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Practice Daily
Language: ENGLISH
Instructors: SuccessClap
Valid Till: 2022-12-01
Daily Practice and Test Programme (DPTP) for
UPSC MATHS 2022
About Course:
Date |
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Topic 1 |
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Topic 2 |
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13-Jan-22 |
ODE |
Formation,Integarting factors |
PDE |
Origin of PDE, Formation, (U,V) method |
14-Jan-22 |
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Problems on IF |
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15-Jan-22 |
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Geometry interpretation, Application of ODE |
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Linear PDE of Order one |
16-Jan-22 |
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Orthogonality
First Order Eqn : Solvable for p, x,y |
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Linear PDE Applications. Problems, Orthogonality |
17-Jan-22 |
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18-Jan-22 |
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First Order Eqn : Claurait, Singular Soln |
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Charpit |
19-Jan-22 |
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LDE constant coefficient |
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20-Jan-22 |
ODE |
PDE |
Standard Forms I,II,III,IV |
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21-Jan-22 |
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Cauchy Euler Eqn |
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Jacobians |
22-Jan-22 |
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Method of Variation of Parameter |
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23-Jan-22 |
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Ordinary Simultaneous Eqns |
PDE |
Homogeneous Linear PDE |
24-Jan-22 |
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Linear Eqn of second Order |
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Euler Cauchy eqns |
25-Jan-22 |
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26-Jan-22 |
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Laplace Eqns |
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27-Jan-22 |
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Canonical Form and Cauchy Strip |
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28-Jan-22 |
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Inverse Laplace |
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29-Jan-22 |
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30-Jan-22 |
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Laplace in Solving ODE |
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30-Jan-22 |
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31-Jan-22 |
ODE |
Solve Previous Year Qns |
PDE |
Solve Previous Problems |
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1-Feb-22 |
Calculus and Real Analysis |
Limits , Continuity |
Calculus and Real Analysis |
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2-Feb-22 |
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Differentiability |
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Sequences |
3-Feb-22 |
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Calculus and Real Analysis |
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4-Feb-22 |
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Mean Value Theorem |
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Series |
5-Feb-22 |
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Indeterminate form Problems |
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6-Feb-22 |
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Uniform Convergence |
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7-Feb-22 |
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Improper Integrals |
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8-Feb-22 |
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Several Variable Functions |
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9-Feb-22 |
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Max/Min One and Two Variable Several, Lagrangian Method |
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10-Feb-22 |
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Differentiation Under Integral Sign, Asymptotes, Definite Integral as Sum |
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11-Feb-22 |
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Rieman Integrals |
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12-Feb-22 |
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Jacobians |
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13-Feb-22 |
Calculus and Real Analysis |
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Calculus and Real Analysis |
