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Short Term Preparation FSc/ICS 1 @fsc-part1-ptb
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are also given. **Sample:** - $\sqrt{2}$ is a number - Rational - Irrational - Prime -
MCQs with Answers (FSc/ICS Part 1) @fsc:fsc_part_1_mcqs
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\neq 0$ * (C) $a=b=0$ * (D) $b=$ any real number * An open sentence formed by using a sign of '=... rem </col> <col sm="6"> * An arrangement of the number according to some definite rule is called * (... \neq 0$ * (C) $a=b=0$ * (D) $b=$ any real number * $n!=n(n-1)(n-2)...3\cdot 2\cdot 1$ defined o... positive integer * (B) integer * (C) real number * (D) whole number * If the angle of rotat
Important Questions: HSSC-I @fsc-part1-ptb
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di. * [[fsc-part1-ptb:important-questions:ch01-number-systems]] * [[fsc-part1-ptb:important-question
MathCraft
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] | ^ Price (only for PDF or Word to LaTeX) ^^ ^ Number of Pages ^ Price per Page ^ Launch Discount Price... ils]] | ^ Price (only for PDF to Word file) ^^ ^ Number of Pages ^ Price per Page ^ Launch Discount Price... xtbox "Your Name" email "Your E-Mail Address" @@ number "Cell No." yesno "May we contact you via Wha
Question 2 & 3, Exercise 1.1 @math-11-kpk:sol:unit01
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uestion 2 & 3 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for G... n} GOOD =====Question 3(i)===== Add the complex numbers $3\left( 1+2i \right),-2\left( 1-3i \right)$. ==... align} =====Question 3(ii)===== Add the complex numbers $\dfrac{1}{2}-\dfrac{2}{3}i,\dfrac{1}{4}-\dfrac{... ign} =====Question 3(iii)===== Add the complex numbers $\left( \sqrt{2},1 \right),\left( 1,\sqrt{2} \ri
DokuWiki @wiki
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ly useful in the enterprise context and the large number of [[doku>plugins]] contributed by its vibrant co
Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib @fsc-part1-ptb
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for his valuable contribution. =====Chapter 01: Number System===== ====Rational Number==== A number which can be expressed in the form \( \dfrac{p}{q} \), where \( p, q \in \mathbb{Z} \) and \( q \neq 0 \), is termed as a rational number. ===Example==== \( \dfrac{3}{4} \), \( \dfrac{7}{
Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
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ptb:definitions-aurang-zaib]] ===== Chapter 01: Number system ===== * **Rational number:** A number which can be written in the form of $\frac{p}{q}$, where $p,q \in \mathbb{Z}$, $q\neq 0$, is called a rational number * **Irrational number:** A real number which c
University of Sargodha, Sargodha (Old Papers) @papers:old_papers_for_msc_mathematics
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r=desc}} <HTML> </center> </HTML> ==== Option V: Number Theory ==== <HTML> <center> </HTML> {{filelist>files/msc/papers/Sargodha_University/Option_v_Number_Theory/*.*&style=table&direct=1&tableheader=1&tab
Mathematics CUI: LaTeX Resources
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^2 \theta =1 $$ </code> If you wish that equation number appear automatically to this equation, then write
MathCraft: PDF to LaTeX file: Sample-01 @mathcraft
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{aligned} $$ where $x$ and $y$ are positive real numbers $x \neq y, r$ and $s$ are any real numbers but $0.$ These means, known in literature, are called Stolar
Question 1, Exercise 1.1 @math-11-kpk:sol:unit01
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of Question 1 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for G
Mathematician of the day
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fields in both mathematics and physics including number theory, analysis, differential geometry, geodesy,... nstantly by spotting that the sum was 50 pairs of numbers each pair summing to 101. Quatation by Carl Fri... s: //Mathematics is the queen of the sciences and number theory is the queen of mathematics.// Facebook p
Question 3 & 4 Exercise 4.3 @math-11-kpk:sol:unit04
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kistan. =====Question 3===== Find sum of all the numbers divisible by $5$ from $25$ to $350$. GOOD ====Solution==== The numbers divisible by $5$ from $25$ tò $350$ are\\ $$25,3... end{align} =====Question 4===== The sum of three numbers in an arithmetic sequence is $36$ and the sum of... d them. ====Solution==== Let us suppose the three numbers are $a-d, a, a+d$\\. then by first condition th
Question 1 Exercise 4.3 @math-11-kpk:sol:unit04
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==== Find indicated term and sum of the indicated number of terms in arithmetic sequence: $9,7,5,3, \ldots... ==== Find indicated term and sum of the indicated number of terms in case of arithmetic sequence: $3, \dfr
Question 11 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 5 and 6 Exercise 4.2 @math-11-kpk:sol:unit04
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Formatting Syntax @wiki
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Question 3 and 4 Exercise 4.2 @math-11-kpk:sol:unit04
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Question 7 & 8 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 2 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 1 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 5 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 14 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 11 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 9 & 10 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 5 & 6 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 7 & 8 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 3 & 4 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 1 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 10 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 8 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 5 and 6 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 3 and 4 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 7 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 6 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 5 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 2 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 1 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 9 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 7 and 8 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 5 and 6 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 13 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 12 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 10 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 11 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 9 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 7 and 8 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 3 and 4 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 5 and 6 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 14 and 15 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 2 & 3 Exercise 5.1 @math-11-kpk:sol:unit05
