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• Introduction of matrices and determinants,
• Addition subtraction, multiplication of Matrices, Linear system of equation,
• Gaussian Elimination Techniques
• Row reduced Echelon form, Rank of Matrix, Inverse of Matrix
• Gauss Jordan method
• determinants
• Crammers rule
• Application and problems of Linear algebra
• Mid Exam
• Eigen Value and Eigen Vectors
• Vector differential calculus, Gradient, Divergence
• curl, concepts of vector integral calculus
• Partial differential equations
• Fourier series basic concepts of PDE's, Wave equation
• Heat equations, Laplace equation
• Poisson equation and their solutions by using Fourier series
• Laplace transformation
• Final Exam