Mark Johnson

Chair of the Department

309 Science Engineering Building

479-575-3351

Department of Mathematical Sciences Website

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 department offers two majors, one leading to a Bachelor of Arts degree and a second leading to a Bachelor Science degree.

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. The Department of Mathematical Sciences is committed to the values of a broad, interdisciplinary education, highlighting the utility and value of the mathematics degree in a wide variety of careers and disciplines.

Enrollment in or completion of any course at the level of MATH 2554 or higher is required to enter into the mathematics program.

**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.

**Requirements for a Major in Mathematics, B.A. Degree:** Students must complete 120 degree credit hours to include the minimum University Core requirements, the Fulbright College of Arts and Sciences Graduation Requirements, and the following course requirements. Bolded courses from the list below may be applied to portions of the University Core requirements.

Eight hours from the following science courses: | 8 | |

Introduction to Biological Anthropology and Introduction to Biological Anthropology Laboratory | ||

Survey of the Universe (ACTS Equivalency = PHSC 1204 Lecture) and Survey of the Universe Laboratory (ACTS Equivalency = PHSC 1204 Lab) | ||

Principles of Biology (ACTS Equivalency = BIOL 1014 Lecture) and Principles of Biology Laboratory (ACTS Equivalency = BIOL 1014 Lab) | ||

Principles of Zoology (ACTS Equivalency = BIOL 1054 Lecture) and Principles of Zoology Laboratory (ACTS Equivalency = BIOL 1054 Lab) | ||

Plant Biology (ACTS Equivalency = BIOL 1034 Lecture) and Plant Biology Laboratory (ACTS Equivalency = BIOL 1034 Lab) | ||

General Microbiology (ACTS Equivalency = BIOL 2004 Lecture) and General Microbiology Laboratory (ACTS Equivalency = BIOL 2004 Lab) | ||

University Chemistry I (ACTS Equivalency = CHEM 1414 Lecture) and University Chemistry I Laboratory (ACTS Equivalency = CHEM 1414 Lab) | ||

University Chemistry II (ACTS Equivalency = CHEM 1424 Lecture) and University Chemistry II Laboratory (ACTS Equivalency = CHEM 1424 Lab) | ||

General Geology (ACTS Equivalency = GEOL 1114 Lecture) and General Geology Laboratory (ACTS Equivalency = GEOL 1114 Lab) | ||

Earth Science (ACTS Equivalency = GEOL 1124 Lecture) and Earth Science Laboratory (ACTS Equivalency = GEOL 1124 Lab) | ||

University Physics I (ACTS Equivalency = PHYS 2034) | ||

University Physics II (ACTS Equivalency = PHYS 2044 Lecture) | ||

An approved course with substantial programming experience, typically satisfied by CSCE 2004. Other courses may be applied towards this requirement with prior departmental approval. | 3-4 | |

Completion of a minor other than in Mathematics or Statistics, completion of the UAteach curriculum, completion of an additional major or completion of the Four-Year Fulbright Honors Core for a Bachelor of Arts. Hours required will vary. | 15-30+ | |

Major Course Requirements | ||

MATH 2574 | Calculus III (ACTS Equivalency = MATH 2603) (MATH 2554 and MATH 2564 are prerequisites) | 4 |

MATH 2803 | Transition to Advanced Mathematics | 3 |

MATH 3093 | Abstract Linear Algebra | 3 |

MATH 3113 | Introduction to Abstract Algebra I | 3 |

MATH 3513 | Elementary Analysis | 3 |

MATH 4933 | Mathematics Major Seminar ( ) | 3 |

Twelve semester hours of courses in mathematics selected from MATH 2584, CSCE 4133 or MATH and STAT courses numbered at the 3000-level or higher. | 12 | |

The completion of a senior writing project under the direction of a faculty member. This is typically carried out in MATH 4933, or is satisfied by an honors thesis. | ||

It is recommended that MATH 2803 be taken as early as possible in the program. |

### Mathematics B.A.

### Eight-Semester Degree Program

Students wishing to follow the eight-semester degree plan should see the Eight-Semester Degree Policy 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.

First Year | Units | |
---|---|---|

Fall | Spring | |

ENGL 1013 Composition I (ACTS Equivalency = ENGL 1013) | 3 | |

MATH 2554 Calculus I (ACTS Equivalency = MATH 2405)^{1} | 4 | |

Fine Arts or humanities University/state core requirement | 3 | |

Social Science University/State Core requirement | 3 | |

General Elective or coursework to be applied towards minor (as needed) | 3 | |

ENGL 1023 Composition II (ACTS Equivalency = ENGL 1023) | 3 | |

MATH 2564 Calculus II (ACTS Equivalency = MATH 2505)^{1} | 4 | |

MATH 2803 Transition to Advanced Mathematics^{1} | 3 | |

General elective or coursework to be applied towards minor (as needed) | 4 | |

Year Total: | 16 | 14 |

Second Year | Units | |

Fall | Spring | |

MATH 2574 Calculus III (ACTS Equivalency = MATH 2603)^{1} | 4 | |

MATH 3093 Abstract Linear Algebra^{1,2} | 3 | |

Social science University/State Core requirement | 3 | |

U.S. History University/State Core requirement | 3 | |

General Elective or coursework to be applied towards minor (as needed) | 3 | |

CSCE 2004 Programming Foundations I | 4 | |

MATH/STAT Elective above 3000 level^{1,2} | 3 | |

Science University/State Core Lecture with Corequisite Lab requirement | 4 | |

Humanities or fine arts University/State Core requirement (as needed) | 3 | |

Year Total: | 16 | 14 |

Third Year | Units | |

Fall | Spring | |

MATH 3113 Introduction to Abstract Algebra I^{1,2} | 3 | |

Social Science University/State Core requirement | 3 | |

Science University/State Core Lecture with Corequisite Lab requirement | 4 | |

General Electives or coursework to be applied towards minor (as needed) | 6 | |

MATH 3513 Elementary Analysis^{1,2} | 3 | |

MATH/STAT Elective above 3000 Level^{1,2} | 3 | |

General Electives or coursework to be applied towards minor (as needed) | 9 | |

Year Total: | 16 | 15 |

Fourth Year | Units | |

Fall | Spring | |

MATH/STAT Elective Above 3000 level^{1,2} | 6 | |

General Elective or coursework to be applied towards minor (as needed) | 3 | |

3000-4000 Level Electives^{1} | 6 | |

MATH 4933 Mathematics Major Seminar^{1,2} | 3 | |

MATH/STAT Elective Above 3000 Level^{1,2} | 3 | |

General Electives As Needed | 8 | |

Year Total: | 15 | 14 |

Total Units in Sequence: | 120 |

^{1} | Meets 40-hour advanced credit hour requirement. See College Academic Regulations. |

