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1. Matrices
Notation and Terminology,The solution of simultaneous equations by Gaussian elimination, Rank and row-echelon normal form.
Arithmatic of Matrices, Inverses,Determinant, Linear Dependence. Homogeneous and Nonhomogeneous systems.
Norms and Inner products, Orthogonal sets, Least squares, Eigen values and Eigen vectors
Systems of Linear Differential equations.Symmetric and simple matrices
2. Vector Analysis
Vector Algebra, Vector Differentiation, Gradient, Cylindrical and Spherical coordinator, Integral theorems.
3. Fourier Series
Fourier Theorems, Computation of Fourier coefficients, Forced Oscillations and miscellaneous Expansion Techniques.
Text Book:
Mathematical Methods by M.C. Potter and J. Goldberg (Chapters 4, 5, 6 & 7).
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