Table of Contents

About the Catalog

Undergraduate Admissions

Choose Your Major

Course Descriptions

Class Schedules

Volume XCII – July 2008

Previous Editions

email: ugcatalog@uta.edu

The Department of Mathematics

Academic Advising: 478 Pickard Hall • 817-272-3261

The Department of Mathematics offers programs leading to the Bachelor of Science Degree in Mathematics and the Bachelor of Arts Degree in Mathematics. The Bachelor of Science degree may also be acquired with the explicit addition of one of these options: industrial and applied mathematics, computer science, statistics, or management science/operations research.

The Bachelor of Science (no option) is primarily intended for students wishing to pursue graduate work in mathematics. The industrial and applied mathematics option is aimed at students seeking careers as mathematicians in the emerging high-tech industries. The computer science option is intended for those students who wish to seek employment relating to mathematical computing. The statistics and management science/operations research options are intended for students with an interest in a career involving various applications of mathematics to the world of business. The Bachelor of Arts is intended for those students desiring to teach mathematics at the elementary and secondary school level and for those seeking a traditional liberal arts education with an emphasis on mathematics.

All students seeking a bachelor's degree in mathematics must take at least two mathematics sequences. A sequence is defined as a 3300-level course followed by a 4300-level course in the same general area of mathematics. The approved sequences are as follows: MATH 3321-4321 (Abstract Algebra), MATH 3335 and 4335 or 4334 (Analysis), MATH 3345-4345 (Numerical Analysis), MATH 3313-4313 (Probability and Statistics), MATH 3313-4411 (Probability and Random Processes), MATH 3314-4314 (Discrete Mathematics), MATH 3318-4324 (Differential Equations), and MATH 3318-4318 (Mathematical Methods for Sciences). For the computer science option, the second sequence must be MATH 3345-4345. For the statistics option, the second sequence must be MATH 3313-4411 or MATH 3313-4411.

It is strongly recommended that mathematics majors take MATH 3330 (Intro to Matrices and Linear Algebra) and MATH 3300 (Intro to Proofs) as early as possible, since these courses are prerequisites for many other 3000/4000-level courses. It is suggested to take MATH 3330 simultaneously with Calculus III. Mathematics majors must take MATH 3300 before attempting the required courses MATH 3321 and MATH 3335. It is strongly recommended that mathematics majors with little or no computer programming experience satisfy the computer programming requirements as early as possible with MATH 1319, CSE 1311, or 1320.

Students interested in earning a Bachelor of Arts degree with a major in mathematics with secondary teacher certification should refer to the College of Education section of this catalog for teacher certification requirements. Students should also see an advisor in the College of Education.

Six hours of composition.

Three hours of English or modern and classical languages literature or other approved substitute.

Three hours above the freshman level of literature, or social and cultural studies designated as taught in the College of Liberal Arts, or fine arts or philosophy, or technical writing.

Six hours from 1311, 1312, and 3364.

2311, 2312.

Three hours of designated courses in social or cultural anthropology, archaeology, social/political/cultural geography, psychology, economics, sociology, classical studies, or linguistics.

Three hours from architecture, art, DNCE 1300, music, or theatre arts.

Eight hours (Levels I and II or higher) in one language.

PHYS 1443, 1444, and three hours from 2311, 3313, 3445. Eight hours in one other science; the choices are: CHEM 1441 and 1442, or BIOL 1441 and 1442, or GEOL 1425 and 1426. Each course may be replaced by another course in the same field that requires the original course as a prerequisite.

Three hours from MATH 1319, CSE 1311, 1320, 1325.

Three hours from MATH 1319, CSE 1301, GEOL 1391, INSY 2303, or equivalent course approved by Undergraduate Advisor or competency test.

This is satisfied by the required course, MATH 3300.

MATH 1426, 2425, 2326, 3300, 3314, 3318, 3330, 3321, 3335.

One course from 4321, 4335, 4334. Twelve additional advanced
hours (3301 or above, except for capstone mathematics courses
specifically for prospective middle grades or secondary grades
mathematics teachers), including a second sequence (see paragraph
three in the opening section). Capstone mathematics courses
specifically for prospective middle grade mathematics teachers do
not count toward a degree in mathematics. Capstone mathematics
courses for secondary mathematics teachers will count only for
those working on the BA in Mathematics with Teaching
Certification.

