## 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 PROBABILITY | 6 |

or STATS 3313 & STATS 4312 | INTRODUCTION TO PROBABILITY and PROBABILITY | |

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

or STATS 3313 & STATS 4313 | INTRODUCTION TO PROBABILITY and APPLICATIONS OF 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 |

For the statistics option, the second sequence must be one of the following:

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 4313 | INTRODUCTION TO PROBABILITY and APPLICATIONS OF MATHEMATICAL STATISTICS | 6 |

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

For the actuarial science option, the second sequence must be one of the following:

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

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

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

It is strongly recommended that mathematics majors take MATH 3330 INTRODUCTION TO MATRICES AND LINEAR ALGEBRA and MATH 3300 INTRODUCTION TO PROOFS as early as possible, since these courses are prerequisites for many other 3000/4000-level courses. It is suggested to take MATH 3330 INTRODUCTION TO MATRICES AND LINEAR ALGEBRA simultaneously with Calculus III. Mathematics majors must take MATH 3300 INTRODUCTION TO PROOFS before attempting the required courses MATH 3321 ABSTRACT ALGEBRA I and MATH 3335 ANALYSIS I. 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 INTRODUCTION TO PROGRAMMING FOR ENGINEERS, CSE 1320 INTERMEDIATE PROGRAMMING, 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 3314 | DISCRETE MATHEMATICS | 3 |

MATH 3330 | INTRODUCTION TO MATRICES AND LINEAR ALGEBRA | 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 | ||

Total Hours | 18 |

Besides the sequence MATH 3321 ABSTRACT ALGEBRA I-MATH 4321 ABSTRACT ALGEBRA II or the sequence MATH 3335 ANALYSIS I and (MATH 4335 ANALYSIS II or MATH 4334 ADVANCED MULTIVARIABLE CALCULUS), 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 CALCULUS I 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 |

BSTAT 3321 | BUSINESS STATISTICS I | 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.A. with Secondary Teaching Certification.

## Requirements for a Bachelor of Science Degree in Mathematics

Pre-Professional Courses | ||

General Core Requirements | 42 | |

Recommended Core Requirements | ||

Language, Philosophy, and Culture: 3 hours from core curriculum list | 3 | |

Social and Behavioral Sciences: 3 hours from core curriculum list | 3 | |

Creative Arts: 3 hours from core curriculum list | 3 | |

Foundational Component Area: 3 hours from core curriculum list | ||

Program Requirements | ||

ENGL 1301 | RHETORIC AND COMPOSITION I | 3 |

ENGL 1302 | RHETORIC AND COMPOSITION II | 3 |

POLS 2311 | GOVERNMENT OF THE UNITED STATES | 3 |

POLS 2312 | STATE AND LOCAL GOVERNMENT | 3 |

HIST 1311 | HISTORY OF THE UNITED STATES TO 1865 | 3 |

HIST 1312 | 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 11 additional hours from required or that use required as prerequisite | 11 | |

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 | ||

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 3318 | DIFFERENTIAL EQUATIONS | 3 |

MATH 3330 | INTRODUCTION TO MATRICES AND LINEAR ALGEBRA | 3 |

MATH 3321 | ABSTRACT ALGEBRA I | 3 |

MATH 3335 | ANALYSIS I | 3 |

MATH 3313 | INTRODUCTION TO PROBABILITY | 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 | ||

The minor must be in the College of Science or College of Engineering ^{3} | ||

Electives | ||

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

^{1} | Nine additional advanced hours (MATH 3301 FOUNDATIONS OF GEOMETRY 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). |

^{2} | 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 BA 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 1311 | 3 | ENGL 1302 | 3 |

Language, Philosophy, and Culture Elective | 3 | HIST 1312 | 3 |

CSE 1311 | 3 | ||

16 | 14 | ||

Second Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 2326 | 3 | MATH 3318 | 3 |

