Minor Program

Minor is an additional credential a student may earn if s/he does 30 credits worth of additional learning in a discipline OTHER THAN her/his MAJOR DISCIPLINE of B.Tech. degree.

Students have to register for 3 compulsory core courses and 2 elective courses as given below.

Minor program out-line

3 core courses: in Semesters 3, 4 and 5 are

1. SC 639 (Semester 3) - Mathematical structures for control
   Pre-requisite: First course in calculus
   
   Content:
   Groups
   Vector spaces and linear algebra
   Multivariable calculus
   Real Analysis
   Convergence (Sequences and Series)
   Convexity
   
   Textbooks:
   1. K. Hoffman and R. Kunze, “Linear Algebra”, Prentice Hall, 2015
   2. I. N. Herstein, “Topics in Algebra”, Wiley, 2006
   3. W. Rudin, “Principles of Mathematical Analysis”, TaTa McGraw Hill, 1976
   4. J. Munkres, “Analysis on Manifolds”, CRC Press, 2018
   5. David G. Luenberger, “Optimization by vector space method”, New York: John Wiley, 1969



2. SC 202 (Semester 4) - Signals and feedback systems
   Pre-requisite: SC 639
   
   Content: Signals and systems and their interconnections, convolution, differential and difference equations, state variable models, Fourier, Laplace and z-transforms, regions of convergence, the transfer function, linear feedback systems, the stability problem, the Routh-Hurwitz and root locus method.
   
   Textbook:
   1. Signals and Systems - S. Haykin and B. Van Veen, John Wiley, 2003.
   2. Signals and Systems - A. V. Oppenheim and A. S. Willsky, Prentice Hall, 1996.



3. SC 301 (Semester 5) - Linear and nonlinear systems
   
   Pre-requisite: SC 639 and 202.
   
   Content: Linear state-space models, solutions, controllability, observability, state-feedback (both continuous and discrete domain.) Nonlinear state-space models, phase plane diagrams, existence and uniqueness of solutions, Lyapunov stability.
   
   Textbook:
   1. Linear Systems Theory - C .T. Chen,
   2. Nonlinear Systems - H. Khalil, Prentice Hall, 2002.
   
   
   

   2 elective courses from the list attached: Semesters 6, 7 and 8

   All SC Courses and the following:
   
   1. CL 692 - Digital Control
   2. CL 686 - Advanced Process Control
   3. EE 640 - Multivariable Control Systems
   4. EE 636 - Matrix Computations