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Re: SGBAU Amravati University Syllabus
For your help here I am providing the syllabus for B.Sc Final year of Sant Gadge Baba Amravati University. 1. 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. Improperintegrals 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. For the complete syllabus I am uploading the file here. 
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