Bachelor of Science Degree in Mathematics

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.

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)

AIS 1203 Academic Inquiry and Scholarship 3
AIS 1213 AIS: Architecture, Construction, and Planning 3
AIS 1223 AIS: Arts and Humanities 3
AIS 1233 AIS: Business 3
AIS 1243 AIS: Engineering, Mathematics, and Sciences 3
AIS 1253 AIS: Interdisciplinary Education 3
AIS 1263 AIS: Life and Health Sciences 3
AIS 1273 AIS: Social Sciences and Public Policy 3

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

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:

CS 1173 Data Analysis and Visualization 3
MAT 1023 College Algebra with Applications 3
MAT 1043 Introduction to Mathematics 3
MAT 1053 Mathematics for Business 3
MAT 1073 Algebra for Scientists and Engineers 3
MAT 1093 Precalculus 3
MAT 1133 Calculus for Business 3
MAT 1193 Calculus for the Biosciences 3
MAT 1214 Calculus I 4
STA 1053 Basic Statistics 3

Life and Physical Sciences (6 Semester Credit hours)

Students must complete two of the following courses for a total of 6 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
CHE 1083 Introduction to the Molecular Structure of Matter 3
CHE 1093 Introduction to Molecular Transformations 3
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 1943 Physics for Scientists and Engineers I 3
PHY 1963 Physics for Scientists and Engineers II 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:

AAS 2013 Introduction to African American Studies 3
AAS 2113 African American Culture, Leadership and Social Issues 3
ANT 2063 Language, Thought, and Culture 3
ARC 1113 Introduction to the Built Environment 3
CHN 1014 Elementary Chinese I 4
CLA 2013 Introduction to Ancient Greece 3
CLA 2023 Introduction to Ancient Rome 3
CLA 2323 Classical Mythology 3
CSH 1103 Literary Masterpieces of Western Culture I 3
CSH 1113 Literary Masterpieces of Western Culture II 3
CSH 1213 Topics in World Cultures 3
CSH 2113 The Foreign Film 3
ENG 2013 Introduction to Literature 3
ENG 2023 Literature and Film 3
ENG 2213 Literary Criticism and Analysis 3
ENG 2383 Multiethnic Literatures of the United States 3
ENG 2423 Literature of Texas and the Southwest 3
ENG 2443 Persuasion and Rhetoric 3
FRN 1014 Elementary French I 4
FRN 2333 French Literature in English Translation 3
GER 1014 Elementary German I 4
GER 2333 German Literature in English Translation 3
GES 1023 World Regional Geography 3
GLA 1013 U.S. in the Global Arena 3
GRK 1114 Introductory Classical Greek I 4
HIS 2123 Introduction to World Civilization to the Fifteenth Century 3
HIS 2133 Introduction to World Civilization since the Fifteenth Century 3
HIS 2533 Introduction to Latin American Civilization 3
HIS 2543 Introduction to Islamic Civilization 3
HIS 2553 Introduction to East Asian Civilization 3
HIS 2573 Introduction to African Civilization 3
HIS 2583 Introduction to South Asian Civilization 3
HUM 2093 World Religions 3
ITL 1014 Elementary Italian I 4
ITL 2333 Italian Literature in English Translation 3
JPN 1014 Elementary Japanese I 4
LAT 1114 Introductory Latin I 4
MAS 2013 Introduction to Chicano(a) Studies 3
PHI 1043 Critical Thinking 3
PHI 2013 Basic Philosophical Problems 3
PHI 2023 Introduction to Ancient Philosophy 3
PHI 2033 Introduction to Early Modern Philosophy 3
PHI 2123 Contemporary Moral Issues 3
RUS 1014 Elementary Russian I 4
RUS 2333 Russian Literature in English Translation 3
SPN 1014 Elementary Spanish I 4
SPN 2333 Hispanic Literature in English Translation 3
WGSS 2013 Introduction to Women’s Studies 3
WGSS 2023 Introduction to LGBTQ Studies 3

Creative Arts (3 semester credit hours)

