## Mathematics - Undergraduate Programs

**Academic Advising: 406 Pickard Hall · 817-272-0939**

## Bachelor's Degrees in Mathematics

The Department of Mathematics offers programs leading to the Bachelor of Science Degree in Mathematics and the Bachelor of Arts Degree in Mathematics. The Bachelor of Science degree may also be acquired with the explicit addition of one of these options: actuarial science, applied mathematics, pure mathematics, statistics, or secondary teaching certification.

The Bachelor of Science pure math option is primarily intended for students wishing to pursue graduate work in mathematics. The applied mathematics option is aimed at students seeking careers as mathematicians in the emerging high-tech industries. The actuarial science option is intended for students with an interest in a career involving various applications of mathematics to the world of business. The option with secondary teaching certification is intended for students desiring to teach mathematics at the secondary school level, and is offered in coordination with UT Arlington's UTeach program. The Bachelor of Arts degree is intended for those students seeking a traditional liberal arts education with an emphasis on mathematics.

All students seeking a bachelor's degree in mathematics must take at least two mathematics sequences. A sequence is defined as a 3300-level course followed by a 4300-level course in the same general area of mathematics. Each of the two sequences must build from distinct 3300-level courses. The approved sequences are as follows:

MATH 3313 & MATH 4311 | INTRODUCTION TO PROBABILITY and STOCHASTIC MODELS AND SIMULATION | 6 |

or STATS 3313 & STATS 4311 | INTRODUCTION TO PROBABILITY and STOCHASTIC MODELS AND SIMULATION | |

MATH 3313 & MATH 4312 | INTRODUCTION TO PROBABILITY and ACTUARIAL RISK ANALYSIS | 6 |

or STATS 3313 & MATH 4312 | INTRODUCTION TO PROBABILITY and ACTUARIAL RISK ANALYSIS | |

MATH 3313 & MATH 4313 | INTRODUCTION TO PROBABILITY and MATHEMATICAL STATISTICS | 6 |

or STATS 3313 & STATS 4313 | INTRODUCTION TO PROBABILITY and MATHEMATICAL STATISTICS | |

MATH 3321 & MATH 4321 | ABSTRACT ALGEBRA I and ABSTRACT ALGEBRA II | 6 |

MATH 3335 & MATH 4303 | ANALYSIS I and INTRODUCTION TO TOPOLOGY | 6 |

MATH 3335 & MATH 4334 | ANALYSIS I and ADVANCED MULTIVARIABLE CALCULUS | 6 |

MATH 3335 & MATH 4335 | ANALYSIS I and ANALYSIS II | 6 |

MATH 3345 & MATH 4345 | NUMERICAL ANALYSIS AND COMPUTER APPLICATIONS and NUMERICAL ANALYSIS & COMPUTER APPLICATIONS II | 6 |

MATH 3314 & MATH 4314 | DISCRETE MATHEMATICS and ADVANCED DISCRETE MATHEMATICS | 6 |

MATH 3318 & MATH 4324 | DIFFERENTIAL EQUATIONS and INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS | 6 |

It is strongly recommended that mathematics majors take MATH 3330 and MATH 3300 as early as possible, since these courses are prerequisites for many other 3000/4000-level courses. It is suggested to take MATH 3330 simultaneously with Calculus III. Mathematics majors must pass MATH 3300 before attempting the required courses MATH 3321 and MATH 3335. It is strongly recommended that mathematics majors with little or no computer programming experience satisfy the computer programming requirement as early as possible with CSE 1310 INTRODUCTION TO COMPUTERS & PROGRAMMING, CSE 1311, CSE 1320, CSE 1325 OBJECT-ORIENTED PROGRAMMING, or MAE 2360 NUMERICAL ANALYSIS & PROGRAMMING.

## Teacher Certification

Students interested in earning a Bachelor of Science degree with a major in mathematics with secondary teacher certification should refer to the “Bachelor of Science in Mathematics with Secondary Teaching Certification” degree plan for teacher certification requirements. Students should also see an advisor in the UTeach Arlington department.

## Second Major

A student who satisfies the requirements for any other baccalaureate degree qualifies for having mathematics named as a second major upon completion of **nine** mathematics courses at 3000/4000 level (except for capstone mathematics courses specifically for prospective middle or secondary grades mathematics teachers). The following courses are required:

MATH 3300 | INTRODUCTION TO PROOFS | 3 |

MATH 3330 | INTRODUCTION TO LINEAR ALGEBRA AND VECTOR SPACES | 3 |

MATH 3321 | ABSTRACT ALGEBRA I | 3 |

MATH 3335 | ANALYSIS I | 3 |

Select one of the following: | 3 | |

ABSTRACT ALGEBRA II | ||

ANALYSIS II | ||

ADVANCED MULTIVARIABLE CALCULUS |

Besides the sequence MATH 3321-MATH 4321 or the sequence MATH 3335 and (MATH 4335 or MATH 4334), a second sequence must be part of the second major. The GPA requirements on the mathematics courses for a second major are identical to those listed below under the heading Graduation Requirements.

