Jump to a course (62)
MA103
DATA-DRIVEN MODELING
- Scope
-
This course presents fundamental concepts in data-driven decision-making, using mathematical models to solve real-world, interdisciplinary problems. Students gain experience transforming ill-defined and complex problems into appropriate mathematical models by identifying reasonable and necessary assumptions. The course emphasizes proper interpretation of findings and effective communication of technical concepts to general audiences. The course exercises a wide array of mathematical concepts while nurturing creativity and critical thinking. Specific topics may include data analytics, classification, optimization, matrices, vectors, and continuous/discrete functions. Students use technology to visualize problems, explore potential solutions, and perform time-consuming calculations.
- Offerings
-
- 2027-1 Fall
- 2027-2 Spring
- 2028-1 Fall
- 2028-2 Spring
- 2029-1 Fall
- 2029-2 Spring
- 2030-1 Fall
- 2030-2 Spring
- Lessons
- 56 @ 55 min (4.000 Att/wk)
- Labs
- 8 @ 55 min
- Special requirements
- None
- Disqualifiers
-
MA153
- Scope
-
MA104 introduces the core concepts of differential and integral calculus, including limits, derivatives, integrals, and their applications. Students develop the ability to analyze and model change in one variable, solve real-world optimization and accumulation problems, and interpret the results of mathematical models. The course emphasizes conceptual understanding, problem-solving, and communication of results, with applications that may be drawn from areas such as the natural sciences, social sciences, engineering, and real-world decision-making contexts.
- Offerings
-
- 2027-2 Spring
- 2027-9 Spring Exch
- 2028-1 Fall
- 2028-2 Spring
- 2028-9 Spring Exch
- 2029-1 Fall
- 2029-2 Spring
- 2030-1 Fall
- 2030-2 Spring
- Lessons
- 56 @ 55 min (4.000 Att/wk)
- Labs
- 8 @ 55 min
- Special requirements
- None
- Prerequisites
-
one of
MA153
MATH MODELING/INTRO DIF EQ
- Scope
-
This is the first course of a two-semester advanced mathematics sequence for selected cadets who have validated single variable calculus and demonstrated strength in the mathematical sciences. It is designed to provide a foundation for the continued study of mathematics, sciences, and engineering. This course emphasizes the interaction between mathematics and the physical sciences through modeling with differential equations. Topics may include a study of first order differential equations, first order difference equations, second order linear equations, systems of first order linear and non-linear equations, numerical methods, and non-linear equations and stability. An understanding of course material is enhanced through the use of a computer algebra system.
- Offerings
-
- 2028-1 Fall
- 2029-1 Fall
- 2030-1 Fall
- Lessons
- 56 @ 55 min (4.000 Att/wk)
- Labs
- 8 @ 55 min
- Special requirements
- None
- Disqualifiers
-
one of
MA153X
ADVANCED DATA-DRIVEN MODELING
- Scope
-
This course extends the foundations of data-driven decision-making by applying mathematical models to complex, real-world, interdisciplinary problems with greater analytical depth and rigor. The course emphasizes careful interpretation of results and effective communication of technical concepts to both technical and general audiences. Students engage a broad array of mathematical concepts while developing creativity, judgment, and critical thinking in data-rich environments. Specific topics may include advanced data analytics, classification and prediction methods, optimization, linear algebra (matrices, vectors, eigenvalues), and network science topics. Students use technology to visualize data, explore and validate competing models, and perform computationally intensive analyses, enabling deeper focus on modeling decisions, interpretation, and responsible use of quantitative methods in decision-making contexts. *This is a pilot course and must undergo review by the Curriculum Committee NLT AY27-2 to continue.*
- Offerings
-
- Lessons
- 56 @ 55 min (4.000 Att/wk)
- Labs
- 8 @ 55 min
- Special requirements
- None
- Scope
-
An alternative version of the second semester of the mathematics core curriculum. This course, intended for students who have had a full year of high school calculus, provides a short review of single-variable calculus before progressing into multi-variable differential and integral calculus. It will also cover vectors and geometry of Euclidean space, vector functions, and vector calculus. Throughout the course mathematical models motivate the study of topics such as optimization, accumulation, change in several variables, and other topics from the natural, social, and decision sciences. Students who successfully complete the course will receive validation credit for MA104 and equivalency credit for MA205.
- Offerings
-
- 2027-2 Spring
- 2028-2 Spring
- 2029-2 Spring
- 2030-2 Spring
- Lessons
- 56 @ 55 min (4.000 Att/wk)
- Labs
- 8 @ 55 min
- Special requirements
- None
- Prerequisites
-
one of
- Disqualifiers
-
one of
- Scope
-
This course provides a foundation for the continued study of mathematics and for the subsequent study of the physical sciences, social sciences, and engineering. MA205 covers topics in multivariable differential and integral calculus, vectors and geometry of Euclidean space, vector functions, and vector calculus. Throughout the course mathematical models motivate the study of topics such as optimization, accumulation, change in several variables, and other topics from the natural, social, and decision sciences. An understanding of course material is enhanced through the use of computer algebra systems.
- Offerings
-
- 2027-1 Fall
- 2028-1 Fall
- 2029-1 Fall
- 2030-1 Fall
- Lessons
- 52 @ 55 min (3.250 Att/wk)
- Labs
- 4 @ 55 min
- Special requirements
- None
- Prerequisites
-
MA104
- Disqualifiers
-
one of
MA206
PROBABILITY & STATISTICS
- Scope
-
This is the final course in the mathematics core curriculum. The course develops each cadet's ability to structure their reasoning under conditions of uncertainty and presents fundamental probability and statistical concepts that support the USMA core curriculum. Coverage includes data analysis, probabilistic models, independence, simulation, random variables and their distributions, hypothesis testing, confidence intervals, and linear regression. The course also introduces engineering applications of probability and statistics techniques. Applied problems motivate concepts, and technology enhances understanding, problem solving, and communication.
