Course Information
 MATHEMATICS DEPARTMENT

 Course: SA302 Title: ANALYSIS OF NAVAL TACTICS Credits: 3-2-4 Description: An introduction to the techniques of modeling and quantitative analysis applied to specific naval operational problems, including search and patrol, screening, anti-air warfare, mining, equipment reliability and decision rules. Does not count as a major elective for Mathematics majors. Offered: Fall 2016-2017 Requisites: Prereq: SM219, SM239 or SM230.
 Course: SA305 Title: LINEAR PROGRAMMING Credits: 3-0-3 Description: An introduction to linear programming. Topics include: extensive linear programming modeling techniques, the Simplex method, sensitivity analysis, and basic linear programming theory. Midshipmen cannot receive credit for both SA305 and SA401. Offered: Spring Requisites: Prereq: SM261 or permission of department chair.
 Course: SA367 Title: INTRODUCTION TO MATHEMATICAL MODELING Credits: 3-0-3 Description: Realistic problems, often of military interest, are formulated mathematically and solved using techniques from probability, statistics, calculus and differential equations. The analysis is carried out by students working in small teams and individually. Solutions are presented in oral nontechnical briefings and in written technical reports. Offered: Fall Requisites: Prereq: SM219, SM239 or SM230.
 Course: SA402 Title: DYNAMIC & STOCHASTIC MODELS Credits: 3-0-3 Description: Investigation of quantitative analysis of decision options, including dynamic programming, decision trees, Markov chains and queuing theory. Applications to typical operations are stressed. Offered: Fall 2016-2017 Requisites: Prereq: (SM239 or SM230) and SM261.
 Course: SA403 Title: GRAPH AND NETWORK ALGORITHMS Credits: 3-0-3 Description: This course introduces graph algorithms for problems in network and combinatorial optimization. Topics include: minimum spanning trees, matchings, shortest paths, maximum flows and minimum cost flows. Students will also be expected to program algorithms on a computer. Offered: Spring Requisites: Prereq: SM233 or permission of department chair.
 Course: SA405 Title: ADVANCED MATH PROGRAMMING Credits: 3-0-3 Description: This course covers a range of advanced topics in mathematical programming. Topics include integer programming modeling, branch-and-bound methods, integer programming theory and nonlinear optimization theory and algorithms. Students will also learn to use a set-based modeling language for an advanced integer programming solver. Topics will vary with instructor. Offered: Fall 2016-2017 Requisites: Prereq: SA305 or permission of department chair.
 Course: SA410 Title: APPLICATIONS OF SEARCH AND DETECTION THEORY Credits: 3-0-3 Description: Considerations in picking a measure of effectiveness (MOE) for use in analyzing decision options and decision criterion are studied. The focus of the course is the analysis of search and detection operations, particularly as they arise in anti-submarine operations, using probability models. Barrier detection, area search and parallel sweep operations models are developed. Additional topics in mine warfare, target coverage models, anti-air warfare, and target motion analysis may be picked for study by the instructor. Credit cannot be given for both SA302 and SA410. Offered: Fall Requisites: Prereq: SM239 or SM230.
 Course: SA412 Title: PROJECTS IN OPERATIONS ANALYSIS Credits: 3-0-3 Description: Operations research techniques are applied using student projects, case studies and visiting lecturers. Topics include current military and industrial problems. Offered: Spring Requisites: Prereq: permission of department Chair.
 Course: SA421 Title: SIMULATION MODELING Credits: 3-0-3 Description: Discrete simulation of systems using a simulation language. Includes random variate generation, validation and verification of simulations, input and output data analysis. Semester projects are done as part of an analysis team. Offered: Fall 2016-2017 Requisites: Prereq: SM233. Coreq: SM339.
 Course: SA430 Title: LOGISTICS Credits: 3-0-3 Description: Investigation of techniques of operations analysis applicable to the solution of problems in reliability, maintainability, availability and inventory. Offered: Fall 2016-2017 Requisites: Prereq: SM239 or SM230.
