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REAL ANALYSIS (NOTES BY PROF. SYED GUL SHAH) Real Analysis (Notes by Prof. Syed Gul Shah) * Notes by Prof. Syed Gul Shah (Ex Chairman, University of Sargodha, Sargodha, Pakistan.). ARW Chapter 01 - Real Number System Download PDF (152KB) ARW Chapter 02 - Sequence and Series Download PDF (234KB) ARW Chapter 03 - Limits and Continuity Download PDF (336KB) ARW Chapter 04 - Differentiation Download PDF (142KB) ARW UNIT 06: CONIC SECTION Notes (Solutions) of Unit 06: Conic Section, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. MEASURE THEORY NOTES BY ANWAR KHAN Handwritten notes of measure theory by Anwar Khan.These notes are good to cover measure theory paper at master level. We are very thankful to Anwar Khan for sending these notes.EXERCISE 1.2
Exercise 1.2 - Chapter 01 Mathematical Methods by S.M. Yusuf, A. Majeed and M. Amin ILMI KITAB KHANA, LAHORE.HOME
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HOME - MATHCITY.ORGMATRICFSC SECTIONBSC SECTIONMSC SECTIONOTHER LINKSFSC PART 1 (KPK BOARDS) Home Welcome to MathCity.org. Please browse the website by using navigation bar or search the website. Tag Cloud ---: MathCity.org Books Notes fsc-part1-ptb FSc Part 1 (Mathematics): PTB fsc-part2-ptb FSc Part 2 (Mathematics): PTB kpk_fsc_part_1 FSc Part 1 (KPK Boards) kpk_fsc_part_2 FSc Part 2 (KPK Boards) Notes of Calculus with Analytic Geometry Notes of Calculus with Analytic FSC PART 2 SOLUTIONS FSc Part 2 Solutions Notes (Solutions) of Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are seven units in this book and we have work hard to make easy and suitable solutions for students and teachers so that it help them learn things quickly and easily. FSC PART 1 MATHEMATICS NOTES/SOLUTIONS FSc Part 1 Mathematics Notes/Solutions Notes (Solutions) of Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB) Lahore. There are fourteen chapters in this book and we have work hard to make easy and suitable solution for students and teachers so that it help them learn things quickly and easily. MATHEMATICS 9 (SCIENCE GROUP) Mathematics 9 (Science Group) Mathematics 9 is written by Dr. Karamat H. Dar and Prof. Irfan-ul-Haq and this book is published by Carvan Book House, Lahore, Pakistan. This book consist of 302 pages and there are 17 units. Notes of Unit 1 and 3 are provided by Engr. Moin Latif. NOTES OF MATHEMATICAL METHOD Notes of Mathematical Method Notes of the Mathematical Method written by by S.M. Yusuf, A. Majeed and M. Amin and published by Ilmi Kitab Khana, Lahore. This is an old and good book of mathematical method. The notes given here are provided by awesome peoples, who dare to help others. Some of the notes are send by the authors of these notes and other CHAPTER 08: PDF VIEWER Chapter 08: PDF Viewer Notes of the Chapter 08: Analytic Geometry of Three Dimensions of Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. There are thirteen exercises in this chapter. MEASURE THEORY NOTES BY ANWAR KHAN Mathematical Statistics I by Muzammil Tanveer. Mathematical Statistics II by Sir Haidar Ali. Measure Theory by M Usman Hamid & Saima Akram. Measure Theory Notes by Anwar Khan. Mechanics (Easy Notes of Mechanics) Mechanics by Sir Nouman Siddique. Mechanics I (Statics) by CHAPTER 14: SOLUTIONS OF TRIGONOMETRIC EQUATION Notes (Solutions) of Chapter 14: Solutions of Trigonometric Equation, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. UNIT 06: CONIC SECTION Notes (Solutions) of Unit 06: Conic Section, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. MATHCITY.ORG EXERCISE 6.4 (SOLUTIONS) Title: Microsoft Word - 6_4 Author: www.mathcity.org Subject: Exercise 6.4 (Solutions) F.Sc Part 1 Keywords: Solutions, Exercise 6.4, TextBook of Algebra and