## First-time Admission Requirements

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

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

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

## Satisfactory Academic Standard Requirement

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

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

## Non-Credit Courses

The following courses will not be counted for credit (as mathematics or electives) toward a bachelor's degree in mathematics:

MATH 1301 | CONTEMPORARY MATHEMATICS | 3 |

MATH 1302 | COLLEGE ALGEBRA | 3 |

MATH 1308 | ELEMENTARY STATISTICAL ANALYSIS | 3 |

MATH 1315 | COLLEGE ALGEBRA FOR ECONOMICS & BUSINESS ANALYSIS | 3 |

MATH 1316 | MATHEMATICS FOR ECONOMICS AND BUSINESS ANALYSIS | 3 |

MATH 1330 | ARITHMETICAL PROBLEM SOLVING | 3 |

MATH 1331 | GEOMETRICAL INFERENCE AND REASONING | 3 |

MATH 1332 | FUNCTIONS, DATA, AND APPLICATIONS | 3 |

MATH 4350 | PRECALCULUS FOR MID-LEVEL MATHEMATICS TEACHERS | 3 |

MATH 4351 | CALCULUS FOR MID-LEVEL MATHEMATICS TEACHERS | 3 |

Capstone mathematics courses specifically for prospective secondary grades mathematics teachers can be counted for credit only by those pursuing a B.S. with Secondary Teaching Certification.

## Math Course Registration and Requirements

Students may not be "pre-enrolled" in mathematics courses while prerequisite courses at another institution are pending grades. Only UT Arlington credits may be used for pre-enrollment purposes.

Canvas grades (or other learning-management system grades) may not be used as proof of completion for a prerequisite course. Students must submit either an official transcript to the registrar's office, or submit a transcript with a letter grade for the prerequisite course to the undergraduate mathematics advisor in order to be enrolled in a mathematics course. If a student is submitting the transcript via email, the email must be sent from their UTA email address.

## Requirements for a Bachelor of Science Degree in Mathematics

UNIV 1131 | STUDENT SUCCESS | 1 |

General Core Requirements | 36 | |

Pre-Professional Courses | ||

Communication ^{1} | 6 | |

Language, Philosophy, and Culture ^{1} | 3 | |

Social and Behavioral Sciences ^{1} | 3 | |

Creative Arts ^{1} | 3 | |

Foundational Component Area ^{1} | 3 | |

POLS 2311 | GOVERNMENT OF THE UNITED STATES | 3 |

POLS 2312 | STATE AND LOCAL GOVERNMENT | 3 |

HIST 1301 | HISTORY OF THE UNITED STATES TO 1865 | 3 |

HIST 1302 | HISTORY OF THE UNITED STATES, 1865 TO PRESENT | 3 |

Modern and Classical Languages (Levels I and II or higher) in one language | 8 | |

Select one of the following sequences in life and physical science: | 6-8 | |

CELL AND MOLECULAR BIOLOGY and EVOLUTION AND ECOLOGY | ||

GENERAL CHEMISTRY I and GENERAL CHEMISTRY II | ||

EARTH SYSTEMS and EARTH HISTORY | ||

GENERAL TECHNICAL PHYSICS I and GENERAL TECHNICAL PHYSICS II | ||

Life and Physical Science: select 6 additional hours from required or that use required as prerequisite | 6 | |

Select one of the following in computer programming: | 3 | |

INTRODUCTION TO COMPUTERS & PROGRAMMING | ||

INTRODUCTION TO PROGRAMMING FOR ENGINEERS | ||

INTERMEDIATE PROGRAMMING | ||

OBJECT-ORIENTED PROGRAMMING | ||

NUMERICAL ANALYSIS & PROGRAMMING | ||

Professional Courses | ||

Major | ||

MATH 1426 | CALCULUS I | 4 |

MATH 2425 | CALCULUS II | 4 |

MATH 2326 | CALCULUS III | 3 |

MATH 3300 | INTRODUCTION TO PROOFS (satisfies Oral Communication Competency) | 3 |

MATH 3316 | STATISTICAL INFERENCE | 3 |

MATH 3318 | DIFFERENTIAL EQUATIONS | 3 |

MATH 3321 | ABSTRACT ALGEBRA I | 3 |

MATH 3330 | INTRODUCTION TO LINEAR ALGEBRA AND VECTOR SPACES | 3 |

MATH 3335 | ANALYSIS I | 3 |

MATH 3345 | NUMERICAL ANALYSIS AND COMPUTER APPLICATIONS | 3 |

Select one of the following to complete one sequence: | 3 | |

ABSTRACT ALGEBRA II | ||

ADVANCED MULTIVARIABLE CALCULUS | ||

ANALYSIS II | ||

Additional advanced hours in mathematics ^{2} | 15 | |

Minor | 18 | |

The minor may be from any college ^{3} | ||

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

^{1} | |

^{2} | Fifteen additional advanced hours (MATH 3301 or above, except for capstone mathematics courses specifically for prospective middle grades or secondary grades mathematics teachers), including a second sequence (see paragraph three in the opening section). |

^{3} | The student should consult the appropriate section in this catalog for the exact requirements for a minor in a given department or contact that department's undergraduate advisor. |

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

### Suggested Course Sequence

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

First Semester | Hours | Second Semester | Hours |

MATH 1426 | 4 | MATH 2425 | 4 |

ENGL 1301 | 3 | PHYS 1443 | 4 |

HIST 1301 | 3 | ENGL 1302 | 3 |

Language, Philosophy, and Culture Elective | 3 | HIST 1302 | 3 |

CSE 1311 | 3 | ||

UNIV 1131 | 1 | ||

17 | 14 | ||

Second Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 2326 | 3 | MATH 3318 | 3 |

MATH 3330 | 3 | MATH 3300 | 3 |

PHYS 1444 | 4 | Life and Physical Science | 3 |

Social and Behavioral Sciences | 3 | Creative Arts | 3 |

MATH 3316 | 3 | ||

13 | 15 | ||

Third Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 3321 or 3335 | 3 | MATH 4321 or 4335 | 3 |