 Course: SA442 Title: APPLIED STATISTICS II Credits: 3-0-3 Description: A continuation of SM339 that includes examination, evaluation and application of advanced statistical methods. Techniques studied include sampling, nonparametric analysis, simple and multiple regression, correlation, analysis of variance and decision theory. Offered: Spring Requisites: Prereq: SM339.
 Course: SA475 Title: OPERATIONS RESEARCH CAPSTONE Credits: 3-0-3 Description: This course is a capstone course for the Operations Research major. Students will read and make presentations on topics determined by the instructor. Each student will complete a project on a topic to be agreed upon by the instructor and student. Students will present their results in writing and orally. Offered: Spring Requisites: Prereq: 1/C SMO Major or permission of department chair.
 Course: SA475E Title: RESEARCH SEMINAR IN QUANTITATIVE ECONOMICS Credits: 3-0-3 Description: Directed research on a specific topic. Capstone course for Quantitative Economics majors. Emphasis on empirical work using computers. Offered: Spring Requisites: Prereq: 1/C SQE major.
 Course: SM005 Title: PRE-CALCULUS MATHEMATICS Credits: 4-1-4 Description: Basic review of algebraic and arithmetic operations, analysis of functions and their graphs, and trigonometry. This course may be required in addition to stated graduation requirements for certain midshipmen Offered: Fall 2016-2017 Requisites: Prereq: placement by department chair.
 Course: SM121 Title: CALCULUS I Credits: 4-0-4 Description: The first of a traditional two course sequence covering differential and integral calculus of one real variable and infinite series. Offered: Fall 2016-2017 Requisites: Prereq: None.
 Course: SM122 Title: CALCULUS II Credits: 4-0-4 Description: Continuation of Calculus I. Offered: Summer 2016-2017, Fall 2016-2017 Requisites: Prereq: Calculus I (SM131 or SM121 or SM161).
 Course: SM122X Title: MULTIVAR CALCULUS W/ REVIEW Credits: 4-0-4 Description: For those who have had a year of prior calculus study but did not validate Calculus I. Introduction to multivariable calculus topics from the first part of Calculus III with embedded review of topics and skills from first-year calculus. Participation in SM122X entails validation credit for SM131. Completion of SM122X counts as credit for SM122. Offered: Fall 2016-2017 Requisites: Prereq: Placement by department chair.
 Course: SM131 Title: CALCULUS I Credits: 3-0-3 Description: The first of a traditional two course sequence covering differential and integral calculus of one real variable and infinite series for students who had prior differential calculus experience. Offered: Fall 2016-2017 Requisites: Prereq: placement by department chair.
 Course: SM161 Title: CALCULUS WITH COMPUTERS I Credits: 5-0-5 Description: The first of a two course sequence presenting an algorithmic development of the differential and integral calculus of one real variable and an introduction to programming. Offered: Fall Requisites: Prereq: permission of department chair.
 Course: SM162 Title: CALCULUS WITH COMPUTERS II Credits: 5-0-5 Description: A continuation of SM161. Offered: Spring Requisites: Prereq: SM161.
 Course: SM212 Title: DIFFERENTIAL EQUATIONS Credits: 4-0-4 Description: Linear and simultaneous differential equations; solution by Laplace transform; partial differential equations and Fourier series. Offered: Summer 2016-2017, Fall 2016-2017 Requisites: Prereq: Calculus III (SM221 or SM223).
 Course: SM219 Title: INTRODUCTORY STATISTICS Credits: 3-0-3 Description: Nature of statistical methods, description of data, probability, distributions, estimation, tests of hypothesis, correlation, regression. Credit cannot be given for SM219 if credit has been given for SM230 or SM239. Offered: Summer 2016-2017, Fall 2016-2017 Requisites: Prereq: SM122 or SM162.
 Course: SM221 Title: CALCULUS III WITH VECTOR FIELDS Credits: 4-0-4 Description: Differential and integral calculus of several real variables; vector analysis including integral theorems. Offered: Fall 2016-2017 Requisites: Prereq: Calculus II (SM122 or SM162).