^{2} | 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 a Major in Mathematics, B.S. Degree:**

Students must complete 120 degree credit hours to include the minimum University Core requirements, the Fulbright College of Arts and Sciences Graduation Requirements, and the following liberal arts and major course requirements. Bolded courses from the list below may be applied to portions of the University Core requirements.

Eight total hours from one of the following natural science sequences: | 8 | |

Biology: | ||

Principles of Biology (ACTS Equivalency = BIOL 1014 Lecture) and Principles of Biology Laboratory (ACTS Equivalency = BIOL 1014 Lab) | ||

and choose one of the following: | ||

Principles of Zoology (ACTS Equivalency = BIOL 1054 Lecture) and Principles of Zoology Laboratory (ACTS Equivalency = BIOL 1054 Lab) | ||

Plant Biology (ACTS Equivalency = BIOL 1034 Lecture) and Plant Biology Laboratory (ACTS Equivalency = BIOL 1034 Lab) | ||

General Microbiology (ACTS Equivalency = BIOL 2004 Lecture) and General Microbiology Laboratory (ACTS Equivalency = BIOL 2004 Lab) | ||

Chemistry: | ||

University Chemistry I (ACTS Equivalency = CHEM 1414 Lecture) and University Chemistry I Laboratory (ACTS Equivalency = CHEM 1414 Lab) | ||

and | ||

University Chemistry II (ACTS Equivalency = CHEM 1424 Lecture) and University Chemistry II Laboratory (ACTS Equivalency = CHEM 1424 Lab) | ||

Geology: | ||

General Geology (ACTS Equivalency = GEOL 1114 Lecture) and General Geology Laboratory (ACTS Equivalency = GEOL 1114 Lab) | ||

and | ||

Earth Science (ACTS Equivalency = GEOL 1124 Lecture) and Earth Science Laboratory (ACTS Equivalency = GEOL 1124 Lab) | ||

Physics: | ||

University Physics I (ACTS Equivalency = PHYS 2034) | ||

and | ||

University Physics II (ACTS Equivalency = PHYS 2044 Lecture) |

Completion of eight additional hours at the 3000-level or higher not in Mathematics or Statistics chosen with department approval, completion of the UAteach curriculum, or completion of the Fulbright Four Year Honors Core for a Bachelor of Science degree. (Hours required will vary.) | 8-30+ |

As a part of the requirements for a B.S. degree with a major in mathematics, the student must also complete the following 27 hours:

MATH 2574 | Calculus III (ACTS Equivalency = MATH 2603) | 4 |

MATH 2584 | Elementary Differential Equations | 4 |

MATH 2803 | Transition to Advanced Mathematics | 3 |

MATH 3093 | Abstract Linear Algebra | 3 |

MATH 3113 | Introduction to Abstract Algebra I | 3 |

MATH 4513 | Advanced Calculus I | 3 |

MATH 4933 | Mathematics Major Seminar | 3 |

CSCE 2004 | Programming Foundations I | 4 |

And the completion of a senior writing project under the direction of a faculty member. ^{1} | 3 | |

It is recommended that MATH 2803 be taken as early as possible in the program. |

^{1} | This is typically carried out in MATH 4933 or satisfied with an honors senior thesis. |

#### Concentration 1 (Applied)

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. Requirements:

STAT 3013 | Introduction to Probability | 3 |

or STAT 5103 | Introduction to Probability Theory | |

MATH 4423 | Introduction to Partial Differential Equations | 3 |

MATH 4353 | Numerical Linear Algebra | 3 |

MATH 4363 | Numerical Analysis | 3 |

Two MATH or STAT electives numbered 3000 or higher (students may also take CSCE 4133) | 6 | |

Total Hours | 18 |

### Mathematics, B.S., Concentration 1 (Applied)

### Eight-Semester Degree Program

Students wishing to follow the eight-semester degree plan should see the Eight-Semester Degree Policy 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.

First Year | Units | |
---|---|---|

Fall | Spring | |

ENGL 1013 Composition I (ACTS Equivalency = ENGL 1013) | 3 | |

MATH 2554 Calculus I (ACTS Equivalency = MATH 2405)^{1} | 4 | |

US History requirement | 3 | |

Social Science University/State Core requirement | 3 | |

General elective or coursework, as needed | 3 | |

ENGL 1023 Composition II (ACTS Equivalency = ENGL 1023) | 3 | |

MATH 2564 Calculus II (ACTS Equivalency = MATH 2505)^{1} | 4 | |

MATH 2803 Transition to Advanced Mathematics | 3 | |

Science University/State Core lecture with corequisite lab requirement | 4 | |

Year Total: | 16 | 14 |

Second Year | Units | |

Fall | Spring | |

MATH 2574 Calculus III (ACTS Equivalency = MATH 2603)^{1} | 4 | |

CSCE 2004 Programming Foundations I^{1} | 4 | |

Social Science University/State Core requirement | 3 | |

Science University/State Core lecture with corequisite lab requirement | 4 | |

MATH 2584 Elementary Differential Equations^{1,2} | 4 | |

MATH 3093 Abstract Linear Algebra^{1,2} | 3 | |

Social Science University/State Core requirement | 3 | |

Fine arts or humanities University/State core requirement, as needed | 3 | |

General Elective or coursework, as needed | 3 | |

Year Total: | 15 | 16 |

Third Year | Units | |

Fall | Spring | |

MATH 3113 Introduction to Abstract Algebra I^{1,2} | 3 | |

STAT 3013 Introduction to Probability^{1,2} | 3 | |

CSCE 2014 Programming Foundations II | 4 | |

General Electives or coursework, as needed | 4 | |

MATH 4423 Introduction to Partial Differential Equations^{1,2} | 3 | |

MATH 4353 Numerical Linear Algebra^{1,2} | 3 | |

Humanities or fine arts University/State Core requirement, as needed | 3 | |

General Electives or coursework, as needed | 6 | |

Year Total: | 14 | 15 |

Fourth Year | Units | |

Fall | Spring | |

MATH 4513 Advanced Calculus I^{1,2} | 3 | |

MATH 4363 Numerical Analysis^{1,2} | 3 | |

MATH or STAT Electives numbered 3000 or higher, or CSCE 4133 | 6 | |

General Electives or coursework, as needed | 3 | |

MATH 4933 Mathematics Major Seminar^{1,2} | 3 | |

General Electives or coursework, as needed to complete 120 degree credit hours | 12 | |

Year Total: | 15 | 15 |

Total Units in Sequence: | 120 |

^{1} | Meets 40-hour advanced credit hour requirement. See College Academic Regulations. |

^{2} | 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 a Major in Mathematics, B.S. Degree:**

Students must complete 120 degree credit hours to include the minimum University Core requirements, the Fulbright College of Arts and Sciences Graduation Requirements, and the following liberal arts and major course requirements. Bolded courses from the list below may be applied to portions of the University Core requirements.

Eight total hours from one of the following natural science sequences: | 8 | |

Biology: | ||

Principles of Biology (ACTS Equivalency = BIOL 1014 Lecture) and Principles of Biology Laboratory (ACTS Equivalency = BIOL 1014 Lab) | ||

and choose one of the following: | ||

Principles of Zoology (ACTS Equivalency = BIOL 1054 Lecture) and Principles of Zoology Laboratory (ACTS Equivalency = BIOL 1054 Lab) | ||

Plant Biology (ACTS Equivalency = BIOL 1034 Lecture) and Plant Biology Laboratory (ACTS Equivalency = BIOL 1034 Lab) | ||

General Microbiology (ACTS Equivalency = BIOL 2004 Lecture) and General Microbiology Laboratory (ACTS Equivalency = BIOL 2004 Lab) | ||

Chemistry: | ||

University Chemistry I (ACTS Equivalency = CHEM 1414 Lecture) and University Chemistry I Laboratory (ACTS Equivalency = CHEM 1414 Lab) | ||

and | ||

University Chemistry II (ACTS Equivalency = CHEM 1424 Lecture) and University Chemistry II Laboratory (ACTS Equivalency = CHEM 1424 Lab) | ||

Geology: | ||

General Geology (ACTS Equivalency = GEOL 1114 Lecture) and General Geology Laboratory (ACTS Equivalency = GEOL 1114 Lab) | ||

and | ||

Earth Science (ACTS Equivalency = GEOL 1124 Lecture) and Earth Science Laboratory (ACTS Equivalency = GEOL 1124 Lab) | ||

Physics: | ||

University Physics I (ACTS Equivalency = PHYS 2034) | ||

and | ||

University Physics II (ACTS Equivalency = PHYS 2044 Lecture) |

Completion of eight additional hours at the 3000-level or higher not in Mathematics or Statistics chosen with department approval, completion of the UAteach curriculum, or completion of the Fulbright Four Year Honors Core for a Bachelor of Science degree. (Hours required will vary.) | 8-30+ |

As a part of the requirements for a B.S. degree with a major in mathematics, the student must also complete the following 27 hours:

MATH 2574 | Calculus III (ACTS Equivalency = MATH 2603) | 4 |

MATH 2584 | Elementary Differential Equations | 4 |

MATH 2803 | Transition to Advanced Mathematics | 3 |

MATH 3093 | Abstract Linear Algebra | 3 |

MATH 3113 | Introduction to Abstract Algebra I | 3 |

MATH 4513 | Advanced Calculus I | 3 |

MATH 4933 | Mathematics Major Seminar | 3 |

CSCE 2004 | Programming Foundations I | 4 |

And the completion of a senior writing project under the direction of a faculty member. ^{1} | 3 | |

It is recommended that MATH 2803 be taken as early as possible in the program. |

^{1} | This is typically carried out in MATH 4933 or satisfied with an honors senior thesis. |

#### Concentration 2 (Pure)

A program for the student who is seeking a broad background in mathematics or who wishes to study mathematics at the graduate level. Requirements:

MATH 4113 | Introduction to Abstract Algebra II | 3 |

or MATH 4523 | Advanced Calculus II | |

MATH 4443 | Complex Variables | 3 |

Four MATH or STAT electives numbered 3000 or higher (students may also take CSCE 4133). | 12 | |

Total Hours | 18 |

### Mathematics, B.S., Concentration 2 (Pure)

### Eight-Semester Degree Program

Students wishing to follow the eight-semester degree plan should see the Eight-Semester Degree Policy 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.

First Year | Units | |
---|---|---|

Fall | Spring | |

ENGL 1013 Composition I (ACTS Equivalency = ENGL 1013) | 3 | |

MATH 2554 Calculus I (ACTS Equivalency = MATH 2405)^{1} | 4 | |

Science University/State Core lecture with corequisite lab requirement | 4 | |

Social Science University/State Core requirement | 3 | |

ENGL 1023 Composition II (ACTS Equivalency = ENGL 1023) | 3 | |

MATH 2564 Calculus II (ACTS Equivalency = MATH 2505)^{1} | 4 | |

MATH 2803 Transition to Advanced Mathematics^{1} | 3 | |

Science University/State Core lecture with corequisite lab requirement | 4 | |

Year Total: | 14 | 14 |

Second Year | Units | |

Fall | Spring | |

MATH 2574 Calculus III (ACTS Equivalency = MATH 2603)^{1} | 4 | |

MATH 3093 Abstract Linear Algebra^{1,2} | 3 | |

U.S. History University/State Core requirement | 3 | |

Fine arts or humanities University/State Core requirement, as needed | 3 | |

General elective or coursework, as needed | 3 | |

MATH 2584 Elementary Differential Equations^{1,2} | 4 | |

MATH or STAT Elective numbered 3000 or higher^{1,2} | 3 | |

CSCE 2004 Programming Foundations I | 4 | |

General elective or coursework, as needed | 4 | |

Year Total: | 16 | 15 |

Third Year | Units | |

Fall | Spring | |

MATH 3113 Introduction to Abstract Algebra I^{1,2} | 3 | |

MATH or STAT Elective numbered 3000 or higher^{1,2} | 3 | |

Humanities or fine arts University/State Core requirement, as needed | 3 | |

General Electives or coursework, as needed | 6 | |

MATH 4113 Introduction to Abstract Algebra II (Or MATH/STAT 3000+ if taking MATH 4523)^{1,2} | 3 | |

