2025-2026 Academic Catalog
Welcome to Virginia Tech! We are excited that you are here planning your time as a Hokie.
Welcome to Virginia Tech! We are excited that you are here planning your time as a Hokie.
| Code | Title | Credits |
|---|---|---|
| Degree Core Requirements | ||
| MATH 2114 | Introduction to Linear Algebra | 3 |
| MATH 2204 | Introduction to Multivariable Calculus | 3 |
| MATH 3034 | Introduction to Proofs | 3 |
| MATH 3124 | Modern Algebra | 3 |
| MATH 3144 | Linear Algebra I | 3 |
| MATH 3214 | Calculus of Several Variables | 3 |
| MATH 3224 | Advanced Calculus | 3 |
| Subtotal | 21 | |
| Option Required Courses | ||
| Mathematics | ||
| MATH 3134 | Applied Combinatorics and Graph Theory | 3 |
| Computer Science | ||
| CS 1114 | Introduction to Software Design | 3 |
| CS 2114 | Software Design and Data Structures (Pathway 6d) | 3 |
| CS 2505 | Introduction to Computer Organization | 3 |
| CS 3114 | Data Structures and Algorithms | 3 |
| CS 4104 | Data and Algorithm Analysis | 3 |
| or CS 4114 | Introduction to Formal Languages and Automata Theory | |
| or CS 4124 | Theory of Computation | |
| Statistics | ||
| STAT 4705 | Probability and Statistics for Engineers | 3 |
| or STAT 4714 | Probability and Statistics for Electrical Engineers | |
| or STAT 4105 | Theoretical Statistics | |
| 4000-Level Applied Discrete Math | 6 | |
| Select two of the following: | ||
| Introduction to Abstract Algebra | ||
| Number Theory | ||
| Linear Algebra II | ||
| Cryptography | ||
| Cryptography | ||
| Specialized Topics in Algebra 1 | ||
| Graph Theory 1 | ||
| Combinatorics 1 | ||
| 4000-Level Math Electives 2 | 6 | |
| Select six credits of 4000-level MATH subject to restrictions in the footnote below | ||
| Subtotal | 33 | |
| Free Electives 3 | ||
| Select credits sufficient to achieve the 120 credit graduation requirement | 22 | |
| Subtotal | 22 | |
| Pathways to General Education | ||
| Pathways Concept 1 - Discourse | ||
| ENGL 1105 | First-Year Writing (1F) | 3 |
| ENGL 1106 | First-Year Writing (1F) | 3 |
| Select three credits in Pathway 1a | 3 | |
| Pathways Concept 2 - Critical Thinking in the Humanities | ||
| Select six credits in Pathway 2 | 6 | |
| Pathways Concept 3 - Reasoning in the Social Sciences | ||
| Select six credits in Pathway 3 | 6 | |
| Pathways Concept 4 - Reasoning in the Natural Sciences | ||
| Select six credits from BIOL, CHEM, GEOS, ISC, NEUR, PHYS, and PSYC courses approved for Pathway 4 | 6 | |
| Pathways Concept 5 - Quantitative and Computational Thinking | ||
| MATH 1225 | Calculus of a Single Variable (5F) | 4 |
| MATH 1226 | Calculus of a Single Variable (5F) | 4 |
| MATH 2214 | Introduction to Differential Equations (5A) | 3 |
| Pathways Concept 6 - Critique and Practice in Design and the Arts | ||
| Software Design and Data Structures (6D) | ||
| Select three credits in Pathway 6a | 3 | |
| Pathways Concept 7 - Critical Analysis of Identity and Equity in the United States | ||
| Select three credits in Pathway 7 . The course selected in Pathway 7 may double-count with one other Pathway Concept if the selected course is also in another Pathway Concept. | 3 | |
| Subtotal | 44 | |
| Total Credits | 120 | |
4000-Level Applied Discrete Math: Students in their senior year, with a 3.0 or better GPA, may enroll in 5000-level courses satisfying undergraduate degree requirements within their department with the permission of the course instructor and the Department Head. Should the student become a graduate student, these courses may not be used on the Plan of Study for a graduate degree.
4000-Level Math Electives: Select six credits of 4000-level MATH subject to the restrictions below:
Free Electives: MATH 1004 Discovering Mathematics I (1 credit) and MATH 1044 Discovering Mathematics II (2 credits) are strongly recommended free electives for first-year math majors.
Satisfactory progress toward the B.S. in Mathematics requires:
120 Credits
Students are required to have a 2.0 overall GPA and a 2.0 in-major GPA for graduation. In-major GPA for this option is computed using all MATH courses with the exception of MATH 1014 Precalculus with Transcendental Functions, MATH 1025 Elementary Calculus, MATH 1026 Elementary Calculus, MATH 1214 Preparation for Calculus, MATH 1454 Introduction to Programming for Mathematical Problem-Solving, MATH 1524 Business Calculus, MATH 1535 Geometry and Mathematics of Design, MATH 1536 Geometry and Mathematics of Design, MATH 1614 Numbers and Operations for Teachers, MATH 1624 Geometry for Teachers, MATH 2534 Introduction to Discrete Mathematics, MATH 2644 Mathematics Tutoring, MATH 4574 Vector and Complex Analysis for Engineers, MATH 4625 Mathematics for Secondary Teachers, MATH 4626 Mathematics for Secondary Teachers, MATH 4644 Secondary School Mathematics With Technology, and MATH 4664 Senior Math Education Seminar.
