Aug 3, 2021 • 1h 14m • 0 views

In this course, top educators will be conducting Tests for UPSC Mains (Mathematics Optional). The course will consist of 6 sectional tests and 2 full length tests. The course will be taught in English and notes for the same will be provided in English. Mini Test -1: Differential equation of 1st order and 1st degree, Linear differential equation with constant coefficient, Differential equation of 1st order but not 1st degree. Orthogonal trajectory and Variation of the parameter. Mini Test -2: Matrices: Rank of a matrix, System of linear equations, Eigenvalue, and eigenvector, Diagonalizable. Mini Test -3: Linear algebra: Subspace, Basis, and dimension, Linear transformation, Matrix of linear transformation, Linear dependence, and independence. Mini Test -4: Vector Calculus: Gradient, divergence, curl, Greens theorem, Gauss theorem, Stones theorem and Conservative field and line integral. Mini Test -5: Integral calculus: Double integral, Triple integral, Beta and Gamma function, Region bounded by triangle and tetrahedron. Mini Test -6: Differential calculus: Partial differentiation, Asymptote, Function of two variables, Jacobian. Test 7: Full Length Test (Paper 1) Test 8: Full Length Test (Paper 2)