The student should consult the appropriate section in this catalog for the exact requirements for a minor in a given department or contact that department's undergraduate advisor.

Sufficient number of hours to complete the total hours required for a degree.

A minimum of 120 hours, of which at least 39 must be 3000/4000 level.

**First Semester:** MATH 1426; INSY 2303; ENGL 1301;
HIST 1311; Liberal Arts Elective, 3 hours - Total Credit 16
hours.

**Second Semester:** MATH 2425; MATH 3314; PHYS
1443; ENGL 1302; HIST 1312 - Total Credit 17 hours.

**First Semester:** MATH 2326; MATH 3330; PHYS 1444;
English Literature, 3 hours; Social and Cultural Studies, 3 hours
- Total Credit 16 hours.

**Second Semester:** MATH 3318; MATH 3300; Physics,
3 hours; Natural Science, 4 hours; Fine Arts, 3 hours - Total
Credit 16 hours.

**First Semester:** MATH 3321 or MATH 3335; Minor, 3
hours; Natural Science, 4 hours; POLS 2311 - Total Credit 13
hours.

**Second Semester:** MATH 4321 or MATH 4335;
Mathematics, 6 hours; Minor, 3 hours; POLS 2312 - Total Credit 14
hours.

**First Semester:** MATH 3335 or MATH 3321;
Mathematics, 3 hours; Minor, 6 hours; Modern Language I, 4 hours
- Total Credit 16 hours.

**Second Semester:** Mathematics, 6 hours; Minor, 6
hours; Modern Language II, 4 hours - Total Credit 16 hours.

Six hours of composition.

Three hours of English or modern and classical languages literature or other approved substitute.

Three hours above the freshman level of literature, or social and cultural studies designated as taught in the College of Liberal Arts, or fine arts or philosophy, or technical writing.

Six hours from 1311, 1312, and 3364.

2311, 2312.

Three hours of designated courses in social or cultural anthropology, psychology, archaeology, social/political/cultural geography, psychology, economics, sociology, classical studies, or linguistics.

Three hours from architecture, art, DNCE 1300, music, or theatre arts.

14 hours (Level I, II, III, and IV) in one language, or Level I and II and 6 hours cultural studies. (See information in College of Science section).

A total of 14 hours is required. Eight hours including laboratory in one science; the choices are: PHYS 1443 and 1444; or CHEM 1441 and 1442; or BIOL 1441 and 1442; or GEOL 1425 and 1426. Each course may be replaced by another course in the same field that requires the original course as a prerequisite.

Six additional hours of science from the above science courses or from science courses that have above science courses as prerequisites.

Three hours from MATH 1319, CSE 1301, GEOL 1391, INSY 2303, or equivalent course approved by Undergraduate Advisor, or competency test.

MATH 3300.

Three hours from MATH 1319, CSE 1311, 1320, 1325.

MATH 1426, 2425, 2326, 3300, 3314, 3330, 3321, 3335.

One course from 4321, 4335, 4334.

Nine additional advanced hours (3301 or above, except for
capstone mathematics courses specifically for prospective middle
or secondary grades mathematics teachers), including a second
sequence (see paragraph three in the opening section). Capstone
mathematics courses specifically for prospective middle grade
mathematics teachers do not count toward a degree in mathematics.
Capstone mathematics courses for secondary mathematics teachers
will count only for those working on the BA in Mathematics with
Teaching Certification.

The student should consult the appropriate section in this catalog for the exact requirements for a minor in a given department or contact that department's undergraduate advisor.

Sufficient number of hours to complete the total hours required for a degree.

A minimum of 120 hours, of which at least 39 must be 3000/4000 level.

**First Semester:** MATH 1426; ENGL 1301; HIST 1311;
INSY 2303; Modern Language I, 4 hours - Total Credit 17 hours.

**Second Semester:** MATH 2425; ENGL 1302; Natural
Science, 4 hours; Modern Language II, 4 hours - Total Credit 15
hours.