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Unit 01: Complex Numbers (Solutions) @math-11-kpk:sol
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ADS/BSc
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Question 7 & 8 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 15 & 16 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 10 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 4 & 5 Exercise 4.4 @math-11-kpk:sol:unit04
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Question 13 & 14 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 9 & 10 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 5 & 6 Exercise 4.3 @math-11-kpk:sol:unit04
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Question 3 & 4, Exercise 3.2 @math-11-kpk:sol:unit03
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Notes of Mathematics
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FSc Part 1 (KPK Boards) @fsc
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Question 1, Review Exercise 1 @math-11-kpk:sol:unit01
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Question 6, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 5, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 3 & 4, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 2, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 9, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 1, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 8, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 7, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 6, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 5, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 3 & 4, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 2, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 1, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 11, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 9 & 10, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 8, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 7, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 6, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 5, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 4, Exercise 1.1 @math-11-kpk:sol:unit01
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Multiple Choice Questions (MCQs) @math-11-kpk
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Definitions: FSc Part1 KPK @math-11-kpk
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Question 3 & 4, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 2, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 1, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 9, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 8, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 7, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 6, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 5, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 3 & 4, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 2, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 1, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 11, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 9 & 10, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 8, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 7, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 6, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 5, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 4, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 2 & 3, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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MTH103: Exploring Quantitative Skills @atiq
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Question 1, Review Exercise 1 @fsc-part1-kpk:sol:unit01
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Unit 1: Complex Numbers (Solutions) @fsc-part1-kpk:sol
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Question 6, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 5, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Khuram Ali Khan
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Question 1, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Multiple Choice Questions (MCQs) @fsc-part1-kpk
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Definitions: FSc Part1 KPK @fsc-part1-kpk
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Metric Spaces (Notes) @notes
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Number Theory: Handwritten Notes @notes
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Topology: Handwritten Notes @notes
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General Topology by Azhar Hussain @notes
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Complex Analysis (Easy Notes of Complex Analysis) @notes
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Complex Analysis by M Usman Hamid @notes
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Complex Analysis (Quick Review) @notes
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Complex Analysis (Notes) by Ms. Iqra Liaqat @notes
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Computing Tools for Mathematics by Asif Arshad @notes
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Algebraic Number Theory Notes by Anwar Khan @notes
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Number Theory Notes by Anwar Khan @notes
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Number Theory by Dr Muhammad Umer Shuaib @notes
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Notes for Numerical Methods by M Usman Hamid @notes
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Notes of Mathematical Method @bsc
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MTH322: Real Analysis II (Spring 2023) @atiq
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MTH321: Real Analysis I (Spring 2023) @atiq
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Unit 01: Functions and Limits @fsc:fsc_part_2_solutions
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Chapter 01: Number System @fsc:fsc_part_1_solutions
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MATH-300: Basic Mathematics for Chemist @atiq
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MTH321: Real Analysis I (Fall 2022) @atiq
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Measure Theory Notes by Anwar Khan @notes
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Quotes for the May @quote-of-the-day
