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PyMaths Academy
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Syllabus
Paper I
Linear Algebra
Vector Spaces
Linear Transformations
Algebra of Matrices
Eigenvalues & Eigenvectors
Types of Matrices
PYQs 1
PYQs 2
PYQs 3
PYQs 4
PYQs 5
Calculus
Functions of a Real Variable
Functions of Two or Three Variables
Integrals
Areas, Surfaces and Volumes
PYQs 1
PYQs 2
PYQs 3
PYQs 4
PYQs 5
Analytic Geometry
Second Degree Equations
Canonical Forms
Straight Lines
Plane
Sphere
Cone
Cylinder
Paraboloid
Ellipsoid
Hyperboloid
PYQs 1
PYQs 2
PYQs 3
PYQs 4
PYQs 5
ODEs
First Order ODEs
Constant Coefficients ODEs
Variable Coefficients ODEs
Laplace Transform
PYQs 1
PYQs 2
PYQs 3
PYQs 4
PYQs 5
Dynamics
Rectilinear Motion
SHM
Projectiles
Constrained Motion
Central Orbits
Kepler's Laws
PYQs 1
PYQs 2
PYQs 3
PYQs 4
Statics
Equilibrium
Friction
Stability of Equilibrium
Catenary
Virtual Work
PYQs 1
PYQs 2
PYQs 3
PYQs 4
Vector Analysis
Scalar and Vector Fields
Gradient, Divergence and Curl
Identities and Equations
Applications to Geometry
Theorems and Identities
PYQs 1
PYQs 2
PYQs 3
PYQs 4
PYQs 5
Paper II
Algebra
Group Theory
Homomorphism
Rings
Ideals
Domains
Fields
PYQs 1
PYQs 2
PYQs 3
PYQs 4
PYQs 5
Real Analysis
Set Theory
Sequence
Series
Continuity
Derivatives
Integrals
Sequences and Series of Functions
PYQS 1
PYQS 2
PYQS 3
PYQS 4
PYQS 5
Complex Analysis
Analytic Functions
Power Series
Cauchy's Residue Theorem
Contour Integration
PYQs 1
PYQs 2
PYQs 3
PYQs 4
PYQs 5
Linear Programming
Linear Programming Problems
Graphical and Simplex Methods
Duality
Transportation Problem
Assignment Problems
PYQs 1
PYQs 2
PYQs 3
PYQs 4
PDEs
Introduction
First Order PDEs
Second Order PDEs
Examples of PDEs
PYQs 1
PYQs 2
PYQs 3
PYQs 4
PYQs 5
Numerical Analysis
Algebraic and Transcendental Equations
System of Linear Equations
Interpolation
Numerical Integration
Numerical Solution of ODEs
PYQs 1
PYQs 2
PYQs 3
PYQs 4
Computer Programming
Computer Programming
Computer Systems
Algorithms and Flow Charts
PYQS 1
PYQS 2
Mechanics
Moment Of Inertia
D'Alembert's Principle
Generalized Coordinates
Lagrange's Equations
Hamilton's Equations
Rigid Bodies
Fluid Dynamics
Equation of Continuity
Euler's Equation of Motion
Potential Flow
2D & Axisymmetric Motion
Sources And Sinks
Vortex Motion
Navier-Stokes Equation
PYQs IAS
Paper I PYQs IAS
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
Paper II PYQs IAS
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
PYQs IFoS
Paper I PYQs IFoS
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
Paper II PYQs IFoS
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
Test Series
Objective TS
Test 1
Test 2
Test 3
Test 4
Test 5
Test 6
Test 7
Test 8
Test 9
Test 10
Test 11
Test 12
Test 13
Test 14
Test 15
Test 16
Subjective TS
Test 1
Test 2
Test 3
Test 4
Test 5
Test 6
Test 8
Test 9
Test 10
Test 11
Test 12
Test 13
Test 14
Test 15
Test 16
Test 7
Paper II IAS PYQs
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
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