MATH or STAT Elective numbered 3000 or higher^{1,2} | 3 | |

Social Science University/State Core requirement | 3 | |

General Electives or coursework, as needed | 6 | |

Year Total: | 15 | 15 |

Fourth Year | Units | |

Fall | Spring | |

MATH 4443 Complex Variables^{1,2} | 3 | |

MATH 4513 Advanced Calculus I^{1,2} | 3 | |

Social Science University/State Core requirement | 3 | |

General Electives or coursework, as needed | 6 | |

MATH 4933 Mathematics Major Seminar^{1,2} | 3 | |

MATH 4523 Advanced Calculus II (Or MATH/STAT 3000+ if taking MATH 4113)^{1,2} | 3 | |

General Electives or coursework, as needed to meet 120-hour requirement | 10 | |

Year Total: | 15 | 16 |

Total Units in Sequence: | 120 |

^{1} | Meets 40-hour advanced credit hour requirement. See College Academic Regulations of this chapter. |

^{2} | 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 of this chapter. |

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

Students must complete 120 degree credit hours to include the minimum University Core requirements, the Fulbright College of Arts and Sciences Graduation Requirements, and the following liberal arts and major course requirements. Bolded courses from the list below may be applied to portions of the University Core requirements.

Eight total hours from one of the following natural science sequences: | 8 | |

Biology: | ||

Principles of Biology (ACTS Equivalency = BIOL 1014 Lecture) and Principles of Biology Laboratory (ACTS Equivalency = BIOL 1014 Lab) | ||

and choose one of the following: | ||

Principles of Zoology (ACTS Equivalency = BIOL 1054 Lecture) and Principles of Zoology Laboratory (ACTS Equivalency = BIOL 1054 Lab) | ||

Plant Biology (ACTS Equivalency = BIOL 1034 Lecture) and Plant Biology Laboratory (ACTS Equivalency = BIOL 1034 Lab) | ||

General Microbiology (ACTS Equivalency = BIOL 2004 Lecture) and General Microbiology Laboratory (ACTS Equivalency = BIOL 2004 Lab) | ||

Chemistry: | ||

University Chemistry I (ACTS Equivalency = CHEM 1414 Lecture) and University Chemistry I Laboratory (ACTS Equivalency = CHEM 1414 Lab) | ||

and | ||

University Chemistry II (ACTS Equivalency = CHEM 1424 Lecture) and University Chemistry II Laboratory (ACTS Equivalency = CHEM 1424 Lab) | ||

Geology: | ||

General Geology (ACTS Equivalency = GEOL 1114 Lecture) and General Geology Laboratory (ACTS Equivalency = GEOL 1114 Lab) | ||

and | ||

Earth Science (ACTS Equivalency = GEOL 1124 Lecture) and Earth Science Laboratory (ACTS Equivalency = GEOL 1124 Lab) | ||

Physics: | ||

University Physics I (ACTS Equivalency = PHYS 2034) | ||

and | ||

University Physics II (ACTS Equivalency = PHYS 2044 Lecture) |

Completion of eight additional hours at the 3000-level or higher not in Mathematics or Statistics chosen with department approval, completion of the UAteach curriculum, or completion of the Fulbright Four Year Honors Core for a Bachelor of Science degree. (Hours required will vary.) | 8-30+ |

As a part of the requirements for a B.S. degree with a major in mathematics, the student must also complete the following 27 hours:

MATH 2574 | Calculus III (ACTS Equivalency = MATH 2603) | 4 |

MATH 2584 | Elementary Differential Equations | 4 |

MATH 2803 | Transition to Advanced Mathematics | 3 |

MATH 3093 | Abstract Linear Algebra | 3 |

MATH 3113 | Introduction to Abstract Algebra I | 3 |

MATH 4513 | Advanced Calculus I | 3 |

MATH 4933 | Mathematics Major Seminar | 3 |

CSCE 2004 | Programming Foundations I | 4 |

And the completion of a senior writing project under the direction of a faculty member. ^{1} | 3 | |

It is recommended that MATH 2803 be taken as early as possible in the program. |

^{1} | This is typically carried out in MATH 4933 or satisfied with an honors senior thesis. |

#### Concentration 3 (Statistics)

A program for the student who wishes to emphasize statistics or who intends to study statistics at the graduate level. Requirements:

MATH 4353 | Numerical Linear Algebra | 3 |

STAT 3013 | Introduction to Probability | 3 |

or STAT 5103 | Introduction to Probability Theory | |

STAT 4003 | Statistical Methods | 3 |

STAT 4001L | Statistics Methods Laboratory | 1 |

or STAT 4101L | Introduction to R | |

STAT 4033 | Nonparametric Statistical Methods | 3 |

Two MATH or STAT electives numbered 3000 or higher (students may also take CSCE 4133). | 6 | |

Total Hours | 19 |

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.

### Mathematics, B.S., Concentration 3 (Statistics)

### Eight-Semester Degree Program

Students wishing to follow the eight-semester degree plan should see the Eight-Semester Degree Policy 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.

