264 265 Math 310 or Math 331 Math 312 Math 316 Math 325 Math 141 or Math 341 MathEd 301 Foundations of Algebra 3 Intro to Modern Algebra 3 Foundations of Geometry 3 Number Theory 4 Elementary Linear Algebra 3 Applied Probability & Statistics 4 Probability & Statistics 4 Teaching of Mathematics 3 MATHEMATICS COURSES-MATH ND95. College Arithmetic (3) A, W, S Fundamental concepts of arithmetic. Does not count toward graduation. ND96. First Course in Algebra (5) Su, A, W, S Sets, relations, functions, positive and negative numbers, rational expressions, linear equations and inequalities, polynomial functions. Does not count toward graduation. ND97. Fundamentals of Geometry (2) Fundamental concepts of geometry and measure. Does not count toward graduation. 103. Contemporary Mathematics I (3) Su, A, W, S Collecting data, describing data, probability, interpreting data. This course and Math 104 (with a grade of 2.0 or higher) will satisfy the Mathematics Competency Requirement. Prerequisite: 1 year of beginning algebra (or equivalent) and a math ACT score of 17 or higher; or a grade of C (2.0) or higher in Math ND96. 104. Contemporary Mathematics II (3) Su, A, W, S Geometry and measurement, population growth, computers. This course and Math 103 (with a grade of 2.0 or higher) will satisfy the Mathematics Competency Requirement. Prerequisite: 1 year of beginning algebra (or equivalent) and a math ACT score of 17 or higher; or a grade of C (2.0) or higher in Math ND96. 105. Intermediate Algebra (5) Su, A, W, S Exponents and radicals, exponential and logarithms, polynomial and rational functions, quadratic functions, systems of equations. Prerequisite: Math ND96 or placement test. 106. Trigonometry (5) 5m, A, W, S Trigonometric functions and their properties. Prerequisite: Math 105 or placement test. 107. College Algebra (5) Su, A, W, S Selected topics in algebra including inequalities, logarithms, theory of equations, matrices, determinants and progressions. Prerequisite: Math 105 or placement test. 108. Pre-calculus (5) A A refresher course for students who have had previous courses in College Algebra and in Trigonometry. 111. Calculus with Analytic Geometry (5) Su, A, W, S Analytic geometry, differentiation and applications. Prerequisite: Math 106 and 107 or Math 108 or placement test. 112. Calculus with Analytic Geometry (5) Su, A, W, S Integral calculus, transcendental functions and applications. Prerequisite: Math 111. 113. Calculus with Analytic Geometry (5) Su, A, W, S Infinite series, vectors, partial differentiation, optimization of multivariate functions. Prerequisite: Math 112. 141. Applied Probability and Statistics (4) A, S Basic concepts of probability and statistics with an emphasis on applications. Prerequisite: Math 107. 200. Mathematics Computer Laboratory (1) W Computer solution of mathematics problems. May be taken concurrently with any lower division mathematics course. Prerequisite: Approval of instructor. (May be repeated with a maximum of 5 hours.) 215. Applied Calculus (5) Topics and applications in functions, differentiation and integration of functions of one and several variables for students in Business, Economics, Life and Social Sciences, Education, and Technology. Prerequisite: Math 107. 292. Short Courses, Workshops, Institutes and Special Programs (1-6) Consult the quarterly class schedule for the current offering under this number. The specific title and credit authorized will appear on the student transcript. 302. History of Mathematics (4) The major accomplishments of mathematics are studied from a historical perspective using methods employed by the discovering mathematicians. Prerequisite: Math 112. 310. Foundations of Algebra (3) W Set theory and the structure of the system of real numbers. Prerequisite: Math 113. 