The Department of Mathematics

478 Pickard Hall • Box 19408 • 817-272-3261 • www.uta.edu/math

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

Bachelor's Degrees in Mathematics

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: computer science, statistics, and management science/operations research.

The Bachelor of Science (no option) is primarily intended for students wishing to pursue graduate work in mathematics. 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 and 4345 (Numerical Analysis), MATH 3313-4313 (Probability and Statistics), MATH 3313-4311 (Probability and Random Processes), MATH 3314-4314 (Discrete Mathematics), MATH 3318-4320 or MATH 3318-4324 (Differential Equations), MATH 3318-4318 (Mathematical Methods for Sciences), and MATH 3301-4342 (Contemporary Geometry). All mathematics majors must take one of the sequences MATH 3321-4321 or MATH 3335 and (4335 or 4334). For the computer science option, the second sequence must be MATH 3345-4345. For the statistics option, the second sequence must be MATH 3313-4313.

It is strongly recommended that mathematics majors take MATH 3330 (Intro to Matrices and Linear Algebra) as early as possible, since this course is a prerequisite for many other 3000/4000-level courses. It is suggested to take MATH 3330 simultaneously with Calculus III. Mathematics majors may want to consider taking MATH 3300 (Intro to Proofs) before attempting the required courses MATH 3321 and MATH 3335. It is also 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 1306, 1310, or 1320.

Teacher Certification

Students interested in earning a Bachelor of Arts or Bachelor of Science degree with a major in mathematics with secondary or elementary teacher certification or in mathematics as a second teaching field should refer to the School of Education section of this catalog for teacher certification requirements.

Requirements for a Bachelor of Science Degree in Mathematics

English

Six hours of composition.

Literature

Three hours of English or foreign language literature or other approved substitute.

Liberal Arts Elective

Three hours above the freshman level of literature (required option for teacher certification), or social and cultural studies designated as taught in the College of Liberal Arts, or fine arts or philosophy, or technical writing.

History

Six hours from 1311, 1312, and 3364.

Political Science

2311, 2312.

Social/Cultural Studies

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

Fine Arts and Philosophy

Three hours from architecture, art, dance, music, philosophy, or theatre arts.

Foreign Language

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

Natural Science

PHYS 1443, 1444, and three hours from 2311, 3313, 3445.
Eight hours in one other science; the choices are: CHEM 1301, 1302, and 1284, or BIOL 1441 and 1442, or GEOL 1445 and 1446. Each course may be replaced by another course in the same field that requires the original course as a prerequisite.

Computer Programming

Three hours from MATH 1319, CSE 1306, 1310, 1320, 1325, or MATH 3345

Computer Literacy

Three hours from MATH 1319, CSE 1301, GEOL 1491, BUSA 2303, or equivalent course approved by Undergraduate Advisor.

Oral Communication Competency

Three hours from SPCH 1301, SPCH 2305, SPCH 3302, SPCH 3315, or equivalent course approved by Undergraduate Advisor.

Major

MATH 1325, 1426, 2325, 2326, 3314, 3318, 3330, 3321, 3335.
One course from 4321, 4335, 4334.
15 additional advanced hours (3300 or above, except 3301 and 3319), including a second sequence (see paragraph three on this page).

Minor

Either a Departmental Minor or an Area Minor.

Departmental Minor: 18 hours in one department, including at least six hours of 3000/4000-level courses. The department must be in the College of Science or the College of Engineering.
Area Minor: 24 hours including at least nine hours of 3000/4000 level courses. The areas permitted are natural sciences (biology, chemistry, geology, physics), and engineering (all courses).

Electives

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

Total

A minimum of 120 hours, of which at least 39 must be 3000/4000 level, plus exercise and sport activities (EXSA) or ROTC or marching band as required.

Suggested Course Sequence

Freshman Year

First Semester: MATH 1325; MATH 1426; Computer Literacy, 3 hours; ENGL 1301; HIST 1311; EXSA or ROTC or Marching Band—Total Credit 17 hours.

Second Semester: MATH 2325; MATH 3314; PHYS 1443; ENGL 1302; HIST 1312; EXSA or ROTC—Total Credit 17 hours.

Sophomore Year

First Semester: MATH 2326; MATH 3330; PHYS 1444; English Literature, 3 hours; Social and Cultural Studies, 3 hours; EXSA or ROTC or Marching Band—Total Credit 17 hours.

Second Semester: MATH 3318; Mathematics, 3 hours; Physics, 3 hours; Liberal Arts Elective, 3 hours; Fine Arts/Philosophy, 3 hours; EXSA or ROTC—Total Credit 16 hours.

