Mathematics Mathematics Mathematics Teaching Emphasis: • Mathematics courses required (58-60 credit hours): Mathed 301 (3); Math 211 (5), 212 (5), 213 (5), 321 (3), 325 (3), 310 (3), 312 (3), 331 (3), 341 (4), 371 (4), 416 (4), 421 (3), 461 (4) plus one complete sequence from the sequences A, B, D or F. Other mathematics courses numbered above 309 may be substituted with departmental approval. • Support courses required: Commun HU 102 (3). Courses submitted to satisfy the Physical Science area requirement must include 10 hours from the following: Phsx NS261 (4), 262 (4), 263 (4), NS264 (1), 265 (1), 266 (1) and/or Chem NS121(5), 122(5). PROGRAM: PHYSICAL SCIENCE/ MATHEMATICS/COMPUTER SCIENCE COMPOSITE TEACHING MAJOR - (See program requirements in the Composite Teaching Majors section of the College of Education.) PROGRAM: MATHEMATICS DEPARTMENTAL HONORS General Requirements: • Enroll in General Honors Program and complete at least 10 hours of General Honors courses (see the Interdisciplinary Programs section of the catalog). • Maintain an overall GPA of 3.3 and a mathematics GPA of 3.3. • Fulfill the requirements for the departmental Mathematics major. Specific Requirements: • In fulfilling the requirements for a regular Mathematics major, take at least 9 credit hours from Mathematics Electives I, 3 of which must be Math 495. The required Mathematics courses and Mathematics electives must total 63 hours. At least 15 hours of Mathematics courses numbered above 326 must be taken for Honors credit. Permission from the department chair should be sought before registering in a course for Honors credit. A written agreement should be reached with the appropriate professor regarding the work expected for Honors credit. (See the Interdisciplinary Programs section of the catalog.) PROGRAM: MATHEMATICS MINOR AND MATHEMATICS TEACHING MINOR General Requirements: • A grade of C or better in all minor courses. • At least one four-credit hour course numbered above 308 must be completed at Weber State. Specific Requirements: Regular Emphasis: • Courses required (18 credit hours): Math 211 (5), 212 (5), 213 (5), 325 (3). • Electives: At least 9 hours of Mathematics courses numbered 310 or higher. Mathematics Teaching Emphasis: • Courses required (36 credit hours): Math 200 (1), 211 (5), 212 (5), 213 (5), 310 (3) or 331 (3), 312 (3), 325 (3), 241 (4) or 341 (4), 416 (4); Mathed 301 (3). • Students obtaining a Mathematics Teaching Emphasis must satisfy the College of Education Certification Program (see Teacher Education). These courses must include the following: Educ 195 (1), 300 (2), 301 (4), 303 (3), 305 (3), 462 (4), 463 (4), 495 (15), 499 (3). MATHEMATICS COURSES-MATH M 95. College Arithmetic (3) A, W, S Fundamental concepts of arithmetic. Does not count toward graduation. 96. 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. 97. Fundamentals of Geometry (2) Fundamental concepts of geometry and measure. Does not count toward graduation. 105. Intermediate Algebra (5) Su, A, W, S Exponents and radicals, exponentials and logarithms, polynomial and rational functions, quadratic functions, systems of equations. Prerequisite: Math 96 or placement test. 106. Trigonometry (5) Su,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. 118. Pre-calculus (5) A A refresher course for students who have had previous courses in College Algebra and in Trigonometry. 200. Mathematics Computer Laboratory (1) S 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.) General Information 211. Calculus with Analytic Geometry (5) Su,A,W,S Analytic geometry, differentiation and applications. Prerequisite: Math 106 and 107 or placement test. 212. Calculus with Analytic Geometry (5) Su, A, W, S Integral calculus, transcendental functions and applications. Prerequisite: Math 211. 213. Calculus with Analytic Geometry (5) Su, A, W, S Infinite series, vectors, partial differentiation, optimization of multivariate functions. Prerequisite: Math 212. 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. 241. Applied Probability and Statistics (4) A, S Basic concepts of probability and statistics with an emphasis on applications. 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 212. 310. Foundations of Algebra (3) A Set theory and related topics to understand the structure of the system of real numbers. Prerequisite: Math 213. 312. Foundations of Geometry (3) W Postulate systems of geometry. Prerequisite: Math 213. 321. Calculus of Several Variables (3) Su,A,WS Multivariate integration, vector fields, divergence, curl, fundamental integral theorems. Prerequisite: Math 213. 325. Elementary Linear Algebra (3) Su, A, W, S Systems of linear equations, matrices, and vector spaces. Emphasis on computational linear algebra. Prerequisite: Math 213. 326. Advanced Calculus (3) 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) A, W (Offered 91-92) Structure of algebraic systems. Prerequisite: Math 325. 335. Linear Algebra (3) 5 Prerequisite: Math 325. 341,342,343. Probability and Statistics (4-4-4) A, W, S Introductory probability theory and mathematical statistics. Prerequisite: Math 321 or Math 213 and consent of instructor. 355. Introduction to Mathematical Modeling (4) W Formulation, solution and interpretation of mathematical models for problems occurring in areas of physical, biological and social science. Prerequisite: Math 321 or consent of instructor. 357. Linear Optimization (4) Study of problems in linear optimization with primary emphasis on the solution of linear programming problems and selected applications. Prerequisite: Math 212. 361. Graph Theory (4) A Graphs, trees, matchings, networks, optimization, applications, graph algorithms and computational complexity. Prerequisite: Math 212. 362. Enumeration 362 (4) W The principles of enumeration, counting problems, generating functions, recurrence relations, inclusion-exclusion, and applications. Prerequisite: Math 212. 363. Topics in Combinatorics (4) 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, W First and second order equations and models, linear equations, Laplace transforms. Corequisite: Math 321. 373. Boundary Value Problems (4) W Series solutions, Fourier series, separation of variables, boundary value problems, orthogonal functions. Prerequisite: Math 371. 374. Differential Equations, Systems (4) 5 Matrix approach to systems, plane autonomous systems, nonlinear equations, models. Prerequisites: Math 325 and Math 371. 376. Partial Differential Equations (4) First order equations, characteristics and classifications, Green's integral identities, models. Prerequisites: Math 326 and Math 373. 381. Complex Variables (4) S Analysis and applications of functions of a single complex variable. Prerequisite: Math 213. 416. Number Theory (4) Su, S Foundations of number theory, congruences, residues, and reciprocity. Prerequisite: Math 213. Student Services Interdisc Programs Applied Science & Technology Arts& Humanities Business & Economics Education Health Professions Science Social & Behavioral Sciences 106 107 Continuing Education