 Course: SM221X Title: MULTIVARIABLE CALCULUS WITH INFINITE SERIES Credits: 4-0-4 Description: For those who have completed SM122X. Introduction to multivariable and vector calculus topics from the second part of Calculus III and introduction to infinite sequences and series with embedded review of topics and skills from first-year calculus. Completion of SM221X counts as credit for SM221. Offered: Requisites: Prereq: SM122X
 Course: SM222 Title: DIFFERENTIAL EQUATIONS WITH MATRICES Credits: 4-0-4 Description: A more rigorous treatment of material from SM212, the course uses basic ideas from linear algebra. Intended for mathematics and quantitative economics majors. Offered: Fall 2016-2017 Requisites: Prereq: Calculus III (SM221 or SM223); Coreq: SM261.
 Course: SM223 Title: CALCULUS III WITH OPTIMIZATION Credits: 4-0-4 Description: Differential and integral calculus of several real variables; vector analysis; optimization techniques for functions of several variables. Offered: Fall 2016-2017 Requisites: Prereq: Calculus II (SM122 or SM162).
 Course: SM230 Title: PROBABILITY WITH NAVAL APPLICATIONS Credits: 3-0-3 Description: An elementary treatment of the basic concepts of probability with an emphasis on naval applications. Sample spaces, discrete and continuous random variables and standard distributions. Selected topics of naval applications of probability theory such as random search, minefields and lateral range curves. Conditional probability and Bayes' theorem. Offered: Summer 2016-2017, Fall 2016-2017 Requisites: Prereq: Calculus II (SM122 or SM162).
 Course: SM233 Title: INTRODUCTION TO APPLIED MATHEMATICS Credits: 2-2-3 Description: This course introduces students to several fundamental topics in applied mathematics: simulation and statistical modeling, applications of linear algebra, partial differential equation models, and computational tools and topics. Appropriate computer software will be introduced. Offered: Fall 2016-2017 Requisites: Prereq: Calculus III; Coreq: SM261.
 Course: SM239 Title: PROBABILITY AND STATISTICS I Credits: 3-0-3 Description: An applied study of a variety of discrete and continuous probability models. Probability models covered include binomial, Poisson, exponential, gamma, normal, Student-t, and chi-squared. Methods for calculating probabilities and estimating parameters are included. The Law of Large Numbers and the Central Limit Theorem are included. This course is both a stand-alone course and a prerequisite for Applied Statistics I (SM339). Credit will not be given for both SM239 and SM230. Offered: Fall 2016-2017 Requisites: Prereq/Coreq: Calculus III (SM221 or SM223).
 Course: SM242 Title: DISCRETE MATH & PROBABILITY Credits: 4-0-4 Description: Introduction to first order logic, set theory, proof techniques, counting principles, graph theory, matrix operations, discrete random variables and analysis of algorithms. Credit cannot be given for SM242 if credit has been given for SM342. Offered: Fall 2016-2017 Requisites: Prereq: SM122 or SM162
 Course: SM259 Title: MATHEMATICAL LOGIC Credits: 3-0-3 Description: Mathematical languages, formal logic, propositional calculus and truth tables, first order predicate calculus, proof theory, axiomatic systems and model theory. Applications to logical networks and nonstandard analysis. Offered: Fall Requisites: Prereq: Calculus II (SM122 or SM162).
 Course: SM261 Title: MATRIX THEORY Credits: 3-0-3 Description: Matrices, transformations, linear equations, vector spaces, characteristic matrix, eigenvalues, orthogonality. Offered: Fall 2016-2017 Requisites: Prereq: Calculus II (SM122 or SM162).
 Course: SM279 Title: MULTIVARIABLE CALCULUS Credits: 3-0-3 Description: An introduction to the geometry and analysis of n-dimensional space, including topics on multidimensional curves, inner products, linear functions, real valued functions, Taylor approximations, optimization, inverse function theorem, implicit function theorem, and change of variables in integration. Applications to economics and physics will be discussed. Offered: Spring Requisites: Prereq: (SM221 or SM223) and SM261.
 Course: SM280 Title: TOPICS IN MATHEMATICS Credits: 1-0-1 Description: An overview and sampling of topics from a variety of mathematical disciplines including both tracks of the Mathematics Major. Students will be exposed to the power, beauty, and utility of Mathematics. Offered: Fall Requisites: Prereq: Calculus II and SMA or SMP major or permission of department chair.
