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Chapter 11. Vectors, Curves, and Surfaces in Space (8 hours)
11.1 Vectors in the Plane (1)
11.2 Three Dimensional-Vectors (1)
11.3 The Cross Product of Two Vectors (1)
11.4 Lines and Planes in Space (.5)
11.5 Curves and Motion in Space (1.5)
11.6 Curvature and Acceleration (1)
11.7 Cylinders and Quadratic Surfaces (1)
11.8 Cylindrical and Spherical Coordinates (1)
Hour Exam 1 (1 hour)
Chapter 12. Partial Differentiation (9 hours)
12.1 Introduction (.1)
12.2 Functions of Several Variables (.9)
12.3 Limits and Continuity (1)
12.4 Partial Derivatives (1)
12.5 Multivariable Optimization Problems (1)
12.6 Increments and Linear Approximation (1)
12.7 The Multivariable Chain Rule (1)
12.8 Directional Derivatives and the Gradient Vector (1)
12.9 Lagrange Multipliers and Constrained Optimization (1)
12.10 Critical Points of Functions of Two Variables (1)
Hour Exam 2 (1 hour)
Chapter 13. Multiple Integrals (8 hours)
13.1 Double Integrals (1)
13.2 Double Integrals over More General Regions (1)
13.3 Area and Volume by Double Integration (.5)
13.4 Dougle Integrals in Polar Coordinates (1)
13.5 Applications of Double Integrals(1)
13.6 Triple Integrals (1)
13.7 Integration in Cylindrical and Spherical Coordinates (1)
13.8 Surface Area (.5)
13.9 Change of Variables in Multiple Integrals (1)
Chapter 14. Vector Calculus (12 hours)
14.1 Vector Fields (1)
14.2 Line Integrals (2)
14.3 The Fundamental Theorem and Independence of Path (2)
14.4 Green’s Theorem (2)
14.5 Surface Integrals (2)
14.6 The Divergence Theorem (2)
14.7 Stokes’ Theorem (2)
Hour Exam 3 (1 hour)
Exams (3 hours)
Leeway (3 hours)
Total Hours (43 hours)