MATHEMATICS Applied Mathematics: Two courses from MAP 4305, MAP 4310, MAP 4341, MAA 4402, MAD 4401, MAS 4124, MAP 4413, MAD 4203. Probability and Statistics: STA 4322 and MAP 4101. Computer Science: COP 3530 and one of MAD 4401, MAS 4124, MAD 4203, MAD 4504, MAD 3104. Operations Research: ESI 4312 and one of ESI 4313, MAD 4401, MAS 4124, MAD 4203. Alternate but analogous elective packages may be developed subject to the approval of the depart- mental Undergraduate Committee. 2. ELECTIVE LIST Mathematics: MAD 3104, MAS 3203, MAS 3300, MHF 3202, MTG 3212 and any course at the 4000-level or above with the prefix MAA, MAD, MAP, MAS, MHF, or MTG. Statistics: STA 4322, 4210, 4211, 4212. Computer and Information Sciences: COP 3530, COP 3603. Industrial and Systems Engineering: ESI 4312, 4313,4221. PHYSICAL SCIENCES DISTRIBUTION RE- QUIREMENT: It is recommended that all mathemat- ics majors meet the College of Liberal Arts and Sciences distribution requirement in the physical sci- ences with the Physics Sequence PHY 3040-3041. See Physics department for prerequisites to PHY 3040. NORMAL ACADEMIC PROGRESS: Each mathematics major is expected to maintain normal academic progress. A student who fails to maintain normal academic progress, as described below, may be excluded from the mathematics major program. To maintain normal academic progress an under- graduate mathematics major must: 1. Maintain an overall GPA of at least 2.0. 2. Take at least one course in the mathematics major program during each Fall and Spring semester in which he/she is enrolled unless prior permission to do otherwise has been obtained from a mathematics department adviser. 3. For each core course in the mathematics major program, earn a grade of "C" or better within two attempts (including the grade of W). 4. Not take any mathematics course at the 3000- level or below which is not in the mathematics major program except with prior permission of a mathemat- ics department adviser. 5. Fulfill the requirements for the mathematics major before accumulating 140 total credit hours. HONORS: Honors in Mathematics will be awarded to a student who earns a grade point average of 3.5 or higher in all upper division work. For high honors or highest honors, a student must fulfill an overall 3.5 upper-division grade-point average and, in addition, complete a research project under the super- vision of a faculty member in the department. See the undergraduate coordinator for further details. THE MINOR: To qualify for a minor in mathe- matics a student must complete 27 hours of mathe- matics with a grade of C or better, with at least 12 of these hours from the University of Florida. The 27 hours will consist of the following: Courses Cr MAC 3311-2-3 or MAC 3472-3-4 MAP 3302 MAS 3114 or MAS 4105 (Choose one only) Choice of three courses: MAD 3104 (or COT 3001) MAS 3203 Any course, 4000 level or greater, with the pre- fixes MAA, MAD, MAP, MAS, MHF, or MTG 2 ditss 12 3 9 i7-28 OVERSEAS STUDY: Students interested in study abroad should consult with a department advis- er or the Overseas Studies Office in 123 Tigert. GENERAL EDUCATION: Students should refer to the lower division portion of this catalog (informa- tion for freshmen and sophomores) to learn what mathematics courses) are required for their intended major. If calculus is not required, MGF 1202 is appro- priate as a General Education mathematics course. (Of course, higher level courses may be taken if the stu- dent so desires). Those who must take calculus and whose high school mathematics background is weak should begin with MAC 1142 and follow it by MAC 3233 or MAC 3311, whichever is required.Students with very strong mathematics backgrounds should consult a mathe- matics adviser about taking MAC 3472 or placing ahead in the MAC 3311-2-3 sequence. PLACEMENT TEST: All students enrolling in MAC 3233, MAC 3311, or MAC 3472 must take a placement test prior to registration. Students may take the placement test only once for any given semester. The test will be given during early registration, during regular registration, and on the second day of classes in late afternoon or evening. Admission to MAC 3233, MAC 3311, or MAC 3472 is contingent on achieving a certain minimum score on this test. The test covers precalculus topics such as algebra and trigonometry. Students who do not achieve the minimum score may repeat the placement test without prejudice the next semester. A passing score is good for summer, fall, and spring 1993-94. All previous placement test scores are deleted on March 1, 1993 and may not be used after that date. Students who are dropped from the above cours- es after early or