Fayetteville, Arkansas 72701

479-575-2000

## Mathematical Sciences (MASC)

#### Search this catalog

Chaim Goodman-Strauss

Chair of the Department

301 Science and Engineering

479-575-3351

http://math.uark.edu

- Distinguished Professor Schein
- Professors Akeroyd, Brewer, Capogna, Cochran, Feldman, Goodman-Strauss, Lanzani, Luecking, Madison, Rieck, Ryan
- Professors Emeriti Duncan, Dunn, Kimura, Long, Scroggs, Summers
- Associate Professors Arnold, Harrington, Johnson, Meaux, Meek, Petris, Song
- Associate Professor Emeritus Monroe
- Assistant Professors Day, Dingman, Han, Raich, Tjani

Clinical Associate Professor Korth - Clinical Assistant Professors Harris, Woodland
- Visiting Assistant Professor Rutherford
- Instructors leaveland, Crisel, Fincher, Gastineau, Kieffer, Kennedy, Li, Morris, Nitschke, Nobles, Rosell, Sullivan, Zhang (C.), Zhang (J.)
- Instructors Emeriti Lieber, Mackey, Wickliff, Ziegler

The Department of Mathematical Sciences is committed to high level mathematics instruction, preparing students for careers in secondary education, actuarial science and industry, and for entrance into graduate studies in mathematics and statistics. The Bachelor of Arts degree is often sought by future secondary education majors or by students wishing a broader exposure to the humanities. The Bachelor of Science degree is sought by students who intend to go on to graduate studies or who would like a deeper and broader understanding of higher mathematics. Enrollment in or completion of any course at the level of MATH 2554 or higher is required to enter into the Mathematics program.

**Requirements for a Major in Mathematics, B.A. Degree:**

Students must complete 124 degree credit hours to include the minimum University/state core requirements, the Fulbright College of Arts and Sciences Graduation Requirements (see the Fulbright College Academic Regulations and Degree Completion Program Policy), and the following liberal arts and major course requirements. Bolded courses from the list below may be applied to portions of the University/state minimum core requirements.

A minimum of 63 hours:

12 Twelve total hours from the following science courses, at least 4 hours from each of the following two areas:

- Biological Sciences --
**ANTH 1013/1011L**,**BIOL 1543/1541L**,**BIOL 1603/1601L**,**BIOL 1613/1611L**,**BIOL 2013/2011L**; - Physical Sciences--
**ASTR 2003/2001L**,**CHEM 1103/1101L**,**CHEM 1123/1121L**,**GEOL 1113/1111L**,**GEOL 1133/1131L**,**PHYS 2054**,**PHYS 2074**

3 Philosophy course to be selected from: **PHIL 2003**, **PHIL 2103**, **PHIL 3103**

3-6 Any world language at the **Intermediate I 2003** level. (This is usually accomplished through completion of a sequence of three language courses: 1013 and 2003, depending on placement in sequence. (Please note: 1003 usually will not count towards the 124 hours required for degree credit; see the Fulbright College Admission Requirements for further details.)

3 One additional University/state core humanities course (not to include PHIL and not to include world language at the Intermediate I 2003 level)

3-4 Computer Science course CSCE 1953 or CSCE 2004;

**Math Course Requirements:**

MATH 2574 (*MATH 2554 and MATH 2564 are prerequisites*), MATH 2701, MATH 2803, MATH 3093, MATH 3113, MATH 3513, and MATH 4933 and 12 semester hours of courses in mathematics selected from MATH 2584 or MATH and STAT courses numbered at the 3000-level or higher; and the completion of a senior writing project under the direction of a faculty member; this is typically carried out in MATH 4933. An honors senior thesis will satisfy this requirement. It is recommended that MATH 2701 and MATH 2803 be taken as early as possible in the program.

**Requirements for a Major in Mathematics, B.S. Degree:**

Students must complete 124 degree credit hours to include the minimum University/state core requirements, the Fulbright College of Arts and Sciences Graduation Requirements (see the Fulbright College Academic Regulations and Degree Completion Program Policy), and the following liberal arts and major course requirements. Bolded courses from the list below may be applied to portions of the University/state minimum core requirements.

15-20 Two of the following sequences of science courses and one advanced-level course from BIOL, CHEM, CSCE, GEOL or PHYS:

**BIOL 1543/1541L**and one of**BIOL 1603/1601L, BIOL 1613/1611L**,**BIOL 2013/2011L**, or**BIOL 2533/2531L****CHEM 1103/1101L**and**CHEM 1123/1121L**

CSCE 2014**GEOL 1113/1111L**and**GEOL 1133/1131L****PHYS 2054**and**PHYS 2074**

3 Philosophy course to be selected from: **PHIL 2003**, **PHIL 2103**, or **PHIL 3103**

3 One additional non-PHIL University/state core humanities course

3 Any world language at the Elementary II 1013 level. Please note: if 1003 is taken as a prerequisite for 1013, 1003 usually will not count towards the 124 hours required for college degree credit; see the Fulbright College Admission Requirements for further details.

As a part of the requirements for a B.S. degree with a major in mathematics, the student must also complete the following 28 hours: MATH 2574 (*MATH 2554 and MATH 2564 are prerequisites*), MATH 2584, MATH 2701, MATH 2803, MATH 3093, MATH 3113, MATH 4513, MATH 4933, CSCE 2004, and the completion of a senior writing project under the direction of a faculty member; this is typically carried out in MATH 4933. An honors senior thesis will satisfy this requirement. It is recommended that MATH 2701 and MATH 2803 be taken as early as possible in the program. In addition, for the B.S. degree in mathematics, the student is required to complete one of the following three options:

- A program for the student who wishes to prepare for either applied work in mathematics or graduate work in some field other than mathematics or statistics (Option 1, Applied),
- A program for the student who is seeking a broad background in mathematics or who wishes to study mathematics at the graduate level (Option 2, Pure),
- A program for the student who wishes to emphasize statistics or who intends to study statistics at the graduate level (Option 3, Statistics).

Option 1 (Applied): 18-19 hours to include STAT 3013 or STAT 5103; MATH 3423, CSCE 3313, MATH 4353, MATH 4363, and one of MATH 4443, MATH 4523, or STAT 4003/4001L.

