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10 results for Books: Khanna M. L. Objective Mathematics for JEE Main & Advanced (2 Volumes). by M.L. IIT mathematics by M. L. Khanna & J. N. Sharma. Download FREE PDF Mathematics Ebooks for IIT JEE Main and JEE Advance and All other Engineering exams. objective mathematics by ciulamuhabal.ga (Paid). IIT MATHEMATICS BY ML KHANNA CONTAINS USEFUL AND DETAILED CONCEPTS OF EVERY CHAPTER COVERED IN 11th AND 12th (CBSE).
Riemann's definition of definite integrals; Indefinite integrals; Infinite and improper integrals; Double and triple integrals evaluation techniques only ; Areas, surface and volumes. Second and higher order linear equations with constant coefficients, complementary function, particular integral and general solution.
Second order linear equations with variable coefficients, Euler-Cauchy equation; Determination of complete solution when one solution is known using method of variation of parameters.
Laplace and Inverse Laplace transforms and their properties; Laplace transforms of elementary functions.
Application to initial value problems for 2nd order linear equations with constant coefficients. Equilibrium of a system of particles; Work and potential energy, friction; common catenary; Principle of virtual work; Stability of equilibrium, equilibrium of forces in three dimensions. Rings, subrings and ideals, homomorphisms of rings; Integral domains, principal ideal domains, Euclidean domains and unique factorization domains; Fields, quotient fields.
Continuity and uniform continuity of functions, properties of continuous functions on compact sets. Riemann integral, improper integrals; Fundamental theorems of integral calculus. Uniform convergence, continuity, differentiability and integrability for sequences and series of functions; Partial derivatives of functions of several two or three variables, maxima and minima.
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