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

AHC 1113 Survey of Art and Architecture from Prehistoric Times to 1350 3
AHC 1123 Survey of Art and Architecture in Europe and the New World from 1350 to 1750 3
AHC 1133 Survey of Modern Art 3
ARC 1513 Great Buildings and Cities of the World 3
ARC 2413 History of Architecture I 3
ART 1103 Introduction to Visual Arts 3
BBL 2023 Latino Cultural Expressions 3
CLA 2033 Introduction to Classical Literature 3
DAN 2003 Introduction to Dance 3
HUM 2023 Introduction to the Humanities I 3
HUM 2033 Introduction to the Humanities II 3
HUM 2053 History of Film 3
MAS 2023 Latino Cultural Expressions 3
MUS 2243 World Music in Society 3
MUS 2633 American Roots Music 3
MUS 2653 Music in Culture 3
MUS 2663 History and Styles of Jazz 3
MUS 2673 History and Styles of Rock 3
MUS 2683 History and Styles of Western Art Music 3
MUS 2713 History of Recorded Music 3
MUS 2743 Music and Film 3
PHI 2073 Philosophy of Art 3

American History (6 semester credit hours)

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

HIS 1043 United States History: Pre-Columbus to Civil War Era 3
HIS 1053 United States History: Civil War Era to Present 3
HIS 2053 Texas History 3

Government-Political Science (6 semester credit hours)

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

POL 1013 Introduction to American Politics 3
and one of the following two courses:
POL 1133 Texas Politics and Society 3
POL 1213 Civil Rights in Texas and America 3

Social and Behavioral Sciences (3 semester credit hours)

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

AMS 2043 Approaches to American Culture 3
ANT 1013 Introduction to Anthropology 3
ANT 2043 Introduction to Archaeology 3
ANT 2053 Introduction to Cultural Anthropology 3
BBL 2003 Language, Culture, and Society 3
BBL 2243 Bilingual Families, Communities, and Schools: National and Transnational Experiences 3
BIO 1033 Drugs and Society 3
CRJ 1113 The American Criminal Justice System 3
ECO 2003 Economic Principles and Issues 3
ECO 2023 Introductory Microeconomics 3
EGR 1343 The Impact of Modern Technologies on Society 3
GES 1013 Fundamentals of Geography 3
GES 2623 Human Geography 3
HTH 2413 Introduction to Community and Public Health 3
HTH 2513 Personal Health 3
IDS 2113 Society and Social Issues 3
PSY 1013 Introduction to Psychology 3
SOC 1013 Introduction to Sociology 3
SOC 2013 Social Problems 3
SOC 2023 Social Context of Drug Use 3

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:

COM 2113 Public Speaking 3
EGR 1403 Technical Communication 3
ENG 2413 Technical Writing 3
PAD 1113 Public Administration and Policy in American Society 3
PHI 2043 Introductory Logic 3

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

A. Required Mathematics courses
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 1313 Algebra and Number Systems 3
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
B. Computer Science courses
Select one of the following: 3-4
Introduction to Computer Programming I
Computer Programming II
Computer Programming with Engineering Applications
C. Required Mathematics/Statistics courses
MAT 3613 Differential Equations I 3
MAT 3633 Numerical Analysis 3
MAT 4223 Real Analysis II 3
MAT 4233 Modern Abstract Algebra 3
MAT 4273 Topology 3
STA 3003 Applied Statistics 3
STA 3513 Probability and Statistics 3
D. 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
E. Electives
Select 20 or 21 semester credit hours of electives 20-21
Total Credit Hours 81

Course Sequence Guide for B.S. Degree in Mathematics

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 – 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
MAT 1313 Algebra and Number Systems 3
WRC 1013 Freshman Composition I (core) 3
American History core 3
Credit Hours 16
SPRING
MAT 1224 Calculus II 4
WRC 1023 Freshman Composition II (core) 3
Life & Physical Sciences core 3
Select one of the following: 3-4
CS 1063 Introduction to Computer Programming I
CS 1714 Computer Programming II
CS 2073 Computer Programming with Engineering Applications
Credit Hours 13-14
Second Year
FALL
MAT 2214 Calculus III 4
MAT 2233 Linear Algebra 3
Government-Political Science core 3
Life and Physical Sciences core 3
Free elective 3
Credit Hours 16
SPRING
MAT 3013 Foundations of Mathematics 3
STA 3003 Applied Statistics 3
Creative Arts core 3
Government-Political Science core 3
Free elective 3
Credit Hours 15
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
Credit Hours 15
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
Credit Hours 15
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
Credit Hours 15
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
Credit Hours 15-14
Total Credit Hours 120

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