https://wiki.devclub.in/index.php?action=history&feed=atom&title=MTL122 2026-04-09T06:03:24Z Revision history for this page on the wiki MediaWiki 1.45.1 https://wiki.devclub.in/index.php?title=MTL122&diff=1590&oldid=prev 2026-03-04T10:14:00Z

<p>Creating course page via bot</p> <p><b>New page</b></p><div>{{Infobox Course<br /> | code = MTL122<br /> | name = Real and Complex Analysis<br /> | credits = 4<br /> | credit_structure = 3-1-0<br /> | pre_requisites = MTL100<br /> | overlaps = MTL503, MTL506<br /> }}<br /> <br /> == MTL122 : Real and Complex Analysis ==<br /> Metric spaces: Definition and examples. Open, closed and bounded sets. Interior, closure and boundary. Convergence and completeness. Continuity and uniform continuity. Connectedness, compactness and separability. Heine-Borel theorem. Pointwise and uniform convergence of real-valued functions. Equicontinuity. Ascoli-Arzela theorem. Limits, continuity and differentiability of functions of a complex variable. Analytic functions, the Cauchy-Riemann equations. Definition of contour integrals, Cauchy&#039;s integral formula and derivatives of analytic functions. Morera&#039;s and Liouville&#039;s theorems. Maximum modulus principle. Taylor and Laurent series. Isolated singular points and residues. Cauchy&#039;s residue theorem and applications.</div>

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