Mathematics- Bachelor of Science
For information, contact the Department of Mathematics, mathematics@miamioh.edu, 513-529-5818.
The Bachelor of Science in Mathematics includes the related hours requirement as well as the foreign language requirement from the College of Arts and Science (CAS) Requirements. All MTH and STA courses applied to the program and all courses in the 12-hour section of the related hours must be taken for grades, not credit/no-credit. In the MTH and STA courses, the GPA must be at least 2.00. Service courses do not figure into the GPA unless explicitly approved by the department.
Note: Students pursuing the B.S. in Mathematics are permitted to double-major in B.A. in Mathematics, B.S. in Mathematics and Statistics, or B.S. in Applied Mathematics, provided they have at least 15 distinct hours not included in the B.S. Mathematics major.
Program Requirements: Bachelor of Science
(14-16 prerequisite and introductory hours, 28 major hours, and 12 related hours; 54-56 total hours)
Each degree requires the following prerequisite and introductory courses:
| Code | Title | Credit Hours |
|---|---|---|
| MTH 151 | Calculus I 1 | 4 |
| MTH 251 | Calculus II 1 | 4-5 |
| or MTH 249 | Calculus II | |
| MTH 252 | Calculus III 1 | 4 |
| MTH 222 | Introduction to Linear Algebra 2 | 2-3 |
| or MTH 222T | ||
| Total Credit Hours | 14-16 | |
- 1
The Honors version of this course will also apply.
- 2
The combination of MTH 222T and MTH331T may be taken in place of MTH 222 and MTH 331.
Select courses from the lists below to meet the following hours requirements:
- The selected courses must include at least 28 semester hours at the 300 level or above.
- The selected courses must include at least 22 semester hours at the 400 level.
- The selected courses must include at least 12 semester hours at the 400 level earned at Miami.
| Code | Title | Credit Hours |
|---|---|---|
| All of the following courses are required. | ||
| MTH 331 | Mathematical Reasoning | 3 |
| MTH 421 | Introduction to Abstract Algebra | 4 |
| MTH 441 | Real Analysis | 3 |
| Select at least two of the following theoretical courses. | 6-7 | |
| Foundations of Geometry | ||
| Number Theory | ||
| Theory and Applications of Graphs | ||
| Introduction to Mathematical Logic | ||
| Introduction to Set Theory | ||
| Introduction to Topology | ||
| Select at least two of the following applied courses. | 6-7 | |
| Differential Equations | ||
| Optimization | ||
| Applied Linear Algebra | ||
| Mathematical Modeling Seminar | ||
| Combinatorics | ||
| Topics in Mathematical Finance | ||
| Introduction to Complex Variables | ||
| Numerical Analysis | ||
| Introduction to Partial Differential Equations | ||
| Introduction to Applied Nonlinear Dynamics | ||
| Probability | ||
| Select enough additional courses from the following list, or from the lists above, to meet the hours requirement stated above. 3 | 4-6 | |
| Topics In Geometry | ||
| Topics in Algebra | ||
| Game Theory and Related Topics | ||
| Topics in Analysis | ||
| Great Theorems of Mathematics | ||
| Total Credit Hours | 28 | |
- 3
Up to two semester hours from MTH 430 or MTH 477 may also be counted towards the hours requirements.
Related Hours
This requirement is intended to promote scientific breadth and encourage application of mathematics to other fields. All related hours courses must be taken for a grade, not as credit/no credit.
| Code | Title | Credit Hours |
|---|---|---|
| Computer Programming | ||
| Select one of the following: | 3 | |
| Introduction to C/C++ Programming | ||
| Introduction to Computer Programming | ||
| Fundamentals of Problem Solving and Programming | ||
| Related Courses | ||
| Select at least 9 credit hours from the courses listed below. Or complete a major, co-major, or minor outside of the Department of Mathematics. 1 | 9 | |
Computer Science | ||
| Data Abstraction and Data Structures | ||
| Mathematics and Computer Science | ||
| Algorithms I | ||
| Machine Learning | ||
| Automata, Formal Languages, and Computability | ||
Electrical Engineering | ||
| Electric Circuit Analysis I | ||
or any ECE course numbered 301 or above | ||
Economics | ||
| Principles of Microeconomics | ||
| Principles of Macroeconomics | ||
| Intermediate Microeconomic Theory | ||
| Intermediate Macroeconomic Theory | ||
| Mathematical Economics | ||
| Game Theory with Economic Applications | ||
Finance | ||
| Introduction to Business Finance | ||
| Principles of Investments and Security Markets | ||
| Fixed-Income Portfolio Management | ||
| Portfolio Management | ||
| Forward, Futures and Derivatives | ||
Geography | ||
| Introduction to Geographic Information Systems | ||
| Advanced Geographic Information Systems | ||
| Python Programming for Geospatial Applications | ||
| Techniques and Applications of Remote Sensing | ||
Linguistics | ||
| Special Topics in Language Awareness 2 | ||
| Capstone in Linguistics | ||
Physics | ||
| General Physics I and General Physics Laboratory I | ||
| General Physics II and General Physics Laboratory II | ||
| Contemporary Physics I: Foundations | ||
| Contemporary Physics II: Frontiers | ||
| Introduction to Computational Physics | ||
or any PHY course numbered 421 or above | ||
Statistics | ||
| Applied Statistics | ||
| Introduction to Statistical Modeling | ||
or any STA course numbered 401 or above 3 | ||
| Total Credit Hours | 12 | |
- 1
Related courses may be reduced by up to 3 credit hours with the approval of the department if professional or research experience is gained, for example, through an internship (MTH 340), Undergraduate Summer Scholar Program (MTH 340U), Dean’s Scholar Program, or Research Experience for Undergraduates (REU). The same pre-approved activity cannot be double-counted in electives and obtain a related courses reduction.
If students’ interests are not accommodated by the pre-approved courses listed here, they may petition the Department of Mathematics to apply another course or courses toward the related hours requirement.
- 2
Only LIN 210F, Computational Linguistics, applies.
- 3
STA 401 cannot be double-counted in electives and related courses.
Teacher Licensure
Students who wish to combine teacher licensure with a major in the Department of Mathematics should apply for admission to a licensure cohort as outlined in the College of Education, Health and Society chapter. For information, contact the Office of Student Services in the College of Education, Health and Society.
To earn an B.A. degree in addition to teacher licensure, you must complete the requirements for the Bachelor of Arts degree, while also satisfying your professional education course requirements. As a consequence, the following courses (not all of which apply toward the B.A.) are automatically required to be in your academic program:
These courses must include:
| Code | Title | Credit Hours |
|---|---|---|
| MTH 331 | Mathematical Reasoning | 3 |
| MTH 408/MTH 508 | Mathematical Problem Solving with Technology | 3 |
| MTH 409/MTH 509 | Secondary Mathematics from an Advanced Perspective | 3 |
| MTH 411/MTH 511 | Foundations of Geometry | 3 |
| MTH 421/MTH 521 | Introduction to Abstract Algebra | 4 |
| MTH 482 | Great Theorems of Mathematics | 3 |
| STA 301 | Applied Statistics | 3 |
| STA 401/STA 501 | Probability | 3 |
One additional course is required for completion of the B.A. degree. See the B.A. requirements for details about the selection of this course.
To earn a B.S. degree in addition to teacher licensure, you must complete the requirements for the B.S. in Mathematics or the B.S. in Mathematics and Statistics. Each of these programs requires four or five additional courses. See the B.S. requirements for details about the selection of these courses.