
25872: Mathematical Methods in Engineering
Course Name: Mathematical Methods in Engineering
Course Number: 25872
Prerequisite(s): 22016 (General Math 2)
Co-requisite(s): -
Units: 2
Level: Undergraduate
Last Revision: Summer 2020
Description:
Syllabus:
References:
Course Number: 25872
Prerequisite(s): 22016 (General Math 2)
Co-requisite(s): -
Units: 2
Level: Undergraduate
Last Revision: Summer 2020
Description:
The purpose of this course is to familiarize with linear algebra and its applications in electrical engineering.
Syllabus:
- Vector and Vector Space: Field, vector space, linear dependence, linear independence, spanning a space, linear combination of vectors, change of basis in a space
- Linear operators in a Vector Space: One to one operator, onto operator, domain space, null space, rank of matrix, matrix null, inner product, norm function, different types of norms, orthogonal vectors, orthogonal bases and Gram-Schmidt procedure, similarity transformation, similar matrices, linear operators, norm operators, system of linear equations, adjunct operators, unitary and orthogonal matrices and their properties
- Eigenvectors and Eigenvalues: Eigenvectors, eigenvalues, diagonalization by similarity transformation, Jordan form, characteristics polynomial, minimum polynomials, positive definite, negative definite, positive semi definite and negative semi definite operators
- Matrix Decomposition and its Applications: Singular value decomposition, condition number, SVD, least square problem, SVD and pseudo inverse, QR, LU and Cholesky decompositions
References:
- Gilbert Strang, Linear Algebra and Its Applications, Fourth edition
- Carl D. Meyer, Matrix Analysis and Applied Linear Algebra, SIAM, 2000
- E. D. Nering, Linear Algebra and Matrix Theory
- N. Loehr, Advanced Linear Algebra, Taylor and Francis (CRC) press, 2014
Last Update: 2024-06-09