Calculus and DifferentialEquations with AI

Artificial Intelligence (AI) is becoming an essential tool in modern education, especially as learning today demands greater speed and flexibility. A clear understanding of how to use AI properly can unlock new opportunities for deeper, more efficient learning and help students advance their knowledge to higher levels. This book begins by introducing traditional methods for solving problems in calculus and differential equations, fundamental topics in science and engineering education. These methods reflect the logical thinking and step-by-step processes typically taught in classrooms. It then demonstrates how AI can be applied to solve the same problems, providing instant results, graphs, and solution steps. This side-by-side approach allows students to compare and verify outcomes, enhancing both comprehension and confidence. The goal of this book is not only to teach students how to use AI tools but also to strengthen their mathematical foundations and develop critical thinking skills. With a solid understanding of core concepts, students can use AI wisely, embracing its benefits without becoming overly reliant on its answers. After all, understanding the process remains just as important as the result.