The Bachelor of Science (B.S.) degree in Mathematics is offered with two concentrations: Mathematics and General Mathematical Studies.

The minimum number of semester credit hours required for this degree, including the Core Curriculum requirements, is 120. Thirty-nine of the total semester credit hours required for the degree must be at the upper-division level.

Students choosing the General Mathematical Studies Concentration who wish to pursue teacher certification should satisfy the Core Curriculum requirements consistent with the State Board for Educator Certification.

All required and elective mathematics, computer science, and statistics courses must be completed with a grade of “C-” or better.

All candidates for this degree must fulfill the Core Curriculum requirements and the mathematics requirements, which are listed in the following pages. In addition, a candidate for the Bachelor of Science degree in Mathematics must complete the course requirements for the concentration declared by the candidate.

# Core Curriculum Requirements

Students seeking the B.S. degree in Mathematics must fulfill University Core Curriculum requirements. If courses are taken to satisfy both degree requirements and Core Curriculum requirements, then students may need to take additional courses in order to meet the minimum number of semester credit hours required for this degree.

MAT 1214 may be used to satisfy the core requirement in Mathematics as well as a major requirement.

#### First Year Experience Requirement (3 semester credit hours)

All students must complete the following course, for a total of 3 semester credit hours:

AIS 1203 | Academic Inquiry and Scholarship | 3 |

#### Communication (6 semester credit hours)

Students must complete the following courses, for a total of 6 semester credit hours:

WRC 1013 | Freshman Composition I (Q) | 3 |

WRC 1023 | Freshman Composition II (Q) | 3 |

#### Mathematics (3 semester credit hours)

Students must complete one of the following courses, for a total of 3 semester credit hours:

MAT 1023 | College Algebra with Applications | 3 |

MAT 1033 | Algebra with Calculus for Business | 3 |

MAT 1043 | Introduction to Mathematics | 3 |

MAT 1073 | Algebra for Scientists and Engineers | 3 |

MAT 1093 | Precalculus | 3 |

MAT 1193 | Calculus for the Biosciences | 3 |

MAT 1214 | Calculus I | 4 |

STA 1053 | Basic Statistics | 3 |

#### Language, Philosophy and Culture (3 semester credit hours)

Students must complete one of the following courses, for a total of 3 semester credit hours:

ANT 2033 | Introduction to Biological Anthropology | 3 |

AST 1013 | Introduction to Astronomy | 3 |

AST 1033 | Exploration of the Solar System | 3 |

BIO 1233 | Contemporary Biology I | 3 |

BIO 1243 | Contemporary Biology II | 3 |

BIO 1404 | Biosciences I | 4 |

BIO 1414 | Biosciences II | 4 |

ES 1113 | Environmental Botany | 3 |

ES 1123 | Environmental Zoology | 3 |

ES 1213 | Environmental Geology | 3 |

ES 2013 | Introduction to Environmental Science I | 3 |

ES 2023 | Introduction to Environmental Science II | 3 |

GEO 1013 | The Third Planet | 3 |

GEO 1123 | Life Through Time | 3 |

GES 2613 | Physical Geography | 3 |

PHY 1013 | Universes | 3 |

PHY 1943 | Physics for Scientists and Engineers I | 3 |

PHY 1963 | Physics for Scientists and Engineers II | 3 |

#### Creative Arts (3 semester credit hours)

Students must complete one of the following courses, for a total of 3 semester credit hours:

#### American History (6 semester credit hours)

Students must complete two of the following courses, for a total of 6 semester credit hours:

#### Government-Political Science (6 semester credit hours)

Students must complete two of the following courses, for a total of 6 semester credit hours:

#### Social and Behavioral Sciences (3 semester credit hours)

Students must complete one of the following courses, for a total of 3 semester credit hours:

#### Component Area Option (CAO) (3 semester credit hours)

Students must complete either one of the following courses or any additional Core Curriculum course not previously used to satisfy a core component area requirement, for a total of 3 semester credit hours:

# Gateway Courses

Students pursuing the B.S. degree in Mathematics must successfully complete each of the following Gateway Courses with a grade of “C-” or better in no more than two attempts. A student who is unable to successfully complete these courses within two attempts, including dropping a course with a grade of “W” or taking an equivalent course at another institution, will be required to change his or her major.