 Course: SM291 Title: FUNDAMENTALS OF MATHEMATICS Credits: 3-0-3 Description: Introduction to mathematical reasoning and the written and oral presentation of mathematical concepts, theory, and application of sets and relations. Offered: Spring Requisites: Prereq: Calculus II. SQE majors may not take both SM291 and SM222.
 Course: SM311 Title: ENGINEERING MATHEMATICS I Credits: 3-0-3 Description: Vector analysis, Fourier analysis, partial differential equations, Sturm-Liouville problems, Legendre polynomials, determinants, and matrices. Offered: Fall, Spring Requisites: Prereq: Differential Equations (SM212 or SM222).
 Course: SM312 Title: ENGINEERING MATHEMATICS II Credits: 3-0-3 Description: Laplace and Fourier transforms, selected topics from complex variables. Offered: Requisites: Prereq: Differential Equations (SM212 or SM222).
 Course: SM313 Title: PROBABILITY WITH APPL TO EE Credits: 3-0-3 Description: A first course in probability with many examples and exercises drawn from electrical engineering. Knowledge of calculus (including multivariable) is assumed. The course covers basic counting techniques, properties of probabilities, discrete and continuous random variables, expectation values, variance, covariance, joint probability distributions, functions of random variables, moment generating functions, the Central Limit Theorem, random sampling, and sampling distribution of means. The emphasis is on understanding the random variable concept. Offered: Fall Requisites: Prereq: Differential Equations (SM212 or SM222).
 Course: SM315 Title: INTRO TO PARTIAL DIFF EQNS Credits: 3-0-3 Description: Linear equations, Cauchy problems, Laplace and Poisson equations, boundary value problems, heat equations, Sturm-Liouville problems, and orthonormal expansions. Offered: Fall 2016-2017 Requisites: Prereq: Differential Equations (SM212 or SM222).
 Course: SM316 Title: ENGR MATH WITH PROB & STATS Credits: 3-0-3 Description: Basic concepts in probability and statistics, arithmetic of complex numbers, and Fourier analysis. Credit cannot be given for either SM219, SM230, or SM239 and SM316. Offered: Fall 2016-2017 Requisites: Prereq: Differential Equations (SM212 or SM222).
 Course: SM321 Title: TOPICS IN APPL MATHEMATICS Credits: 3-0-3 Description: Junior level topics in applied mathematics. The content will vary in order to keep abreast of new ideas and approaches. Offered: Requisites: Prereq: permission of department chair.
 Course: SM331 Title: ADVANCED CALCULUS I Credits: 4-0-4 Description: Real numbers, sequences, limits of sequences, limits of functions, continuity, properties of continuous functions, differentiability, Riemann integral, series, power series. Offered: Fall Requisites: Prereq: SM261 and SM291.
 Course: SM331H Title: REAL ANALYSIS I Credits: 4-0-4 Description: Honors versions of SM331. Offered: Fall 2016-2017 Requisites: Prereq: permission of department chair.
 Course: SM332H Title: REAL ANALYSIS II Credits: 4-0-4 Description: Honors version of SM334. Offered: Spring Requisites: Prereq: permission of department chair.
 Course: SM333 Title: SEQUENCES, SERIES & FUNCTIONS Credits: 4-0-4 Description: This course deals with the convergence properties of sequences and series, including: limit theorems and convergence tests, power series, sequences and series of functions, pointwise and uniform convergence, and the analytic operations preserved by the convergence process. Midshipmen may not receive credit for both SM333 and any of SM331, SM331H, and SM332H. Offered: Fall 2016-2017 Requisites: Prereq: SM261 and SM291, or permission of department chair.
 Course: SM334 Title: ELEMENTS OF ADVANCED CALCULUS Credits: 3-0-3 Description: This course is a continuation of SM333. Together the courses cover logic, induction, sequences, limits, real numbers, series, continuity, differentiability, properties of continuous functions, the Riemann Integral, and power series. Offered: Spring Requisites: Prereq: SM331 or SM331H or SM333
 Course: SM339 Title: APPLIED STATISTICS I Credits: 3-0-3 Description: An applied study of a variety of statistical methods used in obtaining, presenting, summarizing and analyzing statistical information. Included are strategies for data collection and presentation, and techniques of statistical inference for population, parameters based on the concepts of sampling, probability and distribution theory. Offered: Fall, Spring Requisites: Prereq: SM239 and SM261.
