Maths Optional Mains Test Series 2021-2022 Dates & Schedule
We (Ramanasri UPSC Maths Optional Coaching) have been offering Best Mathematics Optional Test Series all over India through Online & Offline Programs. So interested in serious aspirants, please register your name online or offline at our office. For fee structure and registration, click on the link below.
Ramanasri UPSC Maths Optional Coaching is providing the best Maths Optional Mains Test Series 2021. Batch 1 starts from 17th Oct 2021; Batch 2 starts from 24th Oct 2021; Batch 3 starts from 31st Oct 2021. You can choose any one batch you wish to like. All the batches are the same type of Maths Optional Test Series. We will evaluate the complete solutions sheet. We also give proper feedback to improve your further Maths Optional presentation skills.
Maths Optional Test Series 2021 Dates & Schedule:
IAS, UPSC, IFoS (IFS), CSE, Civil Service Examinations Ramanasri Coaching Institute Maths Optional Test Series both ONLINE & OFFLINE are going to start from Batch I, Batch II and Batch III 17th, 24th, 31st Jan 2021, respectively.
1. Maths Optional Test Series Papers correction timely
2. Giving feed back for all Maths Optional Test Series Question Papers.
3. After completion of Maths Optional test, the solutions papers will be given.
4. Maths Optional Test Series Doubts explanations
5. Maths Optional Test Series Fee Rs.13,500(offline), Online Fee Rs.10,500
How to Register Online Mathematics/Maths Optional Test Series Program
· Fill the Ramanasri UPSC Maths Optional Coaching Application/Admission Form. For this, click on this Link: Admission Form of Ramanasri Maths Optional
· Upload the passport-size photo of your top right of the corner (select your image).
· Fill in all the details of the Ramanasri UPSC Maths Optional Coaching Application/Admission Form.
· Click on the Submit button below.
Price of the Online IAS UPSC Civil Services Examinations Ramanasri Coaching Institute Mathematics/Maths Optional Test Series 2021 Rs.10,500/-
How to Register Offline Mathematics/Maths Optional Test Series Program
FEE STRUCTURE
Price of the Offline IAS UPSC Civil Services Examinations Ramanasri Coaching Institute Mathematics/Maths Optional Test Series 2021 Rs. 13500/-
Mathematics/Maths Optional Test Series for IAS/IFoS (IFS)/UPSC/CSE-Civil Services Exams Instructions:
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Nearest metro station: Rajendra Place, Gate No-3. Phone: 8750706262
email address: ramanasri.ceo@gmail.com
IAS/IFoS (IFS)/UPSC/CSE-Civil Services Exam Maths/Mathematics Optional (Mains):
Online IAS UPSC Maths/Mathematics Optional Test Series
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Ramanasri Institute provides Best Mathematics Optional Coaching of for UPSC – Union Public Service Commission, CSE – Civil Services Examinations, IAS – Indian Administrative Services, IFoS(IFS) – Indian Forest Services, Examinations with top Best Results.
How to join Maths Optional Test Series 2021 Program?
Fill the Ramanasri UPSC Maths Optional Coaching Application/Admission Form. For this Click on this Link: Admission Form of Ramanasri Maths Optional
Fill all the details of the of the Ramanasri UPSC Maths Optional Coaching Application/Admission Form.
Self Study Program for UPSC Maths Optional for IAS, IFS(IFoS), Civil Services Mains Exams
This program specially designed for those people not able to access coaching or Institute centers in Delhi because of xyz reasons. So, you can start your preparation on your own atmosphere and comfortable zone. We will help through out in your journey.
Duration of this course 6 months (From Date of Joining) + Study material support. For sample study material please E-mail us.
SELF STUDY PROGRAM FOR IAS/IFoS(IFS)/UPSC/CSE-Civil Services Exam Maths/Mathematics Optional Aspirants
Self studying, which involves studying without direct supervision or attendance in a classroom program, is a valuable way to learn, and is quickly growing in popularity among parents and aspirants and also in the society. By complementing formal education in their graduation or post graduation, Aspirants can see a drastic improvement to grades, material understanding, and confidence.
Many IAS/IFoS(IFS) aspirants study at home and/or comfortable atmosphere to supplement their class-based learning. However, self study can also be used to master a new skill or learn an entirely new concept – like a language or an instrument. The benefits you can gain from self study are endless and are completely determined by your (aspirant) goals.
There are various self studying methods you can implement at home (whether they’re self study tips to complete solo or with you) that can bring about many educational benefits both in and out of coaching institutes.
My dear IAS/IFoS(IFS)/UPSC/CSE-Civil Services Exam Maths/Mathematics Optional aspirants USE THE FOLLOWING METHODS TO STUDY AT HOME OR WITH YOUR ROOM.
