Applied Mathematics (BS)
Students earning a B.S. in Applied Mathematics will acquire foundational knowledge in the field, as well as competency in the critical thinking, technological, and communication skills necessary for its application. Applied math is a dynamic discipline with applications to many fields, including Systems Biology, Data Mining and Data Privacy, Materials Science, Computer Animation and Digital Imaging, Finance and Economics, Ecology, Epidemiology, and Climatology, among others.
Curriculum
| Code | Title | Hours |
|---|---|---|
| Lower Level Course Requirements | ||
| MATH 161 | Calculus I | 4 |
| MATH 162 | Calculus II | 4 |
| or MATH 162A | Calculus II, Alternate | |
| MATH 263 | Multivariable Calculus | 4 |
| or MATH 263A | Multivariable Calculus, Alternate | |
| MATH 201 | Introduction to Discrete Mathematics & Number Theory | 3 |
| MATH 212 | Linear Algebra | 3 |
| MATH 215 | Object-Oriented Programming with Mathematics | 3 |
| MATH 264 | Ordinary Differential Equations | 3 |
| COMP 231 | Data Structures & Algorithms for Informatics | 3 |
| PHYS 121 & PHYS 111L | College Physics I with Calculus Lecture/Discussion and College Physics Laboratory I | 4 |
| Additional Science Requirements | ||
| Select one of the following: | 3 | |
| Human Origins | ||
| General Biology I | ||
| General Biology II | ||
| Chemical Structure and Properties | ||
| The Scientific Basis of Environmental Issues | ||
| College Physics II with Calculus Lecture/Discussion | ||
| Probability and Statistics Requirements | ||
| Select one of the following: | 6 | |
| Introduction to Probability & Statistics and Applied Regression Analysis | ||
| Introduction to Probability and Introduction to Mathematical Statistics | ||
| Upper Level Course Requirements | ||
| MATH 309 | Numerical Methods | 3 |
| MATH 356 | Mathematical Modeling | 3 |
| Electives A | ||
| Select two of the following: | 6 | |
| Combinatorics | ||
| Cryptography | ||
| Introduction to Financial Mathematics Derivatives | ||
| Introduction to Optimization | ||
| Introduction to Game Theory | ||
| Introduction to Partial Differential Equations | ||
| Applied Dynamical Systems | ||
| Computational Aspects of Modeling and Simulation | ||
| Special Topics in Mathematics (Must be approved beforehand) | ||
| Elective B | ||
| One elective chosen from any 300-level MATH or an approved 300-level STAT course | 3 | |
| Total Hours | 55 | |
Suggested Sequence of Courses
Note: This is only one possibility. Among other things, depending on initial math placement, which can range from MATH 100 to MATH 263, the schedule will look very different. Especially for students starting at MATH 161 or above, there is a lot of space to pursue a minor or even a second major.
| Year 1 | ||
|---|---|---|
| Fall | Hours | |
| MATH 161 | Calculus I | 4 |
| Additional Science Requirement | 3 | |
| Hours | 7 | |
| Spring | ||
| MATH 162 | Calculus II | 4 |
| MATH 201 | Introduction to Discrete Mathematics & Number Theory | 3 |
| Hours | 7 | |
| Year 2 | ||
| Fall | ||
| MATH 263 | Multivariable Calculus | 4 |
| MATH 215 | Object-Oriented Programming with Mathematics | 3 |
| PHYS 121 | College Physics I with Calculus Lecture/Discussion | 3 |
| PHYS 111L | College Physics Laboratory I | 1 |
| Hours | 11 | |
| Spring | ||
| MATH 212 | Linear Algebra | 3 |
| MATH 264 | Ordinary Differential Equations | 3 |
| COMP 231 | Data Structures & Algorithms for Informatics | 3 |
| Hours | 9 | |
| Year 3 | ||
| Fall | ||
| STAT 203 or MATH 304 |
Introduction to Probability & Statistics or Introduction to Probability |
3 |
| 300-level Applied Math Elective | 3 | |
| Hours | 6 | |
| Spring | ||
| STAT 308 or MATH 305 |
Applied Regression Analysis or Introduction to Mathematical Statistics |
3 |
| MATH 309 or MATH 356 |
Numerical Methods or Mathematical Modeling |
3 |
| Hours | 6 | |
| Year 4 | ||
| Fall | ||
| 300-level Applied Math Elective | 3 | |
| 300-level Math/Stat Elective | 3 | |
| Hours | 6 | |
| Spring | ||
| MATH 309 or MATH 356 |
Numerical Methods or Mathematical Modeling |
3 |
| For students in departmental honors: Additional 300-level math class | ||
| Hours | 3 | |
| Total Hours | 55 | |
Transfer-Student Residency Requirement
At least 21 credit hours of Applied Mathematics (BS) must be completed at Loyola.
College of Arts and Sciences Graduation Requirements
All Undergraduate students in the College of Arts and Sciences are required to take two Writing Intensive courses (6 credit hours) as well as complete a foreign language requirement at 102-level or higher (3 credit hours) or a language competency test. More information can be found here.
Additional Undergraduate Graduation Requirements
All Undergraduate students are required to complete the University Core, at least one Engaged Learning course, and UNIV 101. SCPS students are not required to take UNIV 101. Nursing students in the Accelerated BSN program are not required to take core or UNIV 101. You can find more information in the University Requirements area.
Learning Outcomes
- Students will have wide knowledge of and strong skills in using the methods and tools that form the foundation of applied math. These include calculus, linear algebra, and differential equations, as well as statistics and computer sciences.
- Students will acquire foundational knowledge of the language of formal mathematics and the ability to read and write rigorous and logical mathematical arguments.
- Students will be able to use applied mathematical knowledge in a wide variety of contexts. They will be able to model real-world situations mathematically, making appropriate choices as to the models and methods to employ. They will analyze these models with a variety of tools and interpret the results in a meaningful way. They will be able to present their findings in clear, professional language.
- Students will understand how the different areas and methods of applied math fit together. They will understand how these are used in modern applied mathematical settings and will also be able to fit them into a historical context.