## Program Pages Content

### Degrees & Pathways

- Master of Science in Applied and Computational Mathematics
- Post-Master's Certificate

### About

Connecting applied mathematics and computational methods is a smart move, especially considering the increasing need to incorporate design and implementation of mathematical algorithms into modern technologies. Faculty employ the latest tools, housed in modern computing facilities, to blend practical instruction with theoretical principles, setting students on a course to be leaders in this growing field.

For those that wish to complete this program online, please review the Applied and Computational Mathematics schedule planning document, which details the expected course offerings by academic term.

Upon completing the degree program, students will:

- Understand basic terms, concepts, and notation of mathematical logic and reasoning.
- Understand the distinction between axioms, definitions, and theorems.
- Understand and construct proofs of theorems at the level studied in the course.
- Solve basic probability problems, including finding properties of distribution functions.
- Understand how to determine point and interval estimates in statistics.
- Solve for, and interpret, simple regression models.
- Employ statistical software confidently for topics addressed in this course.
- Learn and use fundamental matrix algebra concepts.
- Understand basic notions and limitations of numerical computation (round-off error, stability of algorithms, operation counts).

### Contact

**Program Chair:** James Spall

**Program Coordinator:** Amanda Harwell (410-516-2265, aharwel3@jhu.edu)

### Requirements

### Master's Degree

#### Admission Requirements

- You must meet the general admission requirements that pertain to all master's degree candidates.
- Your prior education must include the following prerequisites: (1) at least one mathematics course beyond multivariate calculus (such as advanced calculus, differential equations, or linear algebra); and (2) familiarity with at least one programming language (e.g., C, C++, FORTRAN, Java, Python, R, or MATLAB).
- If your prior education does not include the prerequisites listed above, you may still be admitted under provisional status, followed by full admission once you have completed the missing prerequisites. Missing prerequisites may be completed with Johns Hopkins Engineering (all prerequisites beyond calculus are available) or at another regionally accredited institution.
- A detailed work résumé must be submitted.
- When reviewing an application, your academic and professional background will be considered.
- If you are an international student, you may have additional admission requirements.

#### Degree Requirements

- Ten courses must be completed within five years. Overall, at least four of the ten courses must be at the 700- or 800-level.
- The curriculum consists of four core courses (including a two-term course) and six electives.
- The six electives must include at least four from the program (625.xxx), with at least two of the four courses at the 700-level. Students are required to take at least one 700-level course outside of the core sequences (625.717/718, 625.721/722, and 625.725/726). An independent study (625.800), research project (625.801–802), or thesis (625.803–804) may be substituted for one or two of the 700-level courses outside of the 700-level core sequence. A student who has taken at least one semester of graduate statistics (outside of Applied and Computational Mathematics) may substitute another 625.xxx course for 625.603 with approval of the student’s advisor. The prior course must be calculus-based and must cover the same general topics as 625.603.
- Focus areas are not required for this program.
- Only one C-range grade (C+, C, or C−) can count toward the master's degree.
- All course selections are subject to advisor approval.
- Selected undergraduate-level courses are also offered to provide mathematical background for the program. These 200-level courses are not for graduate credit. Some students may find one or more of these courses useful as a refresher or to fill gaps in their training.

### Post-Master's Certificate

#### Admission Requirements

- You must meet the general admission requirements that pertain to all post-master's certificate candidates.
- It is expected that applicants will have completed courses equivalent to 625.603 Statistical Methods and Data Analysis, and at least 625.601 Real Analysis or 625.609 Matrix Theory in prior graduate coursework.
- If you are an international student, you may have additional admission requirements.

#### Certificate Requirements

- Six courses must be completed within three years.
- At least four of the six courses must be from the Applied and Computational Mathematics program (numbered 625.680 or higher). At least three of the courses must be at the 700- or 800-level, and at least one of the 700-level courses must be outside of the sequences 625.717/718, 625.721/722, and 625.725/726.
- Students are allowed to take one mathematically oriented elective course from outside the program. Courses 625.601 Real Analysis, 625.603 Statistical Methods and Data Analysis, and 625.609 Matrix Theory may not be counted. An independent study (625.800), research project (625.805–806), or thesis (625.807–808) may be substituted for one or two of the 700-level courses outside of the 700-level core sequence.
- Only grades of B− or above can count toward the post-master's certificate.
- Focus areas are not available for students pursing certificates.
- All course selections are subject to advisor approval.

#### Students Seeking a PhD

Students with a long-term interest in pursuing a PhD through the Applied Mathematics and Statistics (AMS) Department in the full-time program should coordinate their course plans with their Applied and Computational Mathematics advisor and with a representative in the AMS Department. Certain courses within Applied and Computational Mathematics may be especially helpful in passing the required entrance examination for the PhD program. Priority of admission is not given to graduates of the Applied and Computational Mathematics program for the PhD program.

### Courses

Please refer to the course schedule published each term for exact dates, times, locations, fees, and instructors.

### PREREQUISITE COURSES

*If your prior education does not include the prerequisites listed under Admission Requirements, you may still be admitted under provisional status, followed by full admission once you have completed the missing prerequisites. All prerequisite courses beyond calculus are available at Johns Hopkins Engineering. These courses do not count toward the degree or certificate requirements.*

### CORE COURSES

*SELECT ONE SEQUENCE*

### COURSES BY FOCUS AREAS

The focus areas offered represent related groups of courses that are relevant for students with interests in the selected areas. The focus areas are presented as an aid to students in planning their course schedules and are generally applicable to students seeking a master’s degree; the more advanced courses within each focus area may also apply to the post-master’s certificate. Focus areas are not required for this program. They do not appear as official designations on a student’s transcript or diploma.

#### APPLIED ANALYSIS

#### INFORMATION TECHNOLOGY AND COMPUTATION

#### OPERATIONS RESEARCH

#### PROBABILITY AND STATISTICS

#### SIMULATION AND MODELING

### ELECTIVES

Two electives may be from the program or from another graduate program provided the courses have significant mathematical content. Electives from outside of the program must be approved by an advisor.

### Program News

Johns Hopkins' online graduate information technology program has been ranked the 5^{th} best such program in the nation by *U.S. News & World Report* for the second consecutive year, and its online graduate engineering programs leapfrogged from last year's 19^{th} spot to its current 14^{th}.

Johns Hopkins Engineering Advances: Professional engineering program news.

Johns Hopkins Engineering Advances: Professional engineering program news.