regular registration for lack of a cur- rent and passing placement test score, and who pass the test on the second day of classes, must then add the course during drop/add. Mathematics Analysis MAA 4102 Introduction to Advanced Calculus for Engineers and Physical Scientists 1. F, S. Credits: 3; Prereq: MAC 3313 and one of MAS 4105, MAS 3113, or MAS 3114. Review of limits, differentiation, and integration; cal- culus of vector functions; line and surface integration; calculus of variations; Fourier series. Material present- ed with view to applications. MAA 4103 Introduction to Advanced Calculus for Engineers and Physical Scientists 2. S, SS. Credits: 3; Prereq: MAA 4102. A continuation of MAA 4102. MAA 4211 Advanced Calculus 1. F. Credits: 3; Prereq: MAC 3313 and one of MAS 4105, MAS 3113, or MAS 3114. An advanced treatment of limits, differentiation, inte- gration, series; calculus of functions of several vari- ables. MAA 4212 Advanced Calculus 2. S. Credits: 3; Prereq: MAA 4211. A continuation of MAA 4211. MAA 4226 Introduction to Modern Analysis 1. F. Credits: 3; Prereq: MAC 3313 and one of MAS 4105, MAS 3113, or MAS 3114. Topology of metric spaces, numerical sequences and series, continuity, differentiation, the Riemann- Stielties integral, sequences and series of functions, the Stone-Weierstrass, theorem, functions of several variable, Stokes' theorem, the Lebesgue theory. MAA 4227 Introduction to Moder Analysis 2. S. Credits: 3; Prereq: MAA 4226. A continuation of MAA 4226. MAA 4402 Elements of Complex Variables for Engineers and Physical Scientists. F, S, SS. Credits: 3; Prereq: MAC 3313 and MAP 3302. Complex numbers, analytic functions, Cauchy- Riemann equations, harmonic functions, elementary functions, integration, Cauchy-Goursat theorem, Cauchy integral formula, infinite series, residues and poles, conformal mapping. Mathematics: Calculus and Precalculus. Mathematics: Calculus and Precalculus NOTE: Students who satisfactorily complete (C or bet- ter) MAC 1140 or MAC 1114 may not receive credit for MAC 1142. Conversely, students who satisfactorily complete (C or better) MAC 1142 may not receive credit for either MAC 1140 or MAC 1114. MAC 1140 College Algebra. F, SS. Credits: 2 College algebra, functions, coordinate geometry, exponential and logarithmic functions. This course covers the same algebra content as MAC 1142. (M) MAC 1114 Trigonometry. F, S. Credits: 2 Exponential and logarithmic functions, trigonometry, analytic and additional applications of trigonometry. This course covers the same trigonometry content as MAC 1142. (M) MAC 1142 Precalculus: Algebra & Trigonometry. F, S, SS. Credits: 4 College algebra, functions, coordinate geometry, exponential and logarithmic functions, and trigonom- etry. This fast-paced course is designed as a review of algebra and trigonometry to prepare the student for calculus. This course assumes prior knowledge of intermediate algebra (Algebra II). (M) MAC 3233 Survey of Calculus 1. F, S, SS. Credits: 3; Prereq: Passing score on placement test. A geometric and heuristic approach to calculus; differ- entiation and integration of simple algebraic and exponential functions, applications to graphing, marginal analysis, optimization, areas and volumes. (M) MAC 3234 Survey of Calculus 2. F, S, SS. Credits: 3; Prereq: MAC 3233 or equivalent. Sequences, geometric and Taylor series; systems of linear equations, Gaussian elimination, matrices, determinants and vectors; partial differentiation, mul- tiple integrals; applications to marginal analysis, least- squares and Lagrange multipliers. (M) MAC 3311 Analytic Geometry & Calculus 1. F, S, SS. Credits: 4; Prereq: Passing score on placement test. Introduction to analytic geometry; limits; continuity; differentiation of algebraic and trigonometric func- tions, differentials; introduction to integration and the fundamental theorem of calculus. (M) MAC 3312 Analytic Geometry & Calculus 2. F, S, SS. Credits: 4; Prereq: MAC 3311. Techniques of integration; applications of integration; differentiation and integration of inverse trigonomet- ric, exponential and logarithmic functions; sequences and series. (M) MAC 3313 Analytic Geometry & Calculus 3. F, S, SS. Credits: 4; Prereq: MAC 3312. Solid analytic geometry; vectors; partial derivatives; multiple integrals. (M) MAC 3472 Honors Calculus 1. F. Credits: 4; Prereq: Passing score on placement test. A first course in calculus for students who particularly enjoy and have a sound background in mathematics. The topics covered in the sequences MAC 3472-3-4 closely parallel those covered in MAC 3311-2-3 but are treated in greater depth. (M) ft Grading is on S-U basis only.