Analytical Trajectories: Key Ingredients

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Explores the analytical solutions of ordinary differential equations, emphasizing the identification and solving process for various EDO types.

Focuses on solving an inequality using a sign table method.

Covers Morse theory, focusing on critical points and non-degeneracy.

Explores maximum likelihood estimation and multivariate hypothesis testing, including challenges and strategies for testing multiple hypotheses.

Explores absolute values in equations and inequalities, focusing on solving |f(x)| = g(x).

Explores principal components, covariance, correlation, choice, and applications in data analysis.

Introduces Laurent series in complex analysis, focusing on convergence and analytic functions.

Covers the Lipschitz gradient theorem and its applications in function optimization.

Discusses local extrema of functions in two variables around the point (0,0).

Introduces the EPFL MOOC Analyse 1, emphasizing understanding over memorization.