Mathematics- Bachelor of Arts
For information, contact the Department of Mathematics, 123 Bachelor Hall, 513-529-5818.
The Bachelor of Arts program in Mathematics requires all sections of the College of Arts and Science Requirement (CAS) and the related hours requirement. 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.
Program Requirements: Bachelor of Arts
(9 prerequisite hours, 6-7 introductory hours, 19 major hours, 15 related hours; 40-50 total hours)
Each degree requires the following introductory courses:
| Code | Title | Credit Hours |
|---|---|---|
| MTH 252 | Calculus III 1 | 4 |
| MTH 222 | Introduction to Linear Algebra 2 | 2-3 |
| Total Credit Hours | 6-7 | |
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The Honors version of this course will also apply. Prerequisites include Calculus I and Calculus II.
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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 19 semester hours at the 300 level or above.
- The selected courses must include at least 16 hours at the 400 level.
- The selected courses must include at least 9 semester hours at the 400 level earned at Miami.
| Code | Title | Credit Hours |
|---|---|---|
| Transition Course | ||
| MTH 331 | Proof: Introduction to Higher Mathematics 1 | 3 |
| Theoretical Courses: | ||
| Take one of the following: | 3-4 | |
| Introduction to Abstract Algebra | ||
| Real Analysis | ||
| Take an unused theoretical course above or one of the following: | 3 | |
| Foundations of Geometry | ||
| Theory and Applications of Graphs | ||
| Introduction to Mathematical Logic | ||
| Introduction to Set Theory | ||
| Introduction to Topology | ||
| Applied Courses: | ||
| Take two of the following: | 6-7 | |
| Differential Equations | ||
| Optimization | ||
| Applied Linear Algebra | ||
| Combinatorics | ||
| Topics in Mathematical Finance | ||
| Introduction to Complex Variables | ||
| Numerical Analysis | ||
| Introduction to Partial Differential Equations | ||
| Introduction to Applied Nonlinear Dynamics | ||
| Probability | ||
| Elective Courses: | ||
| Select enough additional courses from the following list, or unused courses from the lists above, to meet the hours requirements stated above. | 2-4 | |
| Topics In Geometry | ||
| Topics in Algebra | ||
| Number Theory | ||
| Mathematical Modeling Seminar | ||
| Game Theory and Related Topics | ||
| Topics in Analysis | ||
| Great Theorems of Mathematics | ||
| Total Credit Hours | 19 | |
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The combination of MTH 222T and MTH331T may be taken in place of MTH 222 and MTH 331.
Students seeking the Bachelor of Arts in Mathematics meet the College of Arts and Science writing in the major requirement by completing at least one course from each of the following tiers:
| Code | Title | Credit Hours |
|---|---|---|
| Tier 1 (Introductory Course) | ||
| MTH 331 | Proof: Introduction to Higher Mathematics | 3 |
| MTH 347 | Differential Equations | 3 |
| Tier 2 (Theory Course) | ||
| MTH 421 | Introduction to Abstract Algebra | 4 |
| MTH 438 | Theory and Applications of Graphs | 3 |
| MTH 441 | Real Analysis | 3 |
| MTH 491 | Introduction to Topology | 3 |
| Tier 3 (Capstone Course) | ||
| MTH 425 | Number Theory | 3 |
| MTH 435 | Mathematical Modeling Seminar | 3 |
| MTH 482 | Great Theorems of Mathematics | 3 |
There is one exception that is possible. Students with transfer credit for MTH 331 and MTH 347, or students who are so well prepared as to skip these courses, may take a second course from Tier 2 in place of a Tier 1 course.
Related Hours
A program of related courses is intended to provide the student with opportunities to see and do mathematics or statistics in the context of other disciplines and, perhaps, enhance the student's employment prospects. The departmental requirement is for a program of at least 15 hours. Please note that all related area courses must be taken for a grade, not as credit/no credit. Each program includes two parts, as follows:
Part I: Computer Programming Requirement: Every major is required to demonstrate computer programming proficiency by passing one approved programming course. Approved courses include:
| Code | Title | Credit Hours |
|---|---|---|
| CSE 153 | Introduction to C/C++ Programming 1 | 3 |
| CSE 163 | Introduction to Computer Concepts and Programming 1 | 3 |
| CSE 174 | Fundamentals of Problem Solving and Programming 1 | 3 |
| STA 402 | Statistical Programming 2 | 3 |
| MTH 408 | Mathematical Problem Solving with Technology 3 | 3 |
| PHY 286 | Introduction to Computational Physics 4 | 3 |
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Any CSE course with one of CSE 153, 163, 174 as a prerequisite can be used to satisfy the programming requirement.
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STA 402 cannot be used to satisfy any other Mathematics or Mathematics and Statistics degree requirement if it is used toward the programming requirement.
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MTH 408 can only be used toward the programming requirement by students who have been admitted to an AYA teacher licensure cohort.
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PHY 286 can only be used toward the programming requirement by students who are also majoring in Physics.
Part II: Related Area Requirement: Every major must include in their program a cluster of courses in one area of study which mathematics or statistics is used. Minimally (but see Related Area Reduction below), the area is to consist of at least 12 credit hours, with at least 6 advanced hours. Advanced hours include all courses numbered 200 level or above in CHM, CSE, PHY, and all courses numbered 300 level or above in ACC, ECO, ECE, ISA, STA. Pre-approved related areas are listed below. If your interests are not accommodated by the pre-approved areas listed below, you may elect to design your own program of related courses. Such programs must be approved by the Chief Departmental Adviser in advance of applying for graduation. Pre-approved related areas include:
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Actuarial Science: ECO 201, ECO 202, ACC 221, ACC 222, FIN 301 (Students interested in an actuarial career are urged to complete the Minor in Actuarial Science, which will also satisfy this Related Area Requirement.)
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Teacher Education: The secondary licensure program in The College of Education, Health, and Society (This option is available only for Integrated Mathematics Education Majors).
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Accounting (ACC)
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Chemistry (CHM)
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Computer Science and Software Engineering (CSE)
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Economics (ECO)
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Electrical and Computer Engineering (ECE)
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Information Systems & Analytics (ISA)
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Physics (PHY)
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Statistics (STA)
Unless using the Actuarial Science or Teacher Education option, all related area hours must come from the same department. Students majoring in Mathematics (Bachelor of Arts or Bachelor of Science) may use statistics as their related area. There is no restriction on the statistics courses that can count (service courses are OK), but courses applied to the related area cannot also be counted towards the requirements of the major. On the other hand, students majoring in Mathematics and Statistics (Bachelor of Science) cannot use statistics as their related area. Students may simultaneously use any related area courses towards the university Thematic Sequence requirement, or toward a minor or second major. But, related area courses cannot be used towards the requirements of a Mathematics or Mathematics and Statistics major.
Related Area Reduction: Some students may want to have the flexibility to include in their program an additional course in mathematics or statistics. To that end, the cluster of related courses required can be reduced by up to 3 hours (of the 6 advanced hours) by taking the same number of hours in a MTH or STA course, numbered 400 or higher and listed among the possible courses to fulfill requirements of your chosen degree. This decision must be made in consultation with your adviser or one of the CDAs.
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 A.B. 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 A.B.) are automatically required to be in your academic program:
These courses must include:
| Code | Title | Credit Hours |
|---|---|---|
| MTH 331 | Proof: Introduction to Higher Mathematics | 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 A.B. degree. See the A.B. 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.