MAT 1214 | Calculus I | |

MAT 1224 | Calculus II |

# Mathematics Degree Requirements

All candidates for the B.S. degree in Mathematics, regardless of concentration, must complete the following 24 semester credit hours of required courses (this includes the 3 semester credit hours of the Core Curriculum requirement in mathematics).

MAT 1214 | Calculus I (The student who is not prepared to begin MAT 1214 must take MAT 1093 Precalculus.) | 4 |

MAT 1224 | Calculus II | 4 |

MAT 2214 | Calculus III | 4 |

MAT 2233 | Linear Algebra | 3 |

MAT 3013 | Foundations of Mathematics | 3 |

MAT 3213 | Foundations of Analysis | 3 |

MAT 4213 | Real Analysis I | 3 |

Total Credit Hours | 24 |

In addition, a candidate for the B.S degree in Mathematics must complete the course requirements for the concentration declared by the candidate.

# Mathematics Concentration

All candidates for this concentration must fulfill the Core Curriculum requirements, the mathematics degree requirements, as well as the course requirements necessary for this concentration.

A. Computer Science | ||

Select one of the following: | 3-4 | |

Introduction to Computer Programming I | ||

Introduction to Computer Programming II and Introduction to Computer Programming II Recitation |
||

Computer Programming with Engineering Applications | ||

B. Required courses | 21 | |

Differential Equations I | ||

Numerical Analysis | ||

Real Analysis II | ||

Modern Abstract Algebra | ||

Topology | ||

Applied Statistics | ||

Probability and Statistics | ||

C. Upper-division courses in mathematics or statistics | ||

Select 9 semester credits of upper-division courses in mathematics or statistics approved by the student’s advisor | 9 | |

D. Electives | ||

Select 24 or 25 semester credit hours of electives | 24-25 | |

Total Credit Hours | 58 |

# General Mathematics Studies Concentration

All candidates for this concentration must fulfill the Core Curriculum requirements, the mathematics degree requirements, as well as the course requirements necessary for this concentration.

A. Support work | ||

3 semester credit hours of approved, supporting coursework that uses mathematics but is in a field other than mathematics. Courses in Computer Science, Statistics, Physics, Engineering or other disciplines may be used to satisfy this requirement. | 3 | |

B. Mathematics and/or Statistics | ||

24 semester credit hours of mathematics and/or statistics | ||

1. Mathematics | ||

MAT 3103 | Data Analysis and Interpretation | 3 |

MAT 3123 | Fundamentals of Geometry | 3 |

or MAT 4263 | Geometry | |

MAT 3233 | Modern Algebra | 3 |

or MAT 4233 | Modern Abstract Algebra | |

MAT 4113 | Computer Mathematical Topics | 3 |

MAT 4303 | Capstone Course for Mathematics | 3 |

2. 9 approved upper-division credit hours in mathematics or statistics | 9 | |

C. Electives | ||

Select 30 semester credit hours of electives. Students seeking teacher certification should use these hours for the required certification courses. Others students should include among these an additional 6 semester credit hours of upper-division mathematics or statistics courses approved by an undergraduate advisor for the Department of Mathematics. | 30 | |

Total Credit Hours | 57 |

* Certification requirements for students pursuing the General Mathematical Studies Concentration are different from degree requirements.* In addition to specific course requirements, teacher certification in Texas also requires passing scores on a Texas Success Initiative approved assessment instrument test and acceptable scores on the state-mandated exit competency test. Complete information may be obtained in the Teacher Certification Center at UTSA.

# Course Sequence Guide for B.S. Degree in Mathematics with a Mathematics Concentration

This course sequence guide is designed to assist students in completing their UTSA undergraduate Mathematics degree requirements. *This is merely a guide and students must satisfy other requirements of this catalog and meet with their academic advisor for individualized degree plans. *Progress within this guide depends upon such factors as course availability, individual student academic preparation, student time management, work obligations, and individual financial considerations. Students may choose to take courses during Summer terms to reduce course loads during long semesters.

