Sale!

IMS Maths Optional Test Series

0.00

Candidates can call us for more discussion and query at our customer support number 9354925302

Description

IMS Maths Optional Test Series

Cover Test Series Topics

  1. IMS Maths Optional Test Series 1 2023
  2. IMS Maths UPSC Optional Test Series 2 2023
  3. IMS Maths IAS Optional Test Series 3 2023
  4. IMS Maths Optional Test Series 4 2023
  5. IMS Maths Optional Test Series 5  2023
  6. IMS Maths Optional Test Series 6  2023
  7. IMS Maths Optional Test Series 7  2023
  8. IMS Maths Optional Test Series 8 2023 
  9. IMS Maths Optional Test Series 9 2023
  10. IMS Maths Optional Test Series 20 203

Click This Link Pdf Notes: IMS Maths Notes Complete Study materials

UPSC Maths Optional Syllabus For Paper I
PAPER – I

(1) Linear Algebra: Vector spaces over R and C, linear dependence and independence, subspaces, bases, dimension; linear transformations, rank and nullity, matrix of a linear transformation. Algebra of Matrices; row and column reduction, echelon form, congruence and similarity; rank of a matrix; the inverse of a matrix; solution of system of linear equations; eigenvalues and eigenvectors, characteristic polynomial, Cayley-Hamilton theorem, symmetric, skew-symmetric, Hermitian, skew-Hermitian, orthogonal and unitary matrices and their eigenvalues.

(2) Calculus: Real numbers, functions of a real variable, limits, continuity, differentiability, mean value theorem, Taylor’s theorem with remainders, indeterminate forms, maxima and minima, asymptotes; curve tracing; functions of two or three variables: limits, continuity, partial derivatives, maxima and minima, Lagrange’s method of multipliers, Jacobian. Riemann’s definition of definite integrals; indefinite integrals; infinite and improper integrals; double and triple integrals (evaluation techniques only); areas, surface and volumes.

IMS Maths Optional UPSC Test Series

(3) Analytic Geometry: Cartesian and polar coordinates in three dimensions, second degree equations in three variables, reduction to canonical forms, straight lines, shortest distance between two skew lines; plane, sphere, cone, cylinder, paraboloid, ellipsoid, hyperboloid of one and two sheets and their properties.

(4) Ordinary Differential Equations: Formulation of differential equations; equations of first order and first degree, integrating factor; orthogonal trajectory; equations of first order but not of first degree, Clairaut’s equation, singular solution. 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.

(5) Dynamics & Statics: Rectilinear motion, simple harmonic motion, motion in a plane, projectiles; constrained motion; work and energy, conservation of energy; Kepler’s laws, orbits under central forces. 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.

(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. Application to geometry: curves in space, curvature and torsion; Serret-Frenet’s formulae. Gauss and Stokes’ theorems, Green’s identities.

Best IAS COaching in Kochi

Best IAS Coaching in Dehradun

UPSC Coaching Insititute In Delhi

Top Ias Coaching In Hyderabad

IAS Coaching In Bangalore

TOP UPSC Coaching In Delhi

UPSC Coaching Insititute In Hyderabad

 Best Ias Coaching In Patna

Top UPSC Coaching In Chennai

Best UPSC Coaching In Kolkata

UPSC Coaching Insititute Bangalore

Best IAS Coaching In Mumbai

IAS Coaching Of Chandigarh

IAS Coaching Insititute Of Kolkata

 

 

Contact In formation

For inquiry and talk you can go along with us our what’s app gather such a large number of understudies are as of now gone along with us you can like wise join at 9354925302 and visit our site Examophobia

For soft copy data about UPSC,IPS,IAS, Study material our official unravel your inquiries with neighborliness so understudies call us 9354925302 and visit our site  Onlinekhanmarket

 

Hard Copy Notes : Plutus IAS Mathematics Optional Printed Notes

SOCIOLOGY Optional Class Notes

Reviews

There are no reviews yet.

Be the first to review “IMS Maths Optional Test Series”

Your email address will not be published. Required fields are marked *