Foundations of Computer-Aided Engineering Design

Behind every modern product, vehicle, or structure lies a foundation of precise digital design. Understanding how computer-aided engineering design systems represent shapes and simulate physical behaviors is essential for any aspiring engineer or product designer. This text-only course guides you through the core mathematical, geometric, and computational concepts that power modern CAD and engineering design software. You will transition from basic design theory to understanding complex surfaces and solid modeling techniques. By learning the underlying mechanics of these digital tools, you will gain the ability to make smarter design decisions and troubleshoot complex modeling challenges. What you'll learn: - Understand the fundamental principles of geometric modeling and coordinate transformations - Master the mathematics of curves and surfaces, including Bezier curves and B-splines - Analyze solid modeling techniques and representation schemes used in modern design software - Explore parametric design workflows and constraint-based modeling principles - Apply basic finite element analysis concepts to evaluate design integrity - Integrate modern prototyping considerations, such as additive manufacturing constraints, into your designs This course begins with essential terminology and the foundational physics of engineering design, before advancing systematically through curve generation, solid modeling, and simulation concepts. This course is designed for engineering students, product designers, and technical hobbyists who want to understand the science behind modern design tools. No prior CAD experience is required. Start reading today to build a strong computational foundation in engineering design.