- Offerings
-
- 2027-1 Fall
- 2027-2 Spring
- 2027-5 STAP 3
- 2027-8 Fall Exch
- 2027-9 Spring Exch
- 2028-1 Fall
- 2028-2 Spring
- 2028-5 STAP 3
- 2028-8 Fall Exch
- 2028-9 Spring Exch
- 2029-1 Fall
- 2029-2 Spring
- 2029-5 STAP 3
- 2029-8 Fall Exch
- 2029-9 Spring Exch
- 2030-1 Fall
- 2030-2 Spring
- 2030-5 STAP 3
- 2030-8 Fall Exch
- 2030-9 Spring Exch
- Lessons
- 30 @ 75 min (2.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
- Prerequisites
-
one of
- Disqualifiers
-
MA256
MA255
ADV MULTIVARIABLE CALCULUS
- Scope
-
This is the second course of a two-semester advanced mathematics sequence for selected cadets who have validated single variable calculus and demonstrated strength in the mathematical sciences. It is designed to provide a foundation for the continued study of mathematics, sciences, and engineering. This course consists of an advanced coverage of topics in multivariable calculus. Topics may include a study of infinite sequences and series, vectors and the geometry of space, vector functions, partial derivatives, multiple integrals, and vector calculus. An understanding of course material is enhanced through the use of a computer algebra system.
- Offerings
-
- 2028-2 Spring
- 2029-2 Spring
- 2030-2 Spring
- Lessons
- 56 @ 55 min (4.000 Att/wk)
- Labs
- 8 @ 55 min
- Special requirements
- None
- Prerequisites
-
one of
- Disqualifiers
-
one of
MA255X
ADV MULTIVARIABLE CALCULUS
- Scope
-
This is the second course of a two-semester advanced mathematics sequence for selected cadets who have validated single variable calculus and demonstrated strength in the mathematical sciences. It is designed to provide a foundation for the continued study of mathematics, sciences, and engineering. This course consists of an advanced coverage of topics in multivariable calculus. Topics may include a study of infinite sequences and series, vectors and the geometry of space, vector functions, partial derivatives, multiple integrals, and vector calculus. An understanding of course material is enhanced through the use of a computer algebra system. **This is a pilot course and must undergo review by the Curriculum Committee NLT AY29-1 to continue, piloting AY27-2 and possibly AY28-2.**
- Offerings
-
- Lessons
- 56 @ 55 min (4.000 Att/wk)
- Labs
- 8 @ 55 min
- Special requirements
- None
- Prerequisites
-
one of
- Disqualifiers
-
one of
MA256
ADV PROBABILITY AND STATISTICS
- Scope
-
This is the advanced version of the final course in the mathematics core curriculum. The course develops each cadet's ability to structure their reasoning under conditions of uncertainty and presents fundamental probability and statistical concepts that support the USMA core curriculum. Coverage includes data analysis, probabilistic models, independence, simulation, random variables and their distributions, hypothesis testing, confidence intervals, and linear regression. The course also introduces engineering applications of probability and statistics techniques. Applied problems motivate concepts, and technology enhances understanding, problem solving, and communication.
- Offerings
-
None
- Lessons
- 30 @ 75 min (2.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
- Prerequisites
-
one of
- Disqualifiers
-
MA206
MA289
INTRO IND STUDY IN MATH (1CR)
- Scope
-
This course is an individually supervised research and study program. The scope of the course is tailored to the needs of the project and interests of the cadet in consultation with a faculty member. Activities vary by project, but the primary purpose is for the cadet to engage in independent study and produce a work of scholarship. With the approval of one of the Program Directors in the
Department of Mathematical Sciences, the cadet chooses a project of interest and is supervised by a faculty member. Cadets are expected to perform a total of 40 hours of work for the semester. A final presentation and final project deliverable are required.
- Offerings
-
- 2027-1 Fall
- 2027-2 Spring
- 2028-1 Fall
- 2028-2 Spring
- 2029-1 Fall
- 2029-2 Spring
- 2030-1 Fall
- 2030-2 Spring
- Lessons
- 0 @ 0 min (0.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Enrollment by permission of one of the Program Directors in the Department of
Mathematical Sciences. Other requirements as determined by the Faculty Advisor.
Discipline-specific final project is required.
MA289A
INTRO IND STUDY IN MATH (1CR)
- Scope
-
This course is an individually supervised research and study program. The scope of the course is tailored to the needs of the project and interests of the cadet in consultation with a faculty member. Activities vary by project, but the primary purpose is for the cadet to engage in independent study and produce a work of scholarship. With the approval of one of the Program Directors in the Department of Mathematical Sciences, the cadet chooses a project of interest and is supervised by a faculty member. Cadets are expected to perform a total of 40 hours of work for the semester. A final presentation and final project deliverable are required.
- Offerings
-
- 2027-1 Fall
- 2029-1 Fall
- 2029-2 Spring
- 2030-1 Fall
- 2030-2 Spring
- Lessons
- 0 @ 0 min (0.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Enrollment by permission of one of the Program Directors in the Department of Mathematical Sciences. Other requirements as determined by the Faculty Advisor. Discipline-specific final project is required.
- Prerequisites
-
MA289
MA289B
INTRO IND STUDY IN MATH (1CR)
- Scope
-
This course is an individually supervised research and study program. The scope of the course is tailored to the needs of the project and interests of the cadet in consultation with a faculty member. Activities vary by project, but the primary purpose is for the cadet to engage in independent study and produce a work of scholarship. With the approval of one of the Program Directors in the Department of Mathematical Sciences, the cadet chooses a project of interest and is supervised by a faculty member. Cadets are expected to perform a total of 40 hours of work for the semester. A final presentation and final project deliverable are required.
- Offerings
-
- 2027-1 Fall
- 2029-1 Fall
- 2029-2 Spring
- 2030-1 Fall
- 2030-2 Spring
- Lessons
- 0 @ 0 min (0.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Enrollment by permission of one of the Program Directors in the Department of Mathematical Sciences. Other requirements as determined by the Faculty Advisor. Discipline-specific final project is required.