HOME - MATHCITY.ORGMATRICFSC SECTIONBSC SECTIONMSC SECTIONOTHER LINKSFSC PART 1 (KPK BOARDS) Home Welcome to MathCity.org. Please browse the website by using navigation bar or search the website. Tag Cloud ---: MathCity.org Books Notes fsc-part1-ptb FSc Part 1 (Mathematics): PTB fsc-part2-ptb FSc Part 2 (Mathematics): PTB kpk_fsc_part_1 FSc Part 1 (KPK Boards) kpk_fsc_part_2 FSc Part 2 (KPK Boards) Notes of Calculus with Analytic Geometry Notes of Calculus with Analytic FSC PART 2 SOLUTIONS FSc Part 2 Solutions Notes (Solutions) of Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are seven units in this book and we have work hard to make easy and suitable solutions for students and teachers so that it help them learn things quickly and easily. FSC PART 1 MATHEMATICS NOTES/SOLUTIONS FSc Part 1 Mathematics Notes/Solutions Notes (Solutions) of Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB) Lahore. There are fourteen chapters in this book and we have work hard to make easy and suitable solution for students and teachers so that it help them learn things quickly and easily. MATHEMATICS 9 (SCIENCE GROUP) Mathematics 9 (Science Group) Mathematics 9 is written by Dr. Karamat H. Dar and Prof. Irfan-ul-Haq and this book is published by Carvan Book House, Lahore, Pakistan. This book consist of 302 pages and there are 17 units. Notes of Unit 1 and 3 are provided by Engr. Moin Latif. NOTES OF MATHEMATICAL METHOD Notes of Mathematical Method Notes of the Mathematical Method written by by S.M. Yusuf, A. Majeed and M. Amin and published by Ilmi Kitab Khana, Lahore. This is an old and good book of mathematical method. The notes given here are provided by awesome peoples, who dare to help others. Some of the notes are send by the authors of these notes and other CHAPTER 08: PDF VIEWER Chapter 08: PDF Viewer Notes of the Chapter 08: Analytic Geometry of Three Dimensions of Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. There are thirteen exercises in this chapter. MEASURE THEORY NOTES BY ANWAR KHAN Mathematical Statistics I by Muzammil Tanveer. Mathematical Statistics II by Sir Haidar Ali. Measure Theory by M Usman Hamid & Saima Akram. Measure Theory Notes by Anwar Khan. Mechanics (Easy Notes of Mechanics) Mechanics by Sir Nouman Siddique. Mechanics I (Statics) by CHAPTER 14: SOLUTIONS OF TRIGONOMETRIC EQUATION Notes (Solutions) of Chapter 14: Solutions of Trigonometric Equation, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. UNIT 06: CONIC SECTION Notes (Solutions) of Unit 06: Conic Section, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. MATHCITY.ORG EXERCISE 6.4 (SOLUTIONS) Title: Microsoft Word - 6_4 Author: www.mathcity.org Subject: Exercise 6.4 (Solutions) F.Sc Part 1 Keywords: Solutions, Exercise 6.4, TextBook of Algebra and
MATHEMATICS 9 (SCIENCE GROUP) Mathematics 9 (Science Group) Mathematics 9 is written by Dr. Karamat H. Dar and Prof. Irfan-ul-Haq and this book is published by Carvan Book House, Lahore, Pakistan. This book consist of 302 pages and there are 17 units. Notes of Unit 1 and 3 are provided by Engr. Moin Latif. NOTES - MATHCITY.ORG Notes Fluid Dynamics I by Muhammad Usman Hamid Latest addition: Fluid Dynamics is the study of fluids in motion. It used to analyze flow of air over an aeroplane wing or over a surface of automobile We casually look around most things seem to be solids but when one thinks of the oceans, the atmosphere and on out into space it becomes rather obvious that a large portion of the earth MATHEMATICS 10 (SCIENCE GROUP) Mathematics 10 (Science Group) The notes/solutions, definitions, MCQs and important question for Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan are available on this page. Whenever we found the notes we will update this page and will upload notes here. If you