#### B.S. in Mathematics, Mathematics Concentration – Recommended Four-Year Academic Plan

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

Fall | Credit Hours | |

AIS 1203 | Academic Inquiry and Scholarship (core) | 3 |

MAT 1214 | Calculus I (core and major) | 4 |

WRC 1013 | Freshman Composition I (Q) (core) | 3 |

American History core | 3 | |

Life & Physical Sciences core | 3 | |

Spring | ||

MAT 1224 | Calculus II | 4 |

WRC 1023 | Freshman Composition II (Q) (core) | 3 |

Life & Physical Sciences core | 3 | |

Select one of the following: | 3-4 | |

CS 1063 | Introduction to Computer Programming I | |

CS 1713 & CS 1711 |
Introduction to Computer Programming II | |

CS 2073 | Computer Programming with Engineering Applications | |

Second Year | ||

Fall | ||

MAT 2214 | Calculus III | 4 |

MAT 2233 | Linear Algebra | 3 |

Government-Political Science core | 3 | |

Free elective | 3 | |

Free elective | 3 | |

Spring | ||

MAT 3013 | Foundations of Mathematics | 3 |

STA 3003 | Applied Statistics | 3 |

Creative Arts core | 3 | |

Government-Political Science core | 3 | |

Free elective | 3 | |

Third Year | ||

Fall | ||

MAT 3613 | Differential Equations I | 3 |

STA 3513 | Probability and Statistics | 3 |

Social & Behavioral Sciences core | 3 | |

Upper-division MAT or STA elective | 3 | |

Free elective | 3 | |

Spring | ||

MAT 3213 | Foundations of Analysis | 3 |

MAT 4233 | Modern Abstract Algebra | 3 |

Component Area Option core | 3 | |

Free elective | 3 | |

Upper-division MAT or STA elective | 3 | |

Fourth Year | ||

Fall | ||

MAT 3633 | Numerical Analysis | 3 |

MAT 4213 | Real Analysis I | 3 |

MAT 4273 | Topology | 3 |

Free elective | 3 | |

Upper-division Free elective | 3 | |

Spring | ||

MAT 4223 | Real Analysis II | 3 |

Free elective ^{1} |
2-3 | |

Upper-division MAT or STA elective | 3 | |

American History core | 3 | |

Language Philosophy & Culture core | 3 | |

Total Credit Hours: | 120.0 |

^{1} |
Only 2 semester credit hours are needed if CS 1713 and CS 1711 are taken. |

Note: Some courses are only offered once a year; Fall or Spring. Check with the Department of Mathematics for scheduling of courses.

# Course Sequence Guide for B.S. Degree in Mathematics with a General Mathematical Studies Concentration

This course sequence guide is designed to assist students in completing their UTSA undergraduate Mathematics degree requirements. *This is merely a guide and students must satisfy other requirements of this catalog and meet with their academic advisor for individualized degree plans.* Progress within this guide depends upon such factors as course availability, individual student academic preparation, student time management, work obligations, and individual financial considerations. Students may choose to take courses during Summer terms to reduce course loads during long semesters.

#### B.S. in Mathematics, General Mathematical Studies Concentration – Recommended Four-Year Academic Plan

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

Fall | Credit Hours | |

AIS 1203 | Academic Inquiry and Scholarship (core) | 3 |

MAT 1214 | Calculus I (core and major) | 4 |

WRC 1013 | Freshman Composition I (Q) (core) | 3 |

Life & Physical Sciences core | 3 | |

Free elective | 3 | |

Spring | ||

MAT 1224 | Calculus II | 4 |

WRC 1023 | Freshman Composition II (Q) (core) | 3 |

Free elective | 3 | |

Life & Physical Sciences core | 3 | |

Approved support work | 3 | |

Second Year | ||

Fall | ||

MAT 2214 | Calculus III | 4 |

MAT 2233 | Linear Algebra | 3 |

Free elective | 3 | |

American History core | 3 | |

Spring | ||

MAT 3013 | Foundations of Mathematics | 3 |

MAT 3103 | Data Analysis and Interpretation | 3 |

POL 1133 or 1213 | Texas Politics and Society (core) | 3 |

Free elective | 3 | |

Free elective | 3 | |

Third Year | ||

Fall | ||

MAT 3123 or 4263 | Fundamentals of Geometry (or Geometry) | 3 |

POL 1013 | Introduction to American Politics (core) | 3 |

Free elective | 3 | |

Upper-division free elective | 3 | |

Social & Behavioral Sciences core | 3 | |

Spring | ||

MAT 3213 | Foundations of Analysis | 3 |

MAT 3233 or 4233 | Modern Algebra (or Modern Abstract Algebra) | 3 |

Component Area Option core | 3 | |

Upper-division free elective | 3 | |

Upper-division MAT or STA elective | 3 | |

Fourth Year | ||

Fall | ||

MAT 4213 | Real Analysis I | 3 |

MAT 4303 | Capstone Course for Mathematics | 3 |

Free elective | 3 | |

Free elective | 3 | |

Upper-division MAT elective (not MAT 3253) | 3 | |

Spring | ||

MAT 4113 | Computer Mathematical Topics | 3 |

Upper-division MAT or STA elective | 3 | |

American History core | 3 | |

Creative Arts core | 3 | |

Language, Philosophy & Culture core | 3 | |

Total Credit Hours: | 120.0 |

Note: Some courses are only offered once a year; fall or spring. Check with the Department of Mathematics for scheduling of courses.

