Concept

Related lectures (27)
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Explores canonical transformations, conservation of quantities, and differential equations in analytical mechanics.
Partial Differential Equations
Introduces partial differential equations, covering derivatives, special cases, transformations, and the Jacobian matrix.
Summary using nabla symbol
Covers the concept of nabla symbol, vector scalar, divergence, and cross product in 3D.
Methods of Demonstrations: Recurrence and Differential Calculus
Covers methods of demonstrations and differential calculus of functions of several variables.
Derivable Functions: Partial Derivatives and Jacobian Matrix
Covers derivable functions, partial derivatives, Jacobian matrix, and rule of composition.
Partial Derivatives and Derivability
Explains partial and directional derivatives, and functions' derivability.
Feedforward Neural Networks: Activation Functions and Backpropagation
Introduces feedforward neural networks, activation functions, and backpropagation for training, addressing challenges and powerful methods.
Hamiltonian Formalism: Harmonic Oscillator
Explores the Hamiltonian formalism for the harmonic oscillator, focusing on deriving Lagrangian and Hamiltonian, isolating the system, and generating new conserved quantities.
Differentiability: Partial Derivatives and Hessiennes
Explains partial derivatives, Hessienne matrix, and their properties.

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