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 | |
| Restricted Electives | ||
| Computer Programming | ||
| Select one of the following: | 2-3 | |
| Introduction to Programming for Mathematical Problem-Solving | ||
| Introduction to Programming in C | ||
| Introduction to Programming in Java | ||
| Introduction to Programming in Python | ||
| Introduction to Software Design | ||
| Computational Methods in Biomedical Engineering 1 | ||
| Computational Engineering 1 | ||
| Engineering Analysis Using Numerical Methods 1 | ||
| 4000-Level Math Sequence/Cluster | ||
| MATH 4XXX & MATH 4XXX | Select a two-course sequence/cluster from the Table of 4000-Level Math Sequence/Cluster Options below | 6 |
| 4000-Level Math Electives 2 | ||
| MATH 4XXX & MATH 4XXX | Select six credits of 4000-level MATH subject to restrictions in the footnote below | 6 |
| Interdisciplinary Application of Mathematics Courses 3 | ||
| Create a 12-credit course plan. Must be approved by Math Traditional Option ("No Option") Chair. | 12 | |
| Subtotal | 26-27 | |
| Free Electives 4 | ||
| Select credits sufficient to achieve the 120 credit graduation requirement | 26-25 | |
| Subtotal | 26-25 | |
| 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 | ||
| Select three credits in Pathway 6a | 3 | |
| Select three credits in Pathway 6d | 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 | 47 | |
| Total Credits | 120 | |
| Code | Title | Credits |
|---|---|---|
| OPTION 1 | 6 | |
| Select two of the following: | ||
| Introduction to Abstract Algebra (fall only) | ||
| Number Theory (spring only) | ||
| Linear Algebra II (spring only) | ||
| Cryptography | ||
| Cryptography | ||
| Specialized Topics in Algebra (spring only) 5 | ||
| Graph Theory (fall only) 5 | ||
| Combinatorics (spring only) 5 | ||
| OPTION 2 | 6 | |
| Select two of the following: | ||
| Introduction to Numerical Analysis | ||
| Introduction to Numerical Analysis (spring only) | ||
| Issues in Scientific Computing (taught by math faculty in fall) | ||
| OPTION 3 | 6 | |
| Elementary Real Analysis (fall only) | ||
| Elementary Real Analysis (spring only) | ||
or MATH 4234 | Elementary Complex Analysis | |
| OPTION 4 | 6 | |
| Select two of the following: | ||
| Intermediate Differential Equations (fall only) | ||
| Chaos and Dynamical Systems (spring only) | ||
| Fourier Series and Partial Differential Equations (fall only) | ||
| Applied Mathematical Modeling (spring only) | ||
| OPTION 5 | 6 | |
| Fourier Series and Partial Differential Equations (fall only) | ||
| Fourier Series and Partial Differential Equations (spring only) | ||
Computer Programming: Courses marked with this footnote are restricted to students in majors outside of mathematics, and are generally taken by students who are majoring in math and another major.
4000-Level Math Electives: Select six credits of 4000-level MATH subject to the restrictions below:
Interdisciplinary Application of Mathematics Courses: See Undergraduate Handbook for Mathematics Majors for details.
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.
4000-Level Math Sequence/Cluster Option 1: 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.
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 Policy & Curriculum Committee and approved by the Chair.
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 |
| MATH 1454 | Introduction to Programming for Mathematical Problem-Solving (fall only) 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 |
| ENGL 1106 | First-Year Writing (Pathway 1f) | 3 |
| Pathway 2 | 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 |
| Pathway 3 | 3 | |
| Pathway 4 | BIOL, CHEM, GEOS, ISC, NEUR, PHYS, or PSYC | 3 |
| Pathway 6a | 3 | |
| Credits | 15 | |
| Spring Semester | ||
| MATH 2214 | Introduction to Differential Equations (Pathway 5a) | 3 |
| MATH 3034 | Introduction to Proofs | 3 |
| Pathway 4 | BIOL, CHEM, GEOS, ISC, NEUR, PHYS, or PSYC | 3 |
| Pathway 6d | 3 | |
| Free Elective | 3 | |
| ||
| Credits | 15 | |
| Third Year | ||
| Fall Semester | ||
| MATH 3124 | Modern Algebra | 3 |
| MATH 3214 | Calculus of Several Variables | 3 |
| Interdisciplinary Application of Mathematics Course 3 | 3 | |
| Pathway 1a | 3 | |
| Free Elective | 3 | |
| Credits | 15 | |
| Spring Semester | ||
| MATH 3144 | Linear Algebra I | 3 |
| MATH 3224 | Advanced Calculus | 3 |
| Interdisciplinary Application of Mathematics Course 3 | 3 | |
| Free Elective | 3 | |
| Free Elective | 3 | |
| Credits | 15 | |
| Fourth Year | ||
| Fall Semester | ||
| MATH 4XXX | 4000-Level Math Sequence/Cluster 4 | 3 |
| MATH 4XXX | 4000-Level Math Elective 5 | 3 |
| Interdisciplinary Application of Mathematics Course 3 | 3 | |
| Free Elective | 3 | |
| Free Elective | 3 | |
| Credits | 15 | |
| Spring Semester | ||
| MATH 4XXX | 4000-Level Math Sequence/Cluster 4 | 3 |
| MATH 4XXX | 4000-Level Math Elective 5 | 3 |
| Interdisciplinary Application of Mathematics Course 3 | 3 | |
| Free Elective | 3 | |
| Free Elective | 1 | |
| Credits | 13 | |
| Total Credits | 120 | |
MATH 1225 Calculus of a Single Variable is a corequisite for MATH 1454 Introduction to Programming for Mathematical Problem-Solving. Discuss choice of programming course with academic advisor.
The course selected in Pathway 7 may double-count with one other Pathway Concept if the selected course is also in another Pathway Concept.
See Interdisciplinary Application of Mathematics Courses footnote in Program Curriculum tab for details.
See Table of 4000-Level Math Sequence/Cluster Options in Program Curriculum tab for details.
See 4000-Level MATH Electives footnote in Program Curriculum tab for details.
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