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university of central punjab bcs |
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Re: university of central punjab bcs
As you want here I am providing here University of Central Punjab B.Sc. Computer Science (BCS) program syllabus on your demand: Section A The language of sets and functions - countable and uncountable sets. Real numbers - least upper bounds and greatest lower bounds. Sequences:- limit points of a sequence, convergent sequences; bounded and monotone sequences, the limit superior and limit inferior of a sequence. Cauchy sequences and the completeness of R. Infinite Series of non-negative terms:-convergence and divergence of series, absolute and conditional convergence. Various tests for convergence of series. Connection between infinite series and decimal expansions, binary expansions of real numbers. Section-B Alternating series:- Leibnitz’s theorem, absolute and conditional convergence. Series of arbitrary terms: convergence, divergence and oscillation. Abel’s and Dirichlet’s tests. Calculus of a single variable: Continuity; attainment of supremum and infimum of a continuous function on a closed bounded interval, uniform continuity. Differentiability of functions. Rolle's theorem and mean value theorems. Higher derivatives, maxima and minima.Taylor's theorem - various forms of remainder, infinite Taylor expansions. University of Central Punjab B.Sc. Computer Science (BCS) program syllabus |
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