Pure mathematics

Related lectures (30)

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Explores solving nonlinear systems of equations using Newton's method.

Covers the Cauchy problem in differential equations, focusing on initial conditions and their impact on solution uniqueness.

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

Explores the Cauchy problem, emphasizing solution finding and verification processes.

Covers the statement of the Bernoulli's Hospital Rule and its application.

Covers the correction of the simple curve definition and the importance of orientation in mathematical analysis.

Covers advanced counting techniques and includes a quiz session.

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

Explores multiple integrals, techniques, properties, and center of gravity calculation in various domains.

Covers advanced optimization methods using Lagrange multipliers to find extrema of functions subject to constraints.