First Year | Units | |
---|---|---|

Fall | Spring | |

ENGL 1013 Composition I (ACTS Equivalency = ENGL 1013) | 3 | |

MATH 2554 Calculus I (ACTS Equivalency = MATH 2405)^{1} | 4 | |

Science University/State Core lecture with corequisite lab requirement | 4 | |

Social Science University/State Core requirement | 3 | |

ENGL 1023 Composition II (ACTS Equivalency = ENGL 1023) | 3 | |

MATH 2564 Calculus II (ACTS Equivalency = MATH 2505)^{1} | 4 | |

MATH 2803 Transition to Advanced Mathematics^{1} | 3 | |

Science University/State Core lecture w/ corequisite lab requirement | 4 | |

Year Total: | 14 | 14 |

Second Year | Units | |

Fall | Spring | |

MATH 2574 Calculus III (ACTS Equivalency = MATH 2603)^{1} | 4 | |

MATH 3093 Abstract Linear Algebra^{1,2} | 3 | |

CSCE 2004 Programming Foundations I | 4 | |

General elective or coursework, as needed | 4 | |

MATH 2584 Elementary Differential Equations^{1,2} | 4 | |

STAT 3013 Introduction to Probability^{1,2} | 3 | |

U.S. History University/State Core requirement | 3 | |

Fine Arts or Humanities University/State Core requirement, as needed | 3 | |

General elective or coursework, as needed | 3 | |

Year Total: | 15 | 16 |

Third Year | Units | |

Fall | Spring | |

MATH 3113 Introduction to Abstract Algebra I^{1,2} | 3 | |

STAT 4001L Statistics Methods Laboratory or STAT 4101L Introduction to R | 1 | |

STAT 4003 Statistical Methods^{1,2} | 3 | |

Social Science University/State Core requirement | 3 | |

General Electives or coursework, as needed | 6 | |

MATH 4353 Numerical Linear Algebra^{1,2} | 3 | |

MATH or STAT Elective numbered 3000 or higher.^{1,2} | 3 | |

Social Science University/State Core requirement | 3 | |

General Electives or coursework, as needed | 6 | |

Year Total: | 16 | 15 |

Fourth Year | Units | |

Fall | Spring | |

MATH 4513 Advanced Calculus I^{1,2} | 3 | |

STAT 4033 Nonparametric Statistical Methods^{1,2} | 3 | |

Humanities or Fine Arts University/State Core requirement, as needed | 3 | |

General Electives or coursework to be applied towards minor, as needed | 6 | |

MATH 4933 Mathematics Major Seminar^{1,2} | 3 | |

MATH or STAT Elective numbered 3000 or higher^{1,2} | 3 | |

General Electives or coursework, as needed to meet 120 hour requirement | 9 | |

Year Total: | 15 | 15 |

Total Units in Sequence: | 120 |

**Requirements for a Minor in Mathematics:**

MATH 2564 | Calculus II (ACTS Equivalency = MATH 2505) | 4 |

MATH 2603 | Discrete Mathematics | 3 |

or MATH 2803 | Transition to Advanced Mathematics | |

or MATH 4423 | Introduction to Partial Differential Equations | |

3 courses selected from the following: | 9-12 | |

Calculus III (ACTS Equivalency = MATH 2603) | ||

Elementary Differential Equations | ||

Introduction to Probability | ||

Any MATH Courses at the 3000-level or higher. | ||

Total Hours | 16-19 |

**Requirements for a Minor in Statistics:**

Coursework used toward the mathematics major may not be applied toward a statistics minor.

MATH 2554 | Calculus I (ACTS Equivalency = MATH 2405) | 4 |

12 hours of STAT courses, including 9 hours in courses numbered 3000 and above. | 12 | |

Total Hours | 16 |

**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 CSCE 2004 and all 2000-level or higher MATH/STAT courses required for the degree. In addition, a grade of “D” or “F” in any other course offered by the department disqualifies a student for honors.

Candidates must take 2-4 hours of MATH 499VH at least one semester before the student's graduating semester. This course will require significant progress toward an honors thesis to be presented and defended before the student’s honors committee. The quality of this paper and its defense, along with the execution of the rest of the student’s honors program and overall academic performance, will be used in determining the distinction between Honors and High Honors.

**Mathematics (B.A. or B.S.) Teacher Licensure Requirements:**

Please refer to the Secondary Education Requirements for Fulbright College Students. Students wishing to pursue licensure through the UAteach undergraduate curriculum should consult with a UAteach adviser, uteach@uark.edu.

Students wanting to teach mathematics in middle school should consult with a middle level adviser in the College of Education and Health Professions.

