262 263 Prerequisites Since each course in mathematics requires a working knowledge of principles from prerequisite courses, students are required to earn a "C" grade in each prerequisite course before registering for the next course. Placement tests are required, prior to registration, of all students who have not completed the specified prerequisite courses from an accredited college with a "C" grade or better within the past year. Students are admitted to Mathematics 105 on the basis of their performance on the ACT entrance tests and their high school background. Further placement in mathematics 106, 107, or 111 is possible by scoring sufficiently high on the level II ACT mathematics test. Other tests are available for credit and/or higher placement for qualified students. Arrangements to take the examinations must be made with the Weber State Testing Center. Students are advised to review material to be tested before the examinations are taken. It is recommended that students have their programs (majors and minors) approved before registering for upper division courses. Mathematics Major BACHELOR DEGREE (B.S. OR B.A.) » Program Prerequisite: Not required for Regular and Applied Mathematics Emphases. Mathematics Teaching majors must meet the Teacher Education admission and certification requirements (see Teacher Education Department in this catalog). » Minor: Required for the departmental major. In lieu of a minor in the Applied Mathematics Emphasis, a student must take CS 140 (4), CS 160 (4), CS 220 (4), or CS 225 (4), and 20 additional hours of approved courses in Physics, Chemistry, Computer Science, Pre-engineering, or Business. At least eight of these 20 hours must be upper division (courses numbered 300 or higher). » Grade Requirements: A grade of "C" or better in courses required for this major (a grade of "C-" is not acceptable), in addition to an overall 2.0 GPA and a 2.0 GPA in mathematics classes numbered 111 or above. Mathematics Teaching majors must achieve an overall GPA of 3.00 for admission to the Teacher Education program. » Credit Hour Requirements: A total of 183 credit hours is required for graduation—68-76 of these are required within the major. A total of 60 upper division credit hours is required (courses numbered 300 and above) — at least twelve credit hours of Mathematics courses numbered 310 or above must be completed at Weber State. Advisement All Mathematics majors should see the Mathematics Department to be assigned an advisor. They should meet with their advisors at least once a year to help plan their programs and check on their progress. Call 626-6095 for more information or to schedule an appointment. Admission Requirements Declare your program of study (refer to page 30 of this catalog). There are no special admission or application requirements for the Regular or Applied mathematics emphases. Mathematics Teaching majors must meet the Teacher Education admission and certification requirements (see Teacher Education Department in this catalog). Core and General Education Refer to page 32-36 of this catalog for either Bachelor of Science or Bachelor of Arts requirements. Phsx PS161 and Phsx PS 164 will fulfill both requirements for both the major and General Education. Psych SSlOl (5) in Social Science area is recommended for Mathematics Teaching Emphasis. Mathematics Sequences A. Algebra Sequence Math 331 Math 332 Math 335 Introduction to Modern Algebra Introduction to Modern Algebra " Linear Algebra B. Probability and Statistics Sequence Math 341 Probability & Statistics Math 342 Probability & Statistics Math 343 Probability & Statistics C. Combinatorics Sequence Math 361 Graph Theory Math 362 Enumeration Math 363 Topics in Combinatorics D. Differential Equations Sequence Math 371 Differential Equations Math 373 Boundary Value Problems Math 374 Differential Equations, Systems or Math 376 Partial Differential Equations Analysis Sequence Math 421 Math 422 Math 423 Introductory Real Analysis Introductory Real Analysis Introductory Real Analysis Numerical Analysis Sequence Math Math Math 461 462 463 Mathematics Electives I Math Math Math Math Math 331 332 335 432 495 Mathematics Electives II Math 341 Math 361 Math 495 Mathematics Electives HI Math 373 Math 462 Numerical Analysis Numerical Analysis Numerical Analysis Introduction to Modern Algebra Introduction to Modern Algebra Linear Algebra Topology Senior Research Project Probability & Statistics Graph Theory Senior Research Project Boundary Value Problems Enumeration Math 111-113 Math 321 Math 325 Math 326 Math 421 Math 422 Math 423 Math 461 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 3 3 3 4 4 3 4 4 Course Requirements for Regular Emphasis B.S. or B.A. Degree Mathematics Courses Required (37 credit hours) Calculus with Analytic Geometry 15 Calculus of Several Variables 3 Elementary Linear Algebra 3 Advanced Calculus 3 Introductory Real Analysis 3 Introductory Real Analysis 3 Introductory Real Analysis 3 Numerical Analysis 4 Mathematics Electives (23 credit hours) Complete any Mathematics courses numbered 310 or above (not including any required courses) so that required mathematics courses and mathematics electives total at least 60 credit hours. The