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Course Description Form

Course number and title: EE208A Analytical Methods of Engineering I
Credits: 4
Instructor(s)-in-charge: Not offered in 2011-12
Course type: Lecture
Required or Elective: A Signals and Systems course.
Course Schedule:
Lecture: 4 hrs/week
Outside Study: 8 hrs/week
Office Hours: 2 hrs/week
Course Assessment:
Homework: Several assignments.
Exams: 1 midterm and 1 final examination.
Grading Policy: To be discussed during first lecture.
Course Prerequisites:
Catalog Description: Application of techniques of linear algebra to engineering problems. Vector spaces: scalar products, Cauchy/Schwarz inequality. Gram/Schmidt orthogonalization. Matrices as linear transformations: eigenvalues and spectrum. Self-adjoint and covariance matrices. Square root and factorization, Cholesky decomposition. Determinants, Cayley/Hamilton theorem. Minimal polynomials, Bezout theorem. Polar and singular value decomposition. Sequences, convergence, and matrix exponential. Applications to problems in signal processing, communications, and control.  
Textbook and any related course material:
Lecture notes by instructor.
Course Website
Topics covered in the course:
A glimpse into Hilbert Spaces.
Adjoint Transformation; Cholesky factorization; Penrose Inverse; Matrix Decomposition.
Bezout Theorem and System Theory; Spectral Mapping Theorem.
Linear Transformations on Finite Dimensional Scalar Product spaces and Matrices: Range and Rank.
Polar and Singular-Values Decompositions (SVD).
Scalar Product Space: Orthogonality; Orthonormal Basis; Orthogonal Projections and Minimization problems.
Spectral Theory: Eigenvalues, Eigenvectors and Characteristic Polynomial; Cayley-Hamilton Theorem; Minimal Polynomial.
Vector Spaces.
Will this course involve computer assignments? NO Will this course have TA(s) when it is offered? NO

:: Last modified: February 2013 by J. Lin ::

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