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14-Feb-22 |
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Partial Differentiations: Euler, Total Differentiations |
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Length of Arc, Areas, Surfaces, Volumes |
15-Feb-22 |
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16-Feb-22 |
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17-Feb-22 |
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Multiple Integrals |
18-Feb-22 |
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Calculus -Previous Year qns |
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Real Analysis |
19-Feb-22 |
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20-Feb-22 |
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21-Feb-22 |
3D Geometry |
Basics: System of Coordinates Analytic Geometry |
Numerical Analysis
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solution of algebraic and transcendental equations of one variable by bisection, Regula-Falsi and Newton-Raphson methods |
22-Feb-22 |
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solution of system of linear equations by Gaussian elimination and Gauss-Jordan (direct), Gauss-Seidel(iterative) methods |
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23-Feb-22 |
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Straight Lines , Planes |
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Lagrange’s interpolation |
24-Feb-22 |
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Trapezoidal rule, Simpson’s rules, Gaussian quadrature formula |
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25-Feb-22 |
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Numerical solution of ordinary differential equations: Euler and Runge Kutta-methods. |
26-Feb-22 |
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27-Feb-22 |
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Shortest Distance, Skew Lines |
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28-Feb-22 |
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1-Mar-22 |
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2-Mar-22 |
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Numerical Analysis |
Number System, |
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3-Mar-22 |
Analytic Geometry |
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4-Mar-22 |
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Cones Cylinders, Spheres |
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5-Mar-22 |
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6-Mar-22 |
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Fluid Dynamics |
Fluid Dynamics Boundary Problems |
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7-Mar-22 |
Analytic Geometry |
Central Conicoids |
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8-Mar-22 |
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9-Mar-22 |
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10-Mar-22 |
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Generating Lines, Paraboloid |
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Fluid Dynamics |
11-Mar-22 |
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12-Mar-22 |
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3D-PYQ |
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13-Mar-22 |
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Fluid Dynamics Equation of Motion, Bernauli Eqns |
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14-Mar-22 |
Mechanics |
Moment of Inertia, D alambert |
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15-Mar-22 |
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16-Mar-22 |
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17-Mar-22 |
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Lagrangian Eqns |
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Source, Sink |
18-Mar-22 |
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19-Mar-22 |
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Irrotational Motion |
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20-Mar-22 |
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Hamiltonian Eqns |
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21-Mar-22 |
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Vortex Motion, Navier Stoke : 4 Qns |
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22-Mar-22 |
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23-Mar-22 |
Mechanics |
Fixed Axis, Energy Conservation |
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24-Mar-22 |
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Fluid Dynamics |
Motion of Cylinder and Sphere |
30-Mar-22 |
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31-Mar-22 |
Linear Algebra |