### Faculty

**Akeroyd, John R.,** Ph.D., M.A. (Indiana University at Bloomington), B.A. (University of Louisville), Professor, 1986.**Arnold, Mark E.,** Ph.D., B.S. (Northern Illinois University), A.S. (Rock Valley College), Associate Professor, 1993.**Barton, Ariel,** Ph.D., M.S. (University of Chicago), B.S. (Harvey Mudd College), Assistant Professor, 2016.**Brewer, Dennis W.,** Ph.D., M.A. (University of Wisconsin), B.A. (Sterling College), Professor, 1975.**Chakraborty, Avishek,** Ph.D (Duke University), M.S., B.S. (Indian Statistical Institute), Assistant Professor, 2014.**Clay, Matt,** Ph.D., M.S. (University of Utah), B.S. (University of Oregon), Associate Professor, 2012.**Cleaveland, Lynn L.,** Ed.D. (University of Arkansas), M.S. (Clemson University), Instructor, 1997.**Crisel, Brandon L.,** M.S., B.S. (Arkansas State University), Instructor, 2009.**Datta, Jyotishka,** Ph.D. (Purdue University), M.Stat., B.Stat. (Indian Statistical Institute, Kolkata, India), Assistant Professor, 2016.**Day, Matthew B.,** Ph.D., M.S. (University of Chicago), B.S. (University of Texas), Associate Professor, 2011.**Dickerson, Elizabeth B.,** B.S. (Mississippi State University), Lecturer, 2013.**Dingman, Shannon Wayne,** Ph.D., M.S. (University of Missouri-Columbia), M.S. (Pittsburg State University), Associate Professor, 2007.**Feldman, William A.,** Ph.D. (Queen’s University), M.S. (Northwestern University), B.S. (Tufts University), Professor, 1971.**Fincher, Samuel Mack Edwin,** M.S. (University of Arkansas), B.S. (University of the Ozarks), Instructor, 2009.**Gastineau, Jana M.,** M.S., M.A., B.S. (Arkansas State University), Instructor, 2011.**Girshner, Joshua M.,** M.A., B.A. (University of Arkansas), Instructor, 2012.**Goodman-Strauss, Chaim,** Ph.D., B.S. (University of Texas at Austin), Professor, 1994.**Harrington, Phil,** Ph.D., M.S. (University of Notre Dame), B.S. (Whitworth College), Associate Professor, 2009.**Harriss, Edmund O.,** Ph.D. (Imperial College, London), M.M. (University of Warwick), Clinical Assistant Professor, 2010.**Johnson, Mark,** Ph.D. (Michigan State University), M.S. (Purdue University), B.S. (City University of New York, Brooklyn College), Professor, 1995.**Luecking, Daniel H.,** Ph.D., M.S., B.A. (University of Illinois-Urbana-Champaign), Professor, 1981.**Mantero, Paolo,** Ph.D. (Purdue University), M.Sc., B.Sc. (University of Genova, Italy), Assistant Professor, 2015.**Miller, Lance E.,** Ph.D., Ph.D. (University of Connecticut), M.S. (New Mexico State University), Assistant Professor, 2013.**Niu, Wenbo,** Ph.D. (University of Illinois at Chicago), M.S., B.S. (Fudan University, China), Assistant Professor, 2015.**Petris, Giovanni,** Ph.D., M.S. (Duke University), B.S. (Universita degli Studi di Milano, Italy), Professor, 1999.**Price, Heather Arielle,** M.S., B.S. (University of Arkansas), Lecturer, 2006.**Raich, Andrew Seth,** Ph.D., M.A. (University of Wisconsin-Madison), B.A. (Williams College), Associate Professor, 2008.**Rieck, Yo'av,** Ph.D. (University of Texas at Austin), B.A. (Israel Institute of Technology), Professor, 2000.**Ryan, John,** Ph.D. (University of York), M.Sc. (University of Warwick), B.A. (University of York, Britain), Professor, 1990.**Stephenson, Barbara C.,** M.S. (West Virginia University), Instructor, 2004.**Tjani, Maria,** Ph.D. (Michigan State University), M.S. (Purdue University), B.S. (University of Ioannina, Greece), Associate Professor, 2003.**Van Horn-Morris, Jeremy,** Ph.D. (University of Texas at Austin), B.S. (University of Oregon), Assistant Professor, 2012.**Woodland, Janet C.,** Ph.D., M.A. (State University of New York at Stony Brook), B.A. (King's College), Clinical Assistant Professor, 1993.**Zhang, Qingyang,** Ph.D. (Northwestern University), M.S. (Loyola University–Chicago), B.S. (Beijing Normal University), Assistant Professor, 2015.

### Courses

**MATH 0001L. College Algebra Laboratory I. 1 Hour.**

This course provides additional support and instruction for students enrolled in MATH 1203 who are required to take it based on the placement requirements stipulated for that course. Credit earned in this course will not be applied to the total hours required for a degree. One lab hour.

**MATH 0002L. College Algebra Laboratory II. 2 Hours.**

This course provides additional support and instruction for students enrolled in MATH 1203 who are required to take it based on the placement requirements stipulated for that course. Credit earned in this course will not be applied to the total hours required for a degree. Two lab hours.

**MATH 0131L. Quantitative Reasoning Laboratory. 1 Hour.**

This course provides additional support and instruction for students enrolled in MATH 1313 who are required to take it based on the placement requirements stipulated for that course. Credit earned in this course will not be applied to the total hours required for a degree. One lab hour.

**MATH 1203. College Algebra (ACTS Equivalency = MATH 1103). 3 Hours.**

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.Prerequisite: 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 570 on the math component of the new SAT or 540 on the math component of the old SAT. Students who score at least 70% on the University of Arkansas Preparedness for Algebra exam, or at least 19 on the math component of the ACT exam, or at least 510 on the math component of the new SAT or 460 on the math component of the old SAT must also register for MATH 0001L as a corequisite. Students who score below 70% on the University of Arkansas Preparedness for Algebra exam, or below 19 on the math component of the ACT exam, or below 510 on the math component of the new SAT or below 460 on the math component of the old SAT must also register for MATH 0002L as a corequisite.

**MATH 1204. College Algebra with Review (ACTS Equivalency = MATH 1103). 4 Hours.**

Same as MATH 1203 with additional support, increased class time, additional review, and computerized lab component. Prerequisite: MATH 0003 with a grade of D 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 old SAT or 500 on the math component of the new SAT.

This course is equivalent to MATH 1203.

**MATH 1213. Plane Trigonometry (ACTS Equivalency = MATH 1203). 3 Hours.**

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. 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 old SAT or 620 on the math component of the new SAT.

**MATH 1284C. Precalculus Mathematics (ACTS Equivalency = MATH 1305). 4 Hours.**

Topics in algebra and trigonometry. To be taken by students who expect to take MATH 2554. Corequisite: Drill 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 old SAT or 620 on the math component of the new SAT.

**MATH 1313. Quantitative Reasoning (ACTS Equivalency = MATH 1113). 3 Hours.**

Reasoning about quantitative information, and the use of mathematical tools and models as citizens, consumers, entrepreneurs and employees in today's complex technological society. Topics include modeling with functions; quantity, measurement and indices; finance; counting, probability, odds and risk.Prerequisite: 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 510 on the math component of the new SAT or 460 on the math component of the old SAT. Students who score below 70% on the University of Arkansas Preparedness for Algebra exam, or below 19 on the math component of the ACT exam, or below 510 on the math component of the new SAT or below 460 on the math component of the old SAT must also register for MATH 0131L as a corequisite.

**MATH 1514. Calculus with Algebra and Trigonometry I. 4 Hours.**

Topics in algebra, trigonometry and precalculus are integrated with elementary differential calculus. Part of a two semester sequence with MATH 2514; these two courses together are equivalent to MATH 1284C and MATH 2554C. MATH 1514 BY ITSELF NOT EQUIVALENT TO EITHER MATH 1284C OR MATH 2554C. This course must be taken with MATH 2514. Intended for students who place into MATH 1284C, but who would profit from an earlier exposure to calculus concepts. Closed to students with credit for MATH 2554C. 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 old SAT or 620 on the math component of the new SAT.

