Absolute Values: Equations and Inequalities

Covers the concept of absolute value and its properties, including graphical interpretation and equation solving.

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

Explores the search for solutions in nonlinear systems through various methods and techniques.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.