Introduction: Algebra of Matrices; Row and column reduction, , congruence’s and similarity; Symmetric, skew- Hermitian, skew- orthogonal and unitary matrices. Rank of a matrix, Echelon form, Normal Form, Inverse of a matrix, |
Complex Analysis |
Analytic Functions , Cauchy Reiman Eqns: Definition and Problems, Limit ,Continuity |
1-Apr-22 |
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2-Apr-22 |
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Eigenvalues and eigenvectors, characteristic polynomial, Cayley Hamilton Theorem |
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Taylor’s series; Laurent’s series formula |
3-Apr-22 |
Linear Algebra |
Solution of system of linear equations |
Complex Analysis |
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4-Apr-22 |
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Cauchy’s theorem, Cauchy’s integral formula |
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5-Apr-22 |
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Diagnosable |
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6-Apr-22 |
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Vector spaces Definition and problems Subspaces, Bases, Dimension |
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7-Apr-22 |
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, |
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Calculus of Residue |
8-Apr-22 |
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Linear transformations, rank and nullity , LT Bases, Singular, Inveribles |
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Power Series and Misc Topics like Convergence |
9-Apr-22 |
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Matrix Formations |
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10-Apr-22 |
Linear Algebra |
Previous Year Problems |
Complex Analysis |
Previous Year Problems Complex Analyisis |
11-Apr-22 |
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12-Apr-22 |
Dynamics |
Central Forces |
Statics |
Virtual work |
13-Apr-22 |
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Inverse Square Law |
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14-Apr-22 |
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Common Catenary |
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15-Apr-22 |
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Projectile |
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16-Apr-22 |
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17-Apr-22 |
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SHM |
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Equilibrium Stable/Unstable |
18-Apr-22 |
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19-Apr-22 |
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Work Energy
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Friction |
20-Apr-22 |
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21-Apr-22 |
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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 |
Modern Algebra |
Binary Operations, Groups, Order, Properties |
22-Apr-22 |
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23-Apr-22 |
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Subgroup, Cyclic Group, Permutation Group Normal Group |
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24-Apr-22 |
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Gauss Theorem
Stoke Theorem |
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25-Apr-22 |
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Homomorphism Cayley Theorem |
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26-Apr-22 |
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Green Theorem |
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Ring Theory and Properties, Integral Domain, Field |
27-Apr-22 |
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28-Apr-22 |
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Differential Geometry : Basics Serret Frenet Curvature, Torsion |
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Ideals, Ring Homomorphism, Quotient Ring |
29-Apr-22 |
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30-Apr-22 |
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1-May-22 |
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Imbedding of Rings, Maximal,Prime Ideals, PID |
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2-May-22 |
Vector Analysis |
Vector Analysis PYQ |
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3-May-22 |
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4-May-22 |
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Modern Algebra |
ED, Polynomial Rings UFD, Primitive, Irreducible Polynomial |
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SYLLABUS COMPLETE ONCE
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5-Jun-22 |
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UPSC PRELIMS 2022 Exam |