Option 2 (Pure): 18 hours to include MATH 4113, MATH 4443, MATH 4523, and nine hours of electives from CSCE 3313 or mathematics and statistics courses numbered above 3000.

Option 3 (Statistics): 19 hours of MATH or STAT courses at the 3000-level or higher to include MATH 4353, STAT 3013 or STAT 5103, STAT 4003, STAT 4001L, STAT 4033, and STAT 4043. Strongly recommended electives in this program are STAT 5103 and STAT 5113.

All of the mathematics and statistics electives used in fulfilling the requirements for the bachelor of science program in mathematics must be approved by the student’s adviser.

A 2.00 cumulative grade-point average on all work completed in the department of mathematical sciences will be required for graduation with a B.A. or B.S. degree.

Students wishing to follow the eight-semester degree plan should see the Eight-Semester Degree Completion Policy in the Academic Regulations chapter for university requirements of the program.

Core requirement hours may vary by individual, based on placement and previous credit granted. Once all core requirements are met, students may substitute a three-hour (or more) general elective in place of a core area.

**Fall Semester Year 1**

3 ENGL 1013 Composition I

4 †MATH 2554 Calculus I

3 Fine arts, philosophy or world literature requirement

3 Social science university/state core requirement

3 1013 Elementary II world language course

**16 Total Hours**

**Spring Semester Year 1**

3 ENGL 1023 Composition II

4 †MATH 2564 Calculus II

3 †MATH 2803 Introduction to Mathematical Proof

1 †MATH 2701 Survey of Higher Mathematics

3 2003 Intermediate I world language course

**16 Total Hours**

**Fall Semester Year 2**

4 †MATH 2574 Calculus III

3 ‡†MATH 3093 Abstract Linear Algebra

3 Philosophy, fine arts, or non-PHIL humanities requirement (as needed)

3 US History university/state core requirement

3 General Electives

16 Total Hours

**Spring Semester Year 2**

3-4 CSCE 1013 Explorations in Computing or CSCE 2004 Programming Foundations (recommended)

3 ‡†MATH/STAT Elective above 3000 level

3 Social science university/state core requirement

4 Science university/state core lecture with corequisite lab requirement

3 Non-PHIL humanities, fine arts or PHIL requirement (as needed)

**16-17 Total Hours**

**Fall Semester Year 3**

3 ‡†MATH 3113 Introduction to Abstract Algebra

3 Social science university/state core requirement

4 Science university/state core lecture with corequisite lab requirement

6 General Electives

**16 Total Hours**

**Spring Semester Year 3**

3 ‡†MATH 3513 Elementary Analysis

3 ‡†MATH/STAT Elective above 3000 Level

4 Biological or physical science lecture w/ corequisite lab as needed

6 General Electives

**16 Total Hours**

**Fall Semester Year 4**

3 ‡†MATH/STAT Elective above 3000 Level

3 General Electives

9 †3000-4000-level Electives

15 Total Hours

**Spring Semester Year 4**

3 ‡†MATH 4933 Math Major Seminar

3 ‡†MATH/STAT Elective above 3000 Level

8-9 General Electives (as needed)

**14-15 Semester Hours**

**124 Total Hours**

Students wishing to follow the eight-semester degree plan should see the Eight-Semester Degree Completion Policy in the Academic Regulations chapter for university requirements of the program. The B.S. degree in mathematics includes three options: Applied (Industrial), Pure (Graduate Study), and Statistics. The eight-semester plan for each is shown below.

Core requirement hours may vary by individual, based on placement and previous credit granted. Once all core requirements are met, students may substitute a three-hour (or more) general elective in place of a core area.

**Fall Semester Year 1**

3 ENGL 1013 Composition I

4 †MATH 2554 Calculus I

3 US History requirement

3 Social science university/state core requirement

3 1013 Elementary II world language course

**16 Total Hours**

**Spring Semester Year 1**

3 ENGL 1023 Composition II

4 †MATH 2564 Calculus II

1 †MATH 2701 Survey of Higher Mathematics

3 †MATH 2803 Introduction to Mathematical Proof

4 Science Sequence 1

**15 Total Hours**

**Fall Semester Year 2**

4 †MATH 2574 Calculus III

4 CSCE 2004 Programming Foundations

3 Social Science university/state core requirement

4 Science Sequence 1 (continued)

15 Total Hours

**Spring Semester Year 2**

4 †MATH 2584 Differential Equations

3 †‡MATH 3093 Abstract Linear Algebra

3 Social science university/state core requirement

3 Fine arts, PHIL requirement, or non-PHIL humanities requirement (as needed)

3 General Elective

16 Total Hours

**Fall Semester Year 3**

3 †‡MATH 3113 Abstract Algebra

3 †‡STAT 3013 Probability and Statistics

4 CSCE 2014 Programming Foundations II

3 PHIL requirement, non-PHIL humanities, or fine arts requirement (as needed)

3 General Elective

**16 Total Hours**

**Spring Semester Year 3**

3 †‡ MATH 3423 Advanced Applied Mathematics

3 †‡MATH 4353 Numerical Linear Algebra

3 Non-PHIL humanities, fine arts or PHIL requirement (as needed)

6 General Electives

15 Total Hours

**Fall Semester Year 4**

3 †‡MATH 4513 Advanced Calculus

3 †‡MATH 4363 Numerical Methods

3-4 †‡MATH 4443 Complex Variable for Application or †‡STAT 4003/4001L Statistical Methods and Lab

3 †CSCE 3313 Algorithms

3 General Electives

15-16 Total Hours

**Spring Semester Year 4**

3 †‡MATH 4933 Math Major Seminar

12-13 General Electives (as needed to complete 124 degree credit hours)

**15-16 Semester Hours**

**1****24 Total Hours**

† Meets 40-hour advanced credit hour requirement. See College Academic Regulations.

‡ Meets 24-hour rule (24 hours of 3000-4000 level courses in Fulbright College), in addition to meeting the 40-hour rule. See College Academic Regulations.

Students wishing to follow the eight-semester degree plan should see the Eight-Semester Degree Completion Policy in the Academic Regulations chapter for university requirements of the program. The B.S. degree in mathematics includes three options: Industrial, Graduate Study, and Statistics. The eight-semester plan for each is shown below.