Minor | 3 | Mathematics | 6 |

Life and Physical Science | 3 | Minor | 3 |

POLS 2311 | 3 | POLS 2312 | 3 |

MATH 3345 | 3 | ||

15 | 15 | ||

Fourth Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 3335 or 3321 | 3 | Mathematics | 6 |

Mathematics | 3 | Minor | 6 |

Minor | 6 | Modern Language II | 4 |

Modern Language I | 4 | ||

16 | 16 | ||

Total Hours: 121 |

## Requirements for a Bachelor of Arts Degree in Mathematics

UNIV 1131 | STUDENT SUCCESS | 1 |

General Core Requirements | 36 | |

Pre-Professional Courses | ||

Communication ^{1} | 6 | |

Language, Philosophy, and Culture ^{1} | 3 | |

Social and Behavioral Sciences ^{1} | 3 | |

Creative Arts ^{1} | 3 | |

Foundational Component Area ^{1} | 3 | |

POLS 2311 | GOVERNMENT OF THE UNITED STATES | 3 |

POLS 2312 | STATE AND LOCAL GOVERNMENT | 3 |

HIST 1301 | HISTORY OF THE UNITED STATES TO 1865 | 3 |

HIST 1302 | HISTORY OF THE UNITED STATES, 1865 TO PRESENT | 3 |

Modern and Classical Languages: 14 hours (Level I, II, III, and IV) in one language, or 8 hours (Level I and II) in one language plus 6 hours in single area cluster from list of approved cultural studies courses (see information in College of Science section) | 14 | |

Select one of the following sequences in life and physical science: | 6-8 | |

CELL AND MOLECULAR BIOLOGY and EVOLUTION AND ECOLOGY | ||

GENERAL CHEMISTRY I and GENERAL CHEMISTRY II | ||

EARTH SYSTEMS and EARTH HISTORY | ||

GENERAL TECHNICAL PHYSICS I and GENERAL TECHNICAL PHYSICS II | ||

Additional hours of natural science | 6 | |

Select one of the following in computer literacy | 0-3 | |

COMPUTER LITERACY | ||

INTRODUCTION TO M.I.S. AND DATA PROCESSING | ||

Or equivalent course approved by undergraduate advisor | ||

Or competency test | ||

Select one of the following in computer programming: | 3 | |

INTRODUCTION TO COMPUTERS & PROGRAMMING | ||

INTRODUCTION TO PROGRAMMING FOR ENGINEERS | ||

INTERMEDIATE PROGRAMMING | ||

OBJECT-ORIENTED PROGRAMMING | ||

NUMERICAL ANALYSIS & PROGRAMMING | ||

Professional Courses | ||

MATH 1426 | CALCULUS I | 4 |

MATH 2425 | CALCULUS II | 4 |

MATH 2326 | CALCULUS III | 3 |

MATH 3300 | INTRODUCTION TO PROOFS (satisfies Oral Communication Competency) | 3 |

MATH 3316 | STATISTICAL INFERENCE | 3 |

MATH 3318 | DIFFERENTIAL EQUATIONS | 3 |

MATH 3321 | ABSTRACT ALGEBRA I | 3 |

MATH 3330 | INTRODUCTION TO LINEAR ALGEBRA AND VECTOR SPACES | 3 |

MATH 3335 | ANALYSIS I | 3 |

MATH 3345 | NUMERICAL ANALYSIS AND COMPUTER APPLICATIONS | 3 |

Select one of the following: | 3 | |

ABSTRACT ALGEBRA II | ||

ANALYSIS II | ||

ADVANCED MULTIVARIABLE CALCULUS | ||

Additional advanced hours ^{2} | 9 | |

Minor ^{3} | 18 | |

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

^{1} | |

^{2} | Nine additional advanced hours (MATH 3301 or above, except for capstone mathematics courses specifically for prospective middle or secondary grades mathematics teachers), including a second sequence (see paragraph three in the opening section). |

^{3} | The student should consult the appropriate section in this catalog for the exact requirements for a minor in a given department or contact that department's undergraduate advisor. |

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

### Suggested Course Sequence

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

First Semester | Hours | Second Semester | Hours |

MATH 1426 | 4 | MATH 2425 | 4 |

ENGL 1301 | 3 | ENGL 1302 | 3 |

Modern Language I | 4 | Modern Language II | 4 |

UNIV 1131 | 1 | GEOL 1301 | 3 |

HIST 1301 | 3 | ||

15 | 14 | ||

Second Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 2326 | 3 | MATH 3300 | 3 |

Language, Philosophy, and Culture | 3 | MATH 3330 | 3 |

Modern Language III | 3 | Life and Physical Science | 3 |

GEOL 1302 | 3 | Modern Language IV | 3 |

MATH 3316 | 3 | INSY 2303 | 3 |

15 | 15 | ||

Third Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 3321 | 3 | MATH 4321 | 3 |

Minor | 3 | Mathematics | 3 |

Life and Physical Science | 3 | Minor | 3 |

Social and Behavioral Studies | 3 | Creative Arts | 3 |

MATH 3318 | 3 | CSE 1310 | 3 |

15 | 15 | ||

Fourth Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 3335 | 3 | Mathematics | 3 |