- Prerequisites
-
all of MA289, MA289A
MA289C
INTRO IND STUDY IN MATH (1CR)
- Scope
-
This course is an individually supervised research and study program. The scope of the course is tailored to the needs of the project and interests of the cadet in consultation with a faculty member. Activities vary by project, but the primary purpose is for the cadet to engage in independent study and produce a work of scholarship. With the approval of one of the Program Directors in the Department of Mathematical Sciences, the cadet chooses a project of interest and is supervised by a faculty member. Cadets are expected to perform a total of 40 hours of work for the semester. A final presentation and final project deliverable are required.
- Offerings
-
- 2029-2 Spring
- 2030-1 Fall
- 2030-2 Spring
- Lessons
- 0 @ 0 min (0.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Enrollment by permission of one of the Program Directors in the Department of Mathematical Sciences. Other requirements as determined by the Faculty Advisor. Discipline-specific final project is required.
- Prerequisites
-
all of MA289, MA289A, MA289B
MA363
ORDINARY DIFFERENTIAL EQUATION
- Scope
-
This course introduces the mathematical theory of ordinary differential equations and its application to problems in science and engineering. The course emphasizes the conceptual and theoretical understanding of differential equations necessary for advanced study in mathematical sciences. The course covers first and second order differential equations, systems of differential equations, and infinite series. Students will utilize a range of fundamental solution techniques - analytical, qualitative, and numerical. Special focus will be placed on the theory of existence and uniqueness of solutions.
- Offerings
-
- 2027-2 Spring
- 2028-2 Spring
- 2029-2 Spring
- 2030-2 Spring
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Several special problems.
- Prerequisites
-
one of
- Disqualifiers
-
one of
MA364
ENGINEERING MATHEMATICS
- Scope
-
This course provides additional mathematical techniques and deepens the understanding of concepts in mathematics to support continued study in science and engineering. Emphasis is placed upon using mathematics to gain insight into natural and man-made phenomena that give rise to problems in differential equations and infinite series representations of functions. Analytic and numerical solutions to differential equations and systems of differential equations are found using a variety of techniques. Linear algebra topics include solutions to homogeneous and non-homogeneous systems of equations. An introduction to classical partial differential equations is also included.
- Offerings
-
- 2027-2 Spring
- 2027-9 Spring Exch
- 2028-1 Fall
- 2028-2 Spring
- 2028-9 Spring Exch
- 2029-1 Fall
- 2029-2 Spring
- 2029-8 Fall Exch
- 2029-9 Spring Exch
- 2030-1 Fall
- 2030-2 Spring
- 2030-8 Fall Exch
- Lessons
- 30 @ 75 min (2.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Several special problems.
- Prerequisites
-
one of
- Disqualifiers
-
one of
MA365
ADV MATH FOR ENGRS/SCIENTISTS
- Scope
-
This is a course designed for the advanced mathematics student that has completed courses in differential equations and vector calculus (those that have completed MA153 and MA255) and will study ME, EE, NE, Physics or Space Science. MA365 begins where the advanced mathematics program ends. The advanced engineering course offering includes topics in linear algebra, complex variables, Fourier series, partial differential equations, and computational mathematics.
- Offerings
-
- Lessons
- 30 @ 75 min (2.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
- Prerequisites
-
MA255
- Disqualifiers
-
one of
MA367
MATH FOR THE SOCIAL SCIENCES
- Scope
-
MA367 is a required course for those majoring in economics and is available to any who would like to develop their understanding of the mathematical tools applied to common methods of inquiry in several of the social sciences including, but not limited to, psychology and political science. The course develops student ability to use and develop mathematical models to quantify the relationship between variables, actors, and outcomes. The course helps formalize and quantify the properties of these relationships. The course continues to develop math skills introduced in the core math program, and it introduces more advanced math topics that serve as fundamental skills required for modeling in upper level microeconomics, macroeconomics, and econometrics courses. Specific topics include multivariable optimization, including linear and nonlinear programming, differential equations, stochastic modeling, and an introduction to dynamic programming. This course is designed to demonstrate the relevance of mathematics to the modem practice of analysis in the social sciences and to help prepare future Army leaders to use sound logic and relevant evidence to make convincing arguments.
- Offerings
-
- 2027-2 Spring
- 2028-1 Fall
- 2028-2 Spring
- 2029-1 Fall
- 2029-2 Spring
- 2030-1 Fall
- 2030-2 Spring
- Lessons
- 30 @ 75 min (2.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
- Corequisites
-
one of
- Disqualifiers
-
one of
- Scope
-
This course emphasizes both the computational and theoretical aspects of linear algebra one encounters in many subjects ranging from economics to engineering. The course covers solutions of linear systems of equations and the algebra of matrices. The foundational aspects of vector spaces and linear transformations to include linear dependence and independence, subspaces, bases and dimension, inner products, and orthonormalization are developed. This is rounded out with a detailed investigation of eigenvalues and eigenvectors as they relate to diagonalization, quadratic equations, and systems of differential equations. The Invertible Matrix Theorem is explored as the conceptual/theoretical thread of the course. A computer algebra system is used to explore concepts and compute solutions to problems. Applications of the course material are included in the form of special problems to illustrate its wide scope.
- Offerings
-
- 2027-1 Fall
- 2027-2 Spring
- 2027-8 Fall Exch
- 2027-9 Spring Exch
- 2028-1 Fall
- 2028-2 Spring
- 2028-8 Fall Exch
- 2028-9 Spring Exch
- 2029-1 Fall
- 2029-2 Spring
- 2029-8 Fall Exch
- 2029-9 Spring Exch
- 2030-1 Fall
- 2030-2 Spring
- 2030-8 Fall Exch
- 2030-9 Spring Exch
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Several special problems.
- Prerequisites
-
one of
MA372
INTRODUCTION TO DISCRETE MATH
- Scope
-
The purpose of this course is to introduce topics in Discrete Mathematics, providing a foundation for further study and application. The topics covered are useful to both the applied mathematician and the computer scientist. They include propositional logic, elements of set theory, combinatorics, relations, functions, partitions, methods of proof, induction and recursion, digraphs, trees, finite state machines, and algebraic systems. Specific applications to computer science are presented.