 Course: SM342 Title: DISCRETE STRUCTURES Credits: 3-0-3 Description: Foundations and methods of proof. Combinatorics, graph theory, group theory. Selected topics. Counts as track elective for the SMA and the SMP majors. Offered: Fall 2016-2017 Requisites: Prereq: SM122 or SM162.
 Course: SM350 Title: TOPICS IN PURE & APPLIED MATH Credits: 3-0-3 Description: Junior-level topics in pure and applied mathematics. The content will vary in order to keep abreast of new ideas and approaches. Offered: Fall 2016-2017 Requisites: Prereq: permission of department chair.
 Course: SM361 Title: INTERMEDIATE LINEAR ALGEBRA Credits: 4-0-4 Description: This course deals with abstract linear algebra and its applications. Topics include: abstract vector spaces, linear transformations, inner products and norms, orthogonal bases, projections, singular value decomposition and other matrix factorizations, and numerical linear algebra. Applications will be chosen by the instructor, but might include: image compression, principal components analysis, and applications to physics. Offered: Fall 2016-2017 Requisites: Prereq: (SM233, SM261 and SM291) or permission of department chair.
 Course: SM362 Title: MODERN ALGEBRA Credits: 3-0-3 Description: Integers, groups, mappings, rings, fields. Offered: Fall 2016-2017 Requisites: Prereq: SM261 and SM291.
 Course: SM364 Title: INTRO SCIENTIFIC COMPUTING Credits: 3-0-3 Description: Computer arithmetic and errors; algorithms and programs for: function approximations, numerical integration, and the numerical solution of ordinary differential equations; an introduction to programming. Offered: Spring Requisites: Prereq: SM361 or permission of department chair.
 Course: SM365 Title: INTRO SCIENTIFIC COMPUTING Credits: 4-0-4 Description: Computer arithmetic and errors; algorithms and programs for: iterative solution of equations, linear systems of equations, function approximations, numerical integration, and the numerical solution of ordinary differential equations; an introduction to programming. Offered: Fall Requisites: Prereq: SM261.
 Course: SM411 Title: INTRO TO COMPLEX VARIABLES Credits: 3-0-3 Description: This course extends the techniques of differential and integral calculus to the complex numbers. Highlights include Cauchy's theorem on integration, the residue theorem, and power series expansions. Applications to real analysis and physical problems will be discussed. Offered: Fall Requisites: Prereq: SM331 or SM331H or SM333
 Course: SM415 Title: MATH MODEL OCEAN & ATMOS Credits: 3-0-3 Description: Mathematical Modeling of the Ocean and Atmosphere. Vector analysis, Fourier analysis, partial differential equations with emphasis on stream and potential functions, conservation of mass, conservation of linear momentum (Navier-Stokes Equations) in rectangular and rotating coordinate systems. Use of MATLAB to solve applied problems in oceanography and meteorology. Offered: Spring Requisites: Prereq: SO414 or permission of instructor.
 Course: SM421 Title: TOPICS IN APPLIED MATHEMATICS II Credits: 3-0-3 Description: Senior level topics in applied mathematics. The content will vary in order to keep abreast of new ideas and approaches. Offered: Requisites: Prereq: permission of department chair.
 Course: SM425 Title: ADVANCED NUMERICAL ANALYSIS Credits: 3-0-3 Description: Numerical solution of equations in one and several variables, direct and iterative algorithms, rate of convergence. Computer methods emphasized. Offered: Requisites: Prereq: (SM212 or SM222) and (SM233 or MATLAB) and (SM331 or SM331H or SM333 or approval of department chair) and (SM364 or SM365).
 Course: SM426 Title: NUMERICAL METHODS FOR DIFF EQ Credits: 3-0-3 Description: Interpolation and polynomial approximation, numerical integration and differentiation, numerical algorithms for initial value and boundary value problems. Offered: Requisites: Prereq: (SM212 or SM222) and (SM233 or MATLAB) and (SM331 or SM331H or SM333 or approval of department chair) and (SM364 or SM365).