wish to contribute and send us the notes please NOTES OF CALCULUS WITH ANALYTIC GEOMETRY Notes of Calculus with Analytic Geometry Calculus with Analytic Geometry by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore-Pakistan is one of the books studied widely in Bachelor and undergraduate classes. There are total of ten chapters. We try our best to get the notes and solutions of this book written by different authors so that teachers and students can DIFFERENTIAL GEOMETRY: HANDWRITTEN NOTES Differential Geometry: Handwritten notes. by. Prof. (Rtd) Muhammad Saleem. Department of Mathematics, University of Sargodha, Sargodha. Keywords. Curves with torsion: Curve, space curve, equation of tangent, normal plane, principal normal curvature, deriva- tion of curvature, plane of the curvature or osculating plane, principalnormal or binormal,
MEASURE THEORY NOTES BY ANWAR KHAN Mathematical Statistics I by Muzammil Tanveer. Mathematical Statistics II by Sir Haidar Ali. Measure Theory by M Usman Hamid & Saima Akram. Measure Theory Notes by Anwar Khan. Mechanics (Easy Notes of Mechanics) Mechanics by Sir Nouman Siddique. Mechanics I (Statics) by CHAPTER 04: SYSTEM OF LINEAR EQUATIONS Chapter 04: System of Linear Equations Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. The difficulty level of this chapter is low. Most of the questions involve calculations. This chapter is wide range of applications in Linear Algebra and Operations Research. REAL ANALYSIS (NOTES BY PROF. SYED GUL SHAH) Real Analysis (Notes by Prof. Syed Gul Shah) * Notes by Prof. Syed Gul Shah (Ex Chairman, University of Sargodha, Sargodha, Pakistan.). ARW Chapter 01 - Real Number System Download PDF (152KB) ARW Chapter 02 - Sequence and Series Download PDF (234KB) ARW Chapter 03 - Limits and Continuity Download PDF (336KB) ARW Chapter 04 - Differentiation Download PDF (142KB) ARW CHAPTER 10: MOTION OF A PROJECTILE Chapter 10: Motion of a Projectile Notes of Chapter 10: Motion of a Projectile: Introduction to Mechanics by Q. K. Ghori published by West Pak Publishing Company (Pvt) Ltd. These notes are written by Prof. Shariq Mehtab Syed * Trajectory of a ProjectileEXERCISE 1.2
Exercise 1.2 - Chapter 01 Mathematical Methods by S.M. Yusuf, A. Majeed and M. Amin ILMI KITAB KHANA, LAHORE. HOME - MATHCITY.ORGMATRICFSC SECTIONBSC SECTIONMSC SECTIONOTHER LINKSFSC PART 1 (KPK BOARDS) Home Welcome to MathCity.org. Please browse the website by using navigation bar or search the website. Tag Cloud ---: MathCity.org Books Notes fsc-part1-ptb FSc Part 1 (Mathematics): PTB fsc-part2-ptb FSc Part 2 (Mathematics): PTB kpk_fsc_part_1 FSc Part 1 (KPK Boards) kpk_fsc_part_2 FSc Part 2 (KPK Boards) Notes of Calculus with Analytic Geometry Notes of Calculus with Analytic FSC PART 2 SOLUTIONS FSc Part 2 Solutions Notes (Solutions) of Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are seven units in this book and we have work hard to make easy and suitable solutions for students and teachers so that it help them learn things quickly and easily. FSC PART 1 MATHEMATICS NOTES/SOLUTIONS FSc Part 1 Mathematics Notes/Solutions Notes (Solutions) of Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB) Lahore. There are fourteen chapters in this book and we have work hard to make easy and suitable solution for students and teachers so that it help them learn things quickly and easily. NOTES OF MATHEMATICAL METHOD Notes of Mathematical Method Notes of the Mathematical Method written by by S.M. Yusuf, A. Majeed and M. Amin and published by Ilmi Kitab Khana, Lahore. This is an old and good book of mathematical method. The notes given here are provided by awesome peoples, who dare to help others. Some of the notes are send by the authors of these notes and other CHAPTER 08: PDF VIEWER