The department of Applied Mathematics and Statistics (AMS) offers a broad undergraduate and graduate curriculum that emphasizes several branches of applied mathematics:
- Probability: the mathematical representation and modeling of uncertainty
- Statistics: the analysis and interpretation of data
- Operations Research: the design, analysis, and improvement of operations and processes
- Optimization: the determination of best or optimal decisions
- Discrete Mathematics: the study of finite structures, arrangements, and relations
- Scientific Computation: all aspects of numerical computing in support of the sciences
- Financial Mathematics: deriving, analyzing, and extending mathematical models of financial markets
RESEARCH
The Applied Mathematics and Statistics faculty welcome students interested in doing research. The course 553.101 Freshman Experience in Applied Mathematics and Statistics is an excellent way to meet faculty in very small groups, and topics discussed might lead to research. Also, there is an upper-level class EN.553.401 Introduction to Research in Applied Mathematics and Statistics which guides students through the research process and has often led to publications in good journals and presentations at national conferences.
AFTER GRADUATION
Students who have graduated with a degree in AMS have gone to many different fields, such as:
- Actuarial profession
- Analyst for a financial institution
- Operations research and consulting
- Biostatistician working with a pharmaceutical company
- Information security
- Applied mathematician in industry
- Applied mathematician in a policy/regulatory agency
- Data analyst
- Graduate school
- Medical school
- Law school
The information below describes the academic requirements for students entering JHU as degree-seeking students in Fall 2024. Students who entered JHU as degree-seeking students prior to Fall 2024 should view the appropriate archived catalogue.
Students must meet the University requirements and the Whiting School of Engineering requirements (see Requirements for a Bachelor's Degree in this catalogue), as well as the departmental major requirements, to complete a bachelor’s degree.
The Bachelor of Science in Applied Mathematics and Statistics requires 120 credits.
The AMS department recognizes students with exemplary academic records by awarding Departmental Honors to students with a Grade Point Average of 3.75 or higher in AMS courses (EN.553.xxx) and meet one of the options:
- Earn a C- or better in an additional AMS course (EN.553.xxx) that is at least 300-level or higher
- Undertake significant research activity (equivalent to a 3-credit course) in applied mathematics
UNIVERSITY AND WSE SCHOOL REQUIREMENTS
These requirements are described in this section of the catalogue.
First-Year Seminar (FYS)
All students entering Hopkins from high school are required to complete a First-Year Seminar with a Satisfactory (S) grade in their first year of study. First-Year Seminars are offered only with the Satisfactory/Unsatisfactory grading system; they are not offered for letter grades.
| Code | Title | Credits |
|---|---|---|
| One FYS course. Recommended course: | 2-3 | |
| FYS: Math in the Movies | ||
| Total Credits | 2-3 | |
Writing Intensive for BS in Applied Mathematics and Statistics
A grade of C- or higher is required. No Satisfactory/Unsatisfactory grades will be accepted. Courses must be at least 3 credits each and courses applied here may also be used towards satisfying the Distribution requirement.
| Code | Title | Credits |
|---|---|---|
| Two Writing Intensive (W) courses | 6 | |
| Total Credits | 6 | |
Distribution for BS in Applied Mathematics and Statistics
A grade of D or higher is required. Satisfactory/Unsatisfactory grading is accepted as long as the student passes with a Satisfactory. Courses must be at least 3 credits each and may overlap with the Writing Intensive requirement. Elementary language courses, which do not carry an area designator, can be used to satisfy the Distribution requirement for engineering students.
| Code | Title | Credits |
|---|---|---|
| Six Humanities (H) or Social Science (S) courses | 18 | |
| Total Credits | 18 | |
MAJOR REQUIREMENTS
A grade of C- or higher is required. No Satisfactory/Unsatisfactory (S/U) grade will be accepted. All 600-level courses will satisfy the requirement for their 400-level equivalents.
CALCULUS
| Code | Title | Credits |
|---|---|---|
| AS.110.108 | Calculus I (Physical Sciences & Engineering) | 4 |
| AS.110.109 | Calculus II (For Physical Sciences and Engineering) | 4 |
| or AS.110.113 | Honors Single Variable Calculus | |
| AS.110.202 | Calculus III | 4 |
| or AS.110.211 | Honors Multivariable Calculus | |
| Total Credits | 12 | |
LINEAR ALGEBRA
| Code | Title | Credits |
|---|---|---|
| Complete one of the courses: | 4 | |
| Linear Algebra | ||
or AS.110.212 | Honors Linear Algebra | |
| Linear Algebra and Differential Equations 1 | ||
| Linear Algebra for Data Science (preferred) 2 | ||
| Total Credits | 4 | |
- 1
Students who earned credit for AS.110.302 Differential Equations and Applications cannot receive credits for EN.553.291 Linear Algebra and Differential Equations.
