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Venkanna Sir Maths Optional Class Notes in English for IAS Mains and Other Competitive Exam Preparation 2022. Notes Possesses 20 Paperback booklets Plus Previous 2 Years’ Question and Answer. (This Material is Printed Photocopy Study Material Printed with Advanced Printer Photocopy Machine & The front of the study material is actually a Black and white photocopy printed on pink color pages) Following are the booklets that Complete the Notes:- 1.Riemann Integral 2.Book-II 3.Numerical Analysis & Computer-P-II 4.Number Systems and Codes 5.Part1-Computer Programming 6.Second Order Partial Differential Equations with Variable Coefficients 7.Vector Spaces 8.Solutions of System of Linear Equations 9.Book-VII 10.Rings 11. Book-IX 12.Statics 13.Vector Analysis 14.Linear Programming 15.Sphere 16.Groups 17.Mechanics 18.Matrices 19.Functions of Several Variables: Multiple Integrals and their application. 20.Co-ordinate Systems 21.Transportation Problem 22.Previous 2 Years Q & A.