Core requirement hours may vary by individual, based on placement and previous credit granted. Once all core requirements are met, students may substitute a three-hour (or more) general elective in place of a core area.

**Fall Semester Year 1**

3 ENGL 1013 Composition I

4 †MATH 2554 Calculus I

4 Science Sequence 1

3 Social science university/state core requirement

3 1013 Elementary II world language course

**17 Semester Hours**

**Spring Semester Year 1**

3 ENGL 1023 Composition II

4 †MATH 2564 Calculus II

1 †MATH 2701 Survey of Higher Mathematics

3 †MATH 2803 Introduction to Mathematical Proof

4 Science Sequence 1 (continued)

15 Semester Hours

**Fall Semester Year 2**

4 †MATH 2574 Calculus III

3 †‡MATH 3093 Abstract Linear Algebra

4 Science Sequence 2

3 U.S. history university/state core requirement

3 Fine arts, PHIL requirement or non-PHIL humanities course (as needed)

**17 Semester Hours**

**Spring Semester Year 2**

4 †MATH 2584 Differential Equations

3 †‡MATH/STAT 3000-4000 Level Elective

4 CSCE 2004 Programming Foundations

4 Science Sequence 2 (continued)

15 Semester Hours

**Fall Semester Year 3**

3 †‡ MATH 3113 Introduction to Abstract Algebra I

3 †‡ MATH/STAT 3000-4000 Level Elective

4 Science Sequence 3 (3000+ course from Science Sequence 1 or 2)

3 PHIL requirement, non-PHIL humanities course, or fine arts course requirement (as needed)

3 General Elective

16 Semester Hours

**Spring Semester Year 3**

3 †‡ MATH 4513 Advanced Calculus I

3 †‡ MATH 4113 Introduction to Abstract Algebra II

3 Social science university/state core requirement

3 Non-PHIL humanities course, fine arts course, or PHIL course requirement (as needed)

3 General Electives

15 Semester Hours

**Fall Semester Year 4**

3 †‡ MATH 4443 Complex Variable for Application

3 †‡ MATH /STAT 3000-4000 Level Elective

3 Social Science university/state core requirement

6 General Electives

**15 Semester Hours**

**Spring Semester Year 4**

3 †‡ MATH 4933 Math Major Seminar

3 †‡MATH 4523 Advanced Calculus II

9 General Electives

15 Semester Hours

124 Total Hours

† Meets 40-hour advanced credit hour requirement. See College Academic Regulations.

‡ Meets 24-hour rule (24 hours of 3000-4000 level courses in Fulbright College), in addition to meeting the 40-hour rule. See College Academic Regulations.

Students wishing to follow the eight-semester degree plan should see the Eight-Semester Degree Completion Policy in the Academic Regulations chapter for university requirements of the program. The B.S. degree in mathematics includes three options: Industrial, Graduate Study, and Statistics. The eight-semester plan for each is shown below.

**Fall Semester Year 1**

3 ENGL 1013 Composition I

4 †MATH 2554 Calculus I

4 Science Sequence 1

3 1013 Elementary II world language course

3 Social science university/state core requirement

**17 Semester Hours**

**Spring Semester Year 1**

3 ENGL 1023 Composition II

4 †MATH 2564 Calculus II

3 †MATH 2803 Introduction to Mathematical Proof

1 †MATH 2701 Survey of Higher Mathematics

4 Science Sequence 1 (continued)

**15 Semester Hours**

**Fall Semester Year 2**

4 †MATH 2574 Calculus III

3 †‡MATH 3093 Abstract Linear Algebra

4 Science Sequence 2

4 CSCE 2004 Programming Foundations I

**15 Semester Hours**

**Spring Semester Year 2**

4 †MATH 2584 Differential Equations

3 †‡STAT 3013 Probability and Statistics

3 U.S. History university/state core requirement

3 Fine arts, philosophy, or non-PHIL humanities course requirement

4 Science Sequence 2 (continued)

17 Semester Hours

**Fall Semester Year 3**

3 †‡MATH 3113 Abstract Algebra

4 †‡STAT 4003/4001L Statistical Methods and Lab

3 †Science Sequence 3 (3000+ course from Science Sequence 1 or 2)

3 Fine arts, philosophy or non-PHIL humanities requirement (as needed)

3 Social science/university/state core requirement

**16 Semester Hours**

**Spring Semester Year 3**

3 †‡MATH 4353 Numerical Linear Algebra

3 †‡MATH/STAT 3000-4000 Level Elective

3 Social science university/state core requirement

6 General Elective

**15 Semester Hours**

**Fall Semester Year 4**

3 †‡MATH 4513 Advanced Calculus I

3 †‡STAT 4033 Nonparametric Stat Methods

3 Fine arts, philosophy or non-PHIL humanities requirement (as needed)

6 General Elective

**15 Semester Hours**

**Spring Semester Year 4**

3 †‡MATH 4933 Math Major Seminar

3 †‡STAT 4043 Sampling Techniques

8 General Electives (as needed to meet 124 hour requirement)

14 Semester Hours

124 Total Hours

† Meets 40-hour advanced credit hour requirement. See College Academic Regulations.

‡ Meets 24-hour rule (24 hours of 3000-4000 level courses in Fulbright College), in addition to meeting the 40-hour rule. See College Academic Regulations.

**Requirements for Departmental Honors in Mathematics:** The Departmental Honors Program in Mathematics is designed for the superior student and is intended to help the student develop a more comprehensive view of the nature of mathematics. The program provides a vehicle for the recognition of the achievements of work beyond the usual course of study and earns the student the distinction “Mathematics Scholar *Cum Laude*” at graduation. Higher degree distinctions are recommended only in truly exceptional cases and are based upon the whole of the candidate’s program of honors studies.

**Graduation with honors:** The candidate must satisfy the requirements set forth by the Honors Council. The candidate must also obtain at least a 3.50 grade-point average in mathematics courses numbered MATH 2554, MATH 2564, MATH 2574, MATH 2584, MATH 3093, MATH 3113, and MATH 4513, as well as in the additional mathematics courses necessary to complete the requirements for the chosen option. In addition, a grade of “D” or “F” in any other course offered by the department disqualifies a student for honors.

