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 | ||
| 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 | ||
| Mathematics 2 | ||
| MATH 4425 | Fourier Series and Partial Differential Equations | 3 |
| or CMDA 4604 | Intermediate Topics in Mathematical Modeling | |
| MATH 4426 | Fourier Series and Partial Differential Equations | 3 |
| or MATH 4414 | Issues in Scientific Computing | |
| or MATH 4454 | Applied Mathematical Modeling | |
| MATH 4445 | Introduction to Numerical Analysis | 3 |
| MATH 4446 | Introduction to Numerical Analysis | 3 |
| Subtotal | 14-15 | |
| Interdisciplinary Application of Mathematics 3 | ||
| Create a 12-credit course plan. Must be approved by Math ACM Option Chair. | 12 | |
| Subtotal | 12 | |
| Free Electives 4 | ||
| Select sufficient credits 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 | |
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.
Option Required Mathematics: Check prerequisites for MATH 4414 and MATH 4454 carefully. MATH 4414 is usually taught by math faculty in the fall while MATH 4454 is usually only taught in the spring. Any programming course will suffice as the programming prerequisite for MATH 4454.
Interdisciplinary Application of Mathematics: 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.
Satisfactory progress toward the B.S. in Mathematics requires that:
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 |
| Free Elective | 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 6a | 3 | |
| Pathway 6d | 3 | |
| ||
| Credits | 15 | |
| Third Year | ||
| Fall Semester | ||
| MATH 3144 | Linear Algebra I | 3 |
| MATH 3214 | Calculus of Several Variables | 3 |
| MATH 4445 | Introduction to Numerical Analysis | 3 |
| Interdisciplinary Application of Mathematics Course 3 | 3 | |
| Pathway 1a | 3 | |
| Credits | 15 | |
| Spring Semester | ||
| MATH 3224 | Advanced Calculus | 3 |
| MATH 4446 | Introduction to Numerical Analysis (spring only) | 3 |
| Interdisciplinary Application of Mathematics Course 3 | 3 | |
| Free Elective | 3 | |
| Free Elective | 3 | |
| Credits | 15 | |
| Fourth Year | ||
| Fall Semester | ||
| MATH 3124 | Modern Algebra | 3 |
| MATH 4425 or CMDA 4604 | Fourier Series and Partial Differential Equations (fall only) or Intermediate Topics in Mathematical Modeling | 3 |
| Interdisciplinary Application of Mathematics Course 3 | 3 | |
| Free Elective | 3 | |
| Free Elective | 3 | |
| Credits | 15 | |
| Spring Semester | ||
| MATH 4426 | Fourier Series and Partial Differential Equations (spring only) 4 or Issues in Scientific Computing or Applied Mathematical Modeling | 3 |
| Interdisciplinary Application of Mathematics Course 3 | 3 | |
| Free Elective | 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 Course Plan footnote in Program Curriculum tab for details.
Review prerequisites carefully for these course options. MATH 4426 and MATH 4454 are taught only in the spring. MATH 4414 is typically taught by math faculty in the fall.
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