COLLEGES * Complete an additional 3000-level LIN course ( or LIN 2100) and LIN 3010 by the end of semester 5 * GPA of 2.5 or better in courses listed as criti- cal tracking criteria in semesters 1-4 Semester 6 Spring Linguistics or linguistics-related courses (3000-level or above)....................................9 Elective ..................................... ...... ...... 6 15 SENIOR YEAR Semester 7 Fall Credits Linguistics or linguistics-related courses (3000-level or above)....................................6 Electives (3000-level or above, not in major) ......6 Physical or Biological Sciences (GE)....................3 15 Semester 8 Spring Linguistics or linguistics-related courses (3000-level or above); only 3 credits can be LIN ..................................................... 6 Electives (3000-level or higher, not in major) .....9 15 A non-Indo-European language is recom- mended. ** Can substitute with another linguistically-ori- ented course (see department list). Mathematics Read the earlier sections describing general education and CLAS requirements. Refer espe- cially to the Majors and Minors in the College section for program variations and other clari- fying information. At the time this catalog went to press, sev- eral changes were pending in the universal tracking plans for majors and for course level (1000, 2000, etc.) for certain courses in the State University System. Students should consult the relevant department or 100 AAC for up-to-date course information. THE MAJOR: The Department of Mathe- matics offers both the Bachelor of Science and the Bachelor of Arts, the requirements for which are the same. It also offers a minor in mathematics. The undergraduate major is a broad mathe- matical sciences major consisting of six elective packages built around a solid mathematical core. The student may choose an elective pack- age in pure mathematics, applied mathematics, statistics, computer science, physics or opera- tions research. The program is designed to facil- itate a minor in statistics, computer science, physics, actuarial science or education. Students who intend to major in mathemat- ics should consult a department adviser. A brochure which gives additional information regarding the undergraduate major can be obtained in 358 Little Hall. Continuation in the undergraduate mathe- matics major beyond semester four requires the following: Completion of each of MAC 2312 and MAC 2313, or equivalent, with a grade of C+ or bet- ter, and An overall GPA of at least 2.5 Continuation of all other students will be conditional and determined on an individual basis. Students intending to major in mathemat- ics should consult a mathematics adviser as early as possible. COURSES: The following course work must be completed with a grade of C or better: CORE COURSES Ct Calculus 2: MAC 2312 or MAC 3512 or MAC 3473 Calculus 3: MAC 2313 or MAC 3474 Differential Equations: MAP 2302 Computer Programming: One of CIS 3020, CGS 2425+2425L, CGS 2420, CGS 2460, CGS 2462 Statistics: STA 4321 Linear Algebra: MAS 4105 (see NOTE 1) Abstract Algebra: MAS 4301 Advanced Calculus (see NOTE 2): edits MAA 4211-2 or MAA 4102-3 6 TOTAL 30 NOTE 1: Mathematics majors should take MAS 3300 before MAS 4105. NOTE 2: Credit toward the major will be given for MAA 4211 and MAA 4102, and at most, one of MAA 4212, MAA 4103. ELECTIVE COURSES Four courses (11-12 credit hours) from the elective list must be completed, two of which satisfy one of the elective packages. ELECTIVE PACKAGES Pure mathematics: Two courses from MAD 4203, MAD 4204 Combinatorics 1,2 MAS 4107 Linear Algebra 2 MAC 4302 Abstract Algebra 2 MAS 4203 Number Theory or one of the sequences MHF 4102-MHF 4203 Set Theory/Foundations MTG 4302-3 Topology 1,2 Applied Mathematics: Two courses from MAA 4402 Complex Variables MAD 4203 Combinatorics 1 MAD 4401 Numerical Analysis MAP 4305 Differential Equations 2 MAP 4341 Partial Differential Equations MAP 4413 Fourier Analysis MAS 4124 Numerical Linear Algebra MAP 4310 Advanced Differential Equations Statistics: STA 4322 Mathematical Statistics 2 MAP 4102 Stochastic Processes Computer Science: COP 3530 Data Structures and one of: MAD 4203 Combinatorics 1 MAD 4401 Numerical Analysis MAD 4504 Theory of Computing MAS 4124 Numerical Linear Algebra MAS 4203 Number Theory Physics: One of PHY 3221 Mechanics 1 PHY 3323 Elect. and Magnetism 1 PHY 4604 Quantum Mechanics 1 and one of: MAA 4156 Vector Analysis MAA 4402 Complex Variables MAP 4305 Differential Equations 2 MAP 4341 Partial Differential Equations Operations Research: ESI 4312 Operations Research 1 and one of: MAD 4203 Combinatorics 1 MAD 4204 Combinatorics 2 MAD 4401 Numerical Analysis MAS 4124 Numerical Linear Algebra ELECTIVE LIST Mathematics: MAS 3300 Numbers and Polynomials MHF 3202 Sets and Logic MTG 3212 Geometry and any course at the 4000-level or above with the prefix MAA, MAD, MAP, MAS, MHF, or MTG. NOTE: At most one of MAS 3300 and MHF 3202 may count in the major. Statistics: STA 4322, STA 4210, STA 4211 Computer and Information Sciences: COP 3530, CDA 3101, COP 4600 Physics PHY 3221, PHY 4222, PHY 3323, PHY 4324, PHY 4604 Industrial and Systems Engineering: ESI4312, ESI4313, ESI4221 PHYSICAL SCIENCES DISTRIBUTION REQUIREMENT: All mathematics majors should meet the college distribution require- ment in the physical sciences with the physics sequence PHY 3048-3049, Physics with Calculus. NORMAL ACADEMIC PROGRESS: A student who fails to maintain normal academic progress, as described below, may be excluded from the mathematics major. Undergraduate mathematics majors must: *Maintain an overall GPA of at least 2.0 by semester 5. Take at least one course in the mathematics major during each fall and spring semester enrolled unless a mathematics department adviser has permitted otherwise. For each core course, earn a grade of "C" or better within two attempts (including the grade of W). Take no mathematics course at the 3000-level or below that is not in the major program except with prior adviser permission. Fulfill the requirements for the major before accumulating 120 total credit hours. HONORS: Refer to the CLAS section of the catalog and contact the department. ACCELERATED BACHELORS/MASTERS PROGRAM: The accelerated bachelors/masters program is designed for superior students who have the ability to pursue an accelerated pro- gram in mathematics that leads to a Master of Science or a Master of Arts. Up to 21 semester hours of approved graduate-level mathematics courses may be used as dual credit for both the undergraduate and the graduate degree. All requirements for both the bachelor's degree and the master's degree must be met. Contact the Department of Mathematics for details.