Course Overview

Comprehensive study of multivariable calculus and vector analysis. Key areas included:

Vector Fields and Surfaces

• Vector fields and their properties
• Parametric surfaces
• Surface normals and orientability
• Differential geometry

Integration Techniques

• Multiple integrals
• Line integrals
• Surface integrals
• Change of variables

Fundamental Theorems

• Green's theorem
• Stokes' theorem
• Divergence theorem