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Quotes for the April @quote-of-the-day
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Real Analysis Notes by Prof Syed Gul Shah @notes
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Handwritten Notes of Real Analysis by Asim Marwat @notes
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Advance Analysis by Ms. Iqra Liaqat @notes
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Advanced Analysis: Handwritten Notes @notes
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Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01
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Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
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Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
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Mathematics 9 (Science Group) @matric
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Quotes for the February @quote-of-the-day
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Dr. Muhammad Ahsan Binyamin
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Real Analysis Handwritten Notes by Kaushef Salamat @notes
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MTH321: Real Analysis I (Fall 2021) @atiq
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MTH211: Discrete Mathematics (Spring 2022) @atiq
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PPSC Paper 2021 (Lecturer in Mathematics) @ppsc
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Notes of Calculus with Analytic Geometry @bsc
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Ihsan Danish @people
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MTH322: Real Analysis II (Spring 2022) @atiq
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Number Theory by Prof. Asghar Ali @bsc
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PPSC Paper 2011 (Lecturer in Mathematics) @ppsc
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PPSC Paper 2015 (Lecturer in Mathematics) @ppsc
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MTH322: Real Analysis II (Fall 2021) @atiq
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MTH211: Discrete Mathematics (Fall 2020) @atiq
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Number Theory by Ms. Iqra Liaqat @msc:notes
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PPSC Mock Interview Lecturer Mathematics @ppsc
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Preparation Guide @msc:syllabus:uos
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Exercise 2.6 (Solutions) @matric:9th_science:unit_02
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Exercise 2.5 (Solutions) @matric:9th_science:unit_02
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Exercise 2.2 (Solutions) @matric:9th_science:unit_02
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Exercise 2.1 (Solutions) @matric:9th_science:unit_02
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Pure Mathematics @bsc:paper_pattern:sargodha_university
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Syllabus for PU @msc:syllabus
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Syllabus for UoS (Private only) @msc:syllabus
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Targets @msc:notes
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MCQs: Ch 04 Quadratic Equations @fsc-part1-ptb:mcq-bank
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MCQs: Ch 01 Number Systems @fsc-part1-ptb:mcq-bank
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Chapter 01: Complex Numbers @fsc:kpk_fsc_part_1
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MCQs or Short Questions @atiq:sp15-mth321
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What is Mathematics? @atiq:math-608
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Umer Asghar @people
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Muzammil Tanveer @people
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Multiple Choice Questions (MCQs) @fsc-part1-ptb
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FSc Part 2 (KPK Boards) @fsc
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Its about square root @dyk
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What is the value of pi? @dyk
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Are the functions are same? @dyk
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Number Theory by Prof. M. Tanveer @bsc
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Notes of Number Theory by Umer Asghar @bsc
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MTH321: Real Analysis I (Spring 2020) @atiq
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MTH633: Advanced Convex Analysis (Spring 2019) @atiq
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MTH211: Discrete Mathematics (Spring 2020) @atiq
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MTH322: Real Analysis II (Spring 2019) @atiq
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MTH322: Real Analysis II (Spring 2017) @atiq
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MTH321: Real Analysis 1 (Spring 2015) @atiq
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MTH321: Real Analysis 1 @atiq
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MATH-505: Complex Analysis @atiq
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MATH-305: Real Analysis-I @atiq
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MATH-301: Complex Analysis @atiq
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MATH 103: Number Theory @atiq
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MTH322: Real Analysis II (Fall 2020) @atiq
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MTH211: Discrete Mathematics (Fall 2020) @atiq
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MTH322: Real Analysis II (Fall 2019) @atiq
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MTH321: Real Analysis I (Fall 2019) @atiq
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MTH322: Real Analysis II (Fall 2018) @atiq
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MTH321: Real Analysis I (Fall 2018) @atiq
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MTH322: Real Analysis II (Fall 2017) @atiq
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MTH322: Real Analysis II (Fall 2016) @atiq
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MTH321: Real Analysis I (Fall 2015) @atiq
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MTH321: Real Analysis 1 @atiq
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MATH 102: Calculus II @atiq
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CHEM-501: Basic Mathematics for Chemist @atiq
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