Candidates must take one year of honors mathematics in their senior year. This course will require an acceptable paper and will carry two hours of credit per semester. The quality of this paper, along with the execution of the rest of the student’s honors program including the overall academic performance, will be used in determining the distinction between Honors and High Honors.

**Requirements for a Minor in Mathematics:** MATH 2564, either MATH 2603 or MATH 2803; and 3 courses selected from MATH 2574, MATH 2584, or any MATH or STAT courses at the 3000-level or higher.

**Requirements for a Minor in Statistics: **MATH 2554 and 12 hours of non-cross-listed courses in the statistics section of this catalog, including 9 hours in courses numbered 3000 and above. A student must notify the department of his or her intent to minor.

**Mathematics (B.A. or B.S.) Teacher Licensure Requirements:** Please refer to the Secondary Education Requirements for Fulbright College Students under Other Programs. Students wanting to teach mathematics in middle school should consult with a middle level adviser in the College of Education and Health Professions.

**Advising Note:** Students in Fulbright College of Arts and Sciences who, in the opinion of the department of mathematical sciences, need additional work in the fundamentals are required to take MATH 0003. Using the student’s record and their ACT or Mathematics Placement Test scores, a student’s adviser will suggest enrollment in appropriate courses (a mathematics ACT score below 19 indicates placement in MATH 0003.

## Statistics (STAT)

Laurie Meaux

Chair of Studies

301 Science and Engineering

479-575-3351

- Associate Professors Meaux, Petris
- Assistant Professor Song

**Requirements for a Minor in Statistics:** MATH 2554 and 12 hours of non-cross-listed courses, including 9 hours in courses numbered 3000 and above. A student must notify the department of mathematical sciences of his or her intent to minor.

## Courses

**MATH0003 Beginning and Intermediate Algebra (Sp, Su, Fa) ** For students who have inadequate preparation for taking MATH 1203. Credit earned in this course may not be applied to the total required for a degree. Corequisite: Lab component.

**MATH1203 College Algebra (Sp, Su, Fa) ** Topics include the solution and application of linear and quadratic equations and inequalities; functions, graphs, and theory of equations; matrix solutions of systems of equations and basic properties of matrices. Credit will be allowed for only one of MATH 1203 and MATH 1284C. Prerequisite: MATH 0003 with a grade of C or better, or a score of at least 80% on the University of Arkansas Preparedness for Algebra Exam, or a score of at least 23 on the math component of the ACT exam, or a score of at least 540 on the math component of the SAT. (Same as MATH 1203C,MATH 1204)

**MATH1203C College Algebra (Sp, Su, Fa) ** Same as MATH 1203 except taught with a corequisite drill component. Credit will be allowed for only one of MATH 1203 and MATH 1284C. Corequisite: Drill component. Prerequisite: MATH 0003 with a grade of C or better, or a score of at least 80% on the University of Arkansas Preparedness for Algebra Exam, or a score of at least 23 on the math component of the ACT exam, or a score of at least 540 on the math component of the SAT. (Same as MATH 1203,MATH 1204)

**MATH1204 College Algebra with Review (Sp, Su, Fa) ** Same as MATH 1203 with additional support, increased class time, additional review, and computerized lab component. Only one of MATH 1203, MATH 1204, AND MATH 1284C may be counted for degree credit. Prerequisite: MATH 0003 with a grade of C or better, or a score of at least 70% on the University of Arkansas Preparedness for Algebra Exam, or a score of at least 19 on the math component of the ACT exam, or a score of at least 460 on the math component of the SAT. (Same as MATH 1203,MATH 1203C)

**MATH1213 Plane Trigonometry (Sp, Su, Fa) ** Basic topics in trigonometry including identities, formulas, and polar coordinate system. Credit will be allowed for only one of either MATH 1213 or MATH 1284C. Corequisite: Lab component. Prerequisite: MATH 1203 or MATH 1204 with a grade of C or better, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT.

**MATH1284C Precalculus Mathematics (Sp, Su, Fa) ** Topics in algebra and trigonometry. To be taken by students who expect to take MATH 2554. Prerequisite: MATH 1203 or MATH 1204 with a grade of C or better, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT.

**MATH2031M Honors Mathematical Thought Lab (Sp, Fa) ** Supplemental honors laboratory for Math 2033, Mathematical Thought. Pre- or Corequisite: MATH 2033. Prerequisite: Honors standing or departmental consent.

**MATH2033 Mathematical Thought (Sp, Su, Fa) ** This course introduces students to a variety of topics in modern mathematics. Topics vary and can include graph theory, game theory, voting systems, foundations of logic, cardinality, discrete geometry combinatorics, geometry of surfaces, topology and symmetry. Prerequisite: MATH 1203 or MATH 1204 with a grade of C or better, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT.

**MATH2043 Survey of Calculus (Sp, Su, Fa) ** Selected topics in elementary calculus and analytic geometry for students in business, agriculture, and social sciences. Credit will be allowed for only one of MATH 2043 and MATH 2554. Prerequisite: MATH 1203 or MATH 1204 or MATH 1213 or MATH 1284C or MATH 2053 with a grade of C or better, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT. (Same as MATH 2043C)

**MATH2043C Survey of Calculus (Sp, Su, Fa) ** Selected topics in elementary calculus and analytic geometry for students in business, agriculture, and social sciences. Credit will be allowed for only one of MATH 2043 and MATH 2554. Corequisite: Drill component. Prerequisite: MATH 1203 or MATH 1204 or MATH 1213 or MATH 1284C or MATH 2053 with a grade of C or better, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT. (Same as MATH 2043)

**MATH2053 Finite Mathematics (Sp, Su, Fa) ** Selected topics in probability and statistics, review of algebraic matrices, and graphic analysis of linear programming for students in business, agriculture, and social sciences. Prerequisite: MATH 1203 or MATH 1204 or MATH 1213 or MATH 1284C or MATH 2043 with a grade of C or better, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT. (Same as MATH 2053C)

**MATH2053C Finite Mathematics (Sp, Fa) ** Selected topics in probability and statistics, review of algebraic matrices, and graphic analysis of linear programming for students in business, agriculture, and social sciences. Taught with a two-day-per-week lecture and one-day-per-week drill. Corequisite: Drill component. Prerequisite: MATH 1203 or MATH 1204 or MATH 1213 or MATH 1284C or MATH 2043 with a grade of C or better, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT. (Same as MATH 2053)

**MATH2183 Mathematical Reasoning in a Quantitative World (Sp, Fa) ** Mathematical and statistical reasoning are required in contexts of growing complexity and sophistication. The purpose of this course is to cause students to possess the power and habit of mind to search out quantitative information, critique it, reflect upon it, and apply it in their public, personal and professional lives. Prerequisite: MATH 1203 or MATH 1204 with a grade of C or better, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT.

