Course Details

Course details of EE5412
Course NoEE5412
Course TitleMathematical Methods in System Engineering
Course Content1. Introduction to vector spaces: Systems of linear equations, Subspaces and bases, Orthogonal bases and orthogonal projections, Gram-Schmidt process, Linear models and least-squares problems, Eigenvalues and Eigenvectors, Symmetric and positive definite matrices.2. Functions on Euclidean space: Subsets of Euclidean space, Norms and inner product, Functions and continuity, Sequences and convergence.3. Calculus on Manifolds: Existence and uniqueness of solutions of ODEs, Derivatives, partial derivatives, Inverse and Implicit function theorem, Introduction to Manifolds, tangent bundle, vector fields, Lie brackets, distributions and Frobenius theorem.
Course Offered this semesterNo
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