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Practice
Levels
L0
L1
L2
L3
Concepts
L3
Bessel functions, Legendre polynomials and other special functions
L3
Classification of PDEs: parabolic, hyperbolic, elliptic
L2
Common probability distributions
L2
Complex numbers
L3
Conformal mapping
L2
Curve sketching with derivatives
L2
Determinants
L3
Divergence and curl
L3
Dynamical systems and phase portraits
L3
Eigenvalues and eigenvectors
L2
First-order differential equations
L3
Fourier series
L2
Functions and inverses
L3
Functions of a complex variable
L3
The Green's function method
L3
Hypothesis testing
L2
Improper integrals
L2
Infinite series
L3
Introduction to partial differential equations
L3
The Laplace transform
L3
Laurent series and singularities
L2
Limits of functions
L2
Lines and planes in space
L2
Matrices
L2
Multiple integrals
L3
Multivariable optimisation and Lagrange multipliers
L2
Partial derivatives
L3
Point and interval estimation
L2
Polar and exponential form
L2
Probability
L2
Random variables and distributions
L3
Residue theorem and contour integration
L2
Second-order differential equations
L3
Separation of variables and Sturm-Liouville problems
L2
Systems of linear equations
L3
Tensor algebra and curvilinear coordinates
L2
The cross product
L2
The definite integral
L2
The derivative
L3
The divergence and Stokes' theorems
L2
The dot product
L2
The indefinite integral
L3
Vector fields and the gradient
L2
Vector spaces and linear independence
L2
Vectors in space
Mode
concept
formula
mixed
Answer format
multiple-choice
free-entry
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