**MATH2213 Survey of Mathematical Structures I (Sp, Su, Fa) ** Sets and logic, systems of numerations, number systems and operations, and elementary number theory. Prerequisite: A grade of C or better in any of Math 1203, Math 1204, Math 1213, Math 1284C, Math 2033, Math 2043, Math 2053, Math 2183 or Math 2554.

**MATH2223 Survey of Mathematical Structures II (Sp, Su, Fa) ** Geometry and measurement, and statistics and probability. Prerequisite: A grade of C or better in any of Math 1203, Math 1204, Math 1213, Math 1284, Math 2033, Math 2043, Math 2053, Math 2183 or Math 2554.

**MATH2554 Calculus I (Sp, Su, Fa) ** Derivative of functions of one variable, applications of the derivative, introduction of the integral, and applications. Credit will be allowed for only one of MATH 2554 and MATH 2043. Prerequisite: MATH 1213 with a grade of C or better, or Math 1284C with a grade of C or better, or a score of at least 80% on the University of Arkansas Preparedness for Calculus Exam, or a score of at least 30 on the math component of the ACT exam, or a score of at least 680 on the math component of the SAT, or a score of at least 3 on the Calculus AB Advanced Placement Exam. (Same as MATH 2554C)

**MATH2554H Honors Calculus I (Sp, Su) ** Topics in analytic geometry and calculus presented in a rigorous manner suitable for an honors student. Students may not receive credit for both MATH 2043 and MATH 2554. Prerequisite: Honors standing or departmental consent; and a score of at least 30 on the math component of the ACT exam, or a score of at least 680 on the math component of the SAT exam.

**MATH2554C Calculus I (Sp, Su, Fa) ** Derivative of functions of one variable, applications of the derivative, introduction of the integral, and applications. Credit will be allowed for only one of MATH 2554 and MATH 2043. Corequisite: Drill component. Prerequisite: MATH 1213 with a grade of C or better, or Math 1284C with a grade of C or better, or a score of at least 80% on the University of Arkansas Preparedness for Calculus Exam, or a score of at least 30 on the math component of the ACT exam, or a score of at least 680 on the math component of the SAT, or a score of at least 3 on the Calculus AB Advanced Placement Exam. (Same as MATH 2554)

**MATH2564 Calculus II (Sp, Su, Fa) ** Integral calculus of one variable and infinite series. Prerequisite: MATH 2554 with a grade of C or better. (Same as MATH 2564C)

**MATH2564H Honors Calculus II (Sp) ** Integral calculus of one variable and infinite series. Prerequisite: MATH 2554 with a grade of A, or MATH 2554H with a grade of A or B, or a score of 5 on the AP AB Calculus Exam.

**MATH2564C Calculus II (Sp, Su, Fa) ** Integral calculus of one variable and infinite series. Three hours of lecture and two hours of drill (recitation) per week. Corequisite: Drill component. Prerequisite: MATH 2554 with a grade of C or better. (Same as MATH 2564)

**MATH2574 Calculus III (Sp, Su, Fa) ** Differential and integral calculus of several variables, and vector calculus. Prerequisite: MATH 2564 with a grade of C or better. (Same as MATH 2574C)

**MATH2574H Honors Calculus III (Sp, Su, Fa) ** Differential and integral calculus of several variables, and vector calculus. Prerequisite: MATH 2564 with a grade of A, or MATH 2564H with a grade of A or B, or a score of 5 on the AP BC Calculus exam.

**MATH2574C Calculus III (Sp, Su, Fa) ** Differential and integral calculus of several variables, and vector calculus. Three hours of lecture and two hours of drill (recitation) per week. Corequisite: Drill component. Prerequisite: MATH 2564 with a grade of C or better. (Same as MATH 2574)

**MATH2584 Differential Equations and Laplace Transform (Sp, Su, Fa) ** First and second order ordinary differential equations, the Laplace transform, and matrix systems of ordinary differential equations. Prerequisite: MATH 2564 with a grade of C or better. (Same as CVEG 3133,MATH 2584C)

**MATH2584C Differential Equations and Laplace Transform (Sp, Su, Fa) ** First and second order ordinary differential equations, the Laplace transform, and matrix systems of ordinary differential equations. Three hours of lecture and two hours of drill (recitation) per week. Corequisite: Drill component. Prerequisite: MATH 2564 with a grade C or better. (Same as CVEG 3133,MATH 2584)

**MATH2603 Discrete Mathematics (Sp, Su, Fa) ** Introductory study of sets, relations, logic, proofs, algorithms, counting methods, graph theory, trees, and Boolean algebras. Prerequisite: MATH 2554 with a grade of C or better or the equivalent. (Same as MATH 2603C)

**MATH2603C Discrete Mathematics (Sp, Su, Fa) ** Introductory study of sets, relations, logic, proofs, algorithms, counting methods, graph theory, trees, and Boolean algebras. Corequisite: Drill component. Prerequisite: MATH 2554 with a grade of C or better or the equivalent. (Same as MATH 2603)

**MATH2701 Survey of Higher Math (Sp) ** This course overviews the landscape of higher mathematics, touching on many of the themes of modern mathematics: proof, logic, cardinality, analysis, modeling, abstract algebra, number theory, topology and geometry. Pre- or Corequisite: MATH 2564.

**MATH2803 Introduction to Mathematical Proof (Sp, Fa) ** Introduction to methods of mathematical proof, with applications.
Pre or corequisite: MATH 2564

**MATH3083 Linear Algebra (Sp, Su, Fa) ** Systems of linear equations, vector spaces, linear transformations, matrices, and determinants. Only one of MATH 3083 and MATH 3093 will count for credit. Prerequisite: MATH 2554 or MATH 2043, with a grade of C or better.