Chapter 08: PDF Viewer Notes of the Chapter 08: Analytic Geometry of Three Dimensions of Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. There are thirteen exercises in this chapter. CHAPTER 14: SOLUTIONS OF TRIGONOMETRIC EQUATION Notes (Solutions) of Chapter 14: Solutions of Trigonometric Equation, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. MEASURE THEORY NOTES BY ANWAR KHAN Handwritten notes of measure theory by Anwar Khan.These notes are good to cover measure theory paper at master level. We are very thankful to Anwar Khan for sending these notes. FUNCTION OF SEVERAL VARIABLES 2 Chap 5 – Function of several variables If limit of a function is equal to actual value of function then f is said to be continuous at the point (xy00,) 0 0 lim(,)(00,)xx yy fxyfxy fi fi = If f is continuous at every point of D, then f is said to be continuous on D. v Theorem Let f(xy,) & g(xy,) be defined in a domain D and suppose that 0 0 lim(,) 1 xx yy fxyu CHAPTER 10: HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS Chapter 10: Higher Order Linear Differential Equations Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Contents and summary * Higher order linear differential equationsEXERCISE 1.2
Exercise 1.2 - Chapter 01 Mathematical Methods by S.M. Yusuf, A. Majeed and M. Amin ILMI KITAB KHANA, LAHORE. HOME - MATHCITY.ORGMATRICFSC SECTIONBSC SECTIONMSC SECTIONOTHER LINKSFSC PART 1 (KPK BOARDS) Home Welcome to MathCity.org. Please browse the website by using navigation bar or search the website. Tag Cloud ---: MathCity.org Books Notes fsc-part1-ptb FSc Part 1 (Mathematics): PTB fsc-part2-ptb FSc Part 2 (Mathematics): PTB kpk_fsc_part_1 FSc Part 1 (KPK Boards) kpk_fsc_part_2 FSc Part 2 (KPK Boards) Notes of Calculus with Analytic Geometry Notes of Calculus with Analytic FSC PART 2 SOLUTIONS FSc Part 2 Solutions Notes (Solutions) of Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are seven units in this book and we have work hard to make easy and suitable solutions for students and teachers so that it help them learn things quickly and easily. FSC PART 1 MATHEMATICS NOTES/SOLUTIONS FSc Part 1 Mathematics Notes/Solutions Notes (Solutions) of Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB) Lahore. There are fourteen chapters in this book and we have work hard to make easy and suitable solution for students and teachers so that it help them learn things quickly and easily. NOTES OF MATHEMATICAL METHOD Notes of Mathematical Method Notes of the Mathematical Method written by by S.M. Yusuf, A. Majeed and M. Amin and published by Ilmi Kitab Khana, Lahore. This is an old and good book of mathematical method. The notes given here are provided by awesome peoples, who dare to help others. Some of the notes are send by the authors of these notes and other CHAPTER 08: PDF VIEWER Chapter 08: PDF Viewer Notes of the Chapter 08: Analytic Geometry of Three Dimensions of Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. There are thirteen exercises in this chapter. CHAPTER 14: SOLUTIONS OF TRIGONOMETRIC EQUATION Notes (Solutions) of Chapter 14: Solutions of Trigonometric Equation, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. MEASURE THEORY NOTES BY ANWAR KHAN Handwritten notes of measure theory by Anwar Khan.These notes are good to cover measure theory paper at master level. We are very thankful to Anwar Khan for sending these notes. FUNCTION OF SEVERAL VARIABLES 2 Chap 5 – Function of several variables If limit of a function is equal to actual value of function then f is said to be continuous at the point (xy00,) 0 0 lim(,)(00,)xx yy fxyfxy fi fi = If f is continuous at every point of D, then f is said to be continuous on D. v Theorem Let f(xy,) & g(xy,) be defined in a domain D and suppose that 0 0 lim(,) 1 xx yy fxyu CHAPTER 10: HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS Chapter 10: Higher Order Linear Differential Equations Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Contents and summary * Higher order linear differential equationsEXERCISE 1.2