required and elective courses must include one complete mathematics sequence chosen from sequences A, B, C, D, or F above. At least 6 credit hours of these electives must come from Mathematics Electives I (see above). Support Courses Required Phsx PS161-166 Physics for Scientists & Engineers 15 Graduate School Preparation In addition to the analysis sequence (E), it is highly recommended that students planning on graduate work in Mathematics take the Algebra sequence (A) and Topology (Math 432). It is also recommended that students obtain a reading knowledge in at least one foreign language. See the Mathematics Department for counseling. Course Requirements for Applied Mathematics Emphasis B.S. or B.A. Degree Mathematics Courses Required (42 or 43 credit hours) Calculus with Analytic Geometry 15 Math 111-113 Math 321 Math 325 Math 326 Math 371 Math 421 Math 461 Calculus of Several Variables Elementary Linear Algebra Advanced Calculus Differential Equations Introductory Real Analysis Numerical Analysis one course from Mathematics Electives II one course from Mathematics Electives III 3 3 3 4 3 4 3-4 4 Mathematics Electives (17-18 credit hours) Complete any Mathematics courses numbered 310 or above, not including courses taken to satisfy the required courses, so that the mathematics electives and required mathematics courses total at least 60 credit hours. The required and elective courses must include 2 complete mathematics sequences chosen from sequences B, C, D, E, or F above. Support Courses Required (39 credit hours) Phsx PS161-166 Phsx for Scientists & Engin. w/lab 15 These courses may be replaced with 15 credits of approved courses in another area. One course chosen from: CS 140 CS 160 CS 220 CS 225 Prob Solv Using Pascal Modula-2 4 Prob Solv Using Fortran 4 Struct Comp Using C/C++ Lang 4 Intro Struct and Object Prog-Ada 4 An additional 20 credit hours of approved courses in Physics, Chemistry, Computer Science, Pre-engineering or Business. At least 8 of these 20 hours must be upper division. Graduate School Preparation It is recommended that students planning on graduate work in Applied Mathematics take the Analysis sequence (E), Linear Algebra (Math 335), and the Differential Equations sequence (D). It is also recommended that students obtain a reading knowledge in at least one foreign language. See the Mathematics Department for counseling. Course Requirements for Mathematics Teaching Emphasis B. S. or B.A. Degree Mathematics Courses Required (58-60 credit hours) Teaching of Mathematics 3 Calculus with Analytic Geometry 15 3 3 4 3 3 3 4 4 3 4 MathEd 301 Math 111-113 Math 310 Math 312 Math 316 Math 321 Math 325 Math 331 Math 341 Math 371 Math 421 Math 461 Foundations of Algebra Foundations of Geometry Number Theory Calculus of Several Variables Elementary Linear Algebra Introduction to Modern Algebra Probability & Statistics Differential Equations Introductory Real Analysis Numerical Analysis Plus one complete sequence from the sequences A, B, C or E. Other mathematics courses numbered above 309 may be substituted with departmental approval. Support Courses Required Courses submitted to satisfy the Physical Science area requirement must include 10 hours from the following: Phsx PS161-PS166 Phsx for Scientists & Eng w/Lab 15 &/orChem PS121/122 Principles of Chemistry 10 Physical Science Composite Teaching Major BACHELOR DEGREE (B.S OR B.A.) (See the Department of Physics section in this catalog for program requirements.) MATHEMATICS DEPARTMENTAL HONOURS » Program Prerequisite: Enroll in General Honours Programme and complete at least 10 hours of General Honours courses (see the Interdisciplinary Programs section of this catalog). » 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, of which at least 9 credit hours must be taken 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 Honours credit. Permission from the department chair should be sought before registering in a course for Honours credit. A written agreement should be reached with the appropriate professor regarding the work expected for Honours credit. (See the Interdisciplinary Programs section of this catalog.) MATHEMATICS MINOR AND TEACHING MINOR » 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 27 credit hours for regular emphasis and 36 credit hours for Mathematics Teaching minor. At least one four-credit hour course numbered above 308 must be completed at Weber State. Students who select the Mathematics Teaching Minor must satisfy the Teacher Education admission and certification requirements (see Teacher Education Department in this catalog). Course Requirements for Mathematics Minor (Regular Emphasis) Mathematics Courses Required (18 credit hours) Math 111-113 Calculus with Analytic Geometry 5 Math 325 Elementary Linear Algebra 3 Electives (9 credit hours) Select at least 9 hours of Mathematics courses numbered 310 or higher. Course Requirements for Mathematics Teaching Minor Mathematics Courses Required (36 credit hours) Math 111-113 Calculus with Analytic Geometry 15 Math 200 Mathematics Computer Laboratory 1 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 SE BOTANY CHEM GEOSCI MATH- MATH ED 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