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Course Criteria
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3.00 Credits
Matrix algebra, ordinary differential equations, and operational techniques. Prerequisite: MATH 151. Students may not take both MATH 310 and 330 for credit. (spring semester, every year)
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3.00 Credits
Boundary value problems, partial differential equations, Fourier methods, and introduction to complex analysis. Prerequisites: MATH 250, 310. Students may not take both MATH 311 and 331 for credit. (fall semester, every year)
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3.00 Credits
Introduction to probability; discrete and continuous random variables; conditional and joint distributions and densities; functions of random variables; expectation and estimation; central limit theorem; introduction to statistics; introduction to random sequences and random processes. Prerequisite: MATH 250. (spring semester, every year)
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3.00 Credits
Systems of linear equations, matrix algebra and operations, vector spaces of three or more dimensions, linear independence, inner product spaces, linear transformations and their matrices, determinants, eigenvalues and eigenvectors, and brief introduction to canonical forms. Prerequisite: MATH 151 or consent of instructor. It is recommended that students take MATH 160 before taking MATH 320. (every semester)
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3.00 Credits
Selected topics from the history of mathematics. The course will include a variety of writing assignments. Emphasis will be on the history of mathematical ideas, rather than on personalities or social background. Prerequisite: MATH 250. (spring semester, even years)
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3.00 Credits
Preliminary ideas, differential equations of the first and second order, linear equations with constant coefficients, operational techniques, simultaneous equations, series solutions, and applications. Prerequisite: MATH 250. (fall semester, every year)
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3.00 Credits
Preliminary notions, techniques for solving well-known partial differential equations of physics, orthogonal functions, and applications. Prerequisite: MATH 330.
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3.00 Credits
Approximate computations and round-off errors, Taylor expansions, numerical solution of equations and systems of equations, numerical integration, numerical solution of differential equations, interpolation, and problem solving on the computer. Prerequisites: MATH 151 and COMP 150. Cross-listed as COMP 340. (spring semester, every year)
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3.00 Credits
Estimation of eigenvalues and eigenvectors of matrices; numerical solutions of differential equations, existence, and stability theory; and computer lab assignments. Prerequisites: MATH 250, 320, 330 (may be taken concurrently), and 340.
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3.00 Credits
Probability axioms, conditional probability, discrete and continuous sample spaces, random variables and common distributions, jointly distributed random variables, and central limit theorem. Prerequisite: MATH 250 or consent of instructor. (fall semester, every year)
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