312. Foundations of Geometry (3) A Postulate systems of geometry. Prerequisite: Math 113. 316. Number Theory (4) S Foundations of number theory, congruencies, residues, and reciprocity. Prerequisite: Math 113. 321. Calculus of Several Variables (3) 5m, A, WS Multivariate integration, vector fields, divergence, curl, fundamental integral theorems. Prerequisite: Math 113. 325. Elementary Linear Algebra (3) 5m, A, W, 5 Systems of linear equations, matrices, and vector spaces. Emphasis on computational linear algebra. Prerequisite: Math 113. 326. Advanced Calculus (3) W 1996-97; A 1997-98 Vector valued functions of several variables, linear approximations, Taylor's theorem, multivariate change of variables, Jacobians, implicit function theorem, inverse function theorem. Prerequisite: Math 321. Corequisite: Math 325. 331, 332. Introduction to Modern Algebra (3-3) W, 5 (Alternate years - offered 1997-98, 331 offered 5 1996-97) Structure of algebraic systems. Prerequisite: Math 325 for 331; Math 331 for 332. 335. Linear Algebra (3) A or W (Alternate years - in W1996-97). Prerequisite: Math 325. 341, 342, 343. Probability and Statistics (4-4-4) A, W, 5 Introductory probability theory and mathematical statistics. Corequisite: Math 321 or prerequisite of Math 113 and consent of instructor. Further prerequisites: Math 341 for 342; Math 342 for 343. 355. Introduction to Mathematical Modeling (4) A 1996-97; Su, 5 1997-98 Formulation, solution and interpretation of mathematical models for problems occurring in areas of physical, biological and social science. Prerequisite: Math 113. Corequisite: Math 141 or 341 or consent of instructor. 357. Linear Optimization (4) 5 (Alternate years; offered 1996-97) Study of problems in linear optimization with primary emphasis on the solution of linear programming problems and selected applications. Prerequisite: Math 112. 361. Graph Theory (4) A Graphs, trees, matching, networks, optimization, applications, graph algorithms and computational complexity. Prerequisite: Math 112. 362. Enumeration (4) W The principles of enumeration, counting problems, generating functions, recurrence relations, inclusion-exclusion, and applications. Prerequisite: Math 112. 363. Topics in Combinatorics (4) 5 (Alternate years; offered 1996-97) Ramsey theory, bipartite graphs, computational complexity, coding theory, block designs and/or other topics of combinatorics. Prerequisite: Math 361 and Math 362. 371. Differential Equations (4) A, 5 or W (Alternate years; A in 1996-97) First and second order equations and models, linear equations, Laplace transforms. Prerequisite: Math 113. 373. Boundary Value Problems (4) W or 5 (Alternate years; 5 in 1996-97) Series solutions, Fourier series, separation of variables, boundary value problems, orthogonal functions. Prerequisite: Math 371. 374. Differential Equations, Systems (4) W (Alternate years; offered in 1996-97) Matrix approach to systems, plane autonomous systems, nonlinear equations, models. Prerequisites: Math 325 and Math 371. 376. Partial Differential Equations (4) 5 (Alternate years; not offered 1996-97) First order equations, characteristics and classifications, Green's integral identities, models. Prerequisites: Math 321 and Math 373. 381. Complex Variables (4) A, 5«, S 1996-97; W1997-98 Analysis and applications of functions of a single complex variable. Prerequisite: Math 113. 421, 422, 423. Introductory Real Analysis (3-3-3) A, W, 5 (Alternate years - Offered 96-97); 421 offered W 97-98 Analysis of functions of one and several real variables. Theory of limits, continuity, differentiation, Riemann integration, sequences and series, partial differentiation, multiple integration, other topics. Prerequisite: Math 321 for 421; Math 421 for 422; Math 422 for 423. 