Minor | 6 | Minor | 6 |

POLS 2311 | 3 | HIST 1302 | 3 |

Mathematics | 3 | POLS 2312 | 3 |

15 | 15 | ||

Total Hours: 119 |

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

UNIV 1131 | STUDENT SUCCESS | 1 |

General Core Requirements | 36 | |

Pre-Professional Courses | ||

Communication ^{1} | 6 | |

Language, Philosophy, and Culture ^{1} | 3 | |

Creative Arts ^{1} | 3 | |

Foundational Component Area ^{1} | 3 | |

POLS 2311 | GOVERNMENT OF THE UNITED STATES | 3 |

POLS 2312 | STATE AND LOCAL GOVERNMENT | 3 |

ECON 2305 | PRINCIPLES OF MACROECONOMICS ^{2} | 3 |

HIST 1301 | HISTORY OF THE UNITED STATES TO 1865 | 3 |

HIST 1302 | HISTORY OF THE UNITED STATES, 1865 TO PRESENT | 3 |

Modern and Classical Languages (Levels I and II or higher) in one language | 8 | |

Select one of the following sequences in life and physical science: | 6-8 | |

CELL AND MOLECULAR BIOLOGY and EVOLUTION AND ECOLOGY | ||

GENERAL CHEMISTRY I and GENERAL CHEMISTRY II | ||

EARTH SYSTEMS and EARTH HISTORY | ||

GENERAL TECHNICAL PHYSICS I and GENERAL TECHNICAL PHYSICS II | ||

Life and Physical Science: select 6 additional hours from required or that use required as prerequisite | 6 | |

Select one of the following in computer programming: | 3 | |

INTRODUCTION TO COMPUTERS & PROGRAMMING | ||

INTRODUCTION TO PROGRAMMING FOR ENGINEERS | ||

INTERMEDIATE PROGRAMMING | ||

OBJECT-ORIENTED PROGRAMMING | ||

NUMERICAL ANALYSIS & PROGRAMMING | ||

Professional Courses | ||

MATH 1426 | CALCULUS I | 4 |

MATH 2425 | CALCULUS II | 4 |

MATH 2326 | CALCULUS III | 3 |

MATH 3300 | INTRODUCTION TO PROOFS (satisfies Oral Communication Competency) | 3 |

MATH 3302 | MULTIVARIATE STATISTICAL METHODS ^{4} | 3 |

MATH 3313 | INTRODUCTION TO PROBABILITY ^{5} | 3 |

MATH 3316 | STATISTICAL INFERENCE | 3 |

MATH 3318 | DIFFERENTIAL EQUATIONS | 3 |

MATH 3321 | ABSTRACT ALGEBRA I | 3 |

MATH 3330 | INTRODUCTION TO LINEAR ALGEBRA AND VECTOR SPACES | 3 |

MATH 3335 | ANALYSIS I | 3 |

MATH 3345 | NUMERICAL ANALYSIS AND COMPUTER APPLICATIONS | 3 |

Select one of: | 3 | |

STOCHASTIC MODELS AND SIMULATION | ||

ACTUARIAL RISK ANALYSIS | ||

MATH 4313 | MATHEMATICAL STATISTICS ^{4} | 3 |

Select one of the following: | 3 | |

ABSTRACT ALGEBRA II | ||

ADVANCED MULTIVARIABLE CALCULUS | ||

ANALYSIS II | ||

ECON 2305 | PRINCIPLES OF MACROECONOMICS | 3 |

ECON 2306 | PRINCIPLES OF MICROECONOMICS ^{2,6} | 3 |

ACCT 2301 | PRINCIPLES OF ACCOUNTING I | 3 |

ACCT 2302 | PRINCIPLES OF ACCOUNTING II ^{6} | 3 |

FINA 3313 | BUSINESS FINANCE ^{6,7} | 3 |

FINA 3315 | INVESTMENTS ^{7} | 3 |

FINA 3317 | FINANCIAL INSTITUTIONS AND MARKETS | 3 |

And other 3000+ level courses in MATH, STATS, or Business to complete 120 hours |

^{1} | |

^{2} | ECON 2305 and ECON 2306, passed with a B or better, together satisfy the Society of Actuaries requirement for VEE certification in Economics. |

^{4} | MATH 3302 and MATH 4313, passed with a B or better, together satisfy the Society of Actuaries requirement for VEE certification in Applied Statistical Methods. (Pending approval from the Society of Actuaries.) |

^{5} | MATH 3313 and MATH 4312 should prepare a student to pass Exam P of the Society of Actuaries Associateship Course Catalog. |

^{6} | FINA 3313, passed with a B or better, satisfies the Society of Actuaries requirement for VEE certification in Corporate Finance. This course has prerequisites: ACCT 2302 PRINCIPLES OF ACCOUNTING IIand ECON 2306. |

^{7} | FINA 3313, FINA 3315, and FINA 3317 should prepare a student to pass Exam FM of the Society of Actuaries Associateship Course Catalog. |

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

See www.soa.org for more details about VEE Certification and the Associateship Course Catalog.

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

UNIV 1131 | STUDENT SUCCESS | 1 |

General Core Requirements | 36 | |

Pre-Professional Courses | ||

Communication ^{1} | 6 | |

Language, Philosophy, and Culture ^{1} | 3 | |

Social and Behavioral Sciences ^{1} | 3 | |

Creative Arts ^{1} | 3 | |

Foundational Component Area ^{1} | 3 | |

GOVERNMENT OF THE UNITED STATES | ||

STATE AND LOCAL GOVERNMENT | ||

HIST 1301 | HISTORY OF THE UNITED STATES TO 1865 | 3 |

HIST 1302 | HISTORY OF THE UNITED STATES, 1865 TO PRESENT | 3 |

Modern and Classical Languages (Levels I and II or higher) in one language | 8 | |

Select one of the following sequences in life and physical science: | 6-8 | |

CELL AND MOLECULAR BIOLOGY and EVOLUTION AND ECOLOGY | ||

GENERAL CHEMISTRY I and GENERAL CHEMISTRY II | ||

EARTH SYSTEMS and EARTH HISTORY | ||

GENERAL TECHNICAL PHYSICS I and GENERAL TECHNICAL PHYSICS II | ||

Life and Physical Science: select 6 additional hours from required or that use required as prerequisite | 6 | |

