Mathematics- Bachelor of Arts

For information, contact the Department of Mathematics, 123 Bachelor Hall, 513-529-5818.

Two degrees are offered: Bachelor of Arts and Bachelor of Science. For the Bachelor of Science, choose one of two majors: mathematics or mathematics and statistics. The A.B. in Mathematics requires all sections of the College of Arts and Science Requirement (CAS), while the B.S. has only the language requirement. Each program has the related hours requirement. All MTH and STA courses applied to your program, and all courses in the 12-hour section of the related hours, should be taken for grades, not credit/no-credit. In the MTH and STA courses, your GPA must be at least 2.00. Service courses do not figure into your GPA unless explicitly approved by the department.

Each degree requires the following introductory courses:

MTH 252Calculus III4
or MTH 252H Honors Calculus III
MTH 222Introduction to Linear Algebra2-3
or MTH 222T Introduction to Linear Algebra (Honors)
Total Credit Hours6-7

Program Requirements

This program requires at least 19 semester hours in MTH or STA courses numbered 300 or above with at least 16 hours at the 400 level, and must include:

Transition Course
MTH 331Proof: Introduction to Higher Mathematics3
Select one of the following:3-4
Introduction to Abstract Algebra
Real Analysis
Introduction to Complex Variables
Introduction to Topology
Select one of the following:3
Optimization
Mathematical Modeling Seminar
Combinatorial Designs and Coding Theory
Game Theory and Related Topics
Theory and Applications of Graphs
Combinatorics
Topics in Mathematical Finance
Numerical Analysis
Introduction to Applied Nonlinear Dynamics
Probability
Select one more course from those listed above. The course must lie on a line different from the previous two choices.3-4
Total Credit Hours12-14

At least 10 of the hours at the 400 level must be earned in MTH courses and at least 9 hours at the 400 level must be earned at Miami (not as a Credit/No Credit).

Additional courses that count in the 19-advanced hour requirement are those in the above lists together with:

MTH 347Differential Equations3
MTH 410/MTH 510Topics In Geometry3
MTH 411/MTH 511Foundations of Geometry3
MTH 420/MTH 520Topics in Algebra1-4
MTH 422/MTH 522Linear Algebra and Fields4
MTH 425/MTH 525Number Theory (MPC)3
MTH 440/MTH 540Topics in Analysis1-4
MTH 482Great Theorems of Mathematics3
MTH 483/MTH 583Introduction to Mathematical Logic3
MTH 486/MTH 586Introduction to Set Theory3
STA 462/STA 562Inferential Statistics3
STA 463/STA 563Regression Analysis4
STA 466/STA 566Experimental Design Methods4
STA 467/STA 567Statistical Learning3
STA 483/STA 583Analysis of Forecasting Systems3

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:

Tier 1 (Introductory Course)
MTH 331Proof: Introduction to Higher Mathematics3
MTH 347Differential Equations3
Tier 2 (Theory Course)
MTH 421/MTH 521Introduction to Abstract Algebra4
MTH 438/MTH 538Theory and Applications of Graphs3
MTH 441/MTH 541Real Analysis3
MTH 451/MTH 551Introduction to Complex Variables4
MTH 491/MTH 591Introduction to Topology3
Tier 3 (Capstone Course)
MTH 425/MTH 525Number Theory3
MTH 435/MTH 535Mathematical Modeling Seminar3
MTH 482Great Theorems of Mathematics3

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:

CSE 153Introduction to C/C++ Programming 13
CSE 163Introduction to Computer Concepts and Programming 13
CSE 174Fundamentals of Programming and Problem Solving 13
STA 402/STA 502Statistical Programming 23
MTH 408/MTH 508Mathematical Problem Solving with Technology 33
PHY 286Introduction to Computational Physics 43
1

 Any CSE course with one of CSE 153, 163, 174 as a prerequisite can be used to satisfy the programming requirement.

2

 STA 402 cannot be used to satisfy any other Mathematics or Mathematics and Statistics degree requirement if it is used toward the programming requirement.

3

 MTH 408 can only be used toward the programming requirement by students who have been admitted to an AYA teacher licensure cohort.

4

 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, 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:

  • Actuarial Science: ECO 201ECO 202ACC 221ACC 222FIN 301 (Students interested in an actuarial career are urged to complete the Minor in Actuarial Science, which will also satisfy this Related Area Requirement.)

  • Teacher Education: The secondary licensure program in The College of Education, Health, and Society (This option is available only for Integrated Mathematics Education Majors).

  • Accounting (ACC)

  • Chemistry (CHM)

  • Computer Science and Software Engineering (CSE)

  • Economics (ECO)

  • Electrical and Computer Engineering (ECE)

  • Physics (PHY)

  • 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, 202 McGuffey Hall, 513-529-6418.

To earn an A.B. degree in addition to teacher licensure, you must complete the requirements for the Bachelor of Arts degree as stated earlier, 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:

MTH 331Proof: Introduction to Higher Mathematics3
MTH 408/MTH 508Mathematical Problem Solving with Technology3
MTH 409/MTH 509Secondary Mathematics from an Advanced Perspective3
MTH 411/MTH 511Foundations of Geometry3
MTH 421/MTH 521Introduction to Abstract Algebra4
MTH 482Great Theorems of Mathematics3
STA 301Applied Statistics3
STA 401/STA 501Probability3

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.