Students will not be granted more than 12 degree credits in mathematics courses below 200. If you have questions or would like to learn more about the mathematics program at Norwich, please contact Department Chair, Gerard LaVarnway, lavarnwa@norwich.edu.

005 Preparatory Mathematics – 3 Non-degree Credits
A review of high school mathematics, including some geometry, in preparation for freshman level mathematics. Students assigned to MA005 must satisfactorily complete the course before enrolling in any other mathematics class.
101, 102 Mathematics: A Liberal Art – 3 Credits
Mathematics: A Liberal Art is an investigation of mathematical concepts and methods with emphasis given to their impact on current and ancient problems. Topics for MA101 include logic, counting problems, probability, geometry and mathematics of finance. Topics in MA102 include mathematics of voting systems, basic graph theory including Euler circuits and the traveling salesman problem, the mathematics of population growth, statistics and basic game theory. Both courses emphasize the techniques for problem solving. Prerequisite: Satisfactory completion of MA005 or equivalent as determined by departmental placement testing. Not open for the first time to a student with a grade of “C” or higher in MA107, or with credit for any mathematics course requiring MA107 as a prerequisite.
103 College Algebra I – 3 Credits
A comprehensive study of algebraic topics, this course provides a strong foundation for subsequent mathematics-based courses. Topics include sets, the real number systems, polynomials and factoring, and linear and quadratic equations. Prerequisite: Satisfactory completion of MA005 or equivalent as determined by departmental placement testing. Not open for the first time to students who have received degree credit in any math course except MA101, MA102. This course does not fulfill the General Education requirement in mathematics.
107 Precalculus Mathematics – 4 Credits
Precalculus Mathematics is a study of topics in precalculus mathematics involving algebra and trigonometry designed to prepare students to progress into introductory calculus. It is a rapid development of elementary topics in algebra to linear, quadratic, logarithmic, and exponential functions, followed by an analytical treatment of trigonometry. Prerequisite: Grade of “C” or better in MA103 or equivalent as determined by departmental placement testing. Not open for the first time to students with credit in any course requiring MA107 as a prerequisite.
108 Applied Calculus – 4 Credits
Applied Calculus is a course on topics in analytical geometry progressing to differential and integral calculus. Also included is the presentation of a wide variety of practical application to technology, business and science. Not open for the first time to a student with credit in MA121 or any course requiring MA108 as a prerequisite. Prerequisite: MA107 or equivalent as determined by departmental placement testing. Not more than one of MA108 or MA121 may count as degree credit.
121 Calculus I – 4 Credits

Calculus I is an introduction to plane analytic geometry and to differential and integral calculus. Prerequisite: grade of “C” or better in MA107 or equivalent as determined by departmental placement testing. Not more than one of MA108 or MA121 may count as degree credit.

122 Calculus II – 4 Credits
Calculus II is a continuation of MA121 in which transcendental functions, methods of integration, vectors, polar coordinates, indeterminate forms, L’Hôpital’s Rule, improper integrals and two- and three-dimensional vector analysis are explored. Prerequisite: MA121 (or “C” or better in MA108 and permission of the department).
212 Finite Mathematics – 3 Credits
This course includes linear algebra with applications to systems of equations, linear programming, math of finance, sets, combinatorial analysis and probability theory. Prerequisite: MA107 or equivalent as determined by department placement testing. Finite Mathematics is only offered during spring semesters.
223 Calculus III – 4 Credits
A continuation of MA122, Calculus III includes multiple integration, solid analytic geometry, partial differentiation, infinite sequences and series. Prerequisite: MA122. Calculus III is only offered during fall semesters.
224 Differential Equations – 4 Credits
Ordinary differential equations are developed as models of physical phenomena. Differential equations are investigated by finding exact solutions and using computer software to determine the solution to linear and non-linear problems. Solution techniques include operator methods, Laplace transforms, and numerical methods. Prerequisite: MA122. Differential Equations is only offered during spring semesters.