Junior Year

First Semester: MATH 3335; Minor, 3 hours; Natural Science, 3 hours; POLS 2311; Elective, 3 hours—Total Credit 15 hours.

Second Semester: MATH 4335; Mathematics, 3 hours; Minor, 3 hours; Natural Science, 3 hours; POLS 2312—Total Credit 15 hours.

Senior Year

First Semester: MATH 3321; Mathematics, 3 hours; Minor, 3 hours; Foreign Language I, 4 hours—Total Credit 13 hours.

Second Semester: Mathematics, 6 hours; Minor, 3 hours; Foreign Language II, 4 hours—Total Credit 13 hours.

Requirements for a Bachelor of Arts Degree in Mathematics

English

Six hours of composition.

Literature

Three hours of English or foreign language literature or other approved substitute.

Liberal Arts Elective

Three hours above the freshman level of literature (required option for teacher certification), or social and cultural studies designated as taught in the College of Liberal Arts, or fine arts or philosophy, or technical writing.

History

Six hours from 1311, 1312, and 3364.

Political Science

2311, 2312.

Social/Cultural Studies

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

Fine Arts and Philosophy

Three hours from architecture, art, dance, music, philosophy, or theatre arts.

Foreign Language

14 hours (Level I, II, III, and IV) in one language.

Natural Science

A total of 14 hours is required. Eight hours including laboratory in one science; the choices are: PHYS 1443 and 1444; or CHEM 1301, 1302, and 1284; or BIOL 1441 and 1442; or GEOL 1445 and 1446. 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.

Computer Literacy

Three hours from MATH 1319, CSE 1301, GEOL 1491, BUSA 2303, or equivalent course approved by Undergraduate Advisor.

Oral Communication Competency

Three hours from SPCH 1301, SPCH 2305, SPCH 3302, SPCH 3315, or equivalent course approved by Undergraduate Advisor.

Computer Programming

Three hours from MATH 1319, CSE 1306, 1310, 1320, 1325, or MATH 3345.

Major

MATH 1325, 1426, 2325, 2326, 3314, 3330, 3321, 3335.

One course from 4321, 4335, 4334

12 additional advanced hours (3300 or above), including a second sequence (see previous page, paragraph three).

Minor

Either a Departmental Minor or an Area Minor.

Departmental Minor: 18 hours in one department, including at least six advanced (3000 or above) hours.

Area Minor: 24 hours, including at least nine advanced (3000/4000) hours. Areas permitted are natural sciences (biology, chemistry, geology, physics), engineering, business administration, fine arts (architecture, art, music, and theatre arts) and social sciences (anthropology, economics, history, political science, psychology, sociology, and social work).

Electives

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

Total

A minimum of 120 hours, of which at least 39 must be 3000/4000 level, plus exercise and sport activities (EXSA) or ROTC or marching band as required.

Suggested Course Sequence

Freshman Year

First Semester: MATH 1325; ENGL 1301; HIST 1311; Computer Literacy, 3 hours; Foreign Language I, 4 hours; EXSA or ROTC or Marching Band—Total Credit 17 hours.

Second Semester: MATH 1426; ENGL 1302; HIST 1312; Natural Science, 3 or 4 hours; Foreign Language II, 4 hours; EXSA or ROTC—Total Credit 18 or 19 hours.

Sophomore Year

First Semester: MATH 2325; MATH 3314; English Literature, 3 hours; Natural Science, 3 or 4 hours; Foreign Language III, 3 hours; EXSA or ROTC or Marching Band—Total Credit 16 or 17 hours.

Second Semester: MATH 2326; MATH 3330; Liberal Arts Elective, 3 hours; Natural Science, 3 or 4 hours; Foreign Language IV, 3 hours; EXSA or ROTC—Total Credit 16 or 17 hours.

Junior Year

First Semester: MATH 3321; Mathematics, 3 hours; Minor 3 hours; Natural Science, 2 to 4 hours; Social and Cultural Studies, 3 hours—Total Credit 14 to 16 hours.

Second Semester: MATH 4321; Mathematics, 3 hours; Minor, 3 hours; Fine Arts/Philosophy, 3 hours; Elective, 3 hours—Total Credit 15 hours.

Senior Year

First Semester: MATH 3335; Mathematics, 3 hours; Minor, 3 hours; POLS 2311; Elective, 3 hours—Total Credit 15 hours.

Second Semester: Mathematics, 3 hours; Minor, 3 hours; Elective, 3 hours; POLS 2312—Total Credit 12 hours.

