This book provides an innovative approach to learning dynamics of particles and rigid bodies, emphasizing a consistent problem-solving framework designed to help students understand the subject while building and reinforcing the mathematical tools needed to bridge the gap between physical intuition and quantitative results. The theoretical developments are supported by an extensive set of MATLAB codes that give the reader powerful tools for exploring and visualizing basic concepts. The book is aimed at engineering students at the sophomore level who have a background in calculus, linear algebra, and differential equations.