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Following notes by Mr. Umer Asghar are available:

Notes of Number Theory by Umer Asghar

Exercise 9.2 (BSc Mathematical Method)

Exercise 9.3 (BSc Mathematical Method)

Exercise 9.4 (BSc Mathematical Method)

Exercise 10.1 (BSc Mathematical Method)

Exercise 10.2 (BSc Mathematical Method)

Exercise 10.4 (BSc Mathematical Method)

Laplace Transformation, Ex 11.1 (BSc Mathematical Method)

Inverse Laplace Transformation, Ex 11.2

We are very thankful to him for sharing these notes on mathcity.org

Notes of Number Theory by Umer Asghar

Exercise 9.2 (BSc Mathematical Method)

Exercise 9.3 (BSc Mathematical Method)

Exercise 9.4 (BSc Mathematical Method)

Exercise 10.1 (BSc Mathematical Method)

Exercise 10.2 (BSc Mathematical Method)

Exercise 10.4 (BSc Mathematical Method)

Laplace Transformation, Ex 11.1 (BSc Mathematical Method)

Inverse Laplace Transformation, Ex 11.2

We are very thankful to him for sharing these notes on mathcity.org

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In this one PDF, MCQs of all chapters of FSc Part1 are given. There are seven chapters. Answers of MCQs is starting from page 71.

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Galileo Galilei was born 451 years ago on 15th February 1564. He formulated the basic law of falling bodies, which he verified by careful measurements. He constructed a telescope with which he studied lunar craters, and discovered four moons revolving around Jupiter.

Find out more at:

http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Galileo.html

Find out more at:

http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Galileo.html

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Brook Taylor died 283 years ago on 29th December 1731. He added to mathematics a new branch now called the 'calculus of finite differences', invented integration by parts, and discovered the celebrated formula known as Taylor's expansion.

Find out more at:

http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Taylor.html

Find out more at:

http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Taylor.html

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Handwritten notes of Theory of Relativity & Analytic Dynamics

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Bernard Bolzano was born 233 years ago on 5th October 1781. He successfully freed calculus from the concept of the infinitesimal. He also gave examples of 1-1 correspondences between the elements of an infinite set and the elements of a proper subset.

Find out more at:

http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Bolzano.html

Find out more at:

http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Bolzano.html

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Sadi Carnot was born 218 years ago on 1st June 1796. He is best known for his theory of thermodynamics. Do you remember about the famous Carnot heat engine?

Find out more at:

http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Carnot_Sadi.html

Find out more at:

http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Carnot_Sadi.html

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Solution of many exercises has been added. :-)

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In mathematics the art of proposing a question must be held of higher value than solving it. ---Georg Cantor

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Notes of Chapter 10: HIgher Order Differential Equations of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin has been added.

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