Exam Problem Examples

Related lectures (26)

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Introduces systems and linear equations, defining lines and planes in 2D and 3D spaces.

Covers the concept of integrals of paths with examples and applications.

Explains integration by parts and Taylor series development for finding explicit formulas and understanding term orders.

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.

Covers calculating with Taylor series and convexity concepts, including sin(x) and cos(x) approximations.

Covers the principle of virtual work and how to determine correct signs and calculations.

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

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

Discusses ordinary differential equations, focusing on initial conditions and methods for finding solutions.

Covers the Riemann sphere, focusing on its conditions and correlation functions in mathematical and physical contexts.