Course Archives Theoretical Statistics and Mathematics Unit

Course: Real Analysis II Instructor: B V Rajarama Bhat Room: Second floor auditorium Level: Undergraduate Time: Currently offered

Syllabus Past Exams Syllabus: The existence of Riemann integral for sufficiently well behaved functions. Fundamental theorem of Calculus, computation of definite integrals, improper integrals, sequences and series of functions, double sequences, pointwise versus uniform convergence for a function defined on an interval of R, term by term differentiation and integration, the Weierstrasss theorem about uniform approximation of a continuous function by a sequence of polynomials on a closed bounded interval. Radius of convergence of power series and real analyticity of functions. Reference Texts: (a) T. M. Apostol: Mathematical Analysis. (b) T. M. Apostol: Calculus. (c) S. Dineen: Multivariate Calculus and Geometry. (d) R. R. Goldberg: Methods of Real Analysis. (e) T. Tao: Analysis I & II. (f) Bartle and Sherbert: Introduction to Real Analysis. (g) H. Royden: Real Analysis. (h) K. A. Ross: Elementary Analysis. Evaluation: Mid-term 40 marks Mid-term 10 marks Final Exam 50 marks Total 100 marks Top of the page Past Exams

Midterm 23.pdf 24.pdf Semestral 22.pdf 23.pdf Supplementary and Back Paper 23.pdf Top of the page

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