Chapter 1: Mathematical Foundations for Robotics

📽️ Estimated Time: 3 hours of video lectures + 5–8 hours of study and exercises

This chapter lays the essential mathematical groundwork for robotics. Students will review key concepts in linear algebra and apply them using Python, building the skills necessary for deeper exploration in kinematics and control.

🔹 Core Linear Algebra Operations

Vectors: Dot product, cross product, norms, unit vectors, vector addition, orthogonality, and practical applications
Coordinate Frames: Understanding reference frames in robotics
Matrices: Multiplication, determinant, transpose, and inverse operations

🔹 Practical Coding with Python

Introduction and comparison of relevant programming environments
Hands-on examples of linear algebra operations using Python
Simple visualizations and plots to support geometric understanding