Here is the syllabus for Math 324. The material in the first four sections of Chapter 15 is review (see the Math 126 syllabus). The material in Chapter 14.5 and 14.6 is used only in Chapter 16, so sections 14.5 and 14.6 have been placed between Chapters 15 and 16.

The text is "Multivariable Calculus - Custom Edition (Early Transcendentals)", 7th Edition by James Stewart.

Chapter Section Topics Comment
Math 324
15 1 Double Integrals over Rectangles  
2 Iterated Integrals  
3 Double Integrals over General Regions  
4 Double Integrals in Polar Coordinates  
5 Applications of Double Integrals  
6 Surface Area  
7 Triple Integrals  
8 Triple Integrals in Cylindrical Coordinates  
9 Triple Integrals in Spherical Coordinates  
10 Change of Variables in Multiple Integrals  
14 5 The Chain Rule  
6 Directional Derivatives and the Gradient Vector  
16 1 Vector Fields  
2 Line Integrals  
3 The Fundamental Theorem for Line Integrals  
4 Green's Theorem  
5 Curl and Divergence  
6 Parametric Surfaces and Their Areas  
7 Surface Integrals  
8 Stokes' Theorem  
9 The Divergence Theorem  
10 Summary