COLLEGE of ARTS and SCIENCES
MATHEMATICAL SCIENCES
Professor Patrick Morandi, department head
Professors Alvarez, Baggett, Barany, Finston, Gehrke, Harding, Kurtz, Lakey, Lampert, Lodder, Nguyen, Pengelley, Staffeldt; Associate Professors Bezhanishvilli, Cohen, Engebos, Gasparim, Giorgi, Krupa, Mariani, Olberding, Salamanca-Riba, Smits, Stanford, Sweezy, Wang, Zimmerman; Assistant Professors Ballyk, Beck, Hughes, Funke, Mostafa, Schibel, Sikora, Stuart, Voges
(575) 646-3901
DEGREE: Bachelor of Science
MAJOR: Mathematics
- Emphasis: General
- Emphasis: Actuarial Science and Insurance
- Emphasis: Applied Mathematics
SUPPLEMENTARY MAJOR: Applied Mathematics
MINOR: 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).
DEGREE: Bachelor of Science
MAJOR: Mathematics
In addition to meeting University and College requirements, students earning a B.S. in Mathematics must fulfill the core departmental requirements and choose from one of three emphasis: General, Applied Mathematics or Actuarial Science and Insurance. Students must earn a grade of C or better in all departmental and nondepartmental courses for any degree in the Department of Mathematical Sciences.
Core Departmental Requirements
| MATH 191, Calculus and Analytic Geometry I | 3 |
| MATH 192, Calculus and Analytic Geometry II | 3 |
| MATH 291, Calculus and Analytic Geometry III | 3 |
| MATH 279, Introduction to Finite Mathematics | 3 |
| MATH 280, Introduction to Linear Algebra | 3 |
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.
Students planning to enter a graduate program in Mathematics should select the General Emphasis. In any case, such students are strongly advised to take both MATH 331 and MATH 332, since these courses are required by most programs, and should take as many as possible of the courses MATH 481, 482, 491, 492. Students planning to do graduate work in Mathematics are encouraged to take French or German to meet the requirement of a second language.
Emphasis: General
Students seeking a foundation in pure mathematics and flexibility in the curriculum are encouraged to pursue the General Emphasis. Students choosing this emphasis should work closely with a faculty advisor to select courses appropriate to their interests.
Departmental Requirements
| MATH 331, Introduction to Modern Algebra | 3 |
| MATH 332, Introduction to Analysis | 3 |
Departmental Electives
At least 18 additional upper-division credits of approved courses prefixed MATH or STAT, excluding MATH 300, 308, 313, 314, 315, 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.)
| C S 171, Introduction to Computer Science | 3 |
| C S 272, Introduction to Data Structure | 3 |
Note
It is strongly recommended that mathematics majors in the General emphasis 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 advisor. A short brochure containing further suggestions is available from the Department of Mathematical Sciences, and information is available at www.math.nmsu.edu
Emphasis: Actuarial Science and Insurance
The emphasis in Actuarial Science and Insurance draws on courses from mathematics and business to prepare students for a mathematical career in insurance. The coursework in this emphasis focuses on the analysis of risk and its applications to insurance finance. Students fulfilling the requirements for the Actuarial Science and Insurance Emphasis earn a minor in insurance.
Departmental Requirements
| MATH 331, Introduction to Modern Algebra, or MATH 332, Introduction to Analysis | 3 |
| STAT 371, Statistics for Engineers and Scientists I | 3 |
| STAT 470, Probability: Theory and Application | 3 |
| STAT 480, Statistics: Theory and Applications | 3 |
Departmental Electives (9 credits)
The Actuarial Science Emphasis requires also at least a 9 additional upper-division credit hours of approved courses prefixed MATH or STAT, excluding MATH 300, 308, 313, 314, 315, 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 6 of the MATH and STAT credit hours must be numbered higher than 400.
Nondepartmental Requirements
| ACCT 251, Managerial Accounting | 3 |
| ACCT 252, Financial Accounting | 3 |
| ECON 251G, Principles of Macroeconomics | 3 |
| ECON 252G, Principles of Microeconomics | 3 |
| E E 161, Computer Aided Problem Solving | 3 |
| E T 360G, Technology in Business and Society | 3 |
| FIN 322, Principles of Insurance | 3 |
| FIN 326, Business Risk Management | 3 |
| FIN 341, Financial Analysis and Markets | 3 |
Insurance Electives (Pick 2 of 4)
| FIN 303G, Personal Financial Planning and Investment in a Global Economy | 3 |
| FIN 323, Life and Health Insurance | 3 |
| FIN 324, Property and Liability Insurance | 3 |
| FIN 391, Finance Internship and Cooperative Education I | 3 |
Emphasis: Applied Mathematics
The Applied Mathematics emphasis is intended to prepare students planning a mathematically oriented career upon graduation. The coursework in this emphasis provides a foundation in mathematics important in many scientific and engineering applications.