Requirements for a Bachelor of Science Degree in Mathematics

(Computer Science Option)

English

Six hours of composition.

Literature

Three hours of English or foreign language literature or other approved substitute.

Liberal Arts Elective

Three hours above the freshman level of literature (required option for teacher certification), or social and cultural studies designated as taught in the College of Liberal Arts, or fine arts or philosophy, or technical writing.

History

Six hours from 1311, 1312, and 3364.

Political Science

2311, 2312.

Social/Cultural Studies

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

Fine Arts and Philosophy

Three hours from architecture, art, dance, music, philosophy, or theatre arts.

Foreign Language

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

Natural Science

A total of 14 hours is required. Eight hours including laboratory in one science; the choices are: PHYS 1443 and 1444; or CHEM 1301, 1302, and 1284; or BIOL 1441 and 1442; or GEOL 1445 and 1446. 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.

Computer Literacy

Three hours from MATH 1319, CSE 1301, GEOL 1491, BUSA 2303, or equivalent course approved by Undergraduate Advisor.

Oral Communication Competency

Three hours from SPCH 1301, SPCH 2305, SPCH 3302, SPCH 3315 or equivalent course approved by Undergraduate Advisor.

Major

MATH 1325, 1426, 2325, 2326, 3313, 3314, 3318, 3330, 3345, 3321, 3335, 4345.

One course from 4321, 4335, 4334.

Option

CSE 1306 or MATH 1319 and CSE 1310, 1320, 1325, 2320.

Six other advanced (3000/4000) hours in computer science.

Choice

Six additional advanced hours (3300 or above) in mathematics or computer science.

Electives

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

Total

A minimum of 120 hours, of which at least 39 must be 3000/4000 level, plus exercise and sport activities (EXSA) or ROTC or marching band as required.

Suggested Course Sequence

Freshman Year

First Semester: MATH 1325; MATH 1426; CSE 1306; ENGL 1301; HIST 1311; EXSA or ROTC or Marching Band—Total Credit 17 hours.

Second Semester: MATH 2325; MATH 3314; CSE 1310; ENGL 1302; HIST 1312; EXSA or ROTC—Total Credit 16 hours.

Sophomore Year

First Semester: MATH 2326; MATH 3330; CSE 1320; English Literature, 3 hours; Social and Cultural Studies, 3 hours; EXSA or ROTC or Marching Band—Total Credit 16 hours.

Second Semester: MATH 3318; Elective, 3 hours; CSE 1325; Liberal Arts Elective, 3 hours; Fine Arts/Philosophy, 3 hours; EXSA or ROTC—Total Credit 16 hours.

Junior Year

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.

Senior Year

First Semester: MATH 3321; CSE, 3 hours; Natural Science, 3 hours; Foreign Language I, 4 hours—Total Credit 13 hours.

Second Semester: MATH 3313; Mathematics or CSE, 3 hours; Natural Science, 3 hours; Foreign Language II, 4 hours—Total Credit 13 hours.

Requirements for a Bachelor of Science Degree in Mathematics
(Statistics Option)

English

Six hours of composition.

Literature

Three hours of English or foreign language literature or other approved substitute.

Liberal Arts Elective

Three hours above the freshman level of literature (required option for teacher certification), or social and cultural studies designated as taught in the College of Liberal Arts, or fine arts or philosophy, or technical writing.

History

Six hours from 1311, 1312, and 3364.

Political Science

2311, 2312.

Social/Cultural Studies

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

Fine Arts and Philosophy

Three hours in architecture, art, dance, music, philosophy, or theatre arts.

Foreign Language

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

Natural Science

A total of 14 hours is required. Eight hours including laboratory in one science; the choices are: PHYS 1443 and 1444; or CHEM 1301, 1302, and 1284; or BIOL 1441 and 1442; or GEOL 1445 and 1446. 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.

Computer Literacy

Three hours from MATH 1319, CSE 1301, GEOL 1491, BUSA 2303, or equivalent course approved by Undergraduate Advisor.

Oral Communication Competency

Three hours from SPCH 1301, SPCH 2305, SPCH 3302, SPCH 3315, or equivalent course approved by Undergraduate Advisor.

Computer Programming

Three hours from MATH 1319, CSE 1306, 1310, 1320, 1325, or MATH 3345.

Major

MATH 1325, 1426, 2325, 2326, 3302, 3303, 3313, 3314, 3316, 3330, 3345, 3321, 3335, 4313.

