# Linear Algebra and Applications

 Date of commencement of Course Monday, November 15, 2021  Tentative Eligibility Any Graduate in Science, Engineering or Arts graduates with Mathematics background of XII Timings Shall be declared soon Expected Learning outcomes Participants shall understand and apply the concepts in Linear algebra like Matrices, Wavelets, Complex analysis Applications of eigen values and eigen vectors Applications of Singular Value Decomposition Course Fees (in Rs.) 6000/- Topics covered LA-I Introduction to Linear Algebra, Overview, Motivation, Values, Trends , Matrices, Basic Matrix operations, Inverse, Special Matrices and Applications, Complex Matrices, Solution of linear Equations, Solving AX=0, AX=b, Examples, Vector Spaces, Subspaces, Linear Independence, Basis, Inner product, Orthogonal vectors spaces and subspaces Projections and Least Squares, Linear Transformation basics, Computations with Matrices, Applications Eigen Values and Eigen vectors Eigen Values and Eigen Vectors, Applications Singular Value Decomposition (SVD) SVD Applications computations using scilab software computations using scilab software computations using scilab software LA-II Linear Functions: Background of Linear functions, Taylor series approximation, Examples, Regression Models, Examples Least squares: Least squares problem, Solution, Least squares data fitting, examples, Least squares classifier, Examples Complex Numbers and Linear Algebra: Real numbers and complex numbers, Complex Series, Euler’s Formula, and the Roots of Unity, Examples on complex numbers and Linear Algebra Wavelets and Linear Algebra: Wavelets basics, different wavelets, Haar Wavelets, Multiresolution analysis using the discrete wavelet transform, Applications example using wavelets using SCILAB Faculty/Experts/Resource  person Dr. Vikas Jadhav , Dr. Nivedita Mahajan, Prof. Swati Kandharkar, Prof. Priya Maini, Prof. Pratul Gadagkar, Dr. Ajay V. Deshmukh Program Coordinator Dr. Nivedita Mahajan (LA-I), Mobile: 9881075166, e-mail:- niveditahmahajan@gmail.com Dr. Vikas Jadhav (LA-II), Mobile: 9850628321, e-mail:- svikasjadhav@gmail.com

15th Nov 2021

Tentative

6000