Select one of the following in computer literacy: | 0-3 | |

COMPUTER LITERACY | ||

INTRODUCTION TO M.I.S. AND DATA PROCESSING | ||

Or equivalent course approved by Undergraduate Advisor | ||

Or competency test | ||

Select one of the following in computer programming: | 3 | |

INTRODUCTION TO COMPUTERS & PROGRAMMING | ||

INTRODUCTION TO PROGRAMMING FOR ENGINEERS | ||

INTERMEDIATE PROGRAMMING | ||

OBJECT-ORIENTED PROGRAMMING | ||

NUMERICAL ANALYSIS & PROGRAMMING | ||

Professional Courses | ||

MATH 1426 | CALCULUS I | 4 |

MATH 2425 | CALCULUS II | 4 |

MATH 2326 | CALCULUS III | 3 |

MATH 3300 | INTRODUCTION TO PROOFS (satisfies Oral Communication Competency) | 3 |

MATH 3302 | MULTIVARIATE STATISTICAL METHODS | 3 |

MATH 3313 | INTRODUCTION TO PROBABILITY | 3 |

MATH 3316 | STATISTICAL INFERENCE | 3 |

MATH 3318 | DIFFERENTIAL EQUATIONS | 3 |

MATH 3321 | ABSTRACT ALGEBRA I | 3 |

MATH 3330 | INTRODUCTION TO LINEAR ALGEBRA AND VECTOR SPACES | 3 |

MATH 3335 | ANALYSIS I | 3 |

MATH 3345 | NUMERICAL ANALYSIS AND COMPUTER APPLICATIONS | 3 |

MATH 4311 | STOCHASTIC MODELS AND SIMULATION | 3 |

MATH 4313 | MATHEMATICAL STATISTICS | 3 |

Select one of the following: | 3 | |

ABSTRACT ALGEBRA II | ||

ANALYSIS II | ||

ADVANCED MULTIVARIABLE CALCULUS | ||

Additional advanced hours ^{2} | 15 | |

BSTAT 3321 | INTERMEDIATE STATISTICS FOR BUSINESS ANALYTICS | 3 |

BSTAT 3322 | ADVANCED STATISTICS FOR BUSINESS ANALYTICS | 3 |

^{1} | |

^{2} | Fifteen additional advanced hours (3301 or above, except for capstone mathematics courses specifically for prospective middle or secondary grades mathematics teachers) in mathematics. |

### Suggested Course Sequence

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

First Semester | Hours | Second Semester | Hours |

MATH 1426 | 4 | MATH 2425 | 4 |

ENGL 1301 | 3 | ENGL 1302 | 3 |

HIST 1301 | 3 | BIOL 1441 | 4 |

UNIV 1131 | 1 | HIST 1302 | 3 |

CSE 1311 | 3 | ||

14 | 14 | ||

Second Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 2326 | 3 | MATH 3313 | 3 |

MATH 3330 | 3 | MATH 3316 | 3 |

Social & Behaviorial Science | 3 | MATH 3300 | 3 |

BIOL 1442 | 4 | Creative Arts | 3 |

Language & Philosophy | 3 | Life & Physical Science | 3 |

16 | 15 | ||

Third Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 3335 | 3 | MATH 4335 | 3 |

MATH 3302 | 3 | MATH 4313 | 3 |

Life & Physical Science | 3 | Advanced math elective | 3 |

POLS 2311 | 3 | POLS 2312 | 3 |

MATH 3318 | 3 | BSTAT 3321 | 3 |

15 | 15 | ||

Fourth Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 3345 | 3 | MATH 3321 | 3 |

Advanced math elective | 6 | Modern Language II | 4 |

BSTAT 3322 | 3 | MATH 4311 | 3 |

Modern Language I | 4 | Advanced math elective | 6 |

16 | 16 | ||

Total Hours: 121 |

### Suggested Course Sequence

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

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

UNIV 1131 | STUDENT SUCCESS | 1 |

General Core Requirements | 36 | |

Pre-Professional Courses | ||

General Core Requirements | ||

Communication ^{1} | 6 | |

Language, Philosophy, and Culture ^{1} | 3 | |

Social and Behavioral Sciences ^{1} | 3 | |

Creative Arts ^{1} | 3 | |

Foundational Component Area ^{1} | 3 | |

POLS 2311 | GOVERNMENT OF THE UNITED STATES | 3 |

POLS 2312 | STATE AND LOCAL GOVERNMENT | 3 |

HIST 1301 | HISTORY OF THE UNITED STATES TO 1865 | 3 |

HIST 1302 | HISTORY OF THE UNITED STATES, 1865 TO PRESENT | 3 |

Modern and Classical Languages (Levels I and II or higher) in one language | 8 | |

Select one of the following sequences in life and physical science: | 6-8 | |

CELL AND MOLECULAR BIOLOGY and EVOLUTION AND ECOLOGY | ||

GENERAL CHEMISTRY I and GENERAL CHEMISTRY II | ||

EARTH SYSTEMS and EARTH HISTORY | ||

GENERAL TECHNICAL PHYSICS I and GENERAL TECHNICAL PHYSICS II | ||

6 | ||

Select one of the following in computer literacy: | 0-3 | |

COMPUTER LITERACY | ||

INTRODUCTION TO M.I.S. AND DATA PROCESSING | ||

Or equivalent course approved by Undergraduate Advisor | ||

Or competency test | ||

Select one of the following in computer programming: | 3 | |

INTRODUCTION TO COMPUTERS & PROGRAMMING | ||

INTRODUCTION TO PROGRAMMING FOR ENGINEERS | ||

INTERMEDIATE PROGRAMMING | ||

OBJECT-ORIENTED PROGRAMMING | ||

NUMERICAL ANALYSIS & PROGRAMMING | ||

Professional Courses | ||

MATH 1426 | CALCULUS I | 4 |

MATH 2425 | CALCULUS II | 4 |

MATH 2326 | CALCULUS III | 3 |

MATH 3300 | INTRODUCTION TO PROOFS (satisfies Oral Communication Competency) | 3 |

