perspective. The major emphasis is on topics from algebra and geometry. Prerequisites: MATH 2110 and MATH 3120. MTHE 4020. Capstone Mathematics for High School Teachers II (3) F Prospective high school teachers revisit mathematics topics from the secondary school curriculum and examine them from an advanced perspective. The major emphasis is on topics from geometry. Prerequisite: MTHE 4010. MTHE SI4040. Mathematical Problem Solving for Elementary Teachers (3) 5 Mathematical problem solving, discussion of process, writing solutions, and writing extensions. Prerequisite: MATH 2010 and MATH 2020. MTHE SI4100. Intuitive Calculus for Elementary Teachers (3) Prerequisite: MATH 2010 and MATH 2020. MTHE 4700. Senior Project in Elementary Mathematics Teaching (3) F, 5 Projects in preparing, teaching and revising sequential mathematics lessons for elementary students. Prerequisite: MATH 2010 and MATH 2020. MTHE 5010. Methods and Technology for Teaching Secondary Mathematics (3) Topics in secondary mathematics are taught to in-service teachers using a variety of methods and technology to make them better prepared for teaching secondary mathematics. Expository presentations about a current mathematics education research area are expected. MTHE 5210. Calculus with Analytic Geometry (4) Analytic geometry, differentiation, integration, and applications. Prerequisite: MATH QL1050 and 1060 or MATH QL1080 or placement test. MTHE 5220. Calculus with Analytic Geometry (4) Transcendental functions, techniques of integration, conic sections, polar coordinates, infinite series, introduction to partial derivatives. Prerequisite: MTHE 5210. MTHE 5230. Mathematics Computer Laboratory (1) Computer solution of mathematics problems. May be taken concurrently with any lower division mathematics course. Prerequisite: Approval of instructor. Weber State University 2010-2011 Catalog