.. nunggu-web documentation master file, created by sphinx-quickstart on Sat Apr 2 21:28:31 2011. You can adapt this file completely to your liking, but it should at least contain the root `toctree` directive. EE 202 - EE MATH II ==================== Announcement ------------- - Online course will be taught in MS Team. - Please register to this course in Courseville. - Class schedules, HWs, and other administrative stuff are available in CourseVille Lecture notes --------------- All the following slides are combined in `EE202_JSS_handouts.pdf <./ee202/EE202_JSS_handouts.pdf>`_ (185 pages and ready to print in A4 paper). **Linear algebra** 0. `Introduction to mathematical proofs`_ 1. `Systems of linear equations`_ #. `Vectors and Matrices`_ #. `Eigenvalues and eigenvectors`_ #. `Function of square matrices`_ #. `Vector spaces`_ #. `Linear transformation`_ **Complex Analysis** 7. `Complex numbers <./ee202/complexnum.pdf>`_ #. `Analytic functions <./ee202/analytic.pdf>`_ #. `Elementary functions <./ee202/elfuns.pdf>`_ #. `Integrals <./ee202/integrals.pdf>`_ #. `Series <./ee202/series.pdf>`_ #. `Residue theorem and its application <./ee202/residue.pdf>`_ .. _Introduction to mathematical proofs: ./ee202/mathproofs.pdf .. _Systems of linear equations: ./ee202/lineq.pdf .. _Vectors and Matrices: ./ee202/matrix.pdf .. _Vector spaces: ./ee202/vecspace.pdf .. _Linear transformation: ./ee202/lintran.pdf .. _Eigenvalues and eigenvectors: ./ee202/eigen.pdf .. _Function of square matrices: ./ee202/matfn.pdf Homework ------------- Read the `homework instruction <./ee202/instruction_hw.pdf>`_ here. Video lectures ---------------- Our official video channel is `EE202 EE Math 2 `_ on Microsoft Stream (Chula login required) where all recorded lectures and live classroom videos have been archived. If you want to re-watch the class lecture, go to class MS Team. This information and video playlist are also available on EE202 CourseVille. Recorded lectures sorted by topics can be viewed from the following playlist. All copyrights reserved to Jitkomut Songsiri, `Nisachon Tangsangiumvisai `_ and `Suchin Arunsawatwong `_, the instructors of this course. 0. `Introduction to mathematical Proofs (JSS) `_ #. Systems of linear equations (NTS) 1. `definition of linear equations, elementary row operations `_ #. `Gaussian elimination, row echelon and reduced echelon forms, solutions of linear systems `_ #. `homogeneous systems, matrices, inverse of matrices `_ #. `elementary matrices, computing the inverse of matrices `_ #. Vectors, Matrices and Determinants 1. `Determinants `_ #. `Determinants, Proofs and examples, recorded in 2015. `_ #. Eigenvalues and eigenvectors (JSS) 1. `Linear independence and linear span `_ #. `Definition of eigenvalues `_ #. `Properties of eigenvalues and Diagonalization `_ #. `Advanced topic: eigenvalues of special matrices (symmetric, unitary, idempotent, orthogonal projection, nilpotent, positive semidefinite) `_ #. Function of square matrices (JSS) 1. `Matrix exponential `_ #. `Applications of eigenvalues on solving differential equations `_ #. Vector spaces (SAR) #. Linear transformation (JSS) 1. `Definition and Examples `_ #. `Kernel and Range (contain mistakes, read the correction on the video detail) `_ #. `Rank-Nullity Theorem proof and example `_ #. `One-to-one, Onto, Isomorphism (contain mistakes, read the correction on the video detail) `_ #. `Composite and Inverse `_ #. Complex number (JSS) 1. `complex number `_ #. `roots of complex number `_ #. `regions in complex plane `_ #. Analytic functions (JSS) 1. `function of complex variables `_ #. `limit `_ #. `properties of limit `_ #. `continuity of functions `_ #. `derivative of functions `_ #. `differentiation formula `_ #. `Cauchy Riemann equations `_ #. `sufficient conditions for differentiability `_ #. `analytic functions `_ #. Elementary functions (NTS) 1. `exponential, trigonometric, hyperbolic `_ #. `logarithmic, complex components `_ #. `exponential, trigonometric, hyperbolic, logarithmic, complex components `_ #. Complex Integrals (NTS) 1. `line integral, Green lemma, Cauchy's theorem `_ #. `upper bound of modolus of contour integrals, principle of deformation of paths, Cauchy's integral formula `_ #. Infinite series (NTS,JSS) 1. `Taylor series `_ #. `Laurent series `_ #. Residue and its applications (JSS) 1. `Residue definition `_ #. `Cauchy Residue Theorem `_ #. `Residue formula `_ #. `application of residue theorem to improper integrals `_ #. `application of residue theorem to improper integrals from Fourier `_ #. `application of residue theorem to inversion of Laplace transform `_ Some of the lectures recorded in 2013 are available on my `YouTube channel `_. Course Information -------------------- :Lectures: Mon/Wed 9:30-11 AM, Online: MS Team :Instructors: - Section 1: Assist. Prof. Suchin Arunsawatwong (SAR), ENG 3 204 - Section 2: Assoc. Prof. Nisachon Tangsangiumvisai (NTS), ENG 3 205 - Section 3: Jitkomut Songsiri (JSS), ENG 3 206 :Textbooks: The first two books are main reference books for this course. - J.W. Brown and R.V. Churchill, Complex Variables and Applications, 8th edition, McGraw-Hill, 2008. - W.K. Nicholson, Linear Algebra with Applications, 5th edition, McGraw-Hill, 2006. - H.Anton and C. Rorres, Elementary Linear Algebra, 10th edition, John Wiley, 2011. - M.Dejnakarin, Mathematics for Electrical Engineers, 3rd edition, Chulalongkorn University Press, 2006. - P.V. O’Neil, Advanced Engineering Mathematics, 4th edition, WPS Publishing, Boston, 1995. - D.C. Lay, Linear Algebra and its applications, 3rd edition, Addison-Wesley, 2003. :Grading: Refer to what has been announced in My CourseVille :Material: `MATLAB Tutorial `_