Applied Mathematics - Bachelor of Science
This program provides an education in the contemporary use of mathematical and related computational methods for analyzing practical problems arising in engineering, economics, the sciences, and industry.
The students will develop a foundation in applied mathematics and computation that will allow them to build mathematical models and analyze data in real-world settings. Students choose electives in the sciences, technology, engineering or other areas of interest to complement and provide context for their mathematical training.
Program Requirements
Note: Students pursuing the Applied Mathematics major and the B.S. in Mathematics must have at least 15 distinct hours not included in the Mathematics major.
Note: Students pursuing the Applied Mathematics major and the B.S. in Mathematics and Statistics must have at least 15 distinct hours not included in the Mathematics and Statistics major.
Select courses from the lists below to meet the following hours requirements:
- The selected courses must include at least 27 semester hours at the 300 level or above.
- The selected courses must include at least 18 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 |
|---|---|---|
| Core Courses | ||
| MTH 222 | Introduction to Linear Algebra 1 | 3 |
| MTH 252 | Calculus III | 4 |
| MTH 253 | Introduction to Technical Computing | 1 |
| MTH 331 | Proof: Introduction to Higher Mathematics 1 | 3 |
| MTH 347 | Differential Equations 2 | 3 |
| MTH 441 | Real Analysis | 3 |
| Elective Courses | ||
| Select six of the following: | 18 | |
| Internship 3 | ||
or MTH 377 | Independent Studies | |
| Topics in Advanced Mathematics 4 | ||
| Optimization | ||
| Applied Linear Algebra | ||
| Mathematical Modeling Seminar | ||
| Theory and Applications of Graphs | ||
| Combinatorics | ||
| Topics in Mathematical Finance | ||
| Introduction to Complex Variables | ||
| Numerical Analysis | ||
| Introduction to Partial Differential Equations | ||
| Introduction to Applied Nonlinear Dynamics | ||
| Probability | ||
| Total Credit Hours | 35 | |
- 1
MTH 222 and MTH 331 can be substituted with the Honors versions of these courses, MTH 222T and MTH 331T, which must be taken concurrently.
- 2
Students who have taken MTH 245 or MTH 246 as a requirement for another major may substitute it for MTH 347 if MTH 455 or MTH 495 is taken as an elective course.
- 3
If an internship (MTH 340), Undergraduate Summer Scholar Program (MTH 340U), Dean’s Scholar Program, or Research Experience for Undergraduates (REU) was done for fewer than 3 credit hours, then to count it as one of the six elective courses, a student must do a post-activity independent study (MTH 377E or R) to bring the total up to 3 credit hours.
- 4
When this topics course is focused on applied mathematics.
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 Concepts and 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 | ||
| Algorithms | ||
| 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 | ||
| 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 Programming and Scripting for Data Analytics | ||
| 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 can’t 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 can’t be double-counted in electives and related courses.