Welcome - Applied Mathematics

The Department of Applied Mathematics has a multifaceted mission to provide an exceptional mathematical education focused on the unique needs of NPS students, to conduct relevant research, and to provide service to the broader community. A strong and vibrant Department of Applied Mathematics is essential to the university's goal of becoming a premiere research university.

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The Department of Applied Mathematics offers flexibility to the students on choosing their degrees, certificates, and courses

Degree Programs
Certificate Programs
Course Validation Policy

The Department of Applied Mathematics has a world-class faculty. Learn more about the department's Faculty and Staff here:

Faculty and Staff

The department's research efforts can be grouped into three broad areas, as delineated below. These areas have considerable overlap and several faculty consider themselves associated with more than one group. 

Research Groups

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Upcoming Events

Jun 21, 2024
Spring Quarter Graduation
Jun 24, 2024
MORS 92nd Symposium
Aug 5, 2024
JIFX 24-4

Contact Us

Contact Us

Department of Applied Mathematics

833 Dyer Road Room SP-250
Monterey, CA 93943-5164

Phone: 831-656-2651


Naval Postgraduate School Mathematics Department Chairman Dr. Frank Giraldo

The focus of the Applied Math department is to educate officers to learn how to think rigorously and logically; I cannot think of a better discipline that can serve this purpose. As a service department, we have the privilege of educating many of the students that come through the doors of NPS and we take this responsibility seriously.  The dedication of our
faculty to this mission facilitates taking students with diverse educational backgrounds to complete a Masters degree in STEM-related fields in a short turn-around time.  Read more.  


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Department News

Students from high schools in Salinas, Monterey and Pacific Grove were honored by NPS for their autonomous environmental monitoring solutions in the third annual Rapid Innovation Design Challenge. A total of 38 students representing nine teams from Monterey County schools participated in the competition. (Photo by MC2 Andrew Langholf)

STEM Design Challenge Students Create Autonomous Solutions to Monitor Water Quality, Environment
May 15, 2024
| Naval Postgraduate School Public Affairs
For the third year in a row, science students and teachers from Monterey County high schools came together to brainstorm local solutions to real-world issues during the Naval Postgraduate School (NPS) Rapid Innovation Design Challenge. Read more.

U.S. Air Force Lt. Gen. Michael Plehn, president of National Defense University, inspires more than 200 graduates with a commencement address detailing five key principles to achieving success during the Naval Postgraduate School’s Winter Quarter graduation ceremony, March 29 in King Hall Auditorium. (U.S. Navy photo by Mass Communications Specialis 2nd Class Will Norket/Released)

17th President of National Defense University Honors NPS Winter Quarter Graduates
March 29, 2024
| MC2 Andrew Langholf
The Naval Postgraduate School (NPS) recognized the achievement of its 2024 Winter Quarter graduates during the school’s latest commencement ceremony in King Hall Auditorium, Mar. 29. U.S. Air Force Lt. Gen. Michael T. Plehn, 17th President of the National Defense University, served as the keynote speaker for 206 graduates, including 19 international students from 12 countries. Read more.

Faculty Publications

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An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases: Analysis, Algorithms, and Applications

This book introduces the reader to solving partial differential equations numerically using element-based Galerkin methods. Various forms of Galerkin methods are described in detail, such as spectral element, discontinuous Galerkin, and hybridized discontinuous Galerkin methods. This book describes the methods used in the formulation of the NUMA (Nonhydrostatic Unified Model of the Atmosphere) model which was constructed in the Center for Computational Mathematics in the Department of Applied Mathematics of NPS.

Security and Privacy

The book is focused on the state-of-the-art developments of network security, secure cryptographic protocols, post-quantum cryptography, quantum cryptography, blockchains and cryptocurrency, IoT security and privacy, cloud security, machine learning in cybersecurity, and other disciplines related to security and privacy. In this book, a wide variety of basic security primitives are discussed along with recent developments in some advanced topics like functional encryption, two-party/multi-party computation, bitcoin, cryptocurrency, and post-quantum security.

Graph Theory Favorite Conjectures and Open Problems, Volume 2

Prof. Ralucca Gera's 2nd volume of Graph Theory: Favorite Conjectures ad Open Problems. This volume describes the origin and history behind conjectures and problems in graph theory, provides various methods to solving research problems in the field and provides strong pedagogical content for graduate students and a reference to researchers in the field.

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The Naval Postgraduate School (NPS) provided post-baccalaureate education to military officers and other members of the United States defense and national security community. The mission of NPS is to provide high-quality, relevant and unique advanced education and research programs that increase the combat effectiveness of the Naval Services, other Armed Forces of the U.S. and our partners, to enhance our national security. 

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