• Instructor: Parimala Kancharla: (office: A17.03.06, email: parimala@iitmandi.ac.in)
  • Office Hours: (or by appointment)
  • Credit Structure: 3-0-2-4
  • Class Venue: A17-1B
  • Class Timings: E-slot
  • Piazza Course code - ds412, Link to join
  • Syllabus - Textbooks
  • TAs

    • Evaluation

  • Tutorials/Quizzes - 15%
  • Midsem - 25%
  • Endsem - 40%
  • Lab
    1. Assignments - 20%

    Resources

    S.N Topic Notes External References
    1. Introduction Notes
    1. -
    2. Fields Notes
    1. Heffman, Linear Algebra - Chapter 1
    2. Dongryul Kim, Linear Algebra - Chapter 2
    3. Vector space Notes
    1. Friedberg and Spence, Linear Algebra - Chapter 1
    4. Fundamentals of Linear Algebra Notes
    1. Friedberg and Spence, Linear Algebra - Chapter 1
    5. Fundamental Subspaces
    1. Notes
    2. Notes
    1. Gilbert_Strang_Linear_Algebra_and_Its_Application- Chapter 2(section 2.4)
    6. Rank of a Matrix: Properties Notes
    1. Gilbert_Strang_Introduction_to_Linear_Algebra_5th_edition- Chapter 3(section 3.5)
    7. Inner Product
    1. Notes
    2. Notes
    1. Friedberg and Spence, Linear Algebra - Chapter 6
    8. Gram-Schmidt algorithm Notes
    1. Friedberg and Spence, Linear Algebra - Chapter 1
    9. Cholesky Decomposition
    1. Notes
    2. Notes
    3. Notes
    1. David S.Watkins, Fundamentals of Matrix Computations - Chapter 1
    10. LU Decomposition
    1. Notes
    2. Notes
    3. Notes
    1. David S.Watkins, Fundamentals of Matrix Computations - Chapter 1
    11. LDV Decomposition
    1. Notes
    1. David S.Watkins, Fundamentals of Matrix Computations - Chapter 1
    12. Partial Pivoting
    1. Notes
    2. Notes
    1. David S.Watkins, Fundamentals of Matrix Computations - Chapter 1
    13. Sensitivity of Linear Systems
    1. Notes Notes
    1. David S.Watkins, Fundamentals of Matrix Computations - Chapter 2
    14. QR Decomposition
    1. Notes - Rotation Matrix
    2. Notes - Reflectors
    3. Notes - QR-nonsingular
    4. Notes - Least Squares Problem
    5. Notes - Updating QR Decomposition
    1. David S.Watkins, Fundamentals of Matrix Computations - Chapter 3
    15. Singular Value Decomposition
    1. Notes - SVD Theorem
    2. Notes - II
    3. Notes - III
    4. Notes - IV
    1. David S.Watkins, Fundamentals of Matrix Computations - Chapter 4

    Assignments&Tutorials

    S.N Material Due Date
    1. Assignment-0 17/08/2026
    2. Assignment-1 06/09/2026

    Doubts / Clarifications

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