One course from 4321, 4335, 4334

Three additional advanced hours (3300 or above) in mathematics.

Option

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

Electives

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

Total

A minimum of 120 hours, of which at least 39 must be 3000/4000 level, plus exercise and sport activities (EXSA) or ROTC or marching band as required.

Suggested Course Sequence

Freshman Year

First Semester: MATH 1325; MATH 1426; CSE 1306; ENGL 1301; HIST 1311; EXSA or ROTC or Marching Band—Total Credit 17 hours.

Second Semester: MATH 2325; MATH 3314; Natural Science, 4 hours; ENGL 1302; HIST 1312; EXSA or ROTC—Total Credit 17 hours.

Sophomore Year

First Semester: MATH 2326; MATH 3330; English Literature, 3 hours; Social and Cultural Studies, 3 hours; Natural Science, 4 hours; EXSA or ROTC or Marching Band—Total Credit 17 hours.

Second Semester: MATH 3313; MATH 3316; Natural Science, 3 hours; Liberal Arts Elective, 3 hours; Fine Arts/Philosophy, 3 hours; EXSA or ROTC—Total Credit 16 hours.

Junior Year

First Semester: MATH 3335; MATH 3302; CSE 4319; Natural Science, 3 hours; POLS 2311—Total Credit 15 hours.

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

Senior Year

First Semester: MATH 3345; Mathematics, 3 hours; BUSA 3322; Foreign Language I, 4 hours; Elective, 3 hours—Total Credit 16 hours.

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

Requirements for a Bachelor of Science Degree in Mathematics

(Management Science/Operations Research Option)

English

Six hours of composition.

Literature

Three hours of English or foreign language literature or other approved substitute.

Liberal Arts Elective

Three hours above the freshman level of literature (required option for teacher certification), or social and cultural studies designated as taught in the College of Liberal Arts, or fine arts or philosophy, or technical writing.

History

Six hours from 1311, 1312, and 3364.

Political Science

2311, 2312.

Social/Cultural Studies

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

Fine Arts and Philosophy

Three hours from architecture, art, dance, music, philosophy, or theatre arts.

Foreign Language

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

Natural Science

A total of 14 hours is required. Eight hours including laboratory in one science; the choices are: PHYS 1443 and 1444; or CHEM 1301, 1302, and 1284; or BIOL 1441 and 1442; or GEOL 1445 and 1446. 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.

Computer Programming

CSE 1306 or MATH 1319.

Computer Literacy

Three hours from MATH 1319, CSE 1301, GEOL 1491, BUSA 2303, or equivalent course approved by Undergraduate Advisor.

Oral Communication Competency

Three hours from SPCH 1301, SPCH 2305, SPCH 3302, SPCH 3315 or equivalent course approved by Undergraduate Advisor.

Major

MATH 1325, 1426, 2325, 2326, 3303, 3304, 3313, 3314, 3330, 3321, 3335.

One course from 4321, 4335, 4334.

Nine additional advanced hours (3300 or above), including a second sequence (see page 256, paragraph three).

Option

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

Electives

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

Total

A minimum of 120 hours, of which at least 39 must be 3000/4000 level, plus exercise and sport activities (EXSA) or ROTC or marching band as required.

Suggested Course Sequence

Freshman Year

First Semester: MATH 1325; MATH 1426; CSE 1306; ENGL 1301; HIST 1311; EXSA or ROTC or Marching Band—Total Credit 17 hours.

Second Semester: MATH 2325; MATH 3314; Natural Science, 4 hours; ENGL 1302; HIST 1312; EXSA or ROTC—Total Credit 17 hours.

Sophomore Year

First Semester: MATH 2326; MATH 3330; English Literature, 3 hours; ECON 2305; Natural Science, 4 hours; EXSA or ROTC or Marching Band—Total Credit 17 hours.

Second Semester: MATH 3313; MATH 3304; Natural Science, 3 hours; Liberal Arts Elective, 3 hours; ECON 2306; EXSA or ROTC—Total Credit 16 hours.

Junior Year

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

Second Semester: MATH 4335; BUSA 3306; ACCT 2302; Fine Arts/Philosophy, 3 hours; POLS 2312—Total Credit 15 hours.

Senior Year

First Semester: MATH 3321; Mathematics, 3 hours; POMA 3308; Advanced Bus., 3 hours; Foreign Language I, 4 hours—Total Credit 16 hours.

Second Semester: Mathematics, 6 hours; POMA, 3 hours; Advanced Bus., 3 hours; Foreign Language II, 4 hours—Total Credit 16 hours.