**First Semester:** MATH 2326; MATH 3314; English
Literature, 3 hours; Natural Science, 4 hours; Modern Language
III, 3 hours - Total Credit 16 hours.

**Second Semester:** MATH 3300; MATH 3330; Liberal
Arts Elective, 3 hours; Natural Science, 4 hours; Modern Language
IV, 3 hours - Total Credit 16 hours.

**First Semester:** MATH 3321; Mathematics, 3 hours;
Minor 3 hours; Natural Science, 4 hours; Social and Cultural
Studies, 3 hours - Total Credit 16 hours.

**Second Semester:** MATH 4321; Mathematics, 3
hours; Minor, 3 hours; Fine Arts, 3 hours; Elective, 3 hours -
Total Credit 15 hours.

**First Semester:** MATH 3335; Mathematics, 3 hours;
Minor, 6 hours; POLS 2311; Elective, 3 hours - Total Credit 18
hours.

**Second Semester:** Mathematics, 3 hours; Minor, 6
hours; MATH 4180; HIST 1312; POLS 2312 - Total Credit 15 hours.

Six hours of composition.

Three hours of English or modern and classical languages literature or other approved substitute.

Three hours above the freshman level of literature, or social and cultural studies designated as taught in the College of Liberal Arts, or fine arts or philosophy, or technical writing.

Six hours from 1311, 1312, and 3364.

2311, 2312.

Three hours of designated courses in social or cultural anthropology, psychology, archaeology, social/political/cultural geography, psychology, economics, sociology, classical studies, or linguistics.

Three hours from architecture, art, DNCE 1300, music, or theatre arts.

Eight hours (Levels I and II or higher) in one language.

A total of 14 hours is required. Eight hours including laboratory in one science; the choices are: PHYS 1443 and 1444; or CHEM 1441 and 1442; or BIOL 1441 and 1442; or GEOL 1425 and 1426. Each course may be replaced by another course in the same field that requires the original course as a prerequisite.

Six additional hours of science from the above science courses or from science courses that have above science courses as prerequisites.

Three hours from MATH 1319, CSE 1301, GEOL 1391, INSY 2303, or equivalent course approved by Undergraduate Advisor, or competency test.

MATH 3300.

MATH 1426, 2425, 2326, 3300, 3313, 3314, 3318, 3330, 3345, 3321,
3335, 4345.

One course from 4321, 4335, 4334.

Capstone mathematics courses specifically for prospective middle grade mathematics teachers do not count toward a degree in mathematics. Capstone mathematics courses for secondary mathematics teachers will count only for those working on the BA in Mathematics with Teaching Certification.

CSE 1306 or MATH 1319 and CSE 1311, 1320, 1325, 2320. Six other advanced (3000/4000) hours in computer science.

Six additional advanced hours in mathematics (3301 or above, except for capstone mathematics courses specifically for prospective middle or secondary grades mathematics teachers) or computer science.

Sufficient to give the total number of hours required for a degree.

A minimum of 120 hours, of which at least 39 must be 3000/4000 level.

**First Semester:** MATH 1426; INSY 2303; ENGL 1301;
HIST 1311; Liberal Arts Elective, 3 hours - Total Credit 16
hours.

**Second Semester:** MATH 2425; MATH 3314; CSE 1310;
ENGL 1302; HIST 1312 - Total Credit 16 hours.

**First Semester:** MATH 2326; MATH 3330; CSE 1320;
English Literature, 3 hours; Social and Cultural Studies, 3 hours
- Total Credit 15 hours.

**Second Semester:** MATH 3318; Elective, 3 hours;
CSE 1325; MATH 3300; Fine Arts, 3 hours - Total Credit 15 hours.

**First Semester:** MATH 3345; MATH 3325; CSE 2320;
Natural Science, 4 hours; POLS 2311 - Total Credit 16 hours.

**Second Semester:** MATH 4345; MATH 4335; CSE, 3
hours; Natural Science, 4 hours; POLS 2312 - Total Credit 16
hours.

**First Semester:** MATH 3321; CSE, 3 hours; Natural
Science, 4 hours; Modern Language I, 4 hours - Total Credit 14
hours.

**Second Semester:** MATH 3313; Mathematics or CSE,
6 hours; Natural Science, 4 hours; Modern Language II, 4 hours -
Total Credit 17 hours.

Six hours of composition.

Three hours of English or modern and classical languages literature or other approved substitute.

Six hours from 1311, 1312, and 3364.

2311, 2312.

Three hours of designated courses in social or cultural anthropology, psychology, archaeology, social/political/cultural geography, psychology, economics, sociology, classical studies, or linguistics.

Three hours in architecture, art, DNCE 1300, music, or theatre arts.

Eight hours (Levels I and II or higher) in one language.

A total of 14 hours is required. Eight hours including laboratory in one science; the choices are: PHYS 1443 and 1444; or CHEM 1441 and 1442; or BIOL 1441 and 1442; or GEOL 1425 and 1426. Each course may be replaced by another course in the same field that requires the original course as a prerequisite.

Six additional hours of science from the above science courses or from science courses that have above science courses as prerequisites.

Three hours from MATH 1319, CSE 1301, GEOL 1391, INSY 2303, or equivalent course approved by Undergraduate Advisor, or competency test.

MATH 3300.

Three hours from MATH 1319, CSE 1311, 1320, 1325.

MATH 1426, 2425, 2326, 3300, 3302, 3303, 3313, 3314, 3316, 3330,
3345, 3321, 3335, 4411.

One course from 4321, 4335, 4334.

Three additional advanced hours (3301 or above, except for
capstone mathematics courses specifically for prospective middle
or secondary grades mathematics teachers) in mathematics.
Capstone mathematics courses specifically for prospective middle
grade mathematics teachers do not count toward a degree in
mathematics. Capstone mathematics courses for secondary
mathematics teachers will count only for those working on the BA
in Mathematics with Teaching Certification.

CSE 1306 or MATH 1319, INSY 3322, IE 4308, and either IE 3315 or MATH 3304.

Sufficient to give the total number of hours required for a degree.

A minimum of 120 hours, of which at least 39 must be 3000/4000 level.

**First Semester:** MATH 1426; MATH 1319; ENGL 1301;
HIST 1311; Liberal Arts Elective, 3 hours - Total Credit 16
hours.

**Second Semester:** MATH 2425; MATH 3314; Natural
Science, 4 hours; ENGL 1302; HIST 1312 - Total Credit 17 hours.

**First Semester:** MATH 2326; MATH 3330; English
Literature, 3 hours; Social and Cultural Studies, 3 hours;
Natural Science, 4 hours - Total Credit 16 hours.

**Second Semester:** MATH 3313; MATH 3316; Natural
Science, 4 hours; MATH 3300; Fine Arts, 3 hours - Total Credit 16
hours.

**First Semester:** MATH 3335; MATH 3302; Natural
Science, 4 hours; POLS 2311 - Total Credit 13 hours.

**Second Semester:** MATH 4335; MATH 4313; MATH
3303; Elective, 3 hours; POLS 2312 - Total Credit 15 hours.

**First Semester:** MATH 3345; Mathematics, 3 hours;
STAT 3322; Modern Language I, 4 hours; Elective, 3 hours - Total
Credit 16 hours.

**Second Semester:** MATH 3321; MATH 3304 or IE
3315; IE 4308; Modern Language II, 4 hours - Total Credit 13
hours.

Six hours of composition.

Three hours of English or modern and classical languages literature or other approved substitute.

Six hours from 1311, 1312, and 3364.

2311, 2312.

Three hours from architecture, art, DNCE 1300, music, or theatre arts.

Eight hours (Levels I and II or higher) in one language.

CSE 1311 or MATH 1319.

MATH 3300.

MATH 1426, 2425, 2326, 3300, 3303, 3304, 3313, 3314, 3330, 3321,
3335.

One course from 4321, 4335, 4334.

Nine additional advanced hours (3301 or above, except for
capstone mathematics courses specifically for prospective middle
or secondary grades mathematics teachers), including a second
sequence (see paragraph three in the opening section). Capstone
mathematics courses specifically for prospective middle grade
mathematics teachers do not count toward a degree in mathematics.
Capstone mathematics courses for secondary mathematics teachers
will count only for those working on the BA in Mathematics with
Teaching Certification.