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6-Jun-22 |
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7-Jun-22 |
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19-Jun-22 |
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Mini Test Paper 1 Part A |
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Mini Test Paper 2 Part A |
26-Jun-22 |
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Mini Test Paper 1 Part B |
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Mini Test Paper 2 Part B |
3-Jul-22 |
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10-Jul-22 |
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Full Length Test 1 Paper 1 |
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Full Length Test 1 Paper 2 |
17-Jul-22 |
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31-Jul-22 |
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Full Length Test 2 Paper 1 |
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Full Length Test 2 Paper 2 |
7-Aug-22 |
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14-Aug-22 |
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Grand Full Length Test 1 Paper 1 |
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Grand Full Length Test 1 Paper 2 |
21-Aug-22 |
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28-Aug-22 |
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Grand Full Length Test 2 Paper 1 |
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Grand Full Length Test 2 Paper 2 |
4-Sep-22 |
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11-Sep-22 |
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12-Sep-22 |
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UPSC MAINS EXAM STARTS |
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Fluid Dynamics | |||
01 Fluid Intro Test (3 pages) | |||
01 Fluid Intro Solutions (13 pages) | |||
02 Fluid Kinematics Test (3 pages) | |||
02 Fluid Kinematics Solutions (13 pages) | |||
03 Fluid Eqn of Motion Test (3 pages) | |||
03 Fluid Eqn of Motion Solutions (13 pages) | |||
Analytic Geometry Tests | |||
01 Geometry-Projections-Cosines-Test-SuccessClap (3 pages) | |||
01 Geometry-Projections-Cosines-Solutions (13 pages) | |||
02 Geometry-Straight LInes-Planes-Test-SuccessClap (3 pages) | |||
02 Geometry-Straight LInes-Planes-Solutions (13 pages) | |||
03 Geometry-SD-Skew-Test-SuccessClap (3 pages) | |||
03 Geometry-SD-Skew-Solutions (14 pages) | |||
04 Geometry-Cones-Cylinder-Sphere-Test-SuccessClap (3 pages) | |||
04 Geometry-Cones-Cylinder-Sphere-Solutions (13 pages) | |||
05 Geometry-Central Conicoids-Test-SuccessClap (3 pages) | |||
05 Geometry-Central Conicoids-Solutions (13 pages) | |||
06 Geometry-Generating Lines-Paraboloids-Test-SuccessClap (3 pages) | |||
06 Geometry-Generating Lines-Paraboloids-Solutions (13 pages) | |||
07 Geometry-PYQs-Test-SuccessClap (3 pages) | |||
07 Geometry-PYQs-Solutions (13 pages) | |||
Numerical Analysis Test | |||
01 Numerical Analysis ALgebraic Equations-Test-SuccessClap (3 pages) | |||
01 Numerical Analysis ALgebraic Equations Solutions (13 pages) | |||
02 Numerical Analysis-Linear Eqns-Test-SuccessClap (3 pages) | |||
02 Numerical Analysis-Linear Eqns- Solutions (13 pages) | |||
03 Numerical Analysis Lagrange Interpolation-Test-SuccessClap (3 pages) | |||
03 Numerical Analysis Lagrange Interpolation Solutions (13 pages) | |||
04 Numerical Analysis-Integrations-Test-SuccessClap (3 pages) | |||
04 Numerical Analysis-Integrations- Solutions (13 pages) | |||
05 Numerical Analysis-ODE-Test-SuccessClap (3 pages) | |||
05 Numerical Analysis-ODE- Solutions (13 pages) | |||
Calculus and Real Analysis Test | |||
CR01-LimitsContinuity-Test-SuccessClap (3 pages) | |||
CR01-LimitsContinuity-Solutions (13 pages) | |||
CR02-Differentiability-Test-SuccessClap (3 pages) | |||
CR02-Differentiability-Solutions (13 pages) | |||
CR03-Sequences-Test-SuccessClap (3 pages) | |||
CR03-Sequences-Solutions (13 pages) | |||
CR04-Mean Value Theorem-Test-SuccessClap (3 pages) | |||
CR04-Mean Value Theorem-Solutions (13 pages) | |||
CR05-Series-Test-SuccessClap - Copy (3 pages) | |||
CR05-Series-Solutions (13 pages) | |||
CR06-Indeterminate-Test-SuccessClap (3 pages) | |||
CR06-Indeterminate-Solutions (13 pages) | |||
CR07-Uniform Convergence-Test-SuccessClap (3 pages) | |||
CR07-Uniform Convergence-Solutions (13 pages) | |||
CR08-Improper Integrals-Test-SuccessClap (3 pages) | |||
CR08-Improper Integrals-Solutions (13 pages) | |||
CR09-Several Variable Functions-Test-SuccessClap (3 pages) | |||
CR09-Several Variable Functions-Solutions (15 pages) | |||
CR10-Max-Min-Lagrange-Test-SuccessClap (3 pages) | |||
CR10-Max-Min-Lagrange-Solutions (13 pages) | |||
CR11-Differntiation-Asymptote-Definite-Test-SuccessClap (3 pages) | |||
CR11-Differntiation-Asymptote-Definite-Solutions (18 pages) | |||
CR12-Rieman-Test-SuccessClap (3 pages) | |||
