Linear Algebra: The Mathematics of Matrices and Vector Spaces

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Intermediate—Fall

An introduction to the algebra and geometry of vector spaces and matrices, this course stresses important mathematical concepts and tools used in advanced mathematics, computer science, physics, chemistry, and economics. Systematic methods of solving systems of linear equations is the underlying theme, and applications of the theory will be emphasized. Topics of exploration include Gaussian elimination, determinants, linear transformations, linear independence, bases, eigenvectors, and eigenvalues. Conference time will be allocated to clarifying course ideas and exploring additional applications of the theory. This seminar is intended for students interested in advanced mathematics, computer science, the physical sciences, or economics.  Prerequisite: prior study of Calculus or Discrete Mathematics.