# Course Sequence Guide for B.S. Degree in Mathematics with a General Mathematical Studies Concentration (with teacher certification)

This course sequence guide is designed to assist students in completing their UTSA undergraduate Mathematics degree requirements. *This is merely a guide and students must satisfy other requirements of this catalog and meet with *their *academic advisor* *for individualized degree plans.* Progress within this guide depends upon such factors as course availability, individual student academic preparation, student time management, work obligations, and individual financial considerations. Students may choose to take courses during Summer terms to reduce course loads during long semesters.

#### B.S. in Mathematics, General Mathematical Studies Concentration with teacher certification – Recommended Four-Year Academic Plan

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

Fall | Credit Hours | |

AIS 1203 | Academic Inquiry and Scholarship (core) | 3 |

GEM 1011 | GEEMS Mathematics/Science I | 1 |

MAT 1214 | Calculus I (core and major) | 4 |

WRC 1013 | Freshman Composition I (Q) (core) | 3 |

Approved support work | 3 | |

Life & Physical Sciences core | 3 | |

Spring | ||

GEM 1021 | GEEMS Mathematics/Science II | 1 |

MAT 1224 | Calculus II | 4 |

WRC 1023 | Freshman Composition II (Q) (core) | 3 |

Life & Physical Sciences core | 3 | |

Social & Behavioral Sciences core | 3 | |

Second Year | ||

Fall | ||

EDU 2103 | Social Foundations for Education in a Diverse U.S. Society ^{1} |
3 |

GEM 1031 | GEEMS Mathematics/Science III | 1 |

MAT 2214 | Calculus III | 4 |

MAT 3013 | Foundations of Mathematics | 3 |

American History core | 3 | |

Spring | ||

EDP 3203 | Learning and Development in the Secondary School Adolescent | 3 |

MAT 2233 | Linear Algebra | 3 |

MAT 3103 | Data Analysis and Interpretation | 3 |

Creative Arts core | 3 | |

Summer | ||

POL 1013 | Introduction to American Politics (core) | 3 |

Language, Philosophy & Culture core | 3 | |

Third Year | ||

Fall | ||

BBL 3403 | Cultural and Linguistic Equity for Schooling ^{1} |
3 |

MAT 3123 or 4263 | Fundamentals of Geometry (or Geometry) | 3 |

MAT 3233 or 4233 | Modern Algebra (or Modern Abstract Algebra) | 3 |

POL 1133 or 1213 | Texas Politics and Society (core) | 3 |

Upper-division MAT or STA elective | 3 | |

Spring | ||

MAT 3213 | Foundations of Analysis | 3 |

SPE 3603 | Introduction to Special Education ^{1} |
3 |

Upper-division MAT elective (not MAT 3253) | 3 | |

Upper-division MAT or STA elective | 3 | |

Component Area Option core | 3 | |

Summer | ||

MAT 4113 | Computer Mathematical Topics | 3 |

American History core | 3 | |

Fourth Year | ||

Fall | ||

C&I 4203 | Models of Teaching in the Content Areas of the Secondary School | 3 |

EDP 4203 | Assessment and Evaluation | 3 |

MAT 4213 | Real Analysis I | 3 |

MAT 4303 | Capstone Course for Mathematics | 3 |

LTED 3773 | Reading and Writing Across the Disciplines-Grades 7–12 | 3 |

Spring | ||

C&I 4646 | Clinical Teaching: Grades 7–12 | 6 |

Total Credit Hours: | 120.0 |

^{1} |
BBL 3403, EDU 2103, and SPE 3603 are not required if student is in the Generating Educational Excellence in Mathematics and Science (GEEMS) program. However, these courses must be replaced with upper-division MAT/STA electives. |

Note: Some courses are only offered once a year; fall or spring. Check with the Department of Mathematics for scheduling of courses.