**MATH 2031M. Honors Mathematical Thought Lab. 1 Hour.**

Supplemental honors laboratory for MATH 2033, Mathematical Thought. Pre- or Corequisite: MATH 2033. Prerequisite: Honors standing or departmental consent.

**MATH 2033. Mathematical Thought. 3 Hours.**

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 old SAT or 620 on the math component of the new SAT.

**MATH 2043. Survey of Calculus (ACTS Equivalency = MATH 2203). 3 Hours.**

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 old SAT or 620 on the math component of the new SAT.

**MATH 2043C. Survey of Calculus. 3 Hours.**

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 old SAT or 620 on the math component of the new SAT.

This course is equivalent to MATH 2043.

**MATH 2053. Finite Mathematics. 3 Hours.**

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 old SAT or 620 on the math component of the new SAT.

**MATH 2053C. Finite Mathematics. 3 Hours.**

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 old SAT or 620 on the math component of the new SAT.

This course is equivalent to MATH 2053.

**MATH 2183. Mathematical Reasoning in a Quantitative World. 3 Hours.**

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, MATH 1204, or MATH 1313, 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 old SAT or 620 on the math component of the new SAT.

**MATH 2213. Survey of Mathematical Structures I. 3 Hours.**

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, 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 old SAT or 620 on the math component of the new SAT.

**MATH 2223. Survey of Mathematical Structures II. 3 Hours.**

Geometry and measurement, and statistics and probability. Prerequisite: A grade of C or better in MATH 2213.

**MATH 2445. Calculus I with Review. 5 Hours.**

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 2445, MATH 2554 or 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 70% on the University of Arkansas Preparedness for Calculus Exam, or a score of at least 28 on the math component of the ACT exam, or a score of at least 640 on the math component of the old SAT or 660 on the math component of the new SAT, or a score of at least 2 on the Calculus AB or BC Advanced Placement Exam.

This course is equivalent to MATH 2554.

**MATH 2514. Calculus with Algebra and Trigonometry II. 4 Hours.**

Continuation of MATH 1514. Topics in algebra, trigonometry and precalculus are integrated with elementary differential and integral calculus. Completion of MATH 1514 and MATH 2514 is equivalent to completion of MATH 1284C and MATH 2554C. This course is meant exclusively for students who have previously taken MATH 1514. MATH 2514 BY ITSELF NOT EQUIVALENT TO EITHER MATH 1284C OR MATH 2554C. Closed to students with credit for MATH 2554C. Prerequisite: MATH 1514 with a grade of C or better.

**MATH 2554. Calculus I (ACTS Equivalency = MATH 2405). 4 Hours.**

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 28 on the math component of the ACT exam, or a score of at least 640 on the math component of the old SAT or 660 on the math component of the new SAT, or a score of at least 2 on the Calculus AB or BC Advanced Placement Exam.

**MATH 2554C. Calculus I (ACTS Equivalency = MATH 2405). 4 Hours.**

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 28 on the math component of the ACT exam, or a score of at least 640 on the math component of the old SAT or 660 on the math component of the new SAT, or a score of at least 2 on the Calculus AB or BC Advanced Placement Exam.

This course is equivalent to MATH 2554.

**MATH 2554H. Honors Calculus I. 4 Hours.**

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 old SAT or 710 on the math component of the new SAT.

This course is equivalent to MATH 2554.

**MATH 2564. Calculus II (ACTS Equivalency = MATH 2505). 4 Hours.**

Integral calculus of one variable and infinite series. Prerequisite: MATH 2554 with a grade of C or better.

**MATH 2564C. Calculus II. 4 Hours.**

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.

This course is equivalent to MATH 2564.

**MATH 2564H. Honors Calculus II. 4 Hours.**

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.

This course is equivalent to MATH 2564.

**MATH 2574. Calculus III (ACTS Equivalency = MATH 2603). 4 Hours.**

Differential and integral calculus of several variables, and vector calculus. Prerequisite: MATH 2564 with a grade of C or better.

**MATH 2574C. Calculus III. 4 Hours.**

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.

This course is equivalent to MATH 2574.

**MATH 2574H. Honors Calculus III. 4 Hours.**

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.

This course is equivalent to MATH 2574.

**MATH 2584. Elementary Differential Equations. 4 Hours.**

First and second order ordinary differential equations, the Laplace transform, and matrix systems of ordinary differential equations. Prerequisite: MATH 2564 or MATH 2564C with a grade of C or better.

**MATH 2584C. Elementary Differential Equations. 4 Hours.**

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 or MATH 2564C with a grade C or better.

This course is equivalent to MATH 2584.

**MATH 2584H. Honors Elementary Differential Equations. 4 Hours.**

Topics in ordinary differential equations, systems of differential equations and the Laplace transform presented with an emphasis on modeling. 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.

This course is equivalent to MATH 2584.

**MATH 2603. Discrete Mathematics. 3 Hours.**

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.

**MATH 2603C. Discrete Mathematics. 3 Hours.**

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.

This course is equivalent to MATH 2603.

**MATH 2701. Survey of Higher Math. 1 Hour.**

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.

**MATH 2803. Transition to Advanced Mathematics. 3 Hours.**

An introduction to concepts encountered in advanced mathematics. Emphasis is placed on developing the student's problem solving skills and ability to correctly communicate abstract concepts. Topics to include set theory, logic, relations, functions and mathematical induction presented in the context of intriguing mathematical problems. Pre- or Corequisite: MATH 2554 or MATH 2554C.

**MATH 2903. Functions, Foundations and Models. 3 Hours.**

An in-depth study of topics from secondary school mathematics, emphasizing the development of the concept function, function patterns in data sets, connections among the main topics associated with a secondary school curriculum, and the appropriate use of technology. Pre-or Corequisite: MATH 2564 or MATH 2564C.

**MATH 3013. Introduction to Probability. 3 Hours.**

A calculus-based introduction to probability. Discrete probability spaces and counting techniques, discrete and continuous probability distributions, random variables, random samples, law of large numbers, central limit theorem.Prerequisite: MATH 2564 or MATH 2564C.