MATH 3330 | 3 | MATH 3300 | 3 |

PHYS 1444 | 4 | Physics | 3 |

Social and Behavioral Sciences | 3 | Life and Physical Science | 4 |

COMS 2302 | 3 | Creative Arts | 3 |

16 | 16 | ||

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 | 4 | Minor | 3 |

POLS 2311 | 3 | POLS 2312 | 3 |

13 | 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: 122 |

## Requirements for a Bachelor of Arts Degree in Mathematics

Pre-Professional Courses | ||

General Core Requirements | 42 | |

Recommended Core Requirements ^{1} | ||

Language, Philosophy, and Culture: 3 hours from core curriculum list | ||

Social and Behavioral Sciences: 3 hours from core curriculum list | ||

Creative Arts: 3 hours from core curriculum list | ||

Foundational Component Area: 3 hours from any core curriculum course | ||

Program Requirements | ||

ENGL 1301 | RHETORIC AND COMPOSITION I | 3 |

ENGL 1302 | RHETORIC AND COMPOSITION II | 3 |

POLS 2311 | GOVERNMENT OF THE UNITED STATES | 3 |

POLS 2312 | STATE AND LOCAL GOVERNMENT | 3 |

HIST 1311 | HISTORY OF THE UNITED STATES TO 1865 | 3 |

HIST 1312 | 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: ^{2} | 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 science from the above science courses or from science courses that have above science courses as prerequisites | 6 | |

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

COMPUTER LITERACY | ||

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

Or competency test | ||

or equivalent course approved by undergraduate advisor | ||

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 3314 | DISCRETE MATHEMATICS | 3 |

MATH 3330 | INTRODUCTION TO MATRICES AND LINEAR ALGEBRA | 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 | ||

Additional advanced hours ^{3} | 9 | |

Minor ^{4} | ||

Electives | ||

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

^{1} | For a list of approved courses, contact the University Advising Center or consult the General Core. |

^{2} | Each course may be replaced by another course in the same field that requires the original course as a prerequisite. |

^{3} | Nine additional advanced hours (MATH 3301 FOUNDATIONS OF GEOMETRY 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). |

^{4} | 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 BA 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 |

HIST 1311 | 3 | Life and Physical Science | 4 |

INSY 2303 | 3 | Modern Language II | 4 |

Modern Language I | 4 | ||

17 | 15 | ||

Second Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 2326 | 3 | MATH 3300 | 3 |

MATH 3314 | 3 | MATH 3330 | 3 |

Language, Philosophy, and Culture | 3 | Foundational Component Area core elective | 3 |

Life and Physical Science | 4 | Life and Physical Science | 3 |

Modern Language III | 3 | Modern Language IV | 3 |

16 | 15 | ||

Third Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 3321 | 3 | MATH 4321 | 3 |

Mathematics | 3 | Mathematics | 3 |

Minor | 3 | Minor | 3 |

Life and Physical Science | 3 | Creative Arts | 3 |

Social and Behavioral Studies | 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 1312 | 3 |

POLS 2312 | 3 | ||

12 | 15 | ||

Total Hours: 120 |

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

Pre-Professional Courses | ||

General Core Requirements | 42 | |

Recommended Core Requirements | ||

Language, Philosophy, and Culture: 3 hours from core curriculum list | 3 | |

Creative Arts: 3 hours from core curriculum list | 3 | |

Foundational Component Area: 3 hours from core curriculum list | 3 | |

Program Requirements | ||

ENGL 1301 | RHETORIC AND COMPOSITION I | 3 |

ENGL 1302 | RHETORIC AND COMPOSITION II | 3 |

POLS 2311 | GOVERNMENT OF THE UNITED STATES | 3 |

POLS 2312 | STATE AND LOCAL GOVERNMENT | 3 |

ECON 2305 | PRINCIPLES OF MACROECONOMICS ^{1} | 3 |

English or modern and classical languages literature or other approved substitute at the 2000 level or above | ||

HIST 1311 | HISTORY OF THE UNITED STATES TO 1865 | 3 |

HIST 1312 | HISTORY OF THE UNITED STATES, 1865 TO PRESENT | 3 |

HIST 3364 | TEXAS SINCE 1845 | 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: ^{2} | 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 3302 | MULTIVARIATE STATISTICAL METHODS ^{4} | 3 |

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

MATH 3314 | DISCRETE MATHEMATICS | 3 |

MATH 3330 | INTRODUCTION TO MATRICES AND LINEAR ALGEBRA | 3 |

MATH 3345 | NUMERICAL ANALYSIS AND COMPUTER APPLICATIONS | 3 |

MATH 3321 | ABSTRACT ALGEBRA I | 3 |

MATH 3335 | ANALYSIS I | 3 |

MATH 4312 | PROBABILITY ^{5} | 3 |

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

Select one of the following: | 3 | |

ADVANCED MULTIVARIABLE CALCULUS | ||

ANALYSIS II | ||

NUMERICAL ANALYSIS & COMPUTER APPLICATIONS II | ||

Option | ||

ECON 2306 | PRINCIPLES OF MICROECONOMICS ^{1,6} | 3 |

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

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

FINA 3315 | INVESTMENTS ^{7} | 3 |

FINA 4318 | PORTFOLIO MANAGEMENT AND SECURITY ANALYSIS ^{7} | 3 |

FINA 4319 | FINANCIAL DERIVATIVES ^{7} | 3 |

^{1} | ECON 2305 PRINCIPLES OF MACROECONOMICS and ECON 2306 PRINCIPLES OF MICROECONOMICS, passed with a B or better, together satisfy the Society of Actuaries requirement for VEE certification in Economics. |

^{2} | Each course may be replaced by another course in the same field that requires the original course as a prerequisite. |

^{3} | For competency test see http://www.uta.edu/uac/testing/computer-skills. |

^{4} | MATH 3302 MULTIVARIATE STATISTICAL METHODS and MATH 4313 APPLICATIONS OF MATHEMATICAL STATISTICS, 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 INTRODUCTION TO PROBABILITY and MATH 4312 PROBABILITY should prepare a student to pass Exam P of the Society of Actuaries Associateship Course Catalog. |

^{6} | FINA 3313 BUSINESS FINANCE, 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 PRINCIPLES OF MICROECONOMICS. |

^{7} | FINA 3313 BUSINESS FINANCE, FINA 3315 INVESTMENTS, FINA 4318 PORTFOLIO MANAGEMENT AND SECURITY ANALYSIS, and FINA 4319 FINANCIAL DERIVATIVES 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 BA 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)

Pre-Professional Courses | ||

General Core Requirements | 42 | |

Recommended Core Requirements | ||

Language, Philosophy, and Culture: 3 hours from core curriculum list | 3 | |

Social and Behavioral Sciences: 3 hours from core curriculum list | 3 | |

Creative Arts: 3 hours from core curriculum list | 3 | |

Foundational Component Area: 3 hours from core curriculum list | 3 | |

Program Requirements | ||

ENGL 1301 | RHETORIC AND COMPOSITION I | 3 |

ENGL 1302 | RHETORIC AND COMPOSITION II | 3 |

GOVERNMENT OF THE UNITED STATES | ||

STATE AND LOCAL GOVERNMENT | ||

HISTORY OF THE UNITED STATES TO 1865 | ||

HISTORY OF THE UNITED STATES, 1865 TO PRESENT | ||

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: ^{2} | 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 | ||

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 3302 | MULTIVARIATE STATISTICAL METHODS | 3 |