Departmental Requirements
| STAT 371, Statistics for Engineers and Scientists I | 3 |
| MATH 377, Introduction to Numerical Methods | 3 |
| MATH 392, Introduction to Ordinary Differential Equations | 3 |
| STAT 470, Probability: Theory and Application | 3 |
| MATH 471, Complex Variables | 3 |
| MATH 472, Fourier Series and Boundary Value Problems | 3 |
Departmental Electives
The Applied Mathematics emphasis requires at least 6 additional upper-division credit hours of approved courses prefixed MATH or STAT, excluding MATH 300, 308, 313, 314, 315, 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 3 of the MATH and STAT credit hours must be numbered higher than 400.
Nondepartmental Requirements
Majors choosing an Applied Mathematics emphasis must select a minimum of 12 credit hours of elective courses to form a coherent cluster in an applied area. Students may propose clusters subject to departmental approval. Examples of acceptable clusters are given below. More examples can be found at www.math.nmsu.edu. A cluster must contain either C S 171 or E E 161. A major or minor in any of the following fields (along with C S 171 or E E 161) will also fulfill the Cluster Electives requirement: Computer Science, Physics, Biology, Chemistry and Biochemistry, Chemical Engineering, Engineering Physics, Electrical and Computer Engineering, Industrial Engineering, Mechanical Engineering, Civil Engineering, Economics and Finance.
Examples of acceptable clusters;
Signals: E E 161, minimum of 9 hours chosen from E E 111, E E 211, E E 311, E E 395, E E 496 (students in this cluster may substitute E E 302 for STAT 371)
Structures: C S 171 or E E 161; minimum of 9 hours chosen from PHYS 215, C E 233, C E 301, C E 315, C E 365
Operations Research: E E 161; minimum of 9 hours chosen from I E 311, I E 365, I E 413, I E 423, I E 460
Algorithm Theory: C S 171, C S 272, C S 370, C S 372 (earns minor in Algorithm Theory with an approved upper division mathematics elective)
Bioinformatics: BIOL 211 and 211L, C S 486, and a minimum of 6 hours chosen from C S 171, C S 272, C S 370, C S 371, or C S 372 (fulfilling all these requirements and taking MATH 331 earns a minor in Bioinformatics)
Computer Systems: C S 171, minimum of 9 hours chosen from C S 271 or C S 272, C S 371, two of C S 370, C S 451, C S 461, C S 474, C S 475, C S 476, C S 482, C S 484, C S 485, or C S 490 (fulfilling all these requirements earns a minor in Software Development)
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. The courses in Category II may be taken from any combination of areas. A student may not earn a bachelor's degree in mathematics with an emphasis in applied mathematics and also a supplementary major in applied mathematics.
| 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, choose any 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 412, Process Dynamics and Control; CH E 441, Chemical Kinetics and Reactor Engineering | |
| C S 372, Data Structures and Algorithms; C S 476, Computer Graphics I; CS 486, Bioinformatics; CS 491, Parallel Programming; CS 492, Modeling and Simulation. For the next two courses, the student must be eligible to take 500-level courses: C S 510, Automata, Languages, Computability, and CS 570, Analysis of Algorithms | |
| ECON 405, Economic Statistics; ECON 457, Mathematical Economics; 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; EE 476, Computer Control Systems; 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; IE 415, Stochastic Processes Modeling; I E 423, Engineering Operations Research II; I E 460, Evaluation of Engineering Data; IE 466, Reliability | |
| M E 332, Vibrations; M E 333, Intermediate Dynamics; M E 338, Fluid Mechanics; M E 341, Heat Transfer; M E 463, Low Speed Aerodynamics; M E 473, Compressible Flow | |
| PHYS 451, Intermediate Mechanics I; PHYS 454, Intermediate Modern Physics I; PHYS 455, Intermediate Modern Physics II; PHYS 461, Intermediate Electricity and Magnetism I; PHYS 462, Intermediate Electricity and Magnetism II; 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 |
MINOR: Mathematics
A student must pass 18 or more credit hours in MATH and STAT courses, with at least 9 of the credits in upper division courses and 3 of those 9 credits in courses numbered above 400. The following courses are excluded from the minor: courses numbered below 125, MATH 200, MATH 300, MATH 308, MATH 313, MATH 314, MATH 315, MATH 400, MATH 459, and STAT 400. At most, one of STAT 251, STAT 271, or STAT 371 may be included in a minor. Any special topics courses, MATH or STAT 301 and MATH or STAT 401, must be approved by the department for credit toward the minor. Any course taught outside the Department of Mathematical Sciences but cross-listed with a MATH or STAT course, must also be approved by the department for credit toward the minor. A student may not earn a bachelor degree in mathematics or a supplementary major in applied mathematics and also earn a minor in mathematics.