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 201

    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 201 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

    (This list is not exhaustive and we propose to include a few more.)

      1. SC 627 - Motion Planning and Coordination of Autonomous Vehicles
      2. SC 624 - Differential Geometric Methods in Control
      3. SC 613 - Multivariable Control Systems
      4. SC 700 - Embedded Control Systems
      5. SC 602 - Control of Nonlinear Dynamical Systems
      6. SC 605 - Optimization-based Control of Stochastic Systems
      7. SC 607 - Optimization
      8. SC 612 - Introduction to Linear Filtering and Beyond
      9. SC 616 - Large Scale Systems
    10. SC 617 - Adaptive Control Theory
    11. SC 623 - Optimal and Robust Control
    12. CL 692 - Digital Control
    13. CL 686 - Advanced Process Control
    14. EE 640 - Multivariable Control Systems
    15. EE 636 - Matrix Computations
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