432. Topology (3) A (Alternate years - Not Offered 96-97) Introduction to point-set topology. Metric spaces, topological spaces, subspaces, product spaces, relative topology, continuity, homeomorphisms, connectedness, compactness. Prerequisite: Math 421. 461, 462, 463. Numerical Analysis (4-4-4) A, W, 5 Introduction to numerical methods. Use of the digital computer in solving otherwise intractable problems. Prerequisite: Math 325 and CS 140 or 160 or other approved programming language; Math 461 for 462; 462 for 463. 475. Topics in Mathematics (2-4) This course will vary with the demand and may be taken more than once for a maximum of 5 credit hours. Prerequisite: Consent of the instructor. 492. Short Courses, Workshops, Institutes and Special Programs (1-6) Consult the quarterly class schedule for the current offering under this number. The specific title and credit authorized will appear on the student transcript. 495. Senior Research Project (3) Mathematical research project for seniors, to be overseen by a faculty committee. A written (typed) report is required as is a presentation to the faculty committee. Students must register for this course at least two quarters before they intend to graduate. Prerequisite: Mathematics Department approval. MATHEMATICS EDUCATION COURSES-MATHED Courses numbered above 500 are restricted to in-service teachers and credit should not be given for students who have received credit for the corresponding undergraduate course. 203. Mathematics for Elementary Teachers (3) A, W, 5 Properties of whole numbers and integers. Two hour lecture, two hours recitation and laboratory. Prerequisite: MathEd 205. 204. Mathematics for Elementary Teachers (3) A, W, 5 Properties of rational and real numbers; probability and statistics. Prerequisite: MathEd 203. 205. Mathematics for Elementary Teachers (3) A Geometry. Prerequisite: Math 105 or consent of instructor. 301. Teaching of Secondary School Mathematics (3) S Organization of subject matter, methods of presenting particular topics, teaching aids, evaluation of results. Prerequisite: Math 113. 306. Probability and Statistics for Elementary Teachers (3) A (Alternate years; offered 97-98) Prerequisite: MathEd 205 or equivalent. 307. Geometry for Elementary Teachers (3) A (Alternate years; offered 96-97) Prerequisite: MathEd 205 or equivalent. 308. Number Theory for Elementary Teachers (3) W (Alternate years; offered 97-98) Prerequisite: MathEd 205 or equivalent. 403. Using Technology in Mathematics Instruction (3) W Prerequisite: MathEd 205 or equivalent. 404. Mathematical Problem Solving for Elementary Teachers (3) 5 (Alternate years; offered 97-98) Prerequisite: Math 107 and MathEd 205. 409. Discrete Mathematics for Elementary Teachers (3) 5 (Alternate years; offered 96-97) Prerequisite: Math 107 and MathEd 205. 410. Intuitive Calculus for Elementary Teachers (3) W (Alternate years; offered 96-97) Prerequisite: MathEd 107 and MathEd 205. 470. Senior Project in Elementary Mathematics Teaching (4) Prerequisite: Permission of the Instructor. 511. Algebra for In-Service Teachers (3) Concepts and teaching strategies for intermediate algebra. 512. Trigonometry for In-Service Teachers (3) Concepts and applications of circular functions with an emphasis on teaching strategies. GEN ED & CORE COURSES Interdisciplinary HONOURS/BIS LIBSCI WS Applied Science & Technology PRENGR CS EET MFET MET CMT DG AUTOSV AUTOTC IDT SST TBE Arts & Humanities COMMUN ENGL FORLANG DANCE MUSIC THEATR ART Business & Econ MPACC ACCTNG BUSADM LOG FIN MGMT MKTG ECON IS&T Education MEDUC CHFAM HEALTH NUTRI PE REC EDUC CLS DENSCI PARAMD HTHSCI HAS HIM MRSCI NURSNG RADTEC DMS NUCMED RADTHR RESTHY Science SE BOTANY CHEM GEOSCI MATH MATHED" MICRO PHSX ZOOL Social & Behavioral Sciences CJ GEOGR HIST POLSC PHILO PSYCH SOCLWK GERONT SOCLGY ANTHRO MILSCI AEROSP NAVSCI Weber State University Weber State University