Contour integration: Cauchy-Riemann, polesģ. The course is focused on selected topics related to fundamental ideas and methods of Euclidean geometry, non-Euclidean geometry, and differential geometry in two and three dimensions and their applications with emphasis on various problem-solving strategies, geometric proof, visualization, and interrelation of different areas of mathematics. Fourier theory: transforms, applications to ODEs, PDEsĢ. Nonlinear equations: fixed points and linearizationĮmphasis III: Complex Variables (4 weeks)ġ. Emphasis on rigorously presented concepts, tools and ideas rather than on proofs. Calculus: derivatives, change of coordinatesĮmphasis II: Differential Equations (4 weeks)Ģ. Introductory course in modern differential geometry focusing on examples, broadly aimed at students in mathematics, the sciences, and engineering. The course concludes with a brief introduction to the theory of canonical forms for matrices and linear transformations. This course covers applications of calculus to the study of the shape and curvature of curves and surfaces introduction to vector fields, differential forms on. Topics covered include vector spaces, linear transformations, eigenvalues and eigenvectors, diagonalizability, and inner product spaces. Matrix algebra: matrices, solving equations, eigendecompositionsģ. Math 416 is a rigorous, abstract treatment of linear algebra. Euclidean geometry: vectors, dot products, RnĢ. The crux of this course is to learn Fourier analysis for solving boundary value problems, to study Sturm-Liouville Systems, and to use complex variables to study Fourier and Laplace transforms and their inversions.ġ. Greenberg: Advanced Engineering Mathematics (2nd Ed), Prentice Hall, Upper Saddle River. Prerequisite: Calculus III and Differential Equations Advanced Engineering Math Instructor Syllabus
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |