MA 246: Mathematical Methods
Credits: 3:0
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.
Suggested books and references:
- Hoffman, K. and Kunze, R., Linear Algebra (2nd Ed.)
- Herstein, I. N. and Winter, D. J., Matrix Theory and Linear Algebra, Macmillan, 1989.
- Simmons G. F., Differential Equations, Tata McGraw-Hill, 1985.
- Churchill, R. V., Complex Variables and Applications, McGraw-Hill, 1960.