- 2
EN.553.295 Linear Algebra for Data Science is the preferred course for the Linear Algebra requirement.
DIFFERENTIAL EQUATIONS
| Code | Title | Credits |
|---|---|---|
| Complete one of the courses: | 3-4 | |
| Differential Equations and Applications 1 | ||
| Dynamical Systems | ||
| Numerical Analysis | ||
| Dynamical Systems | ||
| Mathematical Biology | ||
| Total Credits | 3-4 | |
- 1
Students who earned credits for EN.553.291 Linear Algebra and Differential Equations cannot receive credits for AS.110.302 Differential Equations and Applications.
COMPUTER LANGUAGES AND PROGRAMMING
| Code | Title | Credits |
|---|---|---|
| Complete one of the courses: | 3-4 | |
| Gateway Computing: Python 1 | ||
or EN.500.112 | Gateway Computing: JAVA | |
or EN.500.114 | Gateway Computing: Matlab | |
| Intermediate Programming | ||
| Total Credits | 3-4 | |
- 1
EN.500.113 Gateway Computing: Python is strongly preferred and should be taken in the first semester.
COMPUTATIONAL AND NUMERICAL MATHEMATICS
| Code | Title | Credits |
|---|---|---|
| Complete one of the courses: | 4 | |
| Introduction to Computational Mathematics | ||
| Numerical Linear Algebra | ||
| Numerical Analysis | ||
| Total Credits | 4 | |
DISCRETE MATHEMATICS
| Code | Title | Credits |
|---|---|---|
| Complete one of the courses: | 4 | |
| Discrete Mathematics 1 | ||
or EN.553.172 | Honors Discrete Mathematics | |
| Cryptology and Coding | ||
| Combinatorial Analysis 2 | ||
| Graph Theory 2 | ||
| Total Credits | 4 | |
- 1
For CS double majors: Students should take EN.553.171 Discrete Mathematics/EN.553.172 Honors Discrete Mathematics before taking EN.601.230 Mathematical Foundations for Computer Science. If EN.601.230 is taken before declaring the CS double major, students cannot take EN.553.171/172. To satisfy the Discrete Mathematics requirement, students must take either EN.553.371 Cryptology and Coding, EN.553.471 Combinatorial Analysis, or EN.553.472 Graph Theory.
- 2
Students planning to continue to graduate school in an applied mathematics program are encouraged to consider taking a graduate-level course in Discrete Mathematics (EN.553.671 Combinatorial Analysis or EN.553.672 Graph Theory).
PROBABILITY AND STATISTICS
| Code | Title | Credits |
|---|---|---|
| EN.553.420 | Probability 1 | 4 |
| or EN.553.421 | Honors Probability | |
| EN.553.430 | Mathematical Statistics 1 | 4 |
| or EN.553.431 | Honors Mathematical Statistics | |
| Total Credits | 8 | |
- 1
Students planning to continue to graduate school in an applied mathematics program are encouraged to consider taking graduate-level courses in Probability (EN.553.720 Probability Theory I or EN.553.721 Probability Theory II) and/or Statistics (EN.553.730 Statistical Theory I or EN.553.731 Statistical Theory II).
OPTIMIZATION
| Code | Title | Credits |
|---|---|---|
| EN.553.361 | Introduction to Optimization I 1 | 4 |
| Total Credits | 4 | |
- 1
Students planning to continue to graduate school in an applied mathematics program are encouraged to consider taking a graduate-level course in Optimization (EN.553.761 Nonlinear Optimization I or EN.553.762 Nonlinear Optimization II).
