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Course Criteria
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4.00 Credits
Calculus of several variables, partial derivatives, critical points, multiple integrals, gradient, curl, divergence, Green's Theorem and Stokes' Theorem. Prerequisites: MATH:112 Calculus II and MATH:201 Linear Algebra. 4 SH.
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4.00 Credits
An elementary approach to fundamental algebraic concepts. Emphasizes logic, proof techniques, relations, functions, graphs, Boolean algebra and computer logic. Also stresses modular arithmetic, algebraic structures, counting principles, coding theory and finite state machines. Prerequisite: MATH:111 Calculus I. 4 SH.
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2.00 Credits
A rigorous study of the theoretical basis of single-variable differential and integral calculus: limits, continuity, differentiation and integration. Prerequisite: MATH:112 Calculus II. 2 SH.
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4.00 Credits
A more detailed study of algebraic structures. Introduces fundamental concepts of groups, rings and fields. Prerequisites: MATH:201 Linear Algebra. Prerequisite: MATH:221 Discrete Structures. 4 SH.
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4.00 Credits
A concentrated study of elementary geometry. Includes Euclidean and non-Euclidean geometries and selected topics such as symmetry, Penrose tilings, fractals, knots, mapmaking, and the shape of the universe. Prerequisites: MATH:201 Linear Algebra, MATH:221 Discrete Structures. 4 SH.
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2.00 Credits
An introduction to the computational techniques for solving mathematical problems. Topics include roots of non-linear equations, interpolation, numerical differentiation and integration, and numerical solutions of differential equations. Same as CSCI:351. Prerequisites: MATH:111 Calculus I; MATH:112 Calculus II is suggested. 2 SH.
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2.00 Credits
A theoretical study of the standard numerical techniques for solving mathematical problems. Topics include roots of nonlinear equations, polynomial interpolation, solving systems of equations, numerical integration and numerical solutions of differential equations. Same as CSCI:352. Prerequisites: MATH:112 Calculus II, MATH:201 Linear Algebra, MATH:351 Numerical Computing. 2 SH.
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4.00 Credits
Introduces theory, basic solution methods, and applications of ordinary differential equations. Prerequisites: MATH:112 Calculus II and MATH:201 Linear Algebra or instructor's permission. 4 SH.
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4.00 Credits
Mathematical models and optimization techniques useful in decision making. Includes linear programming, game theory, integer programming, queuing theory, inventory theory, networks and reliability. Further topics, such as non-linear programming and Markov chains, as time permits. Same as CSCI:355. Prerequisites: MATH:112 Calculus II, MATH:201 Linear Algebra, MATH:141 Introduction to Statistics, and MATH:221 Discrete Structures, or permission of instructor. 4 SH.
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4.00 Credits
Cryptology is the study of hiding the meaning of messages. Cryptology is an interesting venue for the study of its mathematical underpinnings {number theory, matrix algebra, probability and statistics} and as an opportunity to implement techniques by means of computer programs. We will consider monoalphabetic and polyalphabetic encryptions, public key cryptography, security, and anonymity. Same as CSCI:370. Prerequisite: MATH:221 Discrete Structures. 4 SH.
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