282 283 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 & non-Euclidean Geometry (3) Math 3410 Probability & Statistics I (3) Math 3160 Number Theory (3) or Math 4110 Modern Algebra I (3) MathEd 3010 Methods & Technology for Teaching Intermediate Secondary Math (3) MATHEMATICS COURSES 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 ACT score of 15 or greater or placement test. Math 1010. Intermediate Algebra (4) Su, F, S Graphs; linear equations and systems; exponents and radicals; polynomial, rational, and logarithmic functions; applications. Prerequisite: Math ND0960 or Math ACT score of 17-22 or placement test. Math 1020. Fundamental of Geometry (3) Su, F, S An introduction to the definitions, methods, and logic of geometry. Prerequisite: Math ND0960 or ACT score of 17 or above or placement test. Math QL1030. Contemporary Mathematics (3) 5m, F, S Mathematics in society and the work place: Collecting, describing and interpreting data; geometry and measurement; patterns of growth; voting issues; decision making. 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) Su, 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) 5 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) Su, F, S Transcendental functions, techniques of integration, analytic geometry, infinite series, multivariable functions, partial derivatives. Prerequisite: Math SI1210. Co-requisite: Math 1100 or ability to use a computer algebra system. Math 2210. Calculus III (4) Su, 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 SI 1220. 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 SI1220. 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. 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 SI 1220 and either passing a placement exam or Math 1020. Math 3160. Number Theory (3) 5 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) 5 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. Math 4110. Modern Algebra I (3) F Logic, sets, and the study of algebraic systems including groups, rings, and fields. Prerequisite: Math 2270. Math 4120. Modern Algebra II (3) 5 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, S 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 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, S Introduction to numerical methods. Use of the digital computer in solving otherwise intractable problems. Prerequisite: Math 2270 and CS SI1220 or other approved 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 Courses numbered above 5000 are restricted to in-service teachers and credit should not be given for students who have received credit for the corresponding undergraduate course. MathEd 2310. Mathematics for Elementary Teachers (3) F, S Geometry, sets, logic, problem solving. Prerequisite: Math QL1050. MathEd 2320. Mathematics for Elementary Teachers (3) F, S Properties of whole numbers, integers, rational numbers, and real numbers; number theory; probability and statistics. Prerequisites: Math QL1050 and MathEd 2310. MathEd 3010. Methods and Technology for Teaching Intermediate Secondary Mathematics (3) F Basic topics in intermediate mathematics are taught to prospective teachers using a variety of methods of presentation and assessment that have special application to the intermediate math classroom. Prerequisite: Math SI1220. MathEd 3020. Methods and Technology for Teaching Advanced Secondary Mathematics (3) S 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: MathEd 3010. MathEd SI3060. Probability and Statistics for Elementary Teachers (3) F Basic Probability and statistics with an emphasis on topics and methods pertinent to prospective elementary school teachers. Prerequisite: MathEd 2310 and 2320. MathEd SI3070. Geometry for Elementary Teachers (3) F Basic Geometry with an emphasis on the topics and methods pertinent to prospective elementary school teachers. Prerequisite: MathEd 2310 and 2320. MathEd SI3080. Number Theory for Elementary Teachers (3) S Survey of elementary number theory concepts with applications to topics of interest plus teaching suggestions. Prerequisite: MathEd 2310 and 2320. MathEd SI4040. Mathematical Problem Solving for Elementary Teachers (3) 5 Mathematical problem solving, discussion of process, writing solutions, and writing extensions. Prerequisite: MathEd 2310 and 2320. General PROFILE ENROLLMENT STUDENT AFFAIRS ACADEMIC INFO DEGREE REQ GENED Interdisciplinary FYE HNRS BIS LIBSCI INTRD MINORS Applied Science & Technology CEET CS MFET/MET CMT DG PRENGR AUTOSV/AUTOTC IDT SST TBE Arts & Humanities COMM ENGL FORLNG DANCE MUSIC THEATR ART • & Econ MBA MPACC/ACCTNG BUSADM FIN LOM MGMT MKTG ECON/QUANT IS&T ■ ■. ■ ■:.■■-., MEDUC CHFAM ATHL/AT HEALTH/NUTRI PE/REC EDUC Health Professions CLS DENSCI PARAMD HTHSCI HAS/HIM NURSNG RADTEC DMS NUCMED RADTHR RESTHY BOTANY CHEM GEOSCI MATH/MATHED MICRO PHSX ZOOL Social & Behavioral CJ ECON GEOGR HIST POLSC PHILO PSYCH SOCLWK GERONT SOCLGY ANTHRO AEROSP MILSCI NAVSCI Continuing Ed Davis Campus Weber State University Weber State University