This course is cross-listed with STAT 3013.

**MATH 3083. Linear Algebra. 3 Hours.**

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.

**MATH 3093. Abstract Linear Algebra. 3 Hours.**

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 2564 with a C or better. Prerequisite: MATH 2803 with a C or better.

**MATH 3103. Combinatorial and Discrete Mathematics. 3 Hours.**

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 or MATH 2803.

**MATH 3113. Introduction to Abstract Algebra I. 3 Hours.**

Introduction to algebraic structures with emphasis on rigorous justification of results. Prerequisite: MATH 2803 with a grade of C or better; and MATH 3083 or MATH 3093 with a grade of C or better.

**MATH 3133. History of Mathematics. 3 Hours.**

Survey of the development of mathematical ideas from the ancient to the modern times. Prerequisite: MATH 2554, and MATH 2603 or MATH 2803, both with a grade of C or better.

**MATH 3203. Number Theory. 3 Hours.**

Topics in elementary number theory. Prerequisite: MATH 2554, and MATH 2603 or MATH 2803, both with a grade of C or better.

**MATH 3513. Elementary Analysis. 3 Hours.**

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. Only one of MATH 3513 and MATH 4513 may be counted for credit toward the major. Prerequisite: A grade of C or better in each of MATH 2554 or MATH 2554C, MATH 2564 or MATH 2564C, MATH 2574 or MATH 2574C, MATH 3083 or MATH 3093, and MATH 2803.

**MATH 3773. Foundations of Geometry I. 3 Hours.**

Axiomatic method; Euclidean geometry; non-Euclidean geometry. Prerequisite: MATH 2554, and MATH 2603 or MATH 2803, each with a grade of C or better.

**MATH 3923H. Honors Colloquium. 3 Hours.**

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 degree credit.

**MATH 399VH. Honors Mathematics Course. 1-6 Hour.**

Honors mathematics course. Prerequisite: Departmental consent. May be repeated for up to 12 hours of degree credit.

**MATH 400V. Directed Readings. 1-7 Hour.**

Directed readings. Prerequisite: Departmental consent. May be repeated for up to 7 hours of degree credit.

**MATH 404V. Classroom Practices in Mathematics. 1-3 Hour.**

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.

**MATH 405V. Internship in Professional Practice. 1-3 Hour.**

Professional work experience involving significant use of mathematics or statistics in business, industry or government. Prerequisite: Departmental consent. May be repeated for up to 3 hours of degree credit.

**MATH 4103. Advanced Linear Algebra. 3 Hours.**

Linear functionals, matrix representation of linear transformations, scalar product, and spectral representation of linear transformations. Prerequisite: MATH 3083 or MATH 3093.

**MATH 4113. Introduction to Abstract Algebra II. 3 Hours.**

Topics in abstract algebra including finite abelian groups, linear groups, factorization in commutative rings and Galois theory. Prerequisite: MATH 3113.

**MATH 4153. Mathematical Modeling. 3 Hours.**

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.

**MATH 4163. Dynamic Models in Biology. 3 Hours.**

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.

This course is cross-listed with BIOL 4163.

**MATH 4173. Mathematical CAM Design. 3 Hours.**

Mathematical and computational techniques for Computer aided manufacturing. Applying linear algebra to model 3d space, representation of curves and surfaces in 3d models, converting between smooth and discrete approximations of curves, algorithms to create surfaces from machine toolpaths, inverse kinematics, basic G-Code programming. Prerequisite: MATH 2574 or MATH 2574C.

**MATH 4253. Symbolic Logic I. 3 Hours.**

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, MATH 2803, or PHIL 2203.

This course is cross-listed with PHIL 4253.

**MATH 4303. Ordinary Differential Equations. 3 Hours.**

Existence, uniqueness, stability, qualitative behavior, and numerical solutions. Prerequisite: MATH 2584 and (MATH 4513 or MATH 3513).

**MATH 4353. Numerical Linear Algebra. 3 Hours.**

Numerical methods for problems of linear algebra, including the solution of very large systems, eigenvalues, and eigenvectors. Prerequisite: MATH 3083 or MATH 3093.

**MATH 4363. Numerical Analysis. 3 Hours.**

General iterative techniques, error analysis, root finding, interpolation, approximation, numerical integration, and numerical solution of differential equations. Prerequisite: MATH 2584.

**MATH 4423. Introduction to Partial Differential Equations. 3 Hours.**

Matrices, Fourier analysis, and partial differential equations. Prerequisite: MATH 2584 or MATH 2584C with a grade of C or better.

**MATH 4443. Complex Variables. 3 Hours.**

Complex analysis, series, and conformal mapping. Additional applications for graduate credit. Prerequisite: MATH 2603 or MATH 2803, and MATH 2584 or MATH 2584C.

**MATH 4503. Differential Geometry. 3 Hours.**

Topics include: classical differential geometry of curves and surfaces in 3-space, differential forms and vector fields. Prerequisite: MATH 2574 or MATH 2574C.

**MATH 4513. Advanced Calculus I. 3 Hours.**

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. Only one of MATH 3513 and MATH 4513 may be counted for credit toward the major. Prerequisite: MATH 2574, MATH 2803 and MATH 3083 or MATH 3093.

**MATH 4523. Advanced Calculus II. 3 Hours.**

The Riemann-Stieltjes integral, uniform convergence of functions, Fourier series, implicit function theorem, Jacobians, and derivatives of higher order. Prerequisite: MATH 4513.

**MATH 4703. Introduction to Point-Set Topology. 3 Hours.**

A study of topological spaces including continuous transformations, connectedness and compactness. Prerequisite: MATH 4513.

**MATH 4933. Mathematics Major Seminar. 3 Hours.**

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.

**MATH 498V. Senior Thesis. 1-6 Hour.**

Senior thesis.

**MATH 499V. Research Topics in Mathematics. 1-3 Hour.**

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.

**MATH 499VH. Honors Research Topics in Mathematics. 1-3 Hour.**

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.

This course is equivalent to MATH 499V.