Second Major

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 MATH 3301 and 3319. The following courses are required: 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.

Admission 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.

•Minimum GPA of 2.25 in at least nine hours of mathematics courses in residence at the level of MATH 1325 or above.

•At least six hours from the science or computer science courses listed in the mathematics degree plans.

•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 depending on their current status.

Academic Probation (College of Science): Majors whose overall GPA or GPA in major courses falls below 2.0 will be placed on probation and, in addition to counseling by the University Advising Center, must consult with the Department Advisor prior to enrolling in additional courses.

Satisfactory Academic Standard Requirement

In addition to all U.T. Arlington university-wide scholastic probation policies, the Mathematics Department requires that a mathematics major whose GPA is below 2.0 for all mathematics courses attempted at U.T. Arlington with course numbers MATH 1325 or higher, must change his/her major program.

To re-enter as a mathematics major, the student needs to follow the procedure as stated in the Change of Major section.

Graduation Requirement

In addition to all U.T. Arlington university-wide graduation requirements, and in addition to the requirements for the specific bachelor degree programs offered by the Mathematics Department, the Mathematics Department requires that, in order to graduate, the candidate must have a GPA of at least 2.0 in all mathematics courses attempted at U.T. Arlington with course numbers above MATH 3000.

Transitional Graduation Requirement

Students enrolled at U.T. Arlington prior to Fall 1991 and who have not received credit for any mathematics course numbered MATH 3000 or above as of September 1, 1991, must, in order to graduate, have a GPA of at least 2.0 in all mathematics courses attempted at U.T. Arlington with course number MATH 3000 or above.

Non-Credit Courses

The following courses will not be counted for credit (as mathematics or electives) toward a bachelor's degree in mathematics: MATH 1308, 1315, 1316, BUSA 3321.

Pre-Actuarial Program

U.T. Arlington offers a number of courses containing background material for Society of Actuaries tests 100, 110, 120, 130 and 135. For a suggested program of study, see an advisor in the mathematics department.

Department of Mathematics Faculty

Chair

Professor Kannan

Professors

Bernfeld, Dragan, Dyer, Eisenfeld, Fix, Greenspan, Han, Ladde, Moore, Nestell

Associate Professors

Gillespie, Harvey, Hawkins, Heath, Korzeniowski, Liao, Luo, Su, Warren

Assistant Professors

Bochev, Hu, Jorgensen, Kribs Zaleta, Liu, Shilling, Shipman, Vancliff

Lecturers

Baker, McDonald

Mathematics (MATH)

Prefix and number in parenthesis following the U.T. Arlington course number and title is the Common Course Number designation.

Students must take and pass the Math Placement Test prior to registering for MATH 1302, 1303, 1308 or 1315.

0301. TASP PREPARATION (3-0) 3 hours credit. Review of topics covered on the Texas Academic Skills Program Test (TASP), including algebra and geometry. Credit in this course does not fulfill any degree requirement. Prerequisite: Math TASP score less than 220. $15 course fee.

0302. FUNDAMENTALS OF ALGEBRA (3-0) 3 hours credit. Basic algebraic operations, linear equations and inequalities, polynomials, rational expressions, factoring, exponents and radicals, and quadratic equations. Credit in this course does not fulfill any degree requirement. Prerequisite: Math TASP score greater than 219. $15 course fee.

1302. COLLEGE ALGEBRA (3-0) 3 hours credit (MATH 1314). Linear, quadratic and higher order polynomial equations and inequalities solved algebraically, graphically and numerically; graphs and operations on relations and functions; real and complex zeros of polynomials and rational functions; exponential and logarithmic functions; compound interest and annuities; systems of linear equations; matrices; permutations, combinations and probability. Prerequisite: passing score on the mathematics placement test (for details, contact the Mathematics Department). Credit cannot be received for both MATH 1302 and MATH 1315. $15 course fee.

1303. TRIGONOMETRY (3-0) 3 hours credit (MATH 1316). Trigonometric functions, radian measure, solution of triangles, graphs of trigonometric functions, trigonometric identities and equations, and complex numbers. Prerequisite: passing score on the mathematics placement test (for details, contact the Mathematics Department). $15 course fee.

1308. ELEMENTARY STATISTICAL ANALYSIS (3-0) 3 hours credit (MATH 1342). Descriptive statistics, relationships between variables, interpretation of data and graphs, rudiments of probability, elementary statistical models, hypothesis testing, inference, and estimation. Prerequisites: MATH 1302 or MATH 1315 or equivalent and passing score on the mathematics placement test (for details, contact the Mathematics Department). $15 course fee.

