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- Syllabus for PU @msc:syllabus
- amme consists of two parts namely Part-I and Part II. The regulation, Syllabi and Courses of Reading for the M.Sc. (Mathematics) Part-I and Part-II (Regular Scheme) are given below. <callout type=... nts as is the case with other M.Sc. subjects. * ii. There are five papers in Part-I and six papers in Part-II. Each paper carries 100 marks. * iii. There is
- Syllabus for UoS (Private only) @msc:syllabus
- ourses of Part-I are compulsory. However, in Part-II three courses are compulsory and the students wil... l be five papers in Part-I and six papers in Part-II. Each paper shall carry 100 marks. - There shal... a Viva Voce Examination at the end of M.Sc. Part-II carrying 100 marks. The Viva Voce Examination sha... | | 1 |Paper I: Real Analysis | 100 | | 2 |Paper II: Algebra (Group Theory and Linear Algebra) | 100
- Chapter 03 - Limits and Continuity @msc:real_analysis_notes_by_syed_gul_shah
- $(X,{d_x})$ and $(Y,{d_y})$ be two metric spaces (ii) $E\subset X$ (iii) $f:E\to Y$ i.e. //f// maps //E// into //X// (iv) //p// is the limit point of //E/... * Theorem: Let (i) //X, Y, Z// be metric spaces (ii) $E\subset X$ (iii) $f:E\to Y$, $g:f(E)\to Z$ and $h:E\to Z$ defined by $h(x)=g\left(f(x)\right)$. If
- Chapter 02 - Sequence and Series @msc:real_analysis_notes_by_syed_gul_shah
- ft\{a{s_n}+b{t_n}\right\}$ converges to $as+bt$. (ii) $\left\{{s_n}{t_n}\right\}$ converges to st. (iii) $\left\{\frac{{{s_n}}}{{{t_n}}} \right\}$ converg... ly increasing then it converges to its supremum. (ii) If $\{s_n\}$ is monotonically decreasing then it
- Chapter 01 - Real Number System @msc:real_analysis_notes_by_syed_gul_shah
- \underline x^2\|=\underline x\cdot \underline x$ (ii) $\|\underline x\cdot \underline y\|=\|\underline