2003-2004 Undergraduate Catalog

Professor David R. Finston, department head

Professors Alvarez, Baggett, Berver, Gehrke, Kurtz, Morandi, H. Nguyen, Pengelley, Staffeldt; Associate Professors Barany, Cohen, Engebos, Geiger, Harding, Krupa, Lakey, Lampert, Lodder, Salamanca-Riba, Sallach, Swanson, Sweezy, Wang; Assistant Professors Bezhanishvili, Fulte, Funke, Gasparim, Giorgi, N. Nguyen, Sikora, Smits, Stanford; Instructor Hill, Mostafa, Schibel, Zimmerman

(505) 646-3901

DEGREE: Bachelor of Science
MAJOR: Mathematics

Mathematics is of fundamental importance in all phases of society and is also a rewarding profession with a wide variety of opportunities for employment. This department offers programs leading to a major or minor in mathematics. Note that courses in this department are listed as "Mathematics" (MATH) or as "Statistics" (STAT).

Departmental Requirements for the Major

(a) MATH 191, 192, 291, 279, 280, 331, and 332 (or equivalent courses).

(b) At least 18 additional upper-division credits of approved courses prefixed MATH or STAT, excluding MATH 300, 312, 313, 400, 459, and STAT 400. Any special topics course MATH or STAT 301 and MATH or STAT 401 must be approved by the department for credit towards the major. At least 12 of the MATH and STAT credits must be numbered higher than 400.

Nondepartmental Requirement for the Major (A grade of C or better must be earned.)

(a) C S 171 and C S 272.

(b) Electives sufficient to meet college and university requirements for general education, total credits, and total upper-division credits.

Suggested Program of Study for Mathematics Majors

First Year (31-36 credits)

MATH 191-192, Calculus/Analytic Geometry I, II 6

MATH 279, Introduction to Finite Mathematics 3

C S 171, Algorithmic Computation 4

ENGL 111G, Rhetoric and Composition 4

Foreign Language 111-112 8

General Education Courses 6-11

Second Year (31-37 credits)

MATH 280, Introduction to Linear Algebra 3

MATH 291, Calculus/Analytic Geometry III 3

MATH 331, Introduction to Modern Algebra 3

C S 272, Introduction to Data Structures 4

ENGL 218G, Technical and Scientific Communication 3

Foreign Language 211-212 6 General Education Courses 6-9

Electives in Mathematics, Statistics, or Related Area(s) 3-6

Third and Fourth Years

The mathematics major should work out with an adviser a program for the third and fourth years that includes:

1. Completion of the College of Arts and Sciences and university general education requirements and upper-division requirements.
2. Seven to nine additional upper-division courses in mathematics and statistics, including MATH 332 and at least four other courses at the 400 level.
3. Elective courses in the student's area(s) of interest.

NOTES: Some students may be able to bypass one or more courses in the calculus sequence 191-192-291. The calculus sequence, finite mathematics, and linear algebra provide knowledge that is basic to further work, and students are advised to complete them or their equivalent as early as possible.

It is strongly recommended that mathematics majors consider a minor or second major in an area that uses mathematics, such as physics or computer science. All programs should be planned with the guidance of a departmental adviser. A short brochure containing further suggestions is available from the Department of Mathematical Sciences.

Students planning to do graduate work in mathematics should take French or German to meet the requirement of a second language and should take as many as possible of the courses MATH 481, 482, 491, 492.

SUPPLEMENTARY MAJOR: Applied Mathematics

The program consists of 24 credits in the designated list of courses. To earn a supplementary major in applied mathematics a student must earn 15 credits from Categories I.A and I.B of which at least 9 credits must be from Category I.B. A student must also earn 9 credits from the Category II list of related disciplines. Because the courses in Category II require some background in the given discipline, ordinarily the 9 credits from Category II will be taken in a single area. For nonmathematics majors the area may be the student's major field of study.

Category I.A.­ choose at most 6 credits 6

MATH 377, Introduction to Numerical Methods; MATH 391, Vector Analysis; MATH 392, Ordinary Differential Equations; STAT 371, Statistics for Engineers and Scientists I

Category I.B. ­ choose at least 9 credits 9

MATH 331, Introduction to Modern Algebra; MATH 332, Introduction to Analysis; MATH 430, Combinatorial Mathematics; MATH 431, Algebraic Coding Theory; MATH 451, Introduction to Differential Geometry; MATH 453, Introduction to Topology; MATH 454, Mathematical Logic; MATH 471, Complex Variables; MATH 472, Fourier Series and Boundary Value Problems; MATH 473, Calculus of Variations and Optimal Control; MATH 480, Vector Spaces and Matrix Algebra; STAT 470, Probability-Theory and Application; STAT 480, Statistics-Theory and Applications

Category II ­ related disciplines in a single area ­ choose 9 credits 9

C E 315, Structural Analysis I; C E 331, Hydraulic Engineering; C E 356, Fundamentals of Environmental Engineering; C E 382, Hydraulic Systems Design

CH E 305, Transport Operations I-Fluid Flow; CH E 441, Chemical Kinetics and Reactor Engineering; CH E 412, Process Dynamics and Control

C S 372, Data Structures and Algorithms; C S 420, Analysis of Algorithms; C S 476, Computer Graphics I; C S 490, Parallel Computing

ECON 405, Economic Statistics; ECON 457, Mathematical Economics; ECON 493, Input-Output Analysis; ECON 498, Independent Study (with approval)

E E 395, Introduction to Digital Signal Processing; E E 470, Optics II;
E E 475, Control Systems II; E E 491, Antennas and Radiation; E E 496, Introduction to Communication Systems I; E E 497, Introduction to Communications Systems II

I E 365, Quality Control; I E 413, Engineering Operations Research I; I E 423, Engineering Operations Research II; I E 460, Evaluation of Engineering Data

M E 332, Vibrations; M E 338, Fluid Mechanics; M E 341, Heat Transfer; M E 452, Introduction to Automation and Control System Design; M E 463, Low Speed Aerodynamics; M E 473, Compressible Flow

PHYS 451, Intermediate Mechanics I; PHYS 454, Intermediate Modern Physics I; PHYS 456, Intermediate Quantum Mechanics; PHYS 461, Intermediate Electricity and Magnetism I; PHYS 470, Optics II; PHYS 476, Computational Physics

SUR 351, Introductory Survey, Measurements, Analysis and Adjustments; SUR 451, Advanced Survey Measurements, Analysis and Adjustments; SUR 462, Advanced Geodesy

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