MATHEMATICAL METHODS

Matrix Algebra: Systems of linear equations, Nullspace, Range, Nullity, Rank, Similarity, Eigenvalues, Eigenvectors, Diagonalization, Jordan Canonical form. Ordinary Differential Equations: Singular points, Series solution Sturm Liouville problem, Linear Systems, Critical points, Fundamental matrix, Classification of critical points, Stability.

Complex Variables:Analytic functions, Cauchy�s integral theorem and integral formula, Taylor and Laurent series, isolated singularities, Residue and Cauchy�s residue theorem chwarz lemma.

Books


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Last updated: 17 May 2024