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Ok, I am providing you the syllabus of B.Sc Final year of Sant Gadge Baba Amravati University SGBAU B.Sc Final year Syllabus Semester V Sr.No. Subject 1 Mathematics (Paper IX) 2 Mathematics (Paper X) 3 Science subjects excluding Mathematics Semester VI Sr.No. Subject 1 Mathematics (Paper XI) 2 Mathematics (Paper XII) 3 Science subjects excluding Mathematics 5S Mathematics  Paper – IX (Analysis) Unit I : Riemann Integral. Integrability of continuous and monotonic functions. The fundamental theorem of integral calculus. Mean value theorems of integral calculus. Improper integrals and their convergence. Comparison and limit tests . Unit II : Continuity and differentiability of complex functions. Analytic functions. CauchyRiemann equations. Harmonic and Conjugate functions. Milne Thompson method Unit III : Elementary functions Mapping by elementary functions. Mobius transformations. Fixed points. Cross ratio. Inverse points and critical points. Conformal mappings. Unit IV : Metric Spaces :Countable and uncountable sets. Definition & examples of metric spaces. Neighbourhoods. Limit points. Interior points. Open and closed sets. Closure, Interior & boundary points. Subspace of a metric space. Cauchy sequences. Completeness. Cantor’s intersection theorem. Baire category theorem. Unit V : Compactness. Connectedness. Limit of functions. Uniform continuous functions. Continuity and compactness. Continuity and connectedness. Reference Books : 1. R. R. Goldberg:Methods of Real Analysis, Oxford IBH publishing Co. New Delhi, 1970. 2. T. M. Karade, J. N. Salunke, K. S. Adhav, M. S. Bendre : Lectures on Analysis, Sonu Nilu Publication, Nagpur. 3. Walter Rudin: Principles of Mathematical Analysis, International students edition (Third edition ) 4. T. M. Apostol :Mathematical Analysis, Narosa Publishing House, New Delhi, 1985., 5. S. Lang : Undergraduate Analysis, SpringerVerlag New York, 1983. 6. D. Somasundaram & B. Choudhari : A First Course in Mathematical Analysis, New Delhi. 1997. 7. Shanti Narayan : A Course of Mathematical Analysis, S. Chand & Co., New Delhi. 8. P. K. Jain & S. K. Kaushik : An Introduction to Real Analysis, S. Chand & Co. New Delhi, 2000. 9. R. V. Churchiln and J.W.Brown, Complex Variables and Applications, 5th Edition, McGraw Hill, New York,1990 10. Mark J Ablowitz and : A.S. Fokas, Complex Variable Introduction and Application ,Cambridge University Press ,South Asian Edition ,1998. 11. Shanti Narayan : Theory of functions of Complex Variable,,S.Chand and Co. New Delhi. 12. E.T.Coption,:Metric Spaces, Cambridge University Press ,1968. 13. P.K.Jain and K.Ahmed ,:Metric Spaces ,Narosa Publishing House, New Delhi 1996. 14. G.F.Simmons :Introduction to Topology and Modern Analysis, McGraw Hill, New York,1963 For complete syllabus here is the attachment Contact Sant Gadge Baba Amravati University Camp Area, Near Tapovan Gate, Amravati, Maharashtra 444602 Last edited by Anuj Bhola; October 16th, 2019 at 04:04 PM. 
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