Practical Class 1. Introduction to FSV

This practical class reinforces theoretical concepts through hands-on problem-solving. The session focuses on three key skills: finding domains of definition for functions with square roots, logarithms, and fractions by identifying constraints like non-negative radicands and non-zero denominators; computing limits at points where direct substitution fails; and investigating continuity.

A major emphasis is placed on evaluating limits, where students learn why checking multiple paths of approach is essential—different paths yielding different values proves that a limit does not exist. Polar coordinates are introduced as a technique for certain limits.

The class also examines piecewise functions for continuity at specific points by comparing the function's value with the limit along various approaches. The material includes homework problems, solution recommendations, common mistakes to avoid, and control questions for self-assessment.