Mathematics Bachelor of Arts
For information, contact the Department of Mathematics, 123 Bachelor Hall, 5135295818.
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 12hour section of the related hours, should be taken for grades, not credit/nocredit. 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:
Code  Title  Credit Hours 

MTH 252  Calculus III  4 
or MTH 252H  
MTH 222  Introduction to Linear Algebra  23 
or MTH 222T  Introduction to Linear Algebra (Honors)  
Total Credit Hours  67 
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:
Code  Title  Credit Hours 

Transition Course  
MTH 331  Proof: Introduction to Higher Mathematics  3 
Select one of the following:  34  
Introduction to Abstract Algebra  
Real Analysis  
or MTH 451  Introduction to Complex Variables  
Introduction to Topology  
Select one of the following:  3  
Optimization  
Mathematical Modeling Seminar  
Combinatorial Designs and Coding Theory  
or MTH 437  Game Theory and Related Topics  
or MTH 438  Theory and Applications of Graphs  
or MTH 439  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.  34  
Total Credit Hours  1214 
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 19advanced hour requirement are those in the above lists together with:
Code  Title  Credit Hours 

MTH 347  Differential Equations  3 
MTH 410  Topics In Geometry  3 
MTH 411  Foundations of Geometry  3 
MTH 420  Topics in Algebra  14 
MTH 422  Linear Algebra and Fields  4 
MTH 425  Number Theory (MPC)  3 
MTH 440  Topics in Analysis  14 
MTH 482  Great Theorems of Mathematics  3 
MTH 483  Introduction to Mathematical Logic  3 
MTH 486  Introduction to Set Theory  3 
STA 462  Inferential Statistics  3 
STA 463  Regression Analysis  4 
STA 466  Experimental Design Methods  4 
STA 467  Statistical Learning  3 
STA 483  Analysis of Forecasting Systems  3 
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 451  Introduction to Complex Variables  4 
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 Programming and Problem Solving ^{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 
^{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. Preapproved related areas are listed below. If your interests are not accommodated by the preapproved 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. Preapproved related areas include:

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.)

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, 5135296418.
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.