Applied Mathematics - Curriculum 380

Program Officer

LCDR Brannon Chapman

Code EC/MA, Spanagel Hall, Room 401A

[phone], DSN 756-2678

Fax [phone] (ECE)

[e-mail] 

Academic Associate

Ralucca Gera, Ph.D.

Code MA, Spanagel Hall, Room 260

[phone], DSN 756-2230

Fax: [phone]

[e-mail]

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.

Convenes

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 Number	Title	Credits	Lecture Hours	Lab Hours
MA1113	Single Variable Calculus I		4	0
MA1114	Single Variable Calculus II with Matrix Algebra		4	0
MA2025	Bridge to Advanced Mathematics		4	1
NW3230	Strategy & War		4	2

Quarter 2

Course Number	Title	Credits	Lecture Hours	Lab Hours
MA1115	Multi Variable Calculus		4	0
MA1116	Vector Calculus		3	0
MA3025	Logic and Discrete Mathematics II		4	1
MA3042	Linear Algebra		4	0

Quarter 3

Course Number	Title	Credits	Lecture Hours	Lab Hours
MA3046	Matrix Analysis		4	1
MA3110	Intermediate Analysis		4	0
MA2121	Differential Equations		4	0
MA3560	Applied Modern Algebra and Number Theory		4	0

Quarter 4

Course Number	Title	Credits	Lecture Hours	Lab Hours
NW3275	Joint Maritime Operations - part 1		4	0
MA3301	Linear Programming		4	0
MA3132	Partial Differential Equations and Integral Transforms		4	0
OA3101	Probability		4	1

Quarter 5

Course Number	Title	Credits	Lecture Hours	Lab Hours
NW3276	Joint Maritime Operations - part 2		2	2
MA3607	Introduction to Real Analysis		4	0
MA3232	Numerical Analysis		4	0
OA3102	Statistics		4	2

Quarter 6

Course Number	Title	Credits	Lecture Hours	Lab Hours
MA4322	Principles and Techniques of Applied Mathematics I		4	0
MA3677	Theory of Functions of a Complex Variable		4	0
ELECT	Elective 3XXX		0	3
OA3103	Data Analysis		4	1

Quarter 7

Course Number	Title	Credits	Lecture Hours	Lab Hours
MA4323	Principles and Techniques of Applied Mathematics II		4	0
MA0810	Thesis Research		0	8
ELECT	Elective 4XXX		0	3
ELECT	Elective 4XXX		0	3

Quarter 8

Course Number	Title	Credits	Lecture Hours	Lab Hours
MA0810	Thesis Research		0	8
MA0810	Thesis Research		0	8
ELECT	Elective 4XXX		0	3
NW3285	Theater 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.