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Course Criteria
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3.00 Credits
Illustrates the origins of ideas, processes and topics in the history of mathematics. Biographical sketches of the creators, descriptions of their diverse cultures and a writing project are included. PREREQ: MATH221 or MATH232 or MATH241.
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3.00 Credits
Algorithmic graph theory and computational geometry. Topics in graph theory cover shortest path problems, coloring problems, and others. The computational geometry covers Steiner tree, convex hull, design of experiments and Selected topics. PREREQ: MATH210.
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3.00 Credits
Topics include first and second order differential equations, systems of algebraic equations, determinants, vector spaces, eigenvalues and eigenvectors of matrices and systems of differential equations. Emphasis on the interaction between these topics and appropriate physical systems. PREREQ: MATH242 RESTRICTIONS: Credit not given for both MATH341 and either MATH302, MATH349 or MATH351. Open to majors outside mathematics.
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3.00 Credits
A continuation of MATH351. Topics include nonlinear systems, Fourier Series, Laplace transform methods, linear transformations, inner product spaces, orthogonality, and use of numerical software. Continued emphasis on the interaction between these topics and physical systems. PREREQ: MATH351. RESTRICTIONS: Students who received credit in MATH302 or MATH349 are not eligible to take this course without permission.
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3.00 Credits
Systems of linear equations, linear combinations of vectors, and matrix algebra. Determinants, eigenvalues and eigenvectors, similarity and diagonalization of square matrices. Vector spaces, linear dependence and independence, basis and dimension, linear transformations. Inner product spaces, orthogonality, orthogonal projections, fundamental subspaces. A software package may be used for the analysis and solution of linear algebra problems. PREREQ: MATH230 or MATH242. RESTRICTIONS: Students who received credit in MATH342 or MATH351 are not eligible to take this course without permission.
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3.00 Credits
Introduces the basic theory of discrete and continuous aspects of probability theory. Topics include bivariate distributions, sums of independent random variables, moment generating functions, laws of large numbers and central limit theorem. COREQ: MATH243. RESTRICTIONS: Requires basic knowledge of the counting principles in permutation and combination.
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3.00 Credits
Solutions of linear algebraic equations, Gauss elimination, vector spaces, subspaces, linear dependence, linear ordinary differential equations of 2nd order and higher, initial value problems, eigenvalues, coupled linear ordinary differential equations, nonlinear differential equations, with engineering applications. COREQ: MATH243. RESTRICTIONS: Students who received credit in MATH302 or MATH349 are not eligible to take this course without permission.
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3.00 Credits
Laplace transform, application to constant coefficient ordinary differential equations, scalar and vector fields, Laplacian, line integrals, divergence theorem, Stokes' theorem, Fourier series, orthogonality, diffusion equation, Laplace's equation, wave equation, separation of variables, with engineering applications. PREREQ: MATH351 RESTRICTIONS: Open to MEEG and CIEG majors only.
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3.00 Credits
Numerical Methods in engineering, linear and non-linear algebraic equations, numerical solution of ordinary differential equations, Runge-Kutta methods, boundary value problems, finite differences, diffusion, Laplace equation, applications to engineering problems with programming. PREREQ: MATH351 and CISC106. RESTRICTIONS: Open to MEEG and CIEG majors.
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1.00 - 6.00 Credits
No course description available.
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