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| Chapter (approx) | Topic | Key Problems to Solve | |----------------|-------|----------------------| | 11 | Vectors & 3D Space | 11.4 (Cross product), 11.6 (Lines/planes) | | 12 | Vector Functions | 12.3 (Arc length), 12.4 (Curvature) | | 13 | Partial Derivatives | 13.5 (Chain rule), 13.8 (Lagrange multipliers) | | 14 | Multiple Integrals | 14.3 (Double polar), 14.7 (Triple spherical) | | 15 | Vector Calculus | 15.2 (Line integrals), 15.5 (Green’s), 15.7 (Divergence), 15.8 (Stokes) |