CSS.101.1 Mathematical Foundations for Systems Sciences

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Instructor: 

Hariharan Narayanan

Semester: 

  • 2021 Autumn/Monsoon (Aug - Dec)
  • Linear Algebra
    • Vector Spaces, Finite-Dimensional Vector Spaces, Linear Maps, Polynomials, Eigenvalues, Eigenvectors, and Invariant Subspaces, Inner Product Spaces, Operators on Inner Product Spaces, Operators on Complex Vector Spaces, Trace and Determinant
  •  Analysis
    •  Metric spaces, Continuous functions on metric spaces, Uniform convergence, Power series, Fourier series, Several Variable Differential Calculus, Lebesgue measure,Lebesgue integration

Textbooks:
1. Axler, "Linear Algebra done right"
2. Tao, "Analysis II."