- Offerings
-
- 2027-2 Spring
- 2027-8 Fall Exch
- 2028-2 Spring
- 2028-8 Fall Exch
- 2029-2 Spring
- 2029-8 Fall Exch
- 2030-2 Spring
- 2030-8 Fall Exch
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
- Prerequisites
-
one of
- Scope
-
This course builds on the foundations presented in the core probability and statistics course to provide a broad introduction to some of the most common models and techniques in applied statistics. The mathematical basis for each of the models and techniques is presented with particular emphasis on the development of the required test statistics and their distributions. Topics covered include hypothesis testing, analysis of variance, categorical data analysis, regression analysis, and nonparametric methods.
- Offerings
-
- 2027-1 Fall
- 2027-2 Spring
- 2027-8 Fall Exch
- 2027-9 Spring Exch
- 2028-1 Fall
- 2028-2 Spring
- 2028-8 Fall Exch
- 2028-9 Spring Exch
- 2029-1 Fall
- 2029-2 Spring
- 2029-8 Fall Exch
- 2029-9 Spring Exch
- 2030-1 Fall
- 2030-2 Spring
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- One (or more) special problem(s).
- Prerequisites
-
one of
- Disqualifiers
-
SE375
- Scope
-
This course introduces the fundamental principles and methods of optimization, focusing on both linear and nonlinear models. Students learn to formulate and analyze optimization problems, explore core algorithms, and interpret solutions in practical contexts. Topics may include foundational modeling techniques, linear and integer programming, duality concepts, and an introduction to nonlinear and discrete optimization. Emphasis is placed on conceptual understanding, problem-solving, and the use of computational tools to implement and explore optimization models. Applications to real-world systems and the use of advanced optimization software are emphasized throughout.
- Offerings
-
- 2027-2 Spring
- 2027-8 Fall Exch
- 2028-2 Spring
- 2029-2 Spring
- 2030-2 Spring
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- One (or more) special problem(s).
- Prerequisites
-
MA371
MA383
FOUNDATIONS OF MATH
- Scope
-
This course introduces the student to the methods and language of upper division mathematics. It presents formal set theory, and introduces the student to the methods of formulating and writing mathematical proofs. Finally, it provides the student a rigorous introduction to the theory of relations, functions, and infinite sets.
- Offerings
-
- 2027-1 Fall
- 2027-8 Fall Exch
- 2028-1 Fall
- 2028-8 Fall Exch
- 2029-1 Fall
- 2029-8 Fall Exch
- 2029-9 Spring Exch
- 2030-1 Fall
- 2030-8 Fall Exch
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
- Prerequisites
-
one of
- Scope
-
This course introduces topics in fractal geometry and chaotic dynamical systems, providing a foundation for applications and further study. The topics from fractal geometry include the military applications of image analysis and data storage. The chaotic dynamical systems studied in the course are one-, two-, and three-dimensional, nonlinear, discrete and continuous dynamical systems. Topics include the logistics equation, the Henon attractor, the Lorenz equations, bifurcation theory, Julia sets, and the Mandelbrot set. These topics have applications in many fields of science, and examples from biology, meteorology, engineering, and the social sciences are studied. The course integrates concepts introduced in the core mathematics courses.
- Offerings
-
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- One (or more) special problem(s).
- Prerequisites
-
one of
MA386
INTRO TO NUMERICAL ANALYSIS
- Scope
-
This course develops an understanding of the methods for solving mathematical problems using a digital computer. Algorithms leading to solution of mathematical problems will be examined for consistency, stability, and convergence. After a brief review of calculus theory, a study of error analysis and computer arithmetic will provide the framework for the study of the following topics: solutions of equations of one variable, solutions of linear and nonlinear systems of equations, the use of polynomials to approximate discrete data, curve fitting, numerical integration and differentiation, and the approximation of continuous functions. Special problems will incorporate computer graphics and the use of mathematical software libraries to produce numerical solutions of applied problems.
- Offerings
-
- 2027-1 Fall
- 2027-8 Fall Exch
- 2027-9 Spring Exch
- 2028-1 Fall
- 2028-8 Fall Exch
- 2028-9 Spring Exch
- 2029-1 Fall
- 2029-8 Fall Exch
- 2029-9 Spring Exch
- 2030-1 Fall
- 2030-8 Fall Exch
- Lessons
- 30 @ 75 min (2.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Several special problems.
- Prerequisites
-
one of
- all of IT105, MA205
- all of IT105, MA255
- all of IT155, MA205
- all of IT155, MA255
- all of IT105, MA366
- all of IT155, MA366
- all of CY105, MA205
- all of CY105, MA255
- all of CY105, MA366
- all of CY155, MA205
- all of CY155, MA255
- all of CY155, MA366
- all of CY105, MA204X
- all of CY155, MA204X
- all of CY105, MA204
- all of CY155, MA204
- all of AI105, MA205
- all of AI105, MA255
- all of AI105, MA204
- all of AI155, MA204
- all of AI155, MA205
- all of AI155, MA255
- all of AI105X, MA204
- all of AI105, MA205
- all of AI105X, MA255
MA387
MATHEMATICAL ANALYSIS I
- Scope
-
A one semester course providing a rigorous introduction to the calculus of a single variable. The course is designed to introduce the student to the foundations of the calculus necessary for advanced undergraduate and graduate studies in applied mathematics and engineering. Course coverage includes a treatment of the structure of the real number system, sequences, continuous functions, and differentiation.
- Offerings
-
- 2027-2 Spring
- 2028-2 Spring
- 2029-2 Spring
- 2030-2 Spring
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
- Prerequisites
-
MA383
- Scope
-
This course builds on the statistical foundation of the core mathematics sequence by exploring the application of statistical concepts to sports analytics. Students develop skills and apply statistical techniques appropriate for baseball and other sports such as regression, forecasting, data procurement, and stochastic processes. Guest lectures (when available) and a course project are part of this course. Software packages (e.g. R, Python) are used as decision support tools to investigate application problems and augment understanding of course material.