MATH 3313 | INTRODUCTION TO PROBABILITY | 3 |

MATH 3316 | STATISTICAL INFERENCE | 3 |

MATH 3318 | DIFFERENTIAL EQUATIONS | 3 |

MATH 3321 | ABSTRACT ALGEBRA I | 3 |

MATH 3330 | INTRODUCTION TO LINEAR ALGEBRA AND VECTOR SPACES | 3 |

MATH 3335 | ANALYSIS I | 3 |

MATH 3345 | NUMERICAL ANALYSIS AND COMPUTER APPLICATIONS | 3 |

MATH 4311 | STOCHASTIC MODELS AND SIMULATION | 3 |

MATH 4322 | INTRODUCTION TO COMPLEX VARIABLES | 3 |

MATH 4324 | INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS | 3 |

Select one of the following: | 3 | |

ABSTRACT ALGEBRA II | ||

ANALYSIS II | ||

ADVANCED MULTIVARIABLE CALCULUS | ||

Additional advanced hours ^{2} | 15 | |

IE 3315 & IE 4315 | OPERATIONS RESEARCH I and OPERATIONS RESEARCH II | 6 |

^{1} | |

^{2} | Fifteen additional advanced mathematics hours (MATH 3301 or above, except for capstone mathematics courses specifically for prospective middle grades or secondary grades mathematics teachers). |

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

UNIV 1131 | STUDENT SUCCESS | 1 |

General Core Requirements | 36 | |

Pre-Professional Courses | ||

Communication ^{1} | 6 | |

Language, Philosophy, and Culture ^{1} | 3 | |

Social and Behavioral Sciences ^{1} | 3 | |

Creative Arts ^{1} | 3 | |

Foundational Component Area ^{1} | 3 | |

POLS 2311 | GOVERNMENT OF THE UNITED STATES | 3 |

POLS 2312 | STATE AND LOCAL GOVERNMENT | 3 |

HIST 1301 | HISTORY OF THE UNITED STATES TO 1865 | 3 |

HIST 1302 | HISTORY OF THE UNITED STATES, 1865 TO PRESENT | 3 |

Modern and Classical Languages (Levels I and II or higher) in one language | 8 | |

Select one of the following sequences in life and physical science: | 6-8 | |

CELL AND MOLECULAR BIOLOGY and EVOLUTION AND ECOLOGY | ||

GENERAL CHEMISTRY I and GENERAL CHEMISTRY II | ||

EARTH SYSTEMS and EARTH HISTORY | ||

GENERAL TECHNICAL PHYSICS I and GENERAL TECHNICAL PHYSICS II | ||

6 | ||

Select one of the following in computer programming: | 3 | |

INTRODUCTION TO COMPUTERS & PROGRAMMING | ||

INTRODUCTION TO PROGRAMMING FOR ENGINEERS | ||

INTERMEDIATE PROGRAMMING | ||

OBJECT-ORIENTED PROGRAMMING | ||

NUMERICAL ANALYSIS & PROGRAMMING | ||

Select one of the following in computer literacy: | 0-3 | |

COMPUTER LITERACY | ||

INTRODUCTION TO M.I.S. AND DATA PROCESSING | ||

Or equivalent course approved by Undergraduate Advisor | ||

Or competency test | ||

Professional Courses | ||

MATH 1426 | CALCULUS I | 4 |

MATH 2425 | CALCULUS II | 4 |

MATH 2326 | CALCULUS III | 3 |

MATH 3300 | INTRODUCTION TO PROOFS (satisfies Oral Communication Competency) | 3 |

MATH 3316 | STATISTICAL INFERENCE | 3 |

MATH 3318 | DIFFERENTIAL EQUATIONS | 3 |

MATH 3321 | ABSTRACT ALGEBRA I | 3 |

MATH 3330 | INTRODUCTION TO LINEAR ALGEBRA AND VECTOR SPACES | 3 |

MATH 3335 | ANALYSIS I | 3 |

MATH 3345 | NUMERICAL ANALYSIS AND COMPUTER APPLICATIONS | 3 |

MATH 4321 | ABSTRACT ALGEBRA II | 3 |

MATH 4322 | INTRODUCTION TO COMPLEX VARIABLES | 3 |

MATH 4335 | ANALYSIS II | 3 |

Additional advanced hours ^{2} | 27 |

^{1} | |

^{2} | 27 additional advanced mathematics hours (MATH 3301 or above, except for capstone mathematics courses specifically for prospective middle grades or secondary grades mathematics teachers). |