MATH 3304 | LINEAR OPTIMIZATION APPLICATIONS | 3 |

MATH 3313 | INTRODUCTION TO PROBABILITY | 3 |

MATH 3314 | DISCRETE MATHEMATICS | 3 |

MATH 3321 | ABSTRACT ALGEBRA I | 3 |

MATH 3330 | INTRODUCTION TO MATRICES AND LINEAR ALGEBRA | 3 |

MATH 3335 | ANALYSIS I | 3 |

MATH 3345 | NUMERICAL ANALYSIS AND COMPUTER APPLICATIONS | 3 |

MATH 4311 | STOCHASTIC MODELS AND SIMULATION | 3 |

MATH 4313 | APPLICATIONS OF MATHEMATICAL STATISTICS | 3 |

Select one of the following: | 3 | |

ABSTRACT ALGEBRA II | ||

ANALYSIS II | ||

ADVANCED MULTIVARIABLE CALCULUS | ||

Additional advanced hours ^{3} | 6 | |

Option | ||

BSTAT 3321 | BUSINESS STATISTICS I | 3 |

BSTAT 3322 | BUSINESS STATISTICS II | 3 |

^{1} | For a list of approved courses, contact the University Advising Center or consult the General Core. |

^{2} | Each course may be replaced by another course in the same field that requires the original course as a prerequisite. |

^{3} | Three 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 | MATH 3314 | 3 |

HIST 1311 | 3 | Natural Science | 4 |

Liberal Arts Elective | 3 | ENGL 1302 | 3 |

HIST 1312 | 3 | ||

13 | 17 | ||

Second Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 2326 | 3 | MATH 3313 | 3 |

MATH 3330 | 3 | MATH 3316 | 3 |

English Literature | 3 | Natural Science | 4 |

Social and Cultural Studies | 3 | MATH 3300 | 3 |

Natural Science | 4 | Fine Arts | 3 |

16 | 16 | ||

Third Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 3335 | 3 | MATH 4335 | 3 |

MATH 3302 | 3 | MATH 4313 | 3 |

Natural Science | 4 | MATH 3303 | 3 |

POLS 2311 | 3 | Elective | 3 |

POLS 2312 | 3 | ||

13 | 15 | ||

Fourth Year | |||

First Semester | Hours | Second Semester | Hours |

MATH 3345 | 3 | MATH 3321 | 3 |

Mathematics | 3 | MATH 3304 or IE 3315 | 3 |

BSTAT 3322 | 3 | IE 4308 | 3 |

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

Elective | 3 | ||

16 | 13 | ||

Total Hours: 119 |

### 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.

Pre-Professional Courses | ||

General Core Requirements | 42 | |

General Core Requirements | ||

Recommended Core Requirements | ||

Language, Philosophy, and Culture: 3 hours from core curriculum list | 3 | |

Social and Behavioral Sciences: 3 hours from core curriculum list | 3 | |

Creative Arts: 3 hours from core curriculum list | 3 | |

Foundational Component Area: 3 hours from core curriculum list | 3 | |

Program Requirements | ||

ENGL 1301 | RHETORIC AND COMPOSITION I | 3 |

ENGL 1302 | RHETORIC AND COMPOSITION II | 3 |

POLS 2311 | GOVERNMENT OF THE UNITED STATES | 3 |

POLS 2312 | STATE AND LOCAL GOVERNMENT | 3 |

HIST 1311 | HISTORY OF THE UNITED STATES TO 1865 | 3 |

HIST 1312 | 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 11 additional hours from required or that use required as prerequisite | 11 | |

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 | ||

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 3315 | MATHEMATICAL MODELS | 3 |

MATH 3318 | DIFFERENTIAL EQUATIONS | 3 |

MATH 3330 | INTRODUCTION TO MATRICES AND LINEAR ALGEBRA | 3 |

MATH 3321 | ABSTRACT ALGEBRA I | 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 |

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

Select one of the following: | 3 | |

ABSTRACT ALGEBRA II | ||

ANALYSIS II | ||

ADVANCED MULTIVARIABLE CALCULUS | ||

Additional advanced hours ^{1} | 6 |

^{1} | Six additional advanced hours (MATH 3301 FOUNDATIONS OF GEOMETRY 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)