- Offerings
-
- 2027-1 Fall
- 2028-1 Fall
- 2029-1 Fall
- 2030-1 Fall
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
- Prerequisites
-
one of
MA389
INDIV STUDY IN MATHEMATICS
- Scope
-
This course is intended for individually supervised research and study, in order to familiarize cadets with techniques used in advanced scientific study. The primary purpose is to prepare students for independent research in mathematics with the essential skills required. With the approval of the Head of the Department, the cadet chooses a research project of interest and is supervised by a faculty member conducting the research.
- Offerings
-
- 2027-1 Fall
- 2027-2 Spring
- 2028-1 Fall
- 2028-2 Spring
- 2029-1 Fall
- 2029-2 Spring
- 2030-1 Fall
- 2030-2 Spring
- Lessons
- 0 @ 0 min (0.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Cadets must complete either an individual written research report or present an oral report to members of the department faculty at the end of the semester.
MA389A
INDIV STUDY IN MATHEMATICS-A
- Scope
-
This course is intended for individually supervised research and study, in order to familiarize cadets with techniques used in advanced scientific study. The primary purpose is to prepare students for independent research in mathematics with the essential skills required. With the approval of the Head of the Department, the cadet chooses a research project of interest and is supervised by a faculty member conducting the research.
- Offerings
-
- 2027-1 Fall
- 2029-1 Fall
- 2029-2 Spring
- 2030-1 Fall
- 2030-2 Spring
- Lessons
- 0 @ 0 min (0.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Cadets must complete either an individual written research report or present an oral report to members of the department faculty at the end of the semester. Cadets must successfully complete MA389 before taking MA389A.
- Prerequisites
-
MA389
MA389B
INDIV STUDY IN MATHEMATICS-B
- Scope
-
This course is intended for individually supervised research and study, in order to familiarize cadets with techniques used in advanced scientific study. The primary purpose is to prepare students for independent research in mathematics with the essential skills required. With the approval of the Head of the Department, the cadet chooses a research project of interest and is supervised by a faculty member conducting the research.
- Offerings
-
- 2027-1 Fall
- 2029-1 Fall
- 2029-2 Spring
- 2030-1 Fall
- 2030-2 Spring
- Lessons
- 0 @ 0 min (0.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Cadets must complete either an individual written research report or present an oral report to members of the department faculty at the end of the semester. Cadets must take MA389 and MA389A before taking MA389B.
- Prerequisites
-
all of MA389, MA389A
MA389C
INDIV STUDY IN MATHEMATICS-C
- Scope
-
This course is intended for individually supervised research and study, in order to familiarize cadets with techniques used in advanced scientific study. The primary purpose is to prepare students for independent research in mathematics with the essential skills required. With the approval of the Head of the Department, the cadet chooses a research project of interest and is supervised by a faculty member conducting the research.
- Offerings
-
- 2027-1 Fall
- 2029-1 Fall
- 2029-2 Spring
- 2030-1 Fall
- 2030-2 Spring
- Lessons
- 0 @ 0 min (0.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Cadets must complete either an individual written research report or present an oral report to members of the department faculty at the end of the semester. Cadets must take MA389, MA389A, and MA389B before taking MA389C.
- Prerequisites
-
all of MA389, MA389A, MA389B
MA389D
INDIV STUDY IN MATHEMATICS-D
- Scope
-
This course is intended for individually supervised research and study, in order to familiarize cadets with techniques used in advanced scientific study. The primary purpose is to prepare students for independent research in mathematics with the essential skills required. With the approval of the Head of the Department, the cadet chooses a research project of interest and is supervised by a faculty member conducting the research.
- Offerings
-
- 2029-2 Spring
- 2030-2 Spring
- Lessons
- 0 @ 0 min (0.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Cadets must complete either an individual written research report or present an oral report to members of the department faculty at the end of the semester. Cadets must take MA389, MA389A, MA389B, and MA389C before taking MA389D.
- Prerequisites
-
all of MA389, MA389A, MA389B, MA389C
MA391
MATHEMATICAL MODELING
- Scope
-
This course is designed to give cadets the opportunity to develop skills in model construction and model analysis while addressing interesting scenarios with practical applications from a wide variety of fields. The course addresses the complex process of translating real-world events into mathematical language, solving the resulting mathematical model (iterating as necessary), and interpreting the results in terms of real-world issues. Topics may include model development from data, optimization, dynamic models, and deterministic and stochastic model development. Interdisciplinary projects based on actual modeling scenarios are used to integrate the various topics into a coherent theme.
- Offerings
-
- 2027-2 Spring
- 2028-2 Spring
- 2029-2 Spring
- 2030-2 Spring
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Several special projects.
- Prerequisites
-
one of
- Corequisites
-
one of
MA394
FUNDAMENTALS/NETWORK SCIENCE
- Scope
-
MA394 exposes cadets to the basic concepts of networks and gives them an opportunity to apply techniques learned in the course to real-world problems. Students will develop skills and problem-solving strategies for modeling complex networks associated with physical, informational, and social phenomena. Software packages are used as decision support tools to investigate application problems and augment understanding of the course material.
- Offerings
-
None
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
- Prerequisites
-
MA371
MA396
NUM METH SOLUTIONS DIFF EQNS
- Scope
-
The focus of this course is to find numerical solutions of differential equations that result when modeling physical phenomena. The numerical solution of both initial value problems and boundary-value problems that arise with ordinary differential equations are covered. Techniques for solving partial differential equations are introduced. Software packages (Mathematica, Maple, Matlab, etc.) have proved to be very useful tools for many numerical techniques and are used to augment an understanding of course material.
- Offerings
-
- 2027-2 Spring
- 2028-2 Spring
- 2029-2 Spring
- 2030-2 Spring
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- One (or more) special problem(s).
