# Integrated Ph.D. in Mathematical Sciences

INDIAN INSTITUTE OF SCIENCEPrice on request

Price on request

Price on request

## Important information

- PhD
- Bangalore
- Duration:

2 Years

Starts | Location |
---|---|

On request |
BangaloreIndian Institute of Science, Bangalore , 560012, Karnataka, India See map |

## Course programme

Core courses for Integrated Ph.D. in Mathematical Sciences Ist Year

Algebra I

Linear Algebra

Analysis I

Topology I

Probability Models

Core courses for Integrated Ph.D. in Mathematical Sciences IInd Year

Functional Analysis

Partial Diff. Eqns.

Topology & Geometry

Core courses for Ph.D. Students

Topology II

Core courses for Integrated Ph.D. in Mathematical Sciences Ist Year

Complex Analysis II

Numerical Methods

Harmonic Analysis

Topics in Several Complex Variables

Brownian Motion

Distribution Theory & Linear Partial Differential Operators

Core courses for Integrated Ph.D. in Mathematical Sciences Ist Year

Analysis II

Complex Analysis

Calculus on manifolds

Ordinary Differential Equations

Elective Courses:

Algebra II

Probability Theory

Operator Theory

Operator Theory II

Algebraic Topology

Riemannian Geometry

Topics in Riemannian Geometry

Computer Assisted Topology and Geometry

Advanced PDE and FEM

Linear and Nonlinear Time Series Analysis

Spectral Algorthms