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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. January 26, 2021 CA Harshita Raichandani 0 Comments bankpo, byjus, currentaffairs, dailycurrentaffairs, generalknowledge, governmentjobs, news for goverenment exams, the hindu, the hindu free newspaper, the hindu new analysis, upscprelims syllabus of IAS The History syllabus for UPSC focuses on the candidates’ ability to understand the techniques used to study history and their knowledge of chronological events. For details on similar optional subjects syllabus, check the linked article. (7) Mechanics and Fluid Dynamics: Generalized coordinates; D’ Alembert’s principle and Lagrange’s equations; Hamilton equations; Moment of inertia; Motion of rigid bodies in two dimensions. (6) Vector Analysis: Scalar and vector fields, differentiation of vector field of a scalar variable; gradient, divergence and curl in cartesian and cylindrical coordinates; higher order derivatives; vector identities and vector equations. Also, check the linked articles related to IAS Maths Optional in the table below: Strategy for IAS Mathematics Optional by UPSC Topper Utsav Kaushal: IAS Mathematics Optional Exam Preparation : UPSC Mains Syllabus: 2 Comments. The output of each test and the analysis reports are stored to enable the students to compare the progress over time. (5) Partial differential equations: Family of surfaces in three dimensions and formulation of partial differential equations; solution of quasilinear partial differential equations of the first order, Cauchy’s method of characteristics; Linear partial differential equations of the second order with constant coefficients, canonical form; equation of a vibrating string, heat equation, Laplace equation and their solutions. BYJU’S IAS Mains Test Series – 2021. I have been part of Byju's tablet+class course for 2015 CSE here in Bangalore ... cost 75k for weekend classes n the tablet. (2) Real Analysis: Real number system as an ordered field with least upper bound property; sequences, limit of a sequence, Cauchy sequence, completeness of real line; series and its convergence, absolute and conditional convergence of series of real and complex terms, rearrangement of series. Numerical integration: Trapezoidal rule, Simpson’s rules, Gaussian quadrature formula. BYJU’S IAS - Ace the Civil Services Exam 2021 with UPSC video lectures, notes, current affairs and complete syllabus coverage from India’s leading IAS trainers. 35,000.00 Sale. 82,500.00 Sale. Application to geometry: curves in space, curvature and torsion; Serret-Frenet’s formulae. 135,000.00 Sale price Rs. Check the link for Books On Mathematics Optional for IAS. The syllabus of Civil Services prelims is a shortened version of IAS mains syllabus, except the portion of Ethics paper (GS Paper-IV). The syllabus of the Civil Services Exam for Tamil includes the history of the language, its literary history, recent trends in the study of the language and the cultural heritage of the people. The IAS mains syllabus is comprehensive and the questions asked in the CSE require not only a certain depth of understanding but also the ability to present the answers in a coherent manner. 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