OPMA 3306, OPMA 3308, and three additional hours in Operations Management, ECON 2305, 2306, and ACCT 2301,2302. Six additional hours of 3000/4000-level courses in the College of Business Administration (except STAT 3321).

Sufficient hours to complete the total hours required for a degree.

A minimum of 120 hours, of which at least 39 must be 3000/4000 level.

**First Semester:** MATH 1426; MATH 1319; ENGL 1301;
HIST 1311; Liberal Arts Elective, 3 hours - Total Credit 16
hours.

**Second Semester:** MATH 2425; MATH 3314; Natural
Science, 4 hours; ENGL 1302; HIST 1312 - Total Credit 17 hours.

**First Semester:** MATH 2326; MATH 3330; English
Literature, 3 hours; ECON 2305; Natural Science, 4 hours - Total
Credit 16 hours.

**Second Semester:** MATH 3313; MATH 3304; Natural
Science, 4 hours; MATH 3300; ECON 2306 - Total Credit 16 hours.

**First Semester:** MATH 3335; MATH 3303; ACCT 2301;
Natural Science, 3 hours; POLS 2311 - Total Credit 15 hours.

**Second Semester:** MATH 4335; OPMA 3306; ACCT
2302; Fine Arts, 3 hours; POLS 2312; MATH 4180 - Total Credit 16
hours.

**First Semester:** MATH 3321; Mathematics, 3 hours;
OPMA 3308; Advanced Bus., 3 hours; Modern Language I, 4 hours -
Total Credit 16 hours.

**Second Semester:** Mathematics, 6 hours; OPMA, 3
hours; Advanced Bus., 3 hours; Modern Language II, 4 hours -
Total Credit 16 hours.

This degree option is for students seeking immediate employment after graduation. Additional course work may be required for admission to graduate school.

Six hours of composition.

Three hours of English or modern and classical languages literature or other approved substitute.

Three hours above the freshman level of literature or social or cultural studies.

Six hours from 1311, 1312 and 3364.

2311, 2312.

Three hours from architecture, art, DNCE 1300, music, or theatre arts.

Eight hours (Levels I and II or higher) in one language.

PHYS 1443, 1444 and three hours from 2311, 3313, 3445, 2321. Eight hours in one other science; the choices are: CHEM 1441 and 1442, or BIOL 1441 and 1442, or GEOL 1425 and 1426. Each course may be replaced by another course in the same field that requires the original course as a prerequisite.

CSE 1311 or MATH 1319.

MATH 3300.

MATH 1426, 2425, 2326

MATH 3300, 3330 and one of 3318, 3319

MATH 3345, 4345

MATH 3314, 4314

MATH 3335

Capstone mathematics courses specifically for prospective middle grade mathematics teachers do not count toward a degree in mathematics. Capstone mathematics courses for secondary mathematics teachers will count only for those working on the BA in Mathematics with Teaching Certification.

MATH 3313 and MATH 4411

MATH 3316 and MATH 3302

MATH 3315

MATH 3304 and MATH 4304; or IE 3315 and IE 4315

Sufficient to bring total hours to 120 of which at least 39 must be 3000/4000 level.

Six hours of composition.

Three hours of English or modern and classical languages literature or other approved substitute.

Three hours above the freshman level of literature or social or cultural studies designated as taught in the College of Liberal Arts, or fine arts, or philosophy, or technical writing.

Six hours from 1311, 1312 and 3364.

2311, 2312.

Three hours from architecture, art, DNCE 1300, music, or theatre arts.

14 hours (Levels I, II, III, and IV) in one language, or Level I and II and 6 hours cultural studies. (See information in College of Science section).

A total of 14 hours required. Eight hours including laboratory in
one science; the choices are: PHYS 1443 and 1444; CHEM 1441 and
1442; or BIOL 1441 and 1442; or GEOL 1425 and 1426. Each course
may be replaced by another course in the same field that requires
the original course as a prerequisite.

Six additional hours of science from the above science courses or
from science courses that have above science courses as
prerequisites.

MATH 3300.

Three hours from MATH 1319, CSE 1311, 1320, 1325.

