### 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 :

1. Hoffman, K. and Kunze, R., Linear Algebra (2nd Ed.) .
2. Herstein, I. N. and Winter, D. J., Matrix Theory and Linear Algebra ,Macmillan, 1989.
3. Simmons G. F., Differential Equations ,Tata McGraw-Hill, 1985.
4. Churchill, R. V., Complex Variables and Applications ,McGraw-Hill, 1960.

#### All Courses

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265
E-mail: chairman.math[at]iisc[dot]ac[dot]in