Calculus I — Worked Examples

Topics in Calculus I

• Complex Numbers
• Notable Limits
• Limits with L’Hôpital’s Rule
• Limits with Taylor Expansions
• Sequences
• Series
• Continuity
• Differentiability
• Integration by Parts
• Integration by Substitution
• General ODEs
• Cauchy Problems for ODEs

These pages combine theoretical background and step-by-step worked examples.

About the Curators

The Calculus I section of Logic & Motion is curated by:

• Prof. Antonino De Martino, Professor at the Polytechnic University of Milan
• Dr. Luana Manfredini

Both curators combine academic expertise and teaching experience, providing students with clear, rigorous, and accessible resources for mastering the foundations of Calculus.