Applied Mathematics - Curriculum 380

Program Officer

LCDR Brannon Chapman

Code EC/MA, Spanagel Hall, Room 401A

(831)656-2678, DSN 756-2678

Fax (831)656-2760 (ECE)

bwchapma@nps.edu 

Academic Associate

CDR Thor Martinsen

Code EC/MA, Spanagel Hall, Room 247A

(831)656-2581, DSN 756-2581

Fax (831)656-2760 (ECE)

tmartins@nps.edu

Brief Overview

This program is designed to meet the needs of the Department of Defense for graduates who are skilled in applying concepts of higher mathematics. The objective of the program is to equip an officer with the skill to analyze a military problem, formulate it in mathematical terms, solve or approximate a solution, and interpret and present the results.

Completion of this curriculum also qualifies an officer as an Applied Mathematics Subspecialty with a code of 4100P. A typical job in this subspecialty is an instructor in mathematics at the U.S. Naval Academy or the U.S. Military Academy at West Point.

Requirements for Entry

Preparatory to graduate work in applied mathematics, the officer shall have completed a strong program of study at the undergraduate level or the first three quarters of the mathematics core sequence, which includes linear algebra, advanced calculus in one and several variables, ordinary differential equations, probability and statistics. Officers not having the required qualifications for direct input enter the program indirectly through the Engineering Science (460) curriculum. An APC of 324 is required.

Entry Date

Advanced Science (Applied Mathematics) is an eight-quarter course of study with preferred entry date in June. If further information is needed, contact the Academic Associate or Program Officer for this curriculum.

Typical Course of Study

Quarter 1

Course NumberTitleCreditsLecture HoursLab Hours
MA1113Single Variable Calculus I

4

0

MA1114Single Variable Calculus II with Matrix Algebra

4

0

MA2025Bridge to Advanced Mathematics

4

1

NW3230Strategy & War

4

2

Quarter 2

Course NumberTitleCreditsLecture HoursLab Hours
MA1115Multi Variable Calculus

4

0

MA1116Vector Calculus

3

0

MA3025Logic and Discrete Mathematics II

4

1

MA3042Linear Algebra

4

0

Quarter 3

Course NumberTitleCreditsLecture HoursLab Hours
MA3046Matrix Analysis

4

1

MA3110Intermediate Analysis

4

0

MA2121Differential Equations

4

0

MA3560Applied Modern Algebra and Number Theory

4

0

Quarter 4

Course NumberTitleCreditsLecture HoursLab Hours
NW3275Joint Maritime Operations - part 1

4

0

MA3301Linear Programming

4

0

MA3132Partial Differential Equations and Integral Transforms

4

0

OA3101Probability

4

1

Quarter 5

Course NumberTitleCreditsLecture HoursLab Hours
NW3276Joint Maritime Operations - part 2

2

2

MA3607Introduction to Real Analysis

4

0

MA3232Numerical Analysis

4

0

OA3102Statistics

4

2

Quarter 6

Course NumberTitleCreditsLecture HoursLab Hours
MA4322Principles and Techniques of Applied Mathematics I

4

0

MA3677Theory of Functions of a Complex Variable

4

0

ELECTElective 3XXX

0

3

OA3103Data Analysis

4

1

Quarter 7

Course NumberTitleCreditsLecture HoursLab Hours
MA4323Principles and Techniques of Applied Mathematics II

4

0

MA0810Thesis Research

0

8

ELECTElective 4XXX

0

3

ELECTElective 4XXX

0

3

Quarter 8

Course NumberTitleCreditsLecture HoursLab Hours
MA0810Thesis Research

0

8

MA0810Thesis Research

0

8

ELECTElective 4XXX

0

3

NW3285Theater Security Decision Making

4

0

Educational Skill Requirements (ESR)

Applied Mathematics - Curriculum 380

The value of graduate education in mathematics lies in the vast breadth of its applicability. The officer with advanced education in mathematics possesses skills in problem solving, modeling, abstraction, optimization, and analysis that are sufficiently general that they apply in many arenas and never lose their currency in the face of changing technology and yet-to-be-identified needs. Graduate education in mathematics is a career-long enabler. Students in the Applied Mathematics curriculum will receive a solid mathematical foundation as they transition into graduate curricula emphasizing relevant and modern advanced mathematical techniques. Students will be encouraged to develop and utilize skills in analysis, reasoning, creativity, and exposition as they acquire knowledge of mathematics and its applications.

  1. Fundamental Areas: The officer will complete courses in the following fundamental areas of Mathematics, developing sufficient mastery to qualify for teaching Mathematics at the undergraduate level.
    1. Single, Multivariate, and Vector Calculus
    2. Linear Algebra and Algebraic Structures
    3. Logic and Discrete Mathematics
    4. Real and Complex Analysis
    5. Modern Applied Algebra and Number Theory
    6. Numerical Analysis
    7. Mathematical Modeling in Applied Mathematics
    8. Ordinary and Partial Differential Equations
  2. Applications: The officer will become well-versed in the applications of mathematics to real world problems of interest to the military, enhancing performance in post-graduate operational billets and policy making positions.
  3. Computer Skills: The officer will acquire the ability to use higher-level structured computer languages on current workstations
  4. Communication and Research Skills: The officer will perform independent research in an area of Mathematics, develop written and oral presentation skills, and gain instructional experience.
  5. Joint Professional Military Education: Graduates will complete the Navy Joint Professional Military Education Phase I requirements.