AREA OF FOCUS
| Code | Title | Credits |
|---|---|---|
| Complete two courses from one Area of Focus (see below) | 6-8 | |
| Total Credits | 6-8 | |
Computational Mathematics
| Code | Title | Credits |
|---|---|---|
| AS.110.445 | Mathematical and Computational Foundations of Data Science | 3 |
| EN.553.433 | Monte Carlo Methods | 4 |
| EN.553.480 | Numerical Linear Algebra | 4 |
| EN.553.481 | Numerical Analysis | 4 |
| EN.553.493 | Mathematical Image Analysis | 4 |
Discrete Mathematics
| Code | Title | Credits |
|---|---|---|
| AS.110.401 | Introduction to Abstract Algebra | 4 |
| AS.110.411 | Honors Algebra I | 4 |
| EN.553.371 | Cryptology and Coding | 4 |
| EN.553.463 | Network Models in Operations Research | 4 |
| EN.553.471 | Combinatorial Analysis | 4 |
| EN.553.472 | Graph Theory | 4 |
Financial Mathematics
| Code | Title | Credits |
|---|---|---|
| EN.553.427 | Stochastic Processes and Applications to Finance I | 4 |
| EN.553.441 | Equity Markets and Quantitative Trading | 3 |
| EN.553.442 | Investment Science | 4 |
| EN.553.444 | Introduction to Financial Derivatives | 4 |
| EN.553.445 | Interest Rate and Credit Derivatives | 4 |
| EN.553.447 | Quantitative Portfolio Theory and Performance Analysis | 4 |
| EN.553.449 | Advanced Equity Derivatives | 4 |
| EN.553.488 | Computing for Applied Mathematics | 3 |
Optimization and Operations Research
| Code | Title | Credits |
|---|---|---|
| EN.553.362 | Introduction to Optimization II | 4 |
| EN.553.400 | Mathematical Modeling and Consulting | 4 |
| EN.553.453 | Mathematical Game Theory | 4 |
| EN.553.463 | Network Models in Operations Research | 4 |
| EN.553.465 | Introduction to Convexity | 4 |
Probability and Stochastic Process
| Code | Title | Credits |
|---|---|---|
| AS.110.405 | Real Analysis I | 4 |
| AS.110.445 | Mathematical and Computational Foundations of Data Science | 3 |
| EN.553.426 | Introduction to Stochastic Processes | 4 |
| EN.553.427 | Stochastic Processes and Applications to Finance I | 4 |
| EN.553.433 | Monte Carlo Methods | 4 |
| EN.553.492 | Mathematical Biology | 3 |
Statistics and Statistical Learning
| Code | Title | Credits |
|---|---|---|
| AS.110.445 | Mathematical and Computational Foundations of Data Science | 3 |
| EN.553.400 | Mathematical Modeling and Consulting | 4 |
| EN.553.402 | Research and Design in Applied Mathematics: Data Mining | 4 |
| EN.553.413 | Applied Statistics & Data Analysis I | 4 |
| EN.553.414 | Applied Statistics and Data Analysis II | 3 |
| EN.553.432 | Bayesian Statistics | 3 |
| EN.553.433 | Monte Carlo Methods | 4 |
| EN.553.436 | Introduction to Data Science | 4 |
| EN.553.439 | Time Series Analysis | 3 |
| EN.553.450 | Computational Molecular Medicine | 4 |
QUANTITATIVE STUDIES
A grade of C- or higher is required. No Satisfactory/Unsatisfactory (S/U) grade will be accepted. Courses used to meet the requirements above may be counted towards the 40 required credits.
| Code | Title | Credits |
|---|---|---|
| Courses with Quantitative Studies area designation that are any level | 22 | |
| Courses with Quantitative Studies area designation that are 300-level or higher | 18 | |
| Total Credits | 40 | |
NATURAL SCIENCES
A grade of D or higher is required. Courses that are only offered as Satisfactory/Unsatisfactory (S/U) grading methods may be accepted. Courses used to meet the requirements above may be counted.
| Code | Title | Credits |
|---|---|---|
| Courses with Natural Science area designation | 12 | |
| Total Credits | 12 | |
FREE ELECTIVES
| Code | Title | Credits |
|---|---|---|
| Elective courses to reach 120 credits | ||
Sample Program
| First Year | |||
|---|---|---|---|
| First Semester | Credits | Second Semester | Credits |
| AS.110.109 | 4 | AS.110.202 | 4 |
| EN.501.136 (or other First Year Seminar) | 3 | EN.500.113 | 3 |
| EN.553.101 (recommended but not required) | 1 | Writing Intensive | 3 |
| EN.553.172 | 4 | Natural Sciences | 4 |
| Humanities/Social Sciences | 3 | ||
| 15 | 14 | ||
| Second Year | |||
| First Semester | Credits | Second Semester | Credits |
| AS.110.302 | 4 | EN.553.361 | 4 |
| EN.553.295 | 4 | EN.553.385 | 4 |
| EN.601.220 (not required) | 4 | Humanities/Social Sciences | 3 |
| Humanities/Social Sciences | 3 | Natural Sciences | 4 |
| 15 | 15 | ||
| Third Year | |||
| First Semester | Credits | Second Semester | Credits |
| EN.553.420 | 4 | EN.553.430 | 4 |
| Extra AMS course 300-level or higher for honors (not required) | 3-4 | EN.661.110 (not required but if taken, will count as Humanities/Social Sciences) | 3 |
| Writing Intensive | 3 | Natural Sciences | 4 |
| Humanities/Social Sciences | 3 | Free Elective | 3 |
| Free Elective | 3 | ||
| 16-17 | 14 | ||
| Fourth Year | |||
| First Semester | Credits | Second Semester | Credits |
| Area of Focus course 1 | 3-4 | EN.553.400 (not required) | 4 |
| Humanities/Social Sciences | 3 | Area of Focus course 2 | 3-4 |
| Free Elective | 3 | Free Elective | 3 |
| Free Elective | 3 | Free Elective | 3 |
| Free Elective | 3 | Free Elective | 3 |
| 15-16 | 16-17 | ||
| Total Credits 120-123 | |||