Each student is required to participate in the department’s Outcomes Assessment procedures as determined by each year’s Undergraduate Program Committee and approved by the Chair.
MATH 2405H Mathematics in a Computational Context may be substituted for MATH 2114 Introduction to Linear Algebra.
MATH 2405H Mathematics in a Computational Context and MATH 2406H Mathematics in a Computational Context (both courses must be taken) may be substituted for MATH 2114 Introduction to Linear Algebra and MATH 2204 Introduction to Multivariable Calculus and MATH 2214 Introduction to Differential Equations.
CS 2064 Intermediate Programming in Python may be substituted for CS 1114 Introduction to Software Design.
CS 4414 Issues in Scientific Computing is cross-listed with MATH 4414 Issues in Scientific Computing , so CS 4414 may be substituted for MATH 4414.
Students who did not successfully complete at least two years of a single foreign, classical, or sign language during high school must successfully complete six credit hours of a single foreign, classical, or sign language at the college level. Courses taken to meet this requirement do not count toward the hours required for graduation. Please consult the Undergraduate Catalog for details.
A total of 120 credits are required for graduation. There is considerable flexibility in designing a program of study. The example below is not likely to fit every situation and is provided for information as you develop your own plan with your academic advisor.
| First Year | ||
|---|---|---|
| Fall Semester | Credits | |
| MATH 1225 | Calculus of a Single Variable (Pathway 5f) | 4 |
| MATH 1004 | Discovering Mathematics I (Free Elective - strongly recommended for math majors, fall only) | 1 |
| CS 1114 | Introduction to Software Design 1 | 3 |
| ENGL 1105 | First-Year Writing (Pathway 1f) | 3 |
| Pathway 2 | 3 | |
| Pathway 3 | 3 | |
| Credits | 17 | |
| Spring Semester | ||
| MATH 1226 | Calculus of a Single Variable (Pathway 5f) | 4 |
| MATH 1044 | Discovering Mathematics II (Free Elective - strongly recommended for math majors, spring only) | 2 |
| CS 2114 | Software Design and Data Structures (Pathway 6d) | 3 |
| ENGL 1106 | First-Year Writing (Pathway 1f) | 3 |
| Pathway 7 2 | 3 | |
| Credits | 15 | |
| Second Year | ||
| Fall Semester | ||
| MATH 2114 | Introduction to Linear Algebra | 3 |
| MATH 2204 | Introduction to Multivariable Calculus | 3 |
| CS 2505 | Introduction to Computer Organization | 3 |
| Pathway 3 | 3 | |
| Pathway 4 | BIOL, CHEM, GEOS, ISC, NEUR, PHYS, or PSYC | 3 |
| Credits | 15 | |
| Spring Semester | ||
| MATH 2214 | Introduction to Differential Equations (Pathway 5a) | 3 |
| MATH 3034 | Introduction to Proofs | 3 |
| CS 3114 | Data Structures and Algorithms | 3 |
| Pathway 2 | 3 | |
| Pathway 4 | BIOL, CHEM, GEOS, ISC, NEUR, PHYS, or PSYC | 3 |
| Credits | 15 | |
| Third Year | ||
| Fall Semester | ||
| MATH 3124 | Modern Algebra | 3 |
| MATH 3214 | Calculus of Several Variables | 3 |
| MATH 3134 | Applied Combinatorics and Graph Theory | 3 |
| STAT 4705 | Probability and Statistics for Engineers 3 or Probability and Statistics for Electrical Engineers or Theoretical Statistics | 3 |
| Free Elective | 3 | |
| Credits | 15 | |
| Spring Semester | ||
| MATH 3144 | Linear Algebra I | 3 |
| MATH 3224 | Advanced Calculus | 3 |
| CS 4104 | Data and Algorithm Analysis or Introduction to Formal Languages and Automata Theory or Theory of Computation | 3 |
| Free Elective | 3 | |
| Free Elective | 3 | |
| Credits | 15 | |
| Fourth Year | ||
| Fall Semester | ||
| MATH 4XXX | 4000-Level Applied Discrete Math 4 | 3 |
| MATH 4XXX | 4000-Level Math Elective 5 | 3 |
| Pathway 1a | 3 | |
| Free Elective | 3 | |
| Free Elective | 3 | |
| Credits | 15 | |
| Spring Semester | ||
| MATH 4XXX | 4000-Level Applied Discrete Math 4 | 3 |
| MATH 4XXX | 4000-Level Math Elective 5 | 3 |
| Pathway 6a | 3 | |
| Free Elective | 3 | |
| Free Elective | 1 | |
| Credits | 13 | |
| Total Credits | 120 | |
CS 1114 Introduction to Software Design is the recommended prerequisite for CS 2114 Software Design and Data Structures. CS 2064 Intermediate Programming in Python is an acceptable substitution for CS 1114 Introduction to Software Design. Note that CS 2064 Intermediate Programming in Python has a prerequisite of CS 1064 Introduction to Programming in Python.
The courses selected in Pathway 7 may double-count with one other Pathway Concept if the selected course is also in another Pathway Concept.
Consult prerequisites for STAT 4105 Theoretical Statistics.
See 4000-Level Applied Discrete Math section in Program Curriculum tab for details.
See 4000-Level Math Electives footnote in Program Curriculum tab for details.
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