284 Math 3120 Math 3160 Math 3410 Math 3420 Math 4110 Math 4210 MathEd 3010 MathEd 3020 Euclidean Sc non-Euclidean Geometry (3) Number Theory (3) Probability Sc Statistics I (3) Probability Sc Statistics II (3) Modern Algebra I (3) Intro Real Analysis (3) Methods Sc Techniques for Teaching Intermediate Secondary Math (3) Methods Sc Techniques for Teaching Advanced Secondary Math (3) Support Courses Required (5-10 credit hours) Complete either Phsx PS/SI2210 Physics for Scientists Sc Engineers (4) Sc Phsx PS/SI2210L Laboratory Physics I (1) Chem PS/SI1210 Sc Chem SI1220 Principles of Chemistry (5) Principles of Chemistry (5) A minor is required. A student must also complete requirements for a secondary education degree as determined by the Jerry and Vickie Moyes College of Education. MATHEMATICS » Program Prerequisite: Enroll in General Honors Program and complete at least 6 hours of General Honors courses (see the Honors Program). » Grade Requirements: Maintain an overall GPA of 3.3 and a mathematics GPA of 3.3. » Credit Hour Requirements: Fulfill the requirements for the departmental Mathematics major (regular emphasis) and some extras, including Math 4910 and 9 hours of upper division Mathematics courses taken for Honors credit, i.e.: Complete Math SI1210, 1220, 2210, 2270, 2280, 4110, 4120, 4210, 4220 plus 15 more hours of upper division mathematics courses (grades of "C" or better required). Nine of the upper division hours must be for Honors credit.* and Complete Math 4910 Senior Research Project and Complete Physics PS/SI2210, PS/SI2210L, SI2220, SI2220L and Complete a minor and Complete general education requirements 'To take a mathematics course for Honors credit, do the following: Enroll in the course, fill out an Agreement for Departmental Honors Component Credit form with the instructor which both the instructor and student should sign, and turn the form in to the Honors Program by the second week of the semester. Then abide by the contract. The requirements will be the regular course assignments plus some extra work which will vary with the course and the instructor, but it could include writing a paper, doing an extra project, doing extra readings and reporting on them, and/or giving a talk to the class (or in some other forum). The extra part of the course will be a significant assignment. MATHEMATICS » Grade Requirements: A grade of "C" or better in all courses used toward the minor (a grade of "C-" is not acceptable). » Credit Hour Requirements: Minimum of 20 credit hours for regular emphasis and 24 credit hours for Mathematics Teaching minor. At least one upper-division mathematics course for three credit hours must be completed at Weber State University. Students who select the Mathematics Teaching Minor must satisfy the Teacher Education admission and certification requirements (see Teacher Education Department). Course Requirements for Mathematics Minor (Regular Emphasis) Mathematics Courses Required (11 credit hours) Math SI1210 Calculus I (4) Math SI1220 Calculus II (4) Math 2270 Elementary Linear Algebra (3) Electives (9-10 credit hours) Take three courses chosen from the following: Math 2210 Calculus III (4) Math 2280 Ordinary Differential Equations (3) any upper division mathematics courses (courses numbered 3000 and higher) Course Requirements for Mathematics Teaching Minor Mathematics Courses Required (23 credit hours) Math SI1210 Calculus I (4) Math SI1220 Calculus II (4) Math 2270 Elementary Linear Algebra (3) Math 3120 Euclidean Sc non-Euclidean Geometry (3) Math 3410 Probability Sc Statistics I (3) Math 3160 Number Theory (3) or Math 4110 Modern Algebra I (3) MathEd 3010 Methods St Technology for Teaching Intermediate Secondary Math (3) MATHEMATICS COURSES - MATH Math ND0950. Pre-algebra (3) F, S Fundamental concepts of arithmetic including pre-algebra, and scientific calculator instruction. Does not count for graduation. Math ND0960. First Course in Algebra (3) Su, F, S Relations, functions, positive and negative numbers, rational expressions, linear equations and inequalities. Does not count toward graduation. Prerequisite: Math ND0950 or placement test. Math 1010. Intermediate Algebra (4) Sm, F, S Graphs; linear equations and systems; exponents and radicals; polynomial, rational, and logarithmic functions; applications. Prerequisite: Math ND0960 or placement test. Math 1020. Fundamentals of Geometry (3) Su, F, S An introduction to the definitions, methods, and logic of geometry. Prerequisite: Math ND0960 or placement test. Math QL1030. Contemporary Mathematics (3) Sm, F, S Topics from mathematics which convey to the student the beauty and utility of mathematics, and which illustrate its application to modern society. Topics include geometry, statistics, probability, and growth and form. Prerequisite: Math 1010 or ACT Math score 23 or higher or placement test. Math QL1040. Introduction to Statistics (3) Su, F, S Basic concepts of probability and statistics with an emphasis on applications. Prerequisite: Math 1010 or Math ACT score 23 or higher or placement test. Math QL1050. College Algebra (4) Sm, F, S 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. Math 