Pre-Professional Courses | ||

General Core Requirements | 42 | |

Recommended Core Requirements | ||

Language, Philosophy, and Culture: 3 hours from core curriculum list | 3 | |

Social and Behavioral Sciences: 3 hours from core curriculum list | 3 | |

Creative Arts: 3 hours from core curriculum list | 3 | |

Foundational Component Area: 3 hours from core curriculum list | 3 | |

Program Requirements | ||

ENGL 1301 | RHETORIC AND COMPOSITION I | 3 |

ENGL 1302 | RHETORIC AND COMPOSITION II | 3 |

POLS 2311 | GOVERNMENT OF THE UNITED STATES | 3 |

POLS 2312 | STATE AND LOCAL GOVERNMENT | 3 |

HIST 1311 | HISTORY OF THE UNITED STATES TO 1865 | 3 |

HIST 1312 | 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 11 additional hours from required or that use required as prerequisite | 11 | |

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 | ||

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 3318 | DIFFERENTIAL EQUATIONS | 3 |

MATH 3330 | INTRODUCTION TO MATRICES AND LINEAR ALGEBRA | 3 |

MATH 3321 | ABSTRACT ALGEBRA I | 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 ^{3} | 18 |

^{1} | For a list of approved courses, contact the University Advising Center or consult the General Core. |

^{2} | |

^{3} | Eighteen additional advanced hours (MATH 3301 FOUNDATIONS OF GEOMETRY 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

Pre-Professional Courses | ||

General Core Requirements | 42 | |

Recommended Core Requirements | ||

Language, Philosophy, and Culture: 3 hours from core curriculum list | 3 | |

Social and Behavioral Sciences: 3 hours from core curriculum list | 3 | |

Creative Arts: 3 hours from core curriculum list | 3 | |

Foundational Component Area: 3 hours from core curriculum list | ||

Program Requirements | ||

ENGL 1301 | RHETORIC AND COMPOSITION I | 3 |

ENGL 1302 | RHETORIC AND COMPOSITION II | 3 |

POLS 2311 | GOVERNMENT OF THE UNITED STATES | 3 |

POLS 2312 | STATE AND LOCAL GOVERNMENT | 3 |

HIST 1311 | HISTORY OF THE UNITED STATES TO 1865 | 3 |

HIST 1312 | 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: | 3 | |

SELECTED TOPICS IN BIOLOGY | ||

ADVANCED TOPICS IN CHEMISTRY | ||

SELECTED TOPICS IN GEOLOGY | ||

SPECIAL TOPICS | ||

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 | 4 | |

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 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 3330 | INTRODUCTION TO MATRICES AND LINEAR ALGEBRA | 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 | ||

Additional advanced hours ^{4} | 3 | |

Education Requirements ^{5} | ||

SCIE 1101 | STEP 1: INQUIRY APPROACHES TO TEACHING | 1 |

SCIE 1102 | STEP 2: INQUIRY-BASED LESSON DESIGN | 1 |

PHIL 2314 | PERSPECTIVES ON SCIENCE AND MATHEMATICS | 3 |

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 |

SCIE 4607 | STUDENT TEACHING FOR SECONDARY GRADES | 6 |

SCIE 4107 | STUDENT TEACHING SEMINAR | 1 |

^{1} | For a list of approved courses, contact the University Advising Center or consult the General Core. |

^{2} | See General Core for a complete list of approved cultural studies. |

^{3} | |

^{4} | Three additional advanced hours (MATH 3302 MULTIVARIATE STATISTICAL METHODS or above, except MATH 4350 PRECALCULUS FOR MID-LEVEL MATHEMATICS TEACHERS and MATH 4351 CALCULUS FOR MID-LEVEL MATHEMATICS TEACHERS), including either a second sequence or a capstone course specifically for prospective secondary mathematics teachers. |

^{5} | Certification requirements are subject to change; consult with an advisor in UTeach Arlington to verify current requirements. |

## 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 CALCULUS I 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