**MATH3093 Abstract Linear Algebra (Sp, Fa) ** A proof-based course on vector spaces, linear transformations, matrices, determinants, eigenspaces and eigenvalues, with applications. Recommended for mathematics majors. Only one of Math 3083 and Math 3093 may be counted for credit. Pre- or Corequisite: MATH 2803. Prerequisite: MATH 2564 with a C or better.

**MATH3103 Combinatorial and Discrete Mathematics (Sp) ** Basic combinatorial techniques including the study of networks, generating functions, principles of inclusion/ exclusion, Zn, Hamming coding theory, graph theory, and block designs. Prerequisite: MATH 2603.

**MATH3113 Introduction to Abstract Algebra I (Sp, Fa) ** Introduction to algebraic structures with emphasis on rigorous justification of results. Prerequisite: MATH 2603 with a grade of C or better; and MATH 3083 or MATH 3093 with a grade of C or better.

**MATH3133 History of Mathematics (Irregular) ** Prerequisite: MATH 2603 and MATH 2554, both with a grade of C or better.

**MATH3203 Number Theory (Irregular) ** Topics in elementary number theory. Prerequisite: MATH 2554 and MATH 2603 with a grade of C or better.

**MATH3423 Advanced Applied Mathematics (Sp, Su, Fa) ** Matrices, Fourier analysis, and partial differential equations. Prerequisite: MATH 2584 with a grade of C or better.

**MATH3513 Elementary Analysis (Sp, Fa) ** A first rigorous course in analysis. The formal basis of the real number system, sequences and series, the Bolzano-Weierstrass Theorem, limits and continuity, the Intermediate Value Theorem, Rolle's Theorem, differentiation, the Mean Value Theorem and its consequences, Taylor's Theorem, L'Hopital's rules, convexity, Riemann integration, the Fundamental Theorem of Calculus. Prerequisite: A grade of C or better in each of MATH 2554, MATH 2564, MATH 2574, MATH 3083 or MATH 3093, and MATH 2803.

**MATH3773 Foundations of Geometry I (Fa) ** Axiomatic method; Euclidean geometry; non-Euclidean geometry. Prerequisite: MATH 2554, and MATH 2603 or MATH 2803, each with a grade of C or better.

**MATH3923H Honors Colloquium (Irregular) ** Covers a special topic or issue, offered as part of the honors program. Prerequisite: Honors candidacy (not restricted to candidacy in mathematics). May be repeated for credit.

**MATH399VH Honors Mathematics Course (Sp, Su, Fa) (1-6) ** Prerequisite: Departmental consent. May be repeated for up to 12 hours of degree credit.

**MATH400V Directed Readings (Sp, Su, Fa) (1-6) ** Prerequisite: Departmental consent.

**MATH404V Classroom Practices in Mathematics (Sp, Fa) (1-3) ** The pedagogy of curricular materials in mathematics acquired through participation in the classroom as an apprentice teacher. Non-major elective credit only. Prerequisite: MATH 2574 and departmental approval.

**MATH4103 Finite Dimensional Vector Spaces (Irregular) ** Linear functionals, matrix representation of linear transformations, scalar product, and spectral representation of linear transformations. Prerequisite: MATH 3083.

**MATH4113 Introduction to Abstract Algebra II (Fa) ** Topics in abstract algebra including finite abelian groups, linear groups, factorization in commutative rings, quadratic field extensions, Gaussian integers, Wedderburn's theorem, and multilinear algebra. Prerequisite: MATH 3113.

**MATH4153 Mathematical Modeling (Irregular) ** Mathematical techniques for formulating, analyzing, and criticizing deterministic models taken from the biological, social, and physical sciences. Techniques include graphical methods, stability, optimization, and phase plane analysis. Prerequisite: MATH 2584.

**MATH4163 Dynamic Models in Biology (Irregular) ** Mathematical and computational techniques for developing, executing, and analyzing dynamic models arising in the biological sciences. Both discrete and continuous time models are studied. Applications include population dynamics, cellular dynamics, and the spread of infectious diseases. Prerequisite: MATH 2554. (Same as BIOL 4163)

**MATH4253 Symbolic Logic I (Fa) ** Rigorous analyses of the concepts of proof, consistency, equivalence, validity, implication, and truth. Full coverage of truth-functional logic and quantification theory (predicate calculus). Discussion of the nature and limits of mechanical procedures (algorithms) for proving theorems in logic and mathematics. Informal accounts of the basic facts about infinite sets. Prerequisite: MATH 2603 or PHIL 2203. (Same as PHIL 4253)

**MATH4353 Numerical Linear Algebra (Sp) ** Numerical methods for problems of linear algebra, including the solution of very large systems, eigenvalues, and eigenvectors. Prerequisite: MATH 3083.

**MATH4363 Numerical Analysis (Fa) ** General iterative techniques, error analysis, root finding, interpolation, approximation, numerical integration, and numerical solution of differential equations. Prerequisite: MATH 2584.

**MATH4443 Complex Variable for Application (Fa) ** Complex analysis, series, and conformal mapping. Additional applications for graduate credit. Prerequisite: MATH 2603 or MATH 2803, and MATH 2584.

**MATH4503 Differential Geometry and Vector Calculus (Irregular) ** Topics include: Vector differential and integral calculus, Stokes' Theorem in 3-space, classical differential geometry in 3-space (curves, surfaces), differential forms, general Stokes' Theorem, applications to hydrodynamics, and electromagnetism. Prerequisite: MATH 2574.

**MATH4513 Advanced Calculus I (Fa) ** The real and complex number systems, basic set theory and topology, sequences and series, continuity, differentiation, and Taylor's theorem. Emphasis is placed on careful mathematical reasoning. Prerequisite: MATH 2574 and MATH 3083 or MATH 3093.

**MATH4523 Advanced Calculus II (Sp) ** The Riemann-Stieltjes integral, uniform convergence of functions, Fourier series, implicit function theorem, Jacobians, and derivatives of higher order. Prerequisite: MATH 4513.

