Mathematics Mathematics General Information 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 111 (5), 112 (5), 113(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), 111 (5), 112 (5), 113 (5), 310 (3) or 331 (3), 312 (3), 325 (3), 141 (4) or 341 (4), 316 (4); Mathed 301 (3). • Students obtaining a Mathematics Teaching Emphasis must satisfy Teacher Education admission and certification requirements (see Teacher Education). . Is \ / AA 1X1 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, exponentials 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) Su, A,WS Multivariate integration, vector fields, divergence, curl, fundamental integral theorems. Prerequisite: Math 113. 325. Elementary Linear Algebra (3) Su, A, W, S Systems of linear equations, matrices, and vector spaces. Emphasis on computational linear algebra. Prerequisite: Math 113. 326. Advanced Calculus (3) Su, S 1995-96; W1995-97; 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, S (Alternate years - Not offered 1996-97) Structure of algebraic systems. Prerequisite: Math 325 for 331; Math 331 for 332. 335. Linear Algebra (3) A in 1995-96) Prerequisite: Math 325. AorW (Alternate years 341,342,343. Probability and Statistics (4-4-4) A, W, S 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) W1995-96; A 1996-97; Su, S 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) S (Alternate years; not offered 1995-96) 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, matchings, 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; not offered 1995-96) 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,S orW (Alternate years; A, S in 1995-96) First and second order equations and models, linear equations, Laplace transforms. Prerequisite: Math 213. 373. Boundary Value Problems (4) WorS (Alternate years; S in 1995-96) Series solutions, Fourier series, separation of variables, boundary value problems, orthogonal functions. Prerequisite: Math 371. 374. Differential Equations, Systems (4) W (Alternate years; not offered in 1995-96) Matrix approach to systems, plane autonomous systems, nonlinear equations, models. Prerequisites: Math 325 and Math 371. 376. Partial Differential Equations (4) S (Alternate years; offered 1995-96) First order equations, characteristics and classifications, Green's integral identities, models. Prerequisites: Math 321 and Math 373. 381. Complex Variables (4) A 1995-96; Su, 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, S (Alternate years - Offered 96-97); 421 offered W 95-96 Analysis of functions of one and several real variables. Theory of limits, continuity, differentiation, Riemann integrations, 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, S Introduction to numerical methods. Use of the digital computer in solving otherwise intractable problems. Prerequisite: Math 325 and Comsci 140 or 160 or other approved programming language; Math 461 for 462; 462 for 463. Student Services Interdisc Programs Applied Science & Technology Arts & Humanities Business & Economics Education Health Professions Science Social & Behavioral Sciences 106 107 Continuing Education