1313. LIBERAL ARTS HONORS MATHEMATICS (3-0) 3 hours credit. Topics from numbers and numerical systems, algebra, geometry, logic, probability, and the great problems of elementary mathematics. Prerequisite: Honors College acceptance.

1315. COLLEGE ALGEBRA FOR ECONOMICS AND BUSINESS ANALYSIS (3-0) 3 hours credit (MATH 1324). Presents material covered in a traditional algebra course but with emphasis toward business applications. Linear equations, systems of linear equations, systems of linear inequalities, elements of matrix algebra and probability. Prerequisite: passing score on the mathematics placement test (for details, contact the Mathematics Department). Credit cannot be received for both MATH 1302 and MATH 1315. $15 course fee.

1316. MATHEMATICS FOR ECONOMICS AND BUSINESS ANALYSIS (3-0) 3 hours credit (MATH 1325). Presents some of the mathematical tools that are useful in the analysis of business and economic problems. Topics are: compound interest, annuities, differential and integral calculus. Prerequisite: MATH 1315 or equivalent. $15 course fee.

1319. FORTRAN PROGRAMMING AND COMPUTER LITERACY (2-2) 3 hours credit. Computing techniques using the FORTRAN language. Word processing, spreadsheets, e-mail, Internet access, library search. This course will satisfy both the computer programming and computer literacy requirements for math majors. Prerequisite: MATH 1325 or concurrent registration.

1324. ALGEBRA AND TRIGONOMETRY (3-0) 3 hours credit. A fast-paced summary study of the topics of MATH 1302 and 1303 and intended for calculus-track students. Credit cannot be received for MATH 1324 and MATH 1302 or 1303. Prerequisite: Equivalent of at least two years high school algebra and trigonometry. $15 course fee.

1325. ANALYTIC GEOMETRY (3-0) 3 hours credit (MATH 1348). Vectors, lines in two dimensions, circles, conics, transformation of coordinates, polar coordinates, parametric equations, and the solid analytic geometry of vectors, lines, planes, cylinders, spherical and cylindrical coordinates. Prerequisite: MATH 1324, or MATH 1302 and MATH 1303, or two years of high school algebra and one-half year of high school trigonometry. $15 course fee.

1330. ARITHMETICAL PROBLEM SOLVING (3-0) 3 hours credit. This is a course in small and large group problem solving, with emphasis on reasoning and writing. Topics include problem solving, sets, operations and relations, arithmetic, place value and bases, propositional logic, fractions, number theory, number systems and estimation. Prerequisite: MATH 1302 and consent of instructor.

1331. GEOMETRICAL INFERENCE AND REASONING (3-0) 3 hours credit. A discovery-oriented exploration of two-and three-dimensional geometry, with emphasis on reasoning and writing. Topics include constructions, polygons, tessellations, polyhedra, symmetry, rigid motions in the plane, measurement, and discovering theorems. Prerequisite: MATH 1330 and consent of instructor.

1332. FUNCTIONS, DATA, AND APPLICATIONS (3-0) 3 hours credit. An exploration of interpreting data, using cooperative groups, spreadsheets and mathematical models. Topics include graphs, applications to economics and natural sciences, function concepts, counting principles, and basic probability and statistics. Prerequisite: MATH 1330 and consent of instructor.

1426. CALCULUS I (3-2) 4 hours credit (MATH 2413). Concepts of limit, continuity, differentiation and integration; applications of these concepts. The laboratory work will include a computer algebraic system. Prerequisite: MATH 1325 or concurrent registration with major advisor's approval. $15 course fee.

2325. CALCULUS II (3-0) 3 hours credit (MATH 2314). Applications of integration, techniques of integration, parametric equations, polar coordinates, sequences and series. Prerequisite: MATH 1426. $15 course fee.

2326. CALCULUS III (3-0) 3 hours credit (MATH 2315). Partial differentiation, multiple integrals (with applications), line integrals, Green's Theorem, surface integrals, Stokes' Theorem, divergence theorem. Prerequisite: MATH 2325. $15 course fee.

3300. INTRODUCTION TO PROOFS (3-0) 3 hours credit. Techniques for constructing proofs for various propositions. The propositions chosen exhibit properties of functions, relations, sets, cardinality, and other ideas in mathematics. An axiomatic approach to some areas in mathematics. Prerequisite: MATH 1426.

3301. INTRODUCTION TO THE FOUNDATIONS OF GEOMETRY (3-0) 3 hours credit. A development of the foundations of geometry. Prerequisite: MATH 1426.

