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31st May 2018, 11:56 AM
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Re: Syllabus of BSC Computer Science Punjab University

Hii sir, I Wants to get the Syllabus of the BSc Computer Science Advanced Calculus of the Punjab University ?
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31st May 2018, 11:56 AM
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Re: Syllabus of BSC Computer Science Punjab University

Panjab University is a public collegiate university located in Chandigarh, India. It originated in 1882, but was established in 1947, making it one of the oldest universities in India.

the Syllabus of the BSc Computer Science Advanced Calculus of the Punjab University


CSM 231: ADVANCED CALCULUS

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 thecompleteness 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:- Leibnitzs theorem, absolute and conditional convergence.
Series of arbitrary terms: convergence, divergence and oscillation. Abels and Dirichlets 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.

Contact Details :
Punjab University
Address: Sector 14, Chandigarh, 160014
Customer service: 1800 180 2065


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