- Prerequisites
-
one of
- all of IT105, MA205
- all of IT105, MA255
- all of IT155, MA205
- all of IT155, MA255
- all of CY105, MA205
- all of CY105, MA255
- all of CY155, MA205
- all of CY155, MA255
- all of CY105, MA204X
- all of CY155, MA204X
- all of CY105, MA204
- all of CY155, MA204
- all of AI105, MA204
- all of AI105, MA205
- all of AI105, MA255
- all of AI105X, MA204
- all of AI105X, MA204
- all of AI105X, MA255
- all of AI155, MA204
- all of AI155, MA205
- all of AI155, MA255
MA461
GRAPH THEORY AND NETWORKS
- Scope
-
This course introduces the student to the techniques, algorithms, and structures used in graph theory and network flows in order to solve real world discrete optimization problems. Basic definitions relating to graphs and digraphs, together with a large number of examples and applications are provided. Cadets learn to implement new graph theory techniques in their area of study. Emphasis is on modeling, algorithms, and optimization.
- Offerings
-
- 2028-1 Fall
- 2029-8 Fall Exch
- 2029-9 Spring Exch
- 2030-1 Fall
- Lessons
- 40 @ 55 min (0.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Two special problems.
- Prerequisites
-
one of
- Scope
-
This course introduces the basic techniques and modes of combinatorial problem-solving important to the field of computer science and mathematical sciences such as operations research. Applications of combinatorics are also related to fields such as genetics, organic chemistry, electrical engineering and political science. Combinatorial enumeration and logical structure are stressed. Applications and examples provide the structure of progression through topics which include counting methods, generating functions, recurrence relations, and enumeration techniques.
- Offerings
-
- 2027-2 Spring
- 2027-8 Fall Exch
- 2029-1 Fall
- 2029-8 Fall Exch
- 2030-8 Fall Exch
- Lessons
- 40 @ 55 min (0.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Completion of the mathematics core curriculum required for enrollment.
- Prerequisites
-
one of
MA464
APPLIED ALGEBRA W/ CRYPTOLOGY
- Scope
-
We study the underlying algebra of computer science structures as well as sets, set functions, Boolean algebra, finite state machines, groups, and modular arithmetic. We introduce and study mathematical aspects of cryptology with an emphasis on cryptanalysis of encryption ciphers. We study early paper-and-pencil systems through current computer algorithms for encryption. We employ algebraic principles in both design and analysis of encryption systems, be it matrix, linear feedback shift register sequence, or linear congruential random number generator sequence efforts. Further, we investigate the mathematics of breaking machine ciphers and of designing modern public-key crypto systems.
- Offerings
-
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
- Prerequisites
-
one of
- Scope
-
This is an introductory course in modern algebra for cadets who plan to do graduate work in mathematics or theoretical work in the physical sciences or engineering. The emphasis of the course is on group theory, considering such topics as cyclic and abelian groups, normal sub-groups and factor groups, series of groups, and solvable groups. Selected applications are interspersed with the material on group theory. The course concludes with an introduction to rings and fields. One special problem is provided to allow the student to do independent research in an area of the student's interest.
- Offerings
-
- Lessons
- 40 @ 55 min (0.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- One special problem.
- Prerequisites
-
one of
MA476
MATHEMATICAL STATISTICS
- Scope
-
This course builds on the foundation presented in the core probability and statistics course to provide a mathematical presentation of the important topics in mathematical statistics. The course begins with a review of probability concepts from the core course, adding additional topics such as transformations of random variables and moment generating functions. To provide the mathematical basis for much of statistical practice, certain limit theorems and sampling distributions are proven. The central focus of the course is distribution theory, to include the theory of estimation and the theory of hypothesis testing.
- Offerings
-
- 2027-2 Spring
- 2027-8 Fall Exch
- 2027-9 Spring Exch
- 2028-2 Spring
- 2028-8 Fall Exch
- 2028-9 Spring Exch
- 2029-2 Spring
- 2029-8 Fall Exch
- 2029-9 Spring Exch
- 2030-2 Spring
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- One (or more) special problem(s).
- Prerequisites
-
one of
- all of MA205, MA206
- all of MA206, MA255
- all of MA205, MA256
- all of MA255, MA256
- all of MA205, MA206X
- all of MA206X, MA255
- all of MA204X, MA206
- all of MA204X, MA256
- all of MA204, MA206
- all of MA204, MA256
- all of MA204, MA206X
MA477
THEORY & APPL OF DATA SCIENCE
- Scope
-
This course builds on the foundations presented in the core probability and statistics course and the applied statistics course to develop a broad base of Advanced Data Science to some of the most common techniques in the field. The mathematical basis for each method is presented with focus on both the statistical theory and application. Topics covered may include classification and regression trees, regularization methods, splines and localized regression, and model validation.
- Offerings
-
- 2027-2 Spring
- 2028-2 Spring
- 2029-2 Spring
- 2029-8 Fall Exch
- 2029-9 Spring Exch
- 2030-2 Spring
- 2030-9 Spring Exch
- Lessons
- 30 @ 75 min (2.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
- Prerequisites
-
one of
MA478
GENERALIZED LINEAR MODELS
- Scope
-
This course provides an introduction to statistical modeling beyond that gained in MA376. Students will learn statistical models for analyzing quantitative and qualitative data. Methods will generally be taught in the generalized linear model framework and may include binomial and multinomial regression models, models for count data and models for survival data. Students will also be exposed to techniques for handling problems that arise when analyzing real data: for example missing data, unstructured data and influential observations.
- Offerings
-
- 2027-1 Fall
- 2028-1 Fall
- 2029-1 Fall
- 2030-1 Fall
- Lessons
- 30 @ 75 min (2.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
- Prerequisites
-
MA376
- Scope
-
This course builds on the foundations of Optimization I and explores advanced topics in optimization and decision-making. Students study extensions of advanced linear and integer programming, large-scale and decomposition methods, and modern algorithmic approaches. The course may include topics such as optimization under uncertainty, stochastic programming, dynamic programming, and sequential decision problems. Applications to real-world systems and the use of advanced optimization software are emphasized throughout.