1060. Trigonometry (3) Su, F, S 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. Math QL1080. Pre-calculus (5) Su, F, S 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. Math 1100. Mathematics Computer Laboratory (1) S Computer solution of mathematics problems using a computer algebra system. Prerequisites: Math QL1050 and 1060, or Math QL1080, or Co-requisite: Math SI1210. Math 1140. Discrete Mathematics Applied to Computing (3) An overview of the fundamentals of algorithmic, discrete mathematics applied to computation using a contemporary programming language. Topics include logic, proofs, sets, functions, counting, relations, graphs, trees, Boolean algebra, and models of computation. Prerequisite: Math QL1050 or Math QL1080. Math SI1210. Calculus I (4) Su, F, S Limits, continuity, differentiation, integration. Prerequisite: Math QL1050 and 1060 or Math QL1080 or placement test. Corequisite: Math 1100 or ability to use a computer algebra system. Math SI 1220. Calculus II (4) Sm, F, S Transcendental functions, techniques of integration, analytic geometry, infinite series. Prerequisite: Math SI1210. Co-requisite: Math 1100 or ability to use a computer algebra system. Math 2210. Calculus III (4) Sm, F, S Vector algebra, vector valued functions, multivariable functions, partial derivatives, multiple integrals, line integrals, integration in vector fields. Prerequisite: Math SI1220. Math 2250. Linear Algebra and Differential Equations (4) Introduction to Linear Algebra and Differential Equations. Systems of linear equations, matrices, vector spaces, eigenvalues. First and second order differential equations and models, higher order linear equations, linear systems. Prerequisite: Math SI1220. Math 2270. Elementary Linear Algebra (3) F, S Systems of linear equations, matrices, vector spaces, eigenvalues linear transformations, orthogonality. Prerequisite: Math SI1220. Math 2280. Ordinary Differential Equations (3) F, S Methods of solution for ordinary differential equations. Exact equations, linear equations Laplace Transforms, series solutions. Prerequisite: Math SI 1220. Math 2920. 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. 285 Math 3050. History of Mathematics (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 SI1220. Math 3120. Euclidean and Non-Euclidean Geometry (3) F Axiomatic development of geometry; Euclidean and non-Euclidean. Prerequisite: Math SI1220 and either passing a placement exam or Math 1020. Math 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 SI1210. Math 3350. Linear Algebra (3) F or S Theory and applications of linear algebra including abstract vector spaces and canonical forms of matrices. Prerequisite: Math 2270. Math 3410, 3420. Probability and Statistics (3-3) F, S Introductory probability theory and mathematical statistics, including applications. Corequisite: Math 2210 or prerequisite of Math SI1220 and consent of instructor. Further prerequisites: Math 3410 for 3420. Math 3550. Introduction to Mathematical Modeling (3) F or S Formulation, solution and interpretation of mathematical models for problems occurring in areas of physical, biological and social science. Prerequisite: Math 2210, Math 2270 or 2280, or consent from instructor. Math 3610. Graph Theory (3) F Principles of Graph Theory including methods and models, special types of graphs, paths and circuits, coloring, networks, and other applications. Prerequisite: Math SI1210. Math 3620. Enumeration (3) S Principles of Enumeration including counting principles, generating functions, recurrence relations, inclusion-exclusion, and applications. Prerequisite: Math SI1210. Math 3710. Boundary Value Problems (3) F Fourier series and the method of separation of variables. Heat, wave, and potential equations, Sturm-Liouville problems, orthogonal functions, special functions. Prerequisites: Math 2210 and Math 2280. Math 3730. Partial Differential Equations (3) S (alternate years) Partial differential equations. First and second order equations, characteristics and classifications, methods of solution, applications. Prerequisite: Math 3710. Math 3750. Dynamical Systems (3) S (alternate years) Linear and nonlinear systems of differential equations, qualitative behavior and stability of solutions, applications. Prerequisite: Math 2270 and Math 2280. Math 3810. Complex Variables (3) F or S or Su 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: Math 2210. General PROFILE ENROLLMENT STUDENT AFFAIRS ACADEMIC INFO DEGREE REQ GEN ED Interdisciplinary FYE HNRS BIS LIBSCI INTRD MINORS Applied Science A Technology CEET CS MEET/MET CMT CDGT ENGR AUTOSV/AUT0TC IDT SST TBE Arts COMM ENGL FORLNG DANCE MUSIC THEATR ART Business A Econ MBA MPACC/ACCTNG BUSADM FIN LOM MGMT MKTG ECON/QUANT IS&T Education MEDUC CHFAM ATHL/AT HEALTH/NUTRI PE/REC EDUC CLS DENSCI PARAMD HTHSCI HAS/HIM NURSNG RADTEC DMS NUCMED RADTHR RESTHY Science BOTANY CHEM GEOSCI MATH/MATHED- MICRO PHSX ZOOL Social A Behavioral Sciences MCJ/CJ ECON GEOGR HIST POLSC PHILO PSYCH SOCLWK GERONT SOCLGY ANTHRO AER0SP MILSCI NAVSCI Continuing Ed Davis Campus WEBER STATE UNIVERS 2002-2003 CATALOG I T Y WEBER State 2002-2003 Univ Catalog e r s i t y