Lecture 1: Section 12.1 Introduction
An introduction to the course and fundamental concepts.
Lecture 2: Section 12.2 Vectors
An introduction to vectors, scalars, and basic vector operations.
Lecture 3: Section 12.3 The Dot Product
Exploring the dot product, orthogonality, and vector projections.
Lecture 4: Section 12.4 The Cross Product
Understanding the cross product, torque, and the area of a parallelogram.
Lecture 5: Section 12.5 Lines and Planes
Understanding lines and planes and normal vectors in $\mathbb{R}^3$.
Lecture 6: Section 13.1 Vector funtions and Space Curves
Introduction to parameterizations of curves in $\mathbb{R}^3$.