- Offerings
-
- 2028-1 Fall
- 2029-1 Fall
- 2030-1 Fall
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Several special problems.
- Prerequisites
-
MA371
- Scope
-
This course builds on the foundations of Optimization I and explores advanced topics in optimization and decision-making. Students study extensions of advanced linear and integer programming, large-scale and decomposition methods, and modern algorithmic approaches. The course may include topics such as optimization under uncertainty, stochastic programming, dynamic programming, and sequential decision problems. Applications to real-world systems and the use of advanced optimization software are emphasized throughout. **This is a pilot version of MA481 that will need review by the Curriculum Committee NLT AY27-2 to continue. As the content of the pilot course will differ significantly from MA481, cadets are allowed to take both MA481 and MA481X."
- Offerings
-
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Several special problems.
- Prerequisites
-
MA371
MA484
PARTIAL DIFF EQUATIONS
- Scope
-
The course is devoted to the solution of the classical partial differential equations of mathematical physics and most engineering fields. For example, these equations describe such diverse phenomena as the flow of heat in a metal plate, the gravitational field of the solar system, the vibration of a structural beam, and the energy levels of the hydrogen atom. The subject matter has application in many fields and should be of interest to mathematics, science, and engineering concentrators. Specific topics covered are the heat, wave, and potential equations, Fourier series, series solutions to ordinary differential equations, special functions, and boundary value problems.
- Offerings
-
None
- Lessons
- 30 @ 75 min (2.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- One special problem.
- Prerequisites
-
one of
MA485
APPLIED COMPLEX VARIABLES
- Scope
-
This course presents a logical development of complex variable theory sufficient for the development and solution of a number of interesting and practical problems. Residue theory is developed and applied to problems in integration and in the solution of partial differential equations via transform techniques. Conformal mapping theory is used to solve partial differential equations for which the solution is a harmonic function satisfying prescribed boundary conditions. These classical Dirichlet-Neumann problems model phenomena arising in the study of electrostatic potential, equilibrium thermodynamics, incompressible fluids, elasticity, and other areas of continuum mechanics.
- Offerings
-
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- One special problem.
- Prerequisites
-
one of
MA486
MATHEMATICAL COMPUTATION
- Scope
-
This course provides an undergraduate presentation of computational problem solving that builds on math and science classes from USMA. The emphasis of this course is on developing a conceptual understanding of the fundamental topics in algorithm development as well as developing an understanding of a high level programming language. MA486 exposes students to mathematical applications best understood through computational analysis. Contemporary topics of application may include linear algebra, numerical analysis, statistics, data analytics and visualization, simulation, optimization, and machine learning. Students will be exposed to topics in computer science including data structures, object oriented programming, debugging, complexity, as well as testing and verification. We will use a high level computer programming language such as R or Python to explore and expose various topics.
- Offerings
-
- 2027-1 Fall
- 2028-1 Fall
- 2029-1 Fall
- 2030-1 Fall
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
- Prerequisites
-
one of
- Corequisites
-
one of
MA487
MATHEMATICAL ANALYSIS II
- Scope
-
Continuation of MA387. Course coverage includes Riemann and Stieltjes integration, infinite series, sequences and series of functions, uniform convergence, and power series.
- Offerings
-
None
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
- Prerequisites
-
MA387
MA488
SPECIAL TOPICS IN MATHEMATICS
- Scope
-
This course provides an in-depth study of a special topic in mathematics not offered elsewhere in the USMA curriculum. Course content will be based on the special expertise of the visiting professor or a senior mathematical science faculty member.
- Offerings
-
- 2027-2 Spring
- 2027-8 Fall Exch
- 2027-9 Spring Exch
- 2028-8 Fall Exch
- 2028-9 Spring Exch
- 2029-8 Fall Exch
- 2029-9 Spring Exch
- 2030-9 Spring Exch
- Lessons
- 30 @ 75 min (2.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- To be determined by the program director.
MA488A
SPECIAL TOPICS IN MATHEMATICS
- Scope
-
This course provides an in-depth study of a special topic in mathematics not offered elsewhere in the USMA curriculum. Course content will be based on the special expertise of the visiting professor or a senior mathematical science faculty member.
- Offerings
-
None
- Lessons
- 30 @ 75 min (2.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- To be determined by the program director.
- Prerequisites
-
MA488
- Corequisites
-
one of
MA489
ADV INDIV STUDY IN MATH
- Scope
-
This is essentially a tutorial course or an individual project, offered only to a limited number of highly qualified cadets who have completed available mathematics elective courses and have expressed a wish to pursue advanced study in a field of mathematics. The course work will be tailored to suit the individual needs.
- Offerings
-
- 2027-1 Fall
- 2027-2 Spring
- 2027-8 Fall Exch
- 2027-9 Spring Exch
- 2028-1 Fall
- 2028-2 Spring
- 2028-8 Fall Exch
- 2028-9 Spring Exch
- 2029-1 Fall
- 2029-2 Spring
- 2029-8 Fall Exch
- 2029-9 Spring Exch
- 2030-1 Fall
- 2030-2 Spring
- 2030-7 IAD(A)
- 2030-9 Spring Exch
- Lessons
- 0 @ 0 min (0.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
MA489A
ADV INDIV STUDY IN MATH-A
- Scope
-
This is essentially a tutorial course or an individual project, offered only to a limited number of highly qualified cadets who have completed available mathematics electives courses and have expressed a wish to pursue advanced study in a field of mathematics. The course work will be tailored to suit the individual needs.
- Offerings
-
- 2027-2 Spring
- 2029-1 Fall
- 2029-2 Spring
- 2030-1 Fall
- 2030-2 Spring
- Lessons
- 0 @ 0 min (0.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Cadets should successfully complete MA489 before taking MA489A.