## Bachelor of Science in Mathematics with Secondary Teaching Certification

UNIV 1131 | STUDENT SUCCESS | 1 |

General Core Requirements | 36 | |

Pre-Professional Courses | ||

Social and Behavioral Sciences ^{1} | 3 | |

Creative Arts ^{1} | 3 | |

Foundational Component Area ^{1} | 3 | |

Program Requirements | ||

ENGL 1301 | RHETORIC AND COMPOSITION I | 3 |

ENGL 1302 | RHETORIC AND COMPOSITION II | 3 |

PHIL 2314 | PERSPECTIVES ON SCIENCE AND MATHEMATICS | 3 |

POLS 2311 | GOVERNMENT OF THE UNITED STATES | 3 |

POLS 2312 | STATE AND LOCAL GOVERNMENT | 3 |

HIST 1301 | HISTORY OF THE UNITED STATES TO 1865 | 3 |

HIST 1302 | HISTORY OF THE UNITED STATES, 1865 TO PRESENT | 3 |

Modern and Classical Languages (Levels I and II or higher) in one language | 8 | |

Select one of the following sequences in life and physical science: ^{3} | 6-8 | |

GENERAL TECHNICAL PHYSICS I and GENERAL TECHNICAL PHYSICS II | ||

GENERAL CHEMISTRY I and GENERAL CHEMISTRY II | ||

CELL AND MOLECULAR BIOLOGY and EVOLUTION AND ECOLOGY | ||

EARTH SYSTEMS and EARTH HISTORY | ||

Additional science hours taken from the above science courses or that use required as prerequisite | 3 | |

Select one of the following in computer programming: | 3 | |

INTRODUCTION TO COMPUTERS & PROGRAMMING | ||

INTRODUCTION TO PROGRAMMING FOR ENGINEERS | ||

INTERMEDIATE PROGRAMMING | ||

OBJECT-ORIENTED PROGRAMMING | ||

NUMERICAL ANALYSIS & PROGRAMMING | ||

Professional Courses | ||

MATH 1426 | CALCULUS I | 4 |

MATH 2425 | CALCULUS II | 4 |

MATH 2326 | CALCULUS III | 3 |

MATH 2330 | FUNCTIONS AND MODELING | 3 |

MATH 3300 | INTRODUCTION TO PROOFS (satisfies Oral Communication Competency) | 3 |

MATH 3301 | FOUNDATIONS OF GEOMETRY | 3 |

MATH 3307 | ELEMENTARY NUMBER THEORY | 3 |

MATH 3314 | DISCRETE MATHEMATICS | 3 |

MATH 3316 | STATISTICAL INFERENCE | 3 |

MATH 3321 | ABSTRACT ALGEBRA I | 3 |

MATH 3330 | INTRODUCTION TO LINEAR ALGEBRA AND VECTOR SPACES | 3 |

MATH 3335 | ANALYSIS I | 3 |

Select one of the following: | 3 | |

ABSTRACT ALGEBRA II | ||

ANALYSIS II | ||

ADVANCED MULTIVARIABLE CALCULUS | ||

Additional advanced hours ^{2} | 3 | |

Education Requirements ^{3} | ||

SCIE 1201 | STEP 1: INQUIRY APPROACHES TO TEACHING | 2 |

SCIE 1202 | STEP 2: INQUIRY-BASED LESSON DESIGN | 2 |

EDUC 4331 | KNOWING AND LEARNING IN MATH AND SCIENCE | 3 |

EDUC 4332 | CLASSROOM INTERACTIONS | 3 |

EDUC 4333 | MULTIPLE TEACHING PRACTICES IN MATH AND SCIENCE | 3 |

Choose one of: | 3 | |

RESEARCH METHODS - UTEACH | ||

RESEARCH METHODS - UTEACH | ||

RESEARCH METHODS - UTEACH | ||

RESEARCH METHODS - UTEACH | ||

SCIE 4607 | CLINICAL TEACHING FOR SECONDARY GRADES | 6 |

SCIE 4107 | CLINICAL TEACHING SEMINAR | 1 |

^{1} | |

^{2} | Three additional advanced hours (MATH 3302 or above, except MATH 4350 and MATH 4351 CALCULUS FOR MID-LEVEL MATHEMATICS TEACHERS), including either a second sequence or a capstone course specifically for prospective secondary mathematics teachers. |

^{3} | Certification requirements are subject to change; consult with an advisor in UTeach Arlington to verify current requirements. |

## Requirements for Dual Degree: Bachelor of Science in Mathematics and Master of Science in Biomedical Engineering

UNIV 1131 | STUDENT SUCCESS | 1 |

General Core Requirements | 36 | |

Pre-Professional Courses | ||

Communication ^{1} | 6 | |

Language, Philosophy, and Culture ^{1} | 3 | |

Social and Behavioral Sciences ^{1} | 3 | |

Creative Arts ^{1} | 3 | |

Foundational Component Area ^{1} | 3 | |

POLS 2311 | GOVERNMENT OF THE UNITED STATES | 3 |

POLS 2312 | STATE AND LOCAL GOVERNMENT | 3 |

HIST 1301 | HISTORY OF THE UNITED STATES TO 1865 | 3 |

HIST 1302 | HISTORY OF THE UNITED STATES, 1865 TO PRESENT | 3 |

Modern and Classical Languages (Levels I and II or higher) in one language | 8 | |

BIOL 1441 & BIOL 1442 | CELL AND MOLECULAR BIOLOGY and EVOLUTION AND ECOLOGY | 8 |

PHYS 1443 & PHYS 1444 | GENERAL TECHNICAL PHYSICS I and GENERAL TECHNICAL PHYSICS II | 8 |

CSE 1311 | INTRODUCTION TO PROGRAMMING FOR ENGINEERS | 3 |

Professional Courses | ||

Major | ||

MATH 1426 | CALCULUS I | 4 |

MATH 2425 | CALCULUS II | 4 |

MATH 2326 | CALCULUS III | 3 |

MATH 3300 | INTRODUCTION TO PROOFS (satisfies Oral Communication Competency) | 3 |

