Course Archives    Theoretical Statistics and Mathematics Unit
Course: Analysis II
Instructor: B V Rajarama Bhat
Room: G24
Level: Undergraduate
Time: Currently offered
Past Exams

Syllabus (Metric spaces and Multivariate Calculus): The existence of Riemann integral for sufficiently well behaved functions. Fundamental theorem of Calculus. Calculus of several variables: Differentiability of maps from R^m to R^n and the derivative as a linear map. Higher derivatives, Chain Rule, Taylor expansions in several variables, Local maxima and minima, Lagrange multiplier.Elements of metric space theory - sequences and Cauchy sequences and the notion of completeness, elementary topological notions for metric spaces sets, closed sets, compact sets, connectedness, continuous and uniformly continuous functions on a metric space. The Bolzano - Weirstrass theorem, Supremum and infimum on compact sets, R^n as a metric space.

Midterm Exam 40 marks
Assignment 10 marks
Final Exam 50 marks
Total 100 marks

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Past Exams
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Supplementary and Back Paper
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