232 Elementary Statistics – 3 Credits
Elementary Statistics is a course that covers the study of frequency distributions, averages and standard deviations, normal curve, probability, decision-making, sampling techniques, testing hypotheses, chi-square, students- T and F-distributions, correlation and linear regression. This course is valuable for those who plan to enter teaching. Prerequisite: A college level mathematics course or equivalent as determined by departmental placement testing. Not open to students with credit in MA311.
240 Elementary Number Theory and Cryptology – 3 Credits
Elementary Number Theory and Cryptology is an introduction to fundamental topics in number theory, including the real number system, prime numbers, modular arithmetic, the Euclidean algorithm, Fermat’s Theorem, Euler’s Theorem and Euler’s Phi function. Topics will be applied to Caesar and affine ciphers and the Chinese Remainder Theorem. Prerequisite: MA107 and knowledge of a programming language or permission of instructor. Elementary Number Theory and Cryptology is only offered during fall semesters.
241 Mathematical Computation and Modeling – 3 Credits
Mathematical Computation and Modelling is a course designed to introduce effective problem solving strategies and modeling techniques to find solutions to complex and often ill-defined problems. The course’s introductory materials are chosen from common experiences encompassing many academic disciplines. Emphasis is placed on the development of mathematical models and computation on a variety of computing platforms and programming environments. Prerequisite: MA108 or permission of instructor
250 Communication in Mathematics – 1 Credit
This course illustrates the organization of the mathematical literature, the efficient search of the literature and a formal introduction to writing mathematics. Prerequisite: Sophomore mathematics major or permission of instructor. Communications in Mathematics is only offered during spring semesters.
303, 304 Advanced Calculus I, II – 3 Credits
Advanced Calculus I and II are courses that provide an extension of the concepts of basic calculus to functions of several variables including limits, continuity, differentiation and Riemann integration. These courses also offer treatment of selected topics not included in the basic calculus series as a foundation for more advanced courses in analysis and applied mathematics.< /br>Prerequisite for MA303: MA223 and either MA306 or permission of the instructor.< /br>Prerequisite for MA304: MA 303. Advanced Calculus I and II are offered in the Fall 2006 semester and every other year after that.
306 Discrete Mathematics – 3 Credits
Discrete Mathematics is a course in logic, sets, techniques of proof, relations and functions, directed and undirected graphs, algebraic systems and Boolean algebra with an emphasis on applications in various areas of computer science. Prerequisite: one semester of calculus and knowledge of computer programming. Discrete Mathematics is only offered during fall semesters.
308 Modern Geometry – 3 Credits
A course in modern geometries that includes foundations of Euclidean geometry and the development of non-Euclidean geometries. Recommended for prospective teachers. Prerequisite: MA108 or MA121. Modern Geometry will be offered Spring 2007 and every third year following.
309 Algebraic Structures – 3 Credits
Algebraic Structures is a course on groups, rings, fields, morphisms and vector spaces; special topics selected from group theory, algebraic number theory, field theory, Galois theory will also be explored. Prerequisite: MA306 or permission of the instructor. Algebraic Structures will be offered Fall 2005 and every other year following.
310 Linear Algebra – 3 Credits
Linear Algebra is a theoretical course on such topics as matrices, determinants, linear equations, vector spaces, bases and dimensions, linear transformations, eigenvalues and eigenvectors. Prerequisite: MA223 or MA224 or permission of the instructor. Linear Algebra is offered during spring semesters.
311 Statistical Methodology I – 3 Credits
Statistical Methodology I is designed to provide a firm foundation for the employment of statistical methodology in engineering and the sciences. Examples drawn from the technical fields will be used throughout. The course will cover probability, continuous and discrete statistical distributions, estimation, tests of hypotheses, and sample regression. As time permits, other topics may be examined based on the interests of the students. Prerequisite: MA223 or MA224 or permission of instructor. Statistical Methodology I is offered during fall semesters.
