I am pursuing B.Sc Final year from Sant Gadge Baba Amravati University, now I am looking for syllabus of B.Sc Final year .

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. 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. 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.

Attached Files

SGBAU Syllabus BSc Final.pdf (568.9 KB, 518 views)