- Corequisites
-
MA489
MA489B
ADV INDIV STUDY IN MATH-B
- Scope
-
This is essentially a tutorial course or an individual project, offered only to a limited number of highly qualified cadets who have completed available mathematics elective courses and have expressed a wish to pursue advanced study in a field of mathematics. The course work will be tailored to suit the individual needs.
- Offerings
-
- 2029-2 Spring
- 2030-2 Spring
- Lessons
- 0 @ 0 min (0.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Cadets should successfully complete MA489 and MA489A before taking MA489B.
- Prerequisites
-
all of MA489, MA489B
MA490
ETHICS IN MATH, DATA SCI & ENG
- Scope
-
This course is intended to serve as an integrative experience for cadets of all majors and FOSs. Cadets having completed the core math program will be given the opportunity to explore ethical issues including legitimate data use, algorithmic fairness, and further develop skills in model construction and analysis while addressing problems and scenarios with practical applications from science, social sciences, engineering, computer science and/or mathematics. Interdisciplinary projects based on actual modeling scenarios are used to explore ethical issues and integrate the various topics into a coherent theme.
- Offerings
-
- 2027-2 Spring
- 2028-2 Spring
- 2029-2 Spring
- 2030-2 Spring
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Several special projects.
- Prerequisites
-
one of
MA491
RESEARCH SEMNR-APPLD MATH
- Scope
-
The student integrates the mathematical concepts and techniques learned in previous courses with the principles developed throughout the whole USMA Curriculum to solve a current problem of interest to the individual, to the Academy, or to agencies in the Department of the Army. Cadets may select problems from a list of suitable projects provided by the Department of Mathematical Sciences. Cadets choose a faculty advisor who has an interest and background in the problem. Cadets may work individually or in small teams, depending on the nature of the research. Regular workshop sessions will be held. Cadets will be given an opportunity to present their research at the Service Academies Student Mathematics Conference and/or other undergraduate conferences. Research reports will be reviewed, edited, and compiled into the USMA Transactions on Cadet Mathematical Research.
- Offerings
-
- 2027-1 Fall
- 2027-2 Spring
- 2028-1 Fall
- 2028-2 Spring
- 2029-1 Fall
- 2029-2 Spring
- 2030-1 Fall
- 2030-2 Spring
- Lessons
- 17 @ 55 min (1.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Weekly meetings @ 55 min; one research paper (80 hours).
MA493A
OPNL CALC AND TRANSFORMS
- Scope
-
This course is the logical extension and synthesis of MA484 and MA485. It employs the integral calculus of complex functions and the theory of residues to investigate solutions to a number of partial differential equations arising from electrostatics, thermostatics, elasticity, gravitation, and other fields of continuum mechanics. The Poisson-Integral Formula is applied to the solution of boundary-value problems. Fourier and Laplace transforms are studied in detail and are used to develop general techniques for the solution of many ordinary, partial, and integral equations which result from the above applications.
- Offerings
-
None
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Several special projects.
- Prerequisites
-
one of
- Scope
-
Continuation of MA487. Topics include sequences and series of functions, equicontinuity power series, Fourier series, the exponential and logarithmic function, and the Gamma function. The last portion of the course will be devoted to individual research projects.
- Offerings
-
None
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- One special project.
- Prerequisites
-
one of
MA493C
TOPICS IN NUMERICAL ANLYSIS
- Scope
-
A continuation of MA396. Topics include boundary-value problems for ordinary and/or partial differential equations.
- Offerings
-
None
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- One term-end research project.
- Prerequisites
-
one of
MA493D
INTRODUCTION TO TOPOLOGY
- Scope
-
The course begins with cardinality and the modern definition of a function. Then the basic properties of topological spaces--compactness, connectedness, and continuity--will be emphasized. Special attention will be given to metric topologies on Euclidean spaces. Complete metric spaces and function spaces will be introduced.
- Offerings
-
None
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
- Prerequisites
-
one of
- Scope
-
This course provides cadets the opportunity to pursue in detail subjects of special interest.
- Offerings
-
None
- Lessons
- 40 @ 55 min (2.500 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- None
- Prerequisites
-
one of
MA498
SR THESIS I: RSCRCH & PROPOSAL
- Scope
-
The purpose of the Senior Thesis is to provide cadets with an unique opportunity to create a scholarly product that is academically, professionally, and personally meaningful to them and that reflects their thinking and abilities as developed at West Point and in the Department of Mathematical Sciences. Cadets will choose a faculty advisor with whom they will collaborate over two semesters. Cadets will meet on a regular basis with their advisor to discuss mathematics, progress on their research and thesis, and developmental issues. The objectives of the research are: (1) to synthesize and cohere the cadet's studies; (2) to apply methodological skills of research design, conceptual reasoning, analysis, and research gained to a selected area of substantive interest; (3) to extend the cadet's in-depth study of the selected area of interest beyond the level obtained in the Mathematical Sciences Major; (4) to design and conduct focused research beyond the constrained opportunities in elective courses; and (5) to develop cadet skills in conceptual reasoning, critical analysis, and effective writing.
- Offerings
-
- 2027-1 Fall
- 2028-1 Fall
- 2029-1 Fall
- 2030-1 Fall
- Lessons
- 17 @ 55 min (1.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Weekly meeting @ 55 min; one research proposal and presentation.
MA499
SR THESIS II: PAPER & DEFENSE
- Scope
-
This course continues the work on the thesis commenced in MA 498. At the end of the course, cadets will submit a written thesis to the Department of Mathematical Sciences. In addition, cadets will defend that thesis before a faculty committee. Cadets will be given an opportunity to present their research at the Service Academies Student Mathematics Conference and/or other undergraduate conferences. Theses will be reviewed, edited, and compiled into the USMA Transactions on Cadet Mathematical Research.
- Offerings
-
- 2027-2 Spring
- 2028-2 Spring
- 2029-2 Spring
- 2030-2 Spring
- Lessons
- 17 @ 55 min (1.000 Att/wk)
- Labs
- 0 @ 0 min
- Special requirements
- Weekly meetings @ 55 min; one research paper and defense.