3302. MULTIVARIATE STATISTICAL METHODS (3-0) 3 hours credit. Topics in multivariate data analysis with applications in various areas of interest including business research. Multiple regression, introduction to econometric models, discriminant analysis, cluster analysis, factor analysis, and the use of standard multivariate statistical packages. Prerequisite: MATH 3313 or MATH 3316.

3303. MATHEMATICAL GAME THEORY (3-0) 3 hours credit. Two-person zero-sum games, solving matrix games by linear programming, two-person non-zero sum games, noncooperative n-person games, Nash equilibrium points and refinements, cooperative n-person games, core, Shapley value, and other concepts of solution. Applications to cost allocation, fair division, and voting power. Prerequisite: MATH 3330.

3304. LINEAR OPTIMIZATION APPLICATIONS (3-0) 3 hours credit. An introduction to basic methods of optimization with applications to optimal resource application, minimal cost allocation and interpersonal decision making in noncooperative and cooperative environments. Includes simplex method, duality, zero sum games, transportation and assignment. Prerequisite: MATH 3330.

3307. ELEMENTARY NUMBER THEORY (3-0) 3 hours credit. Various topics in elementary number theory. Divisibility, congruences, quadratic reciprocity, and multiplicative functions. Prerequisite: nine hours of college mathematics.

3313. INTRODUCTION TO PROBABILITY AND MATHEMATICAL STATISTICS (3-0) 3 hours credit. Permutations, combinations, events and their probabilities, Bayes formula, random variables, probability distributions, expected value, functions of random variables, moment generating functions, central limit theorem and its role in statistics. Prerequisite: MATH 2326.

3314. DISCRETE MATHEMATICS (3-0) 3 hours credit. An introduction into discrete structures. Propositional calculus, sets and operations, functions, induction, counting, relations and matrices, equivalences and partial orders, graphs and shortest path algorithms, trees and minimal spanning trees, tree traversal, elements of boolean algebra. Prerequisite: MATH 1426.

3315. MATHEMATICAL MODELS (3-0) 3 hours credit. Methods for solving, by means of mathematics, problems which occur in other disciplines such as physics, engineering, biology, and economics. Basic mathematical tools are chosen from areas such as optimization, probability, differential equations, and computer-oriented mathematics. Problems arising in other disciplines or industrial applications are emphasized. Subject matter will depend on the instructor. Prerequisite: MATH 2326 or permission of the instructor.

3316. STATISTICAL INFERENCE (3-0) 3 hours credit. A comprehensive treatment of statistical methodology in various areas of applications. Elementary probability, descriptive statistics, discrete and continuous distributions, estimation, testing hypothesis, linear regression, and analysis of variance. Prerequisite: six hours of mathematics.

3318. DIFFERENTIAL EQUATIONS (3-0) 3 hours credit. Ordinary differential equations with emphasis on the solutions and analysis of first and higher order differential equations drawn from fields of physics, chemistry, geometry, and engineering. Prerequisite: MATH 2326 or concurrent registration.

3319. DIFFERENTIAL EQUATIONS AND LINEAR ALGEBRA (3-0) 3 hours credit. Introductory course with emphasis on solution techniques. Ordinary differential equations, vector spaces, linear transformations, matrix/vector algebra, eigenvectors, Laplace Transform, and systems of equations. Prerequisite: MATH 2326 or concurrent registration. $15 course fee.

3321. ABSTRACT ALGEBRA I (3-0) 3 hours credit. Groups including Lagrange's Theorem, Cauchy's Theorem, the homomorphism theorems, and symmetric groups. Prerequisite: MATH 3330 or MATH 3314.

3330. INTRODUCTION TO MATRICES AND LINEAR ALGEBRA (3-0) 3 hours credit. Solving systems of linear equations, matrix operations, determinants, vector spaces, linear transformation, orthogonality, Gram-Schmidt process, projections, and eigenvalues and eigenvectors. Prerequisite: MATH 1426.

3335. ANALYSIS I (3-0) 3 hours credit. Real numbers, sequences, series, limits of functions, continuity, and differentiation. Prerequisite: MATH 2326 and MATH 3314 or MATH 3330.

3345. NUMERICAL ANALYSIS AND COMPUTER APPLICATIONS (2-2) 3 hours credit. Elementary error analysis, numerical solutions of nonlinear equations, numerical integration and differentiation, polynomial interpolation, solutions of linear systems, and an introduction to spline functions. The laboratory work will include use of the computer in solving the problems. Prerequisites: MATH 2326, MATH 3330, and a knowledge of FORTRAN, C, or PASCAL.

