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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
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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
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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 I IFoS PYQs
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
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