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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.
5S Mathematics - Paper Ė IX
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. Cauchy-Riemann 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. Sub-space of a metric space. Cauchy sequences. Completeness. Cantorís 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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