CR12-Rieman-Solutions (13 pages) | |||
CR13-Jacobians-Test-SuccessClap (3 pages) | |||
CR13-Jacobians-Solutions (13 pages) | |||
CR14-Partial Differntiation-Euler-Test-SuccessClap (3 pages) | |||
CR14-Partial Differntiation-Euler-Solutions (13 pages) | |||
CR15-Length-Areas=Surface-Test-SuccessClap (3 pages) | |||
CR15-Length-Areas=Surface-Solutions (13 pages) | |||
CR16-Beta Gamma -Test-SuccessClap (3 pages) | |||
CR16-Beta Gamma - Solutions (13 pages) | |||
CR17-Multiple variables-Test-SuccessClap (3 pages) | |||
CR17-Multiple variables-Solutions (16 pages) | |||
Calculus and Real Analysis Study Material | |||
Limits and Continuity (55 pages) | |||
Derivative (21 pages) | |||
Mean Value Theorem (45 pages) | |||
Indeterminate Forms (20 pages) | |||
Max Minima (14 pages) | |||
Asymptote (19 pages) | |||
Riemann Integrations (62 pages) | |||
Improper Integrals (36 pages) | |||
Sequence (60 pages) | |||
Series (52 pages) | |||
Series 2 (30 pages) | |||
Uniform Convergence (34 pages) | |||
Multiple Integrals (66 pages) | |||
Areas (17 pages) | |||
Surface Area (14 pages) | |||
Volume of Solid (12 pages) | |||
Length of Arc (10 pages) | |||
Beta Gamma Functions (26 pages) | |||
Differentiation under Integral Sign (24 pages) | |||
Countability of Sets (11 pages) | |||
Curve Tracing (27 pages) | |||
Open and Closed Sets (36 pages) | |||
Power Series (20 pages) | |||
Real Numbers (32 pages) | |||
ODE Tests | |||
Ode01-Test-SuccessClap (2 pages) | |||
Ode01solutions (11 pages) | |||
Ode02-Test-SuccessClap (3 pages) | |||
ODE02 Solutions (11 pages) | |||
Ode03-Test-SuccessClap (3 pages) | |||
ODE03 Solutions (20 pages) | |||
Ode04-Test-SuccessClap (3 pages) | |||
ODE04 Solutions (11 pages) | |||
Ode05-Test-SuccessClap (3 pages) | |||
ODE05 Solutions (11 pages) | |||
ode06-Test-SuccessClap (3 pages) | |||
ODE06 Solutions (11 pages) | |||
Ode07-Test-SuccessClap (3 pages) | |||
Ode07 Solutions (12 pages) | |||
Ode08-Test-SuccessClap (3 pages) | |||
Ode08 Solutions (12 pages) | |||
Ode09-Test-SuccessClap (3 pages) | |||
Ode09 Solutions (13 pages) | |||
Ode10-Test-SuccessClap (3 pages) | |||
Ode10 Solutions (12 pages) | |||
Ode11-Test-SuccessClap (3 pages) | |||
Ode11 Solutions (13 pages) | |||
Ode12-Test-SuccessClap (3 pages) | |||
Ode12 Solution (13 pages) | |||
Ode13-Test-SuccessClap (3 pages) | |||
Ode13 Solutions (13 pages) | |||
Ode14-Test-SuccessClap (3 pages) | |||
Ode14 Solutions (13 pages) | |||
PDE Tests | |||
Pde01-Test-SuccessClap (2 pages) | |||
Pde01 Solutions (20 pages) | |||
Pde02-Test-SuccessClap (3 pages) | |||
Pde02 Solutions (11 pages) | |||
Pde03-Test-SuccessClap (3 pages) | |||
Pde03 Solutions (12 pages) | |||
Pde04-Test-SuccessClap (2 pages) | |||
Pde04 Solutionss (11 pages) | |||
Pde05-Test-Successclap (3 pages) | |||
Pde05 Solutionss (11 pages) | |||
PDE06-Test-SuccessClap (3 pages) | |||
Pde06 Solutionss (11 pages) | |||
Pde07-Test-SuccessClap (3 pages) | |||
Pde07 Solutions (11 pages) | |||
Pde08-Test-SuccessClap (3 pages) | |||
PDE08 Solutions (13 pages) | |||
Pde09-Test-SuccessClap (3 pages) | |||
PDE09 Solutions (13 pages) | |||
Pde10-Test-SuccessClap (4 pages) | |||
Pde10 Solutions (16 pages) | |||
Pde11-Test-SuccessClap (3 pages) | |||
Pde11 Solutions (13 pages) | |||
ODE Study Material | |||
Day01 Formation (8 pages) | |||
Day02 1 Eqn of 1sr Order -1 (22 pages) | |||
Day02 2 Eqn of 1sr Order -2 (44 pages) | |||
Day03 Trajectory (16 pages) | |||
Day04 P X Y Solvable (18 pages) | |||
Day05 Claurit, Singular (31 pages) | |||
Day06 1 Linear Eqn Consatant Coeff -1 (28 pages) | |||
Day06 2 Linear Eqn Consatant Coeff - 2 (24 pages) | |||
Day07 Cauchy Euler Eqn (24 pages) | |||
Day08 Variation of Parameter (26 pages) | |||
Day09 Simultaneous Differntial Eqn (24 pages) | |||
Day09 Simultaneous Differntial Eqn (24 pages) | |||
Day11 Normal Form, Variable Transformation (31 pages) | |||
Day12 Laplace (51 pages) | |||
Day13 Inverse laplace (58 pages) | |||
Day14 Laplace-ODE Application (38 pages) | |||
PDE Study Material | |||
Day01 Formation of PDE (17 pages) | |||
Day02 1 Linear PDE Order 1 (27 pages) | |||
Day02 2 Geometry Problems (14 pages) | |||
Day03 NonLinear PDE , Charpit (33 pages) | |||
Day04 Special Methods (31 pages) | |||
Day05 Jacobi , Cauchy (21 pages) | |||
Day06 Homogeneous Constant Coeff (34 pages) | |||
Day07 NonHomogeneous PDE (30 pages) | |||
Day08 Euler Cauchy eqns (12 pages) | |||
Day09 Canonical Forms (49 pages) | |||
Day10 1 Boundary Problems Introduction (16 pages) | |||
Day10 2 Heat Eqn 1D (27 pages) | |||
Day10 3 Heat Eqn 2D,3D (27 pages) | |||
Day11 1 Wave Eqn (27 pages) | |||
Day11 2 Wave Eqn 2d,3D (7 pages) | |||
Day12 Laplace Eqn (22 pages) | |||
Day13 Polar Coordinate Sysytem (24 pages) | |||
Day14 1 Cylindrical Coordinate SYsytem (20 pages) | |||
Day14 2 Spherical Cordinate System (23 pages) |
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