MATH 1322, 1323, 1426, 2425, 2326, 3300, 3314, 3330, 3321,
3335.

One course from 4321, 4335, 4334.

Nine additional advanced hours (3302 or above), including a
second sequence (see paragraph three in the opening section).

Capstone mathematics courses specifically for prospective middle grade mathematics teachers do not count toward a degree in mathematics.

Education

All education courses required for certification must be completed. The student should consult with an advisor in the College of Education for a list of specific courses.

Sufficient number of hours to complete the total hours required for a degree.

A minimum of 120 hours, of which at least 39 must be 3000/4000 level.

A student may minor in mathematics by taking 18 hours of mathematics courses, with at least six hours of 3000/4000 level courses. The courses which may be counted toward a math minor are MATH 1426 and above, except for capstone mathematics courses specifically for prospective middle or secondary grades mathematics teachers.

A student who satisfies the requirements for any other baccalaureate degree qualifies for having mathematics named as a second major upon completion of nine mathematics courses at 3000/4000 level (except for capstone mathematics courses specifically for prospective middle or secondary grades mathematics teachers). The following courses are required: 3300, 3314, 3330, 3321, 3335, and one from 4321, 4335, 4334. Besides the sequence 3321-4321 or the sequence 3335 and (4335 or 4334), a second sequence must be part of the second major. The GPA requirements on the mathematics courses for a second major are identical to those listed below under the heading Graduation Requirements.

Students who wish to apply for major status in mathematics must first complete the University and College of Science requirements and the specific requirements of the Department of Mathematics listed below.

- Overall GPA of 2.25;
- Minimum GPA of 2.25 in at least nine hours of mathematics courses in residence at the level of MATH 1426 or above, excluding capstone mathematics courses specifically for prospective middle or secondary grades mathematics teachers;
- At least six hours from the science or computer science courses listed in the mathematics degree plans; and
- Twelve hours of courses of the University core curriculum in disciplines other than science and mathematics.

Students currently enrolled at the University may qualify to change their major to mathematics by meeting the requirements listed above.

Majors whose overall GPA or GPA in major courses falls below 2.25 will be required to change their major.

To re-enter as a mathematics major, the student must meet the requirements listed in the First-time Admissions Requirements section.

The following courses will not be counted for credit (as mathematics or electives) toward a bachelor's degree in mathematics: MATH 1301, 1302,1308, 1315, 1316, 1330, 1331, 1332, STAT 3321. Capstone mathematics courses specifically for prospective middle or secondary grades mathematics teachers can be counted for credit only by those pursuing a B.A. with Secondary Teaching Certification.

Professor Zhu

Aktosun, Chen-Charpentier, Dyer, Han, Liao, Li, C. Liu, Nestell, Su, Sun-Mitchell

Cordero, Epperson, Gornet, Hawkins, Heath, D. Jorgensen, Korzeniowski, Kojouharov, Kribs-Zaleta, Y. Liu, Shipman, Vancliff

Ambartsoumian, Grantcharov, T. Jorgensen, Pankavich, Shan

Baker, Campbell, Ellington, Hamilton, Krueger, McDonald

Corduneanu, Dragan, Greenspan, Moore

Students must take and pass the Math Placement Test prior to registering for MATH 1301, 1302, 1303, 1308, 1315, 1322, 1324, or 1325. Students must take and pass the Calculus Readiness Test prior to registering for MATH 1426. Some students may be exempted from these tests by virtue of their SAT Math or ACT Math scores. See http://www.uta.edu/uac/testing/placement for details.

The "A" code on the five-digit number in the class schedule means a passing score on the appropriate placement test must be in the computer system in order for the student to register for the course OR the stated course prerequisite(s) must be in the computer system. Students having the stated prerequisites should go to the Mathematics Department Office for appropriate clearance.

Placement Tests are given in the Mathematics Department, 478 Pickard Hall. The test is free and is graded when you finish the test. Testing hours are 8 a.m. to 3:30 p.m., Monday through Friday.

Prerequisite requirements should be checked in the course listings below or in the online catalog. Students wishing to enroll in MATH 1330, 1331 and 1332 must be education majors and have the appropriate prerequisites.