Exercise 1.2 - Chapter 01 Mathematical Methods by S.M. Yusuf, A. Majeed and M. Amin ILMI KITAB KHANA, LAHORE. NOTES - MATHCITY.ORG Notes Fluid Dynamics I by Muhammad Usman Hamid Latest addition: Fluid Dynamics is the study of fluids in motion. It used to analyze flow of air over an aeroplane wing or over a surface of automobile We casually look around most things seem to be solids but when one thinks of the oceans, the atmosphere and on out into space it becomes rather obvious that a large portion of the earth BSC/ADS - MATHCITY.ORG BSc/ADS One this page we have listed notes/resources widely used in BSc or in Associated Degree of Science (ADS). This includes notes of some famous books and other resources. Notes of Famous Books Notes of Calculus with Analytic Geometry Notes of Calculus with Analytic Geometry Notes of Mathematical Method Notes of Mathematical Method Introduction to Mechanics Introduction MATHEMATICS 10 (SCIENCE GROUP) Mathematics 10 (Science Group) The notes/solutions, definitions, MCQs and important question for Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan are available on this page. Whenever we found the notes we will update this page and will upload notes here. If you wish to contribute and send us the notes please FSC PART 2 (MATHEMATICS): PTB FSc Part 2 (Mathematics): PTB Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Textbook Board (PTB) Lahore, Pakistan. There are total seven (7) units in this book. One this page we have posted Notes (Solutions), MCQs, short question, sample papers and old papers related to this MATHEMATICS 9 (SCIENCE GROUP) Mathematics 9 is written by Dr. Karamat H. Dar and Prof. Irfan-ul-Haq and this book is published by Carvan Book House, Lahore, Pakistan. This book consist of NOTES OF CALCULUS WITH ANALYTIC GEOMETRY Notes of Calculus with Analytic Geometry Calculus with Analytic Geometry by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore-Pakistan is one of the books studied widely in Bachelor and undergraduate classes. There are total of ten chapters. We try our best to get the notes and solutions of this book written by different authors so that teachers and students can VECTOR SPACES (HANDWRITTEN NOTES) Name : Vector Spaces (Handwritten notes)- Lecture Notes : Author(s) Atiq ur Rehman : Pages : 58 pages : Format : PDF (see Software section for PDF Reader : Size : PDF: 1.22MB FUNCTION OF SEVERAL VARIABLES Chap 5 – Function of several variables 5 v Geometrical Interpretation z= f(xy,) represents a surface in space. yy= 0 is a plane.z=(xy, 0) is the curve which arises when yy= 0 cuts the surface z= f(xy,).Thus (xy00,)f x ¶ ¶ denotes the slope of tangent to thecurve z= f(xy,)0 at
MEASURE THEORY NOTES BY ANWAR KHAN Handwritten notes of measure theory by Anwar Khan.These notes are good to cover measure theory paper at master level. We are very thankful to Anwar Khan for sending these notes. CHAPTER 09: FIRST ORDER DIFFERENTIAL EQUATIONS Chapter 09: First Order Differential Equations Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Contents and summary * D.E and their classification * Formation of differential equation MathCity.orgMerging man & maths* Matric
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Chapter 01: Real numbers, limits and continuity*
Unit 02: Real and Complex Numbers*
MCQs/Objective: HSSC-I*
Notes
*
Old papers for MSc Mathematics*
MCQs/Objective: HSSC-II* __ home
* __ Last modified: 4 weeks ago * by Dr. Atiq ur RehmanLog In
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