Mathematical Sciences
The mathematical sciences embody those areas of mathematics which have strong interdependence with other disciplines. Their purpose is to clarify concepts and describe scientific phenomena through symbolic language and the rules for its use. Its scope spans the total breadth of knowledge that is capable of being quantified. The full process of the mathematical sciences has expanded from their historical ties with the physical sciences to now include areas such as: the biological, sociological, behavioral, and computer sciences; operations research; and all engineering fields.
Military Applications of Mathematics
Mathematics and the ability to use it are particularly important to Army officers, who are leading Soldiers in a complex and increasingly technical world. A successful career depends upon one’s ability to assimilate knowledge from many fields and to apply it to a wide variety of social and technical problems. Mathematics is the common vehicle of thought and expression that enables the leader to model and solve quantifiable problems whether at the platoon or at the Department of the Army level.
Student Outcomes
The student outcomes of the mathematical sciences major include:
 Demonstrate competence in modeling physical, informational, and social phenomena by:
 Identifying and articulating assumptions, metrics and constraints.
 Applying appropriate solutions techniques.
 Interpreting results within the appropriate context.
 Argue and inquire soundly and rigorously; become independent questioners and learners.
 Achieve mathematical proficiency in breadth and depth.
 Understand and apply theorems and algorithms.
 Understand and apply analytical methods.
 Understand and apply numerical methods.
 Understand and apply graphical methods.
 Understand discrete and continuous structures and processes.
 Communicate mathematics, both orally and in writing.
 Use technology to model, visualize, and solve complex problems.
 Develop attitudes – habits of mind:
 Creative and curious.
 Experimental disposition.
 Critical thinking and reasoning.
 Commitment to lifelong learning.
 Understand the role of mathematical sciences (in our world) by analyzing applied problems through disciplinary, multidisciplinary, and interdisciplinary approaches.
Program of Study
The Mathematical Sciences Major offers abundant opportunities for study in a broad range of mathematical subjects. Courses such as differential equations, algebra, mathematical modeling, analysis, numerical computation, statistics, and linear optimization provide a sound mathematical foundation in the science and engineering fields. In addition, followon courses such as algebra, analysis, combinatorics, and advanced individual study provide both depth in understanding the foundations of mathematical theory, as well as opportunity for study and research in a selected subject. Whenever possible, the use of technology is emphasized to extend the knowledge required for the consideration of realistic and challenging problems of today's world.
Cadets interested in studying mathematics or the application of mathematics can pursue a degree in Mathematical Sciences, Mathematical Sciences Studies, or Mathematical Sciences with Honors. All cadets must complete 22 core courses and complete any one of the seven 3course engineering sequences.
The Mathematical Sciences Major requires an additional 16 courses (10 required and 6 elective) for a total of 41 academic courses.
Mathematical Sciences Studies Major requires an additional 11 courses in the major (8 required and 3 electives) for a total of 40 academic courses. MA387 and MA491 are not required but can be taken as electives.
Honors Program
The Mathematical Sciences offers an honors program. In order to receive a Mathematical Sciences Major with Honors a cadet is must:
 Complete two courses MA498 Senior Thesis I and MA499 Senior Thesis II in place of MA491
 Graduate with an APSC > 3.0 in core academic program courses
 Graduate with an APSC > 3.5 in mathematical sciences major courses
Required Courses
Course No.  Course Title 

Mathematical Core (7 of 7) 

MA363  Vector Calculus and Ordinary Differential Equations 
MA371  Linear Algebra 
MA383  Foundations of Mathematics 
MA386  Introduction to Numerical Analysis 
MA387  Mathematical Analysis I 
MA391  Mathematical Modeling 
MA491  Research Seminar in Applied Mathematics 
Statistics Elective (1 of 2) 

MA376  Applied Statistics 
MA476  Mathematical Statistics 
Integrative Experience (1 of 2) 

MA490  Applied Problems from Math, Science, and Engineering 
XX490  Another Department’s Integrative Experience 
Complementary Support Course (Required) 

IT305  Military IT Systems 
Elective Courses
Course No.  Course Title 

Math Electives (Choose 2) 

MA372  Introduction to Discrete Mathematics 
MA376  Applied Statistics 
MA381  Nonlinear Optimization 
MA385  Chaos and Fractals 
MA388  Sabermetrics 
MA394  Fundamentals of Network Science 
MA396  Numerical Methods for the Solution of Differential Equations 
MA461  Graph Theory and Networks 
MA462  Combinatorics 
MA464  Applied Algebra with Cryptology 
MA466  Abstract Algebra 
MA476  Mathematical Statistics 
MA481  Linear Optimization 
MA484  Partial Differential Equations 
MA485  Applied Complex Analysis 
MA487  Mathematical Analysis II 
MA488  Special Topics in Mathematics 
MA489  Advanced Individual Study In Mathematics 
MA493A  Operational Calculus and Transforms 
MA493B  Real Variable Theory 
MA493C  Topics in Numerical Analysis 
MA493D  Introduction to Topology 
MA493E  Topics in Analysis 
Science Depth (Choose 1) 

CH102  Chemistry II 
CH275  Biology 
PH206  Physics II 
Complementary Support Course (CSC) Thread


8 Course Options  Computational Mathematics Tools 
5 Course Options  Finance Applications 
10 Course Options  Cyber Applications 
16 Course Options  Engineering Applications 
4 Course Options  Network Science 
4 Course Options  Applied Statistics 