4191, 4291, 4391. SPECIAL TOPICS IN MATHEMATICS (variable credit from 1 to 3 semester hours as arranged). Special topics in mathematics are assigned to individuals or small groups. Faculty members closely supervise the projects and assign library reference material. Small groups will hold seminars at suitable intervals. May be repeated for credit. Prerequisites: senior standing and written permission of the instructor and chair.

4303. INTRODUCTION TO TOPOLOGY (3-0) 3 hours credit. A first course in topology from the axiomatic point of view. Prerequisite: MATH 3335.

4311. ELEMENTARY RANDOM PROCESSES (3-0) 3 hours credit. A continuation of MATH 3313. Topics: Markov chains, Poisson process, birth and death processes, Brownian motion. Has applications to physics, biology, engineering, business. Prerequisite: MATH 3313 or equivalent.

4313. APPLICATIONS OF MATHEMATICAL STATISTICS (3-0) 3 hours credit. A continuation of MATH 3313. Sampling distributions, estimation of parameters, confidence intervals, testing of hypotheses, regression, correlation, and selected topics. Prerequisite: MATH 3313.

4314. ADVANCED DISCRETE MATHEMATICS (3-0) 3 hours credit. Finite automata, Turing machines, formal languages, graph
theory, combinatorial optimization, complexity of algorithms, P versus NP, and decidable versus undecidable problems. Prerequisite: MATH 3314.

4318. MATHEMATICAL METHODS FOR SCIENCES (3-0) 3 hours credit. Infinite series: complex variables; determinants; matrices; tensor analysis; Fourier analysis; differential equations; special functions. Prerequisites: MATH 3318 or 3319 and eight hours in the discipline of appropriate department.

4320. ADVANCED DIFFERENTIAL EQUATIONS (3-0) 3 hours credit. The existence and properties of solution of differential equations. Prerequisite: MATH 3318 or 3319.

4321. ABSTRACT ALGEBRA II (3-0) 3 hours credit. Rings and field theory, including polynomial rings and field extensions. Prerequisite: MATH 3321.

4322. INTRODUCTION TO COMPLEX VARIABLES (3-0) 3 hours credit. An introduction to the theory of functions of a complex variable and also an introduction to applications including uses of the residue theory, contour integration and conformal mapping. Prerequisite: MATH 2326.

4324. INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS (3-0) 3 hours credit. Methods of solutions of selected elliptic, parabolic, and hyperbolic partial differential equations with reference to physical applications. Prerequisite: MATH 3318 or 3319.

4334. ADVANCED MULTIVARIABLE CALCULUS (3-0) 3 hours credit. The properties of continuous mappings from N-dimensional Euclidean space to M-dimensional Euclidean space; an introduction to differential forms and vector calculus, based upon line integrals, surface integrals, and the general Stokes theorem. Prerequisite: MATH 3335.

4335. ANALYSIS II (3-0) 3 hours credit. Integration, sequences and series of functions, and metric spaces. Prerequisite: MATH 3335.

4342. COMPUTATIONAL GEOMETRY (2-2) 3 hours credit. A survey of the mathematical elements for computer graphics. Topics included are: affine, perspective and projective transformations, Bezier and B-spline curves and surfaces. Prerequisites: MATH 3301 or permission of instructor and a knowledge of a technical programming language.

4345. NUMERICAL ANALYSIS AND COMPUTER APPLICATIONS II (2-2) 3 hours credit. Numerical solutions for ordinary differential equations, boundary value problems, minimizations of multivariate functions, and methods of least squares. Prerequisites: MATH 3345 and 3318 or 3319.

4381. MATHEMATICS RESEARCH (3-0) 3 hours credit. Formulation and definition of research problems, the formulation and execution of strategies of solution, and the presentation of results. Prerequisite: consent of instructor. Recommendation by other faculty encouraged.

4392. ADVANCED TOPICS IN MATHEMATICS (3-0) 3 hours credit. Varies from semester to semester. New developments in mathematics, in-depth study of a topic not covered in other courses, or a special faculty expertise made available to undergraduates. May be repeated for credit as topic varies. Prerequisite: permission of instructor.

4393. HONORS THESIS/SENIOR PROJECT (3-0) 3 hours credit. Required of all students in the University Honors College. During the senior year the student must complete a thesis or a project under the direction of a faculty member in the math department. Prerequisite: Enrollment in the University Honors College and written permission of the instructor and chair.