Test No |
Syllabus | Module |
Test-01 | 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. | ODE |
Test-02 | 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 (Homogeneous linear equations); | |
Test-03 | Determination of complete solution when one solution is known using method of variation of parameters. | |
Test-04 | 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. | |
Test-05 | Family of surfaces in three dimensions and formulation of partial differential equations; Solution of quasi linear partial differential equations of the first order | PDE |
Test-06 | Cauchy’s method of characteristics; Canonical form, Laplace equation and their solutions; Equation of a vibrating string, heat equation. | |
Test-07 | Linear partial differential equations of the second order with constant coefficients, | |
Test-08 | Cartesian and polar coordinates in three dimensions, Plane, Straight lines & Shortest distance (S.D) between two skew lines | AG |
Test-09 | Sphere | |
Test-10 | Cone & Cylinder | |
Test-11 | paraboloid, ellipsoid, hyperboloid of one and two sheets and their properties. | |
Test-12 | second degree equations in three variables, reduction to canonical forms. | |
Test-13 | Linear programming problems, basic solution, basic feasible solution and optimal solution; Graphical method and simplex method of solutions; Duality. | LPP |
Test-14 | Transportation and assignment problems. | |
Test-15 | Numerical methods: Solution of algebraic and transcendental equations of one variable by bisection, Regula-Falsi and Newton-Raphson methods; solution of system of linear equations by Gaussian elimination and Gauss-Jordan (direct), Gauss-Seidel (iterative) methods. Newton’s (forward and backward) interpolation, Lagrange’s interpolation. | NA & CP |
Test-16 | Numerical integration: Trapezoidal rule, Simpson’s rules, Gaussian quadrature formula. Numerical solution of ordinary differential equations: Euler and Runga Kutta-methods. | |
Test-17 | Binary system; Arithmetic and logical operations on numbers; Octal and Hexadecimal systems; Conversion to and from decimal systems; Algebra of binary numbers. Elements of computer systems and concept of memory; Basic logic gates and truth tables, Boolean algebra, normal forms. Representation of unsigned integers, signed integers and reals, double precision reals and long integers. Algorithms and flow charts for solving numerical analysis problems. | |
Test-18 | Groups, subgroups, cyclic groups, cosets, Lagrange’s Theorem | MA |
Test-19 | Normal subgroups, quotient groups, homomorphism of groups, basic isomorphism theorems, permutation groups, Cayley’s theorem. | |
Test-20 | Rings, Integral domains, Fields, sub rings and ideals. | |
Test-21 | Homomorphism of rings; Principal Ideal domains, Euclidean domains and Unique Factorization domains; , Quotient fields. | |
Test-22 | Vector spaces over R and C, linear dependence and independence, subspaces, bases, dimension; | |
Test-23 | Linear transformations, rank and nullity, matrix of a linear transformation. | LA |
Test-24 | Algebra of Matrices; Row and column reduction, Echelon form, congruence’s and similarity; Rank of a matrix; Inverse of a matrix; Solution of system of linear equations; Eigen values and eigenvectors, characteristic polynomial, Cayley-Hamilton theorem, Symmetric, skew-symmetric, Hermitian, Skew-Hermitian, orthogonal and unitary matrices and their eigen values. | |
Test-25 | 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. | RA |
Test-26 | Continuity and uniform continuity of functions, properties of continuous functions on compact sets. Riemann integral, improper integrals; | |
Test-27 | 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. | |
Test-28 | 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; | CAL |
Test-29 | Functions of two or three variables: limits, continuity, partial derivatives, maxima and minima, Lagrange’s method of multipliers, Jacobian. | |
Test-30 | Riemann’s definition of definite integrals; Indefinite integrals; Infinite and improper integrals; Double and triple integrals (evaluation techniques only); Areas, surface and volumes. | |
Test-31 | Analytic functions, Cauchy-Riemann equations, Cauchy’s theorem, Cauchy’s integral formula, power series representation of an analytic function, | CA |
Test-32 | Taylor’s series; Singularities; Laurent’s series; Cauchy’s residue theorem; Contour integration. | |
Test-33 | Scalar and vector fields, differentiation of vector field of a scalar variable; Gradient, divergence and curl in Cartesian and cylindrical coordinates; Higher order derivatives; | VA |
Test-34 | 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. | |
Test-35 | Rectilinear motion, simple harmonic motion, motion in a plane, projectiles; constrained motion; | D & S |
Test-36 | Work and energy, conservation of energy; Kepler’s laws, orbits under central forces. Equilibrium of a system of particles; | |
Test-37 | Work and potential energy, friction; common catenary; Principle of virtual work; Stability of equilibrium, equilibrium of forces in three dimensions. | |
Test-38 | Generalized coordinates; D’ Alembert’s principle and Lagrange’s equations; Hamilton equations; Moment of inertia; | M & FD |
Test-39 | Motion of rigid bodies in two dimensions. Equation of continuity; Euler’s equation of motion for in viscid flow; Stream-lines, path of a particle; Potential flow; | |
Test-40 | Two-dimensional and axisymmetric motion; Sources and sinks, vortex motion; Navier-Stokes Equation for a viscous fluid. |
TO MOST EFFECTIVELY INCORPORATE SELF STUDYING INTO YOURS LIFE, MAKE SURE YOU HAVE THE FOLLOWING TOOLS ON HAND
If you are struggling when test time comes around, Ramanasri IAS/IFoS Institute’s Self Study program is here to help! Contact us today to learn more and many things daily.
Finally you can reach your dream of becoming an IAS officer !!!
How to Register Self-Study Program
Fill all the details of the of the Ramanasri UPSC Maths Optional Coaching Application/Admission Form.
FEE STRUCTURE
Price of the Self-Study Program (40 Tests) along with Study Materials: Rs.27,500/-
Price of the Self-Study Program (40 Tests): Rs.17,500/-