MATH 3313 | INTRODUCTION TO PROBABILITY | 3 |

MATH 3316 | STATISTICAL INFERENCE | 3 |

MATH 3318 | DIFFERENTIAL EQUATIONS | 3 |

MATH 3321 | ABSTRACT ALGEBRA I | 3 |

MATH 3330 | INTRODUCTION TO LINEAR ALGEBRA AND VECTOR SPACES | 3 |

MATH 3335 | ANALYSIS I | 3 |

MATH 3345 | NUMERICAL ANALYSIS AND COMPUTER APPLICATIONS | 3 |

MATH 4313 | MATHEMATICAL STATISTICS | 3 |

Select one of the following to complete one sequence: | 3 | |

ABSTRACT ALGEBRA II | ||

ADVANCED MULTIVARIABLE CALCULUS | ||

ANALYSIS II | ||

Additional advanced hours in mathematics ^{2} | 6 | |

BE 3317 | LINEAR SYSTEMS IN BIOENGINEERING | 3 |

BE 3320 | MEASUREMENT LABORATORY | 3 |

Complete requirement for Master of Science in Biomedical Engineering (please see Biomedical Engineering in the Engineering section of graduate catalog) | ||

Up to three graduate courses in Biomedical Engineering chosen from the following list will be allowed for undergraduate credit in Fast Track Program: | ||

HUMAN PHYSIOLOGY IN BIOENGINEERING | ||

FLUORESCENCE MICROSCOPY | ||

TISSUE ULTRASOUND OPTICAL IMAGING | ||

TRANSPORT PHENOMENA IN BIOMEDICAL ENGINEERING | ||

IMAGE PROCESSING WITH MATLAB: APPLICATIONS IN MEDICINE AND BIOLOGY | ||

BIOINSTRUMENTATION I | ||

MEDICAL IMAGING | ||

DIGITAL PROCESSING OF BIOLOGICAL SIGNALS | ||

TISSUE ENGINEERING LECTURE | ||

TISSUE ENGINEERING LAB | ||

PROCESS CONTROL IN BIOTECHNOLOGY | ||

DRUG DELIVERY | ||

FORMULATION AND CHARACTERIZATION OF DRUG DELIVERY SYSTEMS | ||

LABORATORY PRINCIPLES | ||

BIOMEDICAL PRODUCT DESIGN AND DEVELOPMENT |

^{1} | |

^{2} | Six additional advanced hours (MATH 3301 or above, except for capstone mathematics courses specifically for prospective middle grades or secondary grades mathematics teachers). The need for a second sequence is fulfilled by Math 3313/4313. |

### SUGGESTED COURSE SEQUENCE

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

First Semester | Hours | Second Semester | Hours |

ENGL 1301 | 3 | MATH 1426 | 4 |

HIST 1301 | 3 | Modern Language Level 1 | 3 |

CSE 1311 | 3 | CHEM 1441 | 4 |

UNIV 1131 | 1 | ENGL 1302 | 3 |

BIOL 1441 | 4 | Social & Behavioral | 3 |

14 | 17 | ||

Second Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 2425 | 4 | MATH 2326 | 3 |

PHYS 1443 | 4 | MATH 3300 | 3 |

MATH 3330 | 3 | MATH 3318 | 3 |

Modern Language Level II | 3 | PHYS 1444 | 4 |

Creative Arts | 3 | BE 3380 | 3 |

17 | 16 | ||

Third Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 3313 | 3 | HIST 1302 | 3 |

MATH 3316 | 3 | MATH 3321 | 3 |

MATH 3335 | 3 | MATH 4313 | 3 |

MATH 3345 | 3 | MATH 4335 | 3 |

BE 3317 | 3 | BE 3320 | 3 |

15 | 15 | ||

Fourth Year | |||

First Semester | Hours | Second Semester | Hours |

BE 4337 | 3 | Choose one BE graduate course | 3 |

POLS 2311 | 3 | POLS 2312 | 3 |

Choose 2 BE graduate courses | 6 | Two statistics undergraduate courses | 6 |

Language, Philosophy, & Culture | 3 | BE 4382 | 3 |

15 | 15 | ||

Fifth Year | |||

First Semester | Hours | Second Semester | Hours |

Choose 2 Statistics graduate level courses | 6 | Choose 4 BE graduate level courses | 12 |

Choose 1 BE graduate level course | 3 | ||

9 | 12 | ||

Total Hours: 145 |

## Minor

Students in non-engineering majors may minor in mathematics by taking 18 hours of mathematics courses with an average GPA in mathematics courses of 2.0, and with at least six hours of 3000/4000 level courses. The courses that may be counted toward a math minor are MATH 1426 and above, except for capstone mathematics courses specifically for prospective middle or secondary grades mathematics teachers. Nine hours of the minor must be taken in residence. Engineering majors seeking a math minor should refer to the College of Engineering section of this catalog for the requirements for the engineering math minor.

College of Engineering students may minor in mathematics by taking 18 hours of mathematics courses with an average GPA in mathematics courses of 2.0, and with at least six hours of 3000/4000 level courses. Nine hours of the minor must be taken in residence. The courses that may be counted toward a math minor are MATH 1426 and above, with exceptions listed below for certain majors:

- MATH 3314 is prohibited for BSSE, BSCS and BSCPE majors
- MATH 3313 is prohibited for BSCPE and BSIE majors
- MATH 3318 and MATH 3319 is prohibited for BSME and BSAE majors
- Only one of MATH 3319 or 3330 may be counted toward the minor
- Only one of MATH 3318 or 3319 may be counted toward the minor