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ASSIGNMENTS: Assignment#1, Assignment#2, Assignment#3, Assignment#4 ____________________________________________________________________________________ COURSE SYLLABUS: Linear algebra: Vector spaces: Bases, dimensions, inner product, orthogonality, projection, linear transformations and operators, eigenvalues,
Partial differential equations: Linear PDEs: Transport, Heat, Wave and Laplace equations, DAlambert solution to wave equation, Separation of variables, Fourier, Bessel, Euler and Legendre expansions, Integral solution to heat equations, Classification of boundary value problems, First-order nonlinear PDEs: Characteristics,
Functions of complex variables: Preliminaries: Continuity, derivatives, analytic functions, Integrals: Contour integrals, Cauchy integral formula, Maximum modulus principle, Poisson integral formula, harmonic functions, Series: Taylor and Laurent series, Residues: poles, zeros, indefinite integrals, Argument principle, Conformal mapping*: Angle preservation, scale factor, local inverses,
Calculus of variations*: Basic optimization theory, Euler-Lagrange equations, Hamilton principle, ___________________________________________________________________ GRADING: 1. Assignments: 2. Quiz: 3. Mid-term exam: 4. Final exam: ___________________________________________________________________ REFERENCES: 1. L. C. Evans, Partial differential equations, AMS, V. 19, 1997 (SEE) 2. J. W. Brown, R. V. Churchill, Complex variables and applications, 8th edition, McGraw Hill, 2009 (SEE) 3. E. Kreyszic, Advanced engineering mathematics, 10th edition, John Wiley and sons, 2011 (SEE) 4. M. D. Greenberg, Advanced engineering mathematics, 2nd edition, Prentice Hall, 1998 (SEE) 5. C. R. Wylie, L. C. Barrett, Advanced engineering mathematics, 5th edition, McGraw-Hill, 1982 6. S. Axler, Linear algebra done right, 2nd edition, Springer, 1997 (SEE) |
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Control systems are ubiquitous |
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Sharif university of technology Department of electrical engineering Digital systems group/Robotics
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Engineering Math. 25-735, Fall 2020 Credits: 3 Level: Undergraduate, required Prerequisite: Calculus Hours: Saturday, Monday, 10:30am-12:00pm Location: vclass Final Grades |