 Course: SM437 Title: EXPERIMENTAL DESIGN Credits: 3-0-3 Description: This is an advanced applied statistics course focusing on the collection and analysis of data arising from either sampling finite populations or arising from scientific experiments. Emphasis is placed on simple random sampling, stratified sampling, cluster sampling, ratio estimation, randomized block designs, factorial designs, and confounding. Offered: Spring Requisites: Prereq: SM339.
 Course: SM439 Title: TOPICS IN STATISTICS Credits: 3-0-3 Description: Senior level topics in statistics. The content will vary in order to keep abreast of new ideas and approaches. Offered: Fall Requisites: Prereq: SM339 or permission of department chair.
 Course: SM444 Title: DISCRETE STRUCTURES II Credits: 3-0-3 Description: Topics in combinatorics and graph theory, with applications. Latin squares, linear algebra and combinatorics, finite projective planes, topological graph theory, Ramsey theory, trees. Offered: Fall 2016-2017 Requisites: Prereq: SM342.
 Course: SM450 Title: TOPICS IN PURE & APPLIED MATH Credits: 3-0-3 Description: Senior-level topics in pure and applied mathematics. The content will vary in order to keep abreast of new ideas and approaches. Offered: Fall, Spring Requisites: Prereq: permission of department chair.
 Course: SM461 Title: LINEAR ALGEBRA Credits: 3-0-3 Description: Vector spaces, linear transformations, Jordan canonical form, inner product spaces. Offered: Fall, Spring Requisites: Prereq: (SM261 and SM291) or permission of department chair.
 Course: SM462 Title: ALGEBRAIC STRUCTURES Credits: 3-0-3 Description: Groups, rings, fields, Galois theory. Offered: Requisites: Prereq: SM362.
 Course: SM463 Title: TOPICS IN ANALYT/DISCR MATH Credits: 3-0-3 Description: Senior level topics in pure mathematics. The content will vary in order to keep abreast of new ideas and approaches. Offered: Requisites: Prereq: permission of department chair.
 Course: SM464 Title: TOPOLOGY Credits: 3-0-3 Description: A mathematical analysis of topological spaces, separation axioms, covering properties, and metric spaces. Offered: Fall 2016-2017 Requisites: Prereq: SM331 or SM331H or SM333
 Course: SM465 Title: ADVANCED DIFFERENTIAL EQUATIONS Credits: 3-0-3 Description: Existence and uniqueness of solutions to ordinary differential equations. Stability, oscillation, dynamical systems. Offered: Requisites: Prereq: (SM212 or SM222) and (SM331 or SM331H or SM333).
 Course: SM468 Title: CRYPTO, CODES & INFO SECURITY Credits: 3-0-3 Description: Cryptography, Codes, and Information Security investigates the mathematics of secret and error-correcting codes. Offered: Spring Requisites: Prereq: SM261 or permission of department chair.
 Course: SM472 Title: PROJECTS IN MATHEMATICS Credits: 3-0-3 Description: This course is a capstone course for the the mathematics major. Students will read and make presentations on topics determined by the instructor. Each student will complete a project on a topic to be agreed upon by the instructor and student. Students will present their results in writing and orally. Offered: Spring Requisites: Prereq: 1/C SMA Major or permission of department chair.
 Course: SM473 Title: PROJECTS IN MATH & APPLIED MATH Credits: 3-0-3 Description: This course is a capstone course for the mathematics and applied mathematics majors. Students will read and make presentations on topics determined by the instructor. Each student will complete a project on a topic to be agreed upon by the instructor and student. Students will present their results in writing and orally. Offered: Spring Requisites: Prereq: 1/C Math Major or permission of department chair.
 Course: SM474 Title: PROJECTS IN APPLIED MATHEMATICS Credits: 3-0-3 Description: This course is a capstone course for the applied mathematics major. Students will read and make presentations on topics determined by the instructor. Each student will complete a project on a topic to be agreed upon by the instructor and student. Students will present their results in writing and orally. Offered: Spring Requisites: Prereq: 1/C SMP Major or permission of department chair.