312 Statistical Methodology II – 3 Credits
Statistical Methodology II builds on material learned in MA311. Continued development of statistical techniques utilized in scientific and engineering research is included. Topics to be covered include regression, multiple regression, analysis of variance, experimental design, statistical quality control, and reliability analysis. Prerequisite: MA311. Statistical Methodology II is offered during Spring 2006 and every other year following.
318 Cryptology – 3 Credits
In Cryptology instructors cover fundamental mathematical concepts from modern algebra, number theory and other areas of mathematics. This course provides a foundation for the understanding of classical encryption systems. Modern encryption methods with an emphasis on the mathematical underpinnings germane to cryptology are explored. Cryptology prepares students for advanced study of modern cryptography and provides students with experience implementing encryption, decryption and cryptanalytic methods on a variety of systems. Prerequisite: MA240 and knowledge of a programming language or permission of instructor. Cryptology is offered during spring semesters.
360 Teaching Mathematics at the Elementary - Middle School Level – 3 Credits
This course is designed to introduce to students the content, methods and materials for the teaching of elementary and middle school mathematics. Prerequisites: MA103 and MA101 or MA102 or permission of the department. Teaching Mathematics at the Elementary – Middle School Level is offered Fall 2006 and every third year following.
370 Introduction to Operations Research – 3 Credits
This course concentrates on the fundamental concepts and techniques necessary to enable an individual to obtain “optimal” solutions to problems in business, economics, engineering and the physical and behavioral sciences. Topics include linear programming, network analysis and dynamic programming. Prerequisites: MA212 or MA223. Introduction to Operations Research is offered Spring 2005 and every other year following.
380 Theory of Computation – 3 Credits
This course introduces the theory of computability, including important results from the study of automata and formal languages. Theory of Computation includes introductory material about the theory of directed graphs and trees and a discussion of automata and their relationship to regular, context free and context-sensitive languages. General theories of computability, including Turing machines, and recursive functions, will be explored. Further topics include decidability, undecidability and computational complexity. Prerequisite: MA306. Theory of Computation is offered Spring 2006 and every other year following.
390 Numerical Linear Algebra and Analysis – 3 Credits
Numerical techniques for solving problems in linear algebra and analysis are explored in Numerical Linear Algebra and Analysis. Topics to be studied include integration, interpolation, function approximation, solutions of systems of equations and locating eigenvalues. Attention will be paid to the theoretical aspects of the techniques, with particular emphasis on estimation of errors and on convergence properties of iterative techniques. Prerequisite: MA224. Numerical Linear Algebra is offered Spring 2006 and every third year following.
405 Complex Analysis – 3 Credits
Complex Analysis is a course in complex numbers, analytic functions, differentiation and integration of complex functions, Taylor and Laurent series and the evaluation of improper real integrals will also be studied. Prerequisites: MA223 and either MA306 or permission of the instructor. Complex Analysis is offered Spring 2005 and every third year following.
407 Vector Analysis – 3 Credits
In Vector Analysis, students analyze scalar and vector fields. Topics included are Newtonian kinematics, Kepler’s Law of Planetary Motion, gradient, divergence, curl, theorems of Green, Stokes, Gauss and curvilinear coordinates. Prerequisite: MA223. Vector Analysis is offered Fall 2006 and every third year following.
411, 412 Senior Seminars – 3 Credits
Senior Seminars are advanced study programs designed to develop student competence in working independently and to afford students an opportunity to pursue topics not otherwise offered by the department. Prerequisite: senior standing in mathematics or permission of the instructor. This is the capstone course for the Mathematics Major.
421 Number Theory – 3 Credits
In Number Theory, students investigate the properties of integers, prime numbers, congruences, Diophantine equations and quadratic reciprocity. Prerequisite: MA306 or permission of the instructor. Number Theory is offered Spring 2005 and every third year following.