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 
LAI 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 
LAII 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 (LAI), Mobile: 9881075166, email: niveditahmahajan@gmail.com Dr. Vikas Jadhav (LAII), Mobile: 9850628321, email: svikasjadhav@gmail.com 