**MATH4933 Mathematics Major Seminar (Sp) ** Weekly seminars on topics of historical or cross-disciplinary interest, designed to address students' mathematical knowledge, problem-solving and communication skills, in which student presentations play a part. Also serves as a forum for sharing information about career opportunities and preparation for employment. Prerequisite: Senior standing and a mathematics major, or departmental consent.

**MATH498V Senior Thesis (Sp, Su, Fa) (1-6) **

**MATH499V Research Topics in Mathematics (Irregular) (1-3) ** Current research interests in mathematics, at an advanced undergraduate or beginning graduate level. Prerequisite: Departmental consent. May be repeated for up to 12 hours of degree credit.

**MATH499VH Honors Research Topics in Mathematics (Irregular) (1-3) ** Current research interests in mathematics, at an advanced undergraduate or beginning graduate level. Prerequisite: Departmental consent. May be repeated for up to 12 hours of degree credit.

**MATH5001 Connections to School Mathematics (Irregular) ** This course is a supplement to any graduate course in statistics, algebra, analysis, or geometry. The purpose is to connect the content of the graduate course to school mathematics. Prerequisite: Departmental consent. May be repeated for up to 6 hours of degree credit.

**MATH5013 Abstract Algebra with Connections to School Mathematics (Irregular) ** Basic structures of abstract algebra (rings, fields, groups, modules and vector spaces) with emphasis on rings and fields as generalizations of the ring of integers and field of rational numbers. Degree credit will not be awarded for both MATH 4113 (or MATH 5123) plus MATH 5001 and for MATH 5013. Prerequisite: Graduate standing or departmental consent.

**MATH5023 Geometry with Connections to School Mathematics (Odd years, Fa) ** School geometry from an advanced perspective including conformity to the Common Core State Standards for Mathematics. Study will include historical developments and geometry based on transformations of two- and three-dimensional space. Prerequisite: Graduate standing.

**MATH5033 Advanced Calculus with Connections to School Mathematics Teaching (Irregular) ** Rigorous development of the real numbers, continuity, differentiation, and integration. Degree credit will not be awarded for both MATH 4513 (or MATH 5503) plus MATH 5001 and for MATH 5033. Prerequisite: Departmental consent.

**MATH504V Special Topics for Teachers (Irregular) (1-6) ** Current topics in mathematics of interest to secondary school teachers. Prerequisite: Graduate standing or departmental consent. May be repeated for credit.

**MATH5053 Probability & Statistics with Connections to School Mathematics (Sp) ** An advanced perspective of probability and statistics as contained in the high school mathematics curriculum with connections to other components of school mathematics. The content is guided by the content of the high school probability and statistics of the Common Core State Standards for Mathematics. Prerequisite: Graduate standing.

**MATH507V Professional Development for Secondary Mathematics Teaching (Irregular) (1-3) ** Validated participation in professional development mathematics workshops or institutes sanctioned by national or international educational organizations such as the College Board, International Baccalaureate Program, and the National Board for Professional Teaching Standards. Prerequisite: Enrollment in Secondary Mathematics Teaching, MA degree program or departmental consent. May be repeated for up to 6 hours of degree credit.

**MATH510V Mathematical Seminar (Sp, Fa) (1-3) ** Members of the faculty and advanced students meet for presentation and discussion of topics. Prerequisite: Graduate standing in mathematics or statistics, or departmental consent.

**MATH5123 Algebra I (Fa) ** What the beginning graduate student should know about algebra: groups, rings, fields, modules, algebras, categories, homological algebra, and Galois Theory. Prerequisite: MATH 3113, and graduate standing in mathematics or statistics, or departmental consent.

**MATH5133 Algebra II (Sp) ** Continuation of 5123. Prerequisite: MATH 5123, and graduate standing in mathematics or statistics.

**MATH5303 Ordinary Differential Equations (Fa) ** Existence, uniqueness, stability, qualitative behavior, and numerical solutions. Prerequisite: MATH 2584 and MATH 4513, and graduate standing in mathematics or statistics, or departmental consent.

**MATH5313 Partial Differential Equations (Sp) ** Classification, boundary value problems, applications, and numerical solutions. Prerequisite: MATH 3423 and MATH 4513, and graduate standing in mathematics or statistics, or departmental consent.

**MATH5363 Scientific Computation and Numerical Methods (Fa) ** An introduction to numerical methods used in solving various problems in engineering and the sciences. May not earn credit for this course and MATH 4353 or MATH 4363. Prerequisite: Graduate standing in mathematics or statistics, or departmental consent. (Same as PHYS 5363)

**MATH5453 Functional Analysis I (Odd years, Sp) ** Banach Spaces, Hilbert Spaces, operator theory, compact operators, dual spaces and adjoints, spectral theory, Hahn-Banach, open mapping and closed graph theorems, uniform boundedness principle, weak topologies. Prerequisite: MATH 5513, and graduate standing in mathematics or statistics, or departmental consent.

**MATH5503 Theory of Functions of a Real Variable I (Fa) ** Real number system, Lebesque measure, Lebesque integral, convergence theorems, differentiation of monotone functions, absolute continuity and the fundamental theorem of calculus L^P spaces, Holder and Minkowski inequalities, and bounded linear functionals on the L^P spaces. Prerequisite: MATH 4523, and graduate standing in mathematics or statistics, or departmental consent.

**MATH5513 Theory of Functions of a Real Variable II (Sp) ** Measure and integration on abstract measure spaces, signed measures, Hahn decomposition, Radon-Nikdoym theorem, Lebesque decomposition, measures on algebras and their extensions, product measures, and Fubini's theorem. Prerequisite: MATH 5503, and graduate standing in mathematics or statistics, or departmental consent.

**MATH5523 Theory of Functions of a Complex Variable I (Fa) ** Complex numbers, analytic functions, power series, complex integration, Cauchy's Theorem and integral formula, maximum principle, singularities, Laurent series, and Mobius maps. Prerequisite: MATH 4513.

**MATH5533 Theory of Functions of a Complex Variable II (Sp) ** Riemann Mapping Theorem, analytic continuation, harmonic functions, and entire functions. Prerequisite: MATH 5523, and graduate standing in mathematics or statistics, or departmental consent.

