August  December 2016
Core courses for Integrated Ph.D. in Mathematical Sciences I^{st} Year  
Course No.  Credits  Course Title  Instructor 
MA 212  3:0  Algebra I  Abhishek Banerjee 
MA 219  3:0  Linear Algebra 
Pooja Singla 
MA 221  3:0  Analysis I: Real Anaysis  E. K. Narayanan 
MA 231  3:0  Topology  Subhojoy Gupta 
MA 261  3:0  Probability Models  M. K. Ghosh 
Core courses for Integrated Ph.D. in Mathematical Sciences II^{nd} Year  
MA 223  3:0  Functional Analysis  S. Thangavelu 
MA 232  3:0  Introduction to Algebraic Topology  Siddhartha Gadgil 
MA 242  3:0  Partial Differential Equations  Thirupathi Gudi 
Elective Courses  
MA 278  3:0  Introduction to Dynamical Systems Theory  Govindan Rangarajan & Janaki Balakrishnan 
MA 321  3:0  Analysis III  A. K. Nandakumaran 
MA 340  3:0  Advanced Functional Analysis  Tirthankar Bhattacharyya 
MA 351  3:0  Modular Forms  Soumya Das 
MA 361  3:0  Probability Theory  Srikanth K. Iyer 
MA 380  3:0  Introduction to Complex Dynamics  Gautam Bharali 
January  April 2017
Core courses for the Integrated Ph.D. programme in I^{st} Year  
Course No.  Course Title  Instructor  
MA 213  Algebra II  Abhishek Banerjee  
MA 222  Analysis II : Measure and Integration  Gautam Bharali  
MA 224  Complex Analysis  E. K. Narayanan  
MA 229  Calculus on Manifolds  Gadadhar Misra  
MA 241  Ordinary Differential Equations  G. Rangarajan 
Elective Courses  
MA 313  Algebraic Number Theory  Dilip P. Patil  
MA 327  Topics in Analysis  Manjunath Krishnapur  
MA 332  Algebraic Topology  Subhojoy Gupta  
MA 334  Introduction to Homotopy type theory  Siddhartha Gadgil  
MA 350  Algebraic_Number_theory  Soumya Das  
MA 371 
Control and Homogenization  A. K. Nandakumaran  
MA 383  Introduction to Minimal Surfaces  Rukmini Dey / Kaushal Verma.  
MA 390  Percolation and Random Graphs  Srikanth Iyer 


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