Preparation Guide

This guide is made by Mr. Anwar Khan, PhD. We are very thankful to him for sharing. This guide is helpful to prepare papers for MSc Mathematics (annual system) from University of Sargodha.

• Real Analysis (Notes by Syed Gul Shah)
• Chapter # 08 sequences and series of Mathematical Method by SM Yousaf (solutions are available here).
• Chapter # 09 (only those exercises related to maxima and minima of function $z= f(x,y)$ ) of Calculus and analytic Geometry by SM Yousaf (solutions are available here).

• Groups (Handwritten notes)
• Ring (Notes)
• Vector Spaces (Handwritten notes)

Book: For vector space

• Chapter # 4,5,7,9 and 11 of Schaum's Outline of Linear Algebra, 4th Edition.

• Books: Fundamentals of Complex Analysis by Dr. M. Iqbal (Solution of few exercises of the book are available here.)
• Differential Geometry (Notes)

Books:

• Vector and Tensor analysis by Dr. Nawazesh Ali Shah ( Chapter # 4,5,6 and 7 ).
• Mechanics by Khalid Latif Meer ( Chapter # 4, 5,6,7and 9).
• Classical Mechanics by Sankara Rao.

Books:

• Schaums Outline of General Topology.
• Elements of Topology and Functional Analysis by Dr. Abdul Majeed
• topology-handwritten-notes

Compulsory Subjects:

• Advanced Analysis

Books:

• Numerical analysis by Sankara Rao
• Notes of scholar academy for numerical analysis

Books:

• Mathematical Method for Physics by Khalid Latif Meer.
• Mathematical Method for Physics By Laldin Baig.

Optional Subjects:

• Number Theory by Anwar Khan

Books:

• Theory of Groups by Dr Abdul Majeed (from Chapter # 7 to last )

• (Notes of scholar academy for Mathematical statistic)

Note: optional subjects can be chosen other then mentioned above and 100 marks viva will be conducted at the end of part-2 examination from part-1 course.

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