**MATH5703 Foundations of Topology (Fa) ** Metric and general topological spaces, separation axioms, Urysohn's lemma, Tietze extension theorem, connectedness, compactness, and the Tychonoff theorem. Prerequisite: MATH 4513, and graduate standing in mathematics or statistics, or departmental consent.

**MATH5713 Algebraic Topology (Fa) ** Homotopy, singular and relative homology, excision theorem, the Mayer-Vietoris sequence, Betti numbers, and the Euler characteristic. Prerequisite: MATH 5703, and graduate standing in mathematics or statistics, or departmental consent.

**MATH610V Directed Readings (Irregular) (1-6) ** Prerequisite: Departmental consent.

**MATH619V Topics in Algebra (Sp, Su, Fa) (1-6) ** Current research interests in algebra. May be repeated for credit. Prerequisite: Graduate standing in mathematics or statistics, or departmental consent.

**MATH659V Topics in Analysis (Sp, Su, Fa) (1-6) ** Current research interests in analysis. May be repeated for credit. Prerequisite: Graduate standing in mathematics or statistics, or departmental consent.

**MATH679V Topics in Topology (Sp, Su, Fa) (1-6) ** Current research interest in topology. May be repeated for credit. Prerequisite: Graduate standing in mathematics or statistics, or departmental consent.

**MATH700V Doctoral Dissertation (Sp, Su, Fa) (1-18) ** Prerequisite: Doctoral candidacy in mathematics.

**STAT2023 Biostatistics (Sp) ** An introductory course in biostatistics emphasizing methods for collecting, graphing, and understanding data. Special emphasis is placed upon available methods for both exploratory and confirmatory data analysis. Particular attention is given to statistical methods for data sets with discrete variables. Pre- or Corequisite: MATH 2554. Corequisite: Lab component.

**STAT2303 Principles of Statistics (Sp) ** A problem-oriented course with applications from many fields. Emphasis on understanding the nature of statistical orderliness implied by probability laws. Statistical analysis is treated as a means of decision making in the face of uncertainty. Prerequisite: Math 1203 or 1204 each with a grade of "C" or better, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT.

**STAT3013 Introduction to Probability and Statistics (Sp, Su, Fa) ** A calculus-based introduction to the foundations of probability and statistics. Emphasis is placed upon understanding elementary properties of probabilities, events, statistical densities and distributions, properties of random variables, law of large numbers, and their relationship to sampling and statistical inference. Prerequisite: MATH 2564.

**STAT4001L Statistics Methods Laboratory (Sp, Fa) ** Emphasis on use of integrated statistical packages to complement statistical methodology being covered concurrently in STAT 4003. Corequisite: STAT 4003.

**STAT4003 Statistical Methods (Sp, Fa) ** Concepts of probability, sampling, regression, and experimental design. Corequisite: STAT 4001L. Prerequisite: MATH 2554.

**STAT4033 Nonparametric Statistical Methods (Sp, Su, Fa) ** Chi square tests. Kolmogorov-Smirnov goodness-of-fit tests, the Mann-Whitney and Wilcoxon 2-sampling tests, and various nonparametric measures of association. Prerequisite: MATH 1203 and junior standing.

**STAT4373 Experimental Design (Sp) ** Topics in the design and analysis of planned experiments, including randomized block, Latin square, split plot, and BIB designs, use of fractional factorial replication, and repeated measures. Prerequisite: STAT 4003.

**STAT5103 Introduction to Probability Theory (Fa) ** Fundamentals of probability, distribution theory, and random variables; expected value, moments, and generating functions; classic parametric families of distributions; central limit theorems, inequalities, and laws of large numbers. Prerequisite: MATH 2574 and graduate standing in mathematics or statistics, or departmental consent.

**STAT5113 Statistical Inference (Sp) ** Statistical theory of estimation and testing hypothesis. Prerequisite: STAT 5103 and graduate standing in mathematics or statistics, or departmental consent.

**STAT5313 Regression Analysis I (Sp) ** Matrix formulation of least squares and multiple regression models. Estimability and use of the generalized inverse in analysis of variance and covariance models of less than full rank. Computational aspects are emphasized. Prerequisite: Graduate standing in mathematics or statistics, or departmental consent.

**STAT5333 Analysis of Categorical Responses (Sp) ** A modern treatment, including extensions of classical probit analysis, multivariate logistic models, GSK model, loglinear models in analysis of multiway contingency tables, and nonmetric multidimensional scaling. Prerequisite: STAT 5313, and graduate standing in mathematics or statistics, or departmental consent.

**STAT5343 Stochastic Processes (Sp, Su, Fa) ** Markov chains, branching processes, birth-death processes, queuing theory with application. Prerequisite: STAT 5103, and graduate standing in mathematics or statistics, or departmental consent.

**STAT5353 Methods of Multivariate Analysis II (Sp) ** Hotelling's T2 procedures, multivariate analysis of variance, discriminant function analysis and problems of classification, multidimensional scaling, and cluster analysis. Prerequisite: STAT 5313, and graduate standing in mathematics or statistics, or departmental consent.

**STAT5383 Time Series Analysis (Sp, Su, Fa) ** Identification, estimation and forecasting of time series. Spectral analysis including the fast Fourier transform computational aspects are emphasized. Prerequisite: STAT 5103, and graduate standing in mathematics or statistics, or departmental consent.

**STAT5413 Spatial Statistics (Fa) ** Applied spatial statistics, covering univariate spatial modeling (kriging), multivariate spatial modeling (cokriging), methods of estimation and inference, and spatial sampling designs. Special relevance to remote sensing. Prerequisite: STAT 5313, and graduate standing in mathematics or statistics, or departmental consent..

**STAT550V Statistical Consulting (Sp, Su, Fa) (1-3) ** Designed to give students a statistical consulting practicum. Students meet with clients, analyze data and prepare reports for the clients. May be repeated for up to 6 hours of degree credit.

**STAT610V Research in Statistics (Irregular) (1-4) ** Prerequisite: Graduate standing in mathematics or statistics, or departmental consent.

**STAT639V Topics in Statistics (Irregular) (1-3) ** Current state of the art on methodology in one of the topics: multivariate analysis, time series analysis, sequential analysis, factor analysis, or biostatistics. May be repeated for credit. Prerequisite: Graduate standing in mathematics or statistics, or departmental consent.