UM 101: Analysis and Linear Algebra I

Credits: 3:0

One-variable Calculus: Real and Complex numbers; Convergence of sequences and series; Continuity, intermediate value theorem, existence of maxima and minima; Differentiation, mean value theorem,Taylor series; Integration, fundamental theorem of Calculus, improper integrals. Linear Algebra: Vector spaces (over real and complex numbers), basis and dimension; Linear transformations and matrices.

Suggested books :

  1. Apostol, T. M., Calculus, Volume I, 2nd edition ,Wiley, India, 2007.
  2. Strang, G., Linear Algebra and its Applications, 4th Edition ,Brooks/Cole, 2006.

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Contact: +91 (80) 2293 2711, +91 (80) 2293 2265
E-mail: chairman.math[at]iisc[dot]ac[dot]in