Math
323, Calculus III
The list of topics below is the minimum that will be covered in the
course. A common final wil be given in all sections of the course.
List of topics
BOOK: Multivariable Calculus, Sixth Edition, by Edwards & Penney.
The numbers in parenthesis refer to section numbers in the book.
- Matrices and Determinants
- Vectors and Dot Product (12.1-2)
- The Cross Product (12.3)
- Lines and Planes (12.4)
- Curves and Motion in Space (12.5)
- Curvature and Accelaration (12.6)
- Cylinders and Quadric Surfaces (12.7)
- Cylindrical and Spherical Coordinates (12.8)
- Functions of Several Variables (13.2)
- Limits and Continuity (13.3)
- Differentiation (13.4, 13.8)
- Tangent Planes and Linear Approximations (13.6)
- The Chain Rule (13.7)
- Maxima and Minima (13.5, 13.10)
- Lagrange Multipliers (13.9)
- Double Integrals (14.1, 14.2)
- Area and Volume (14.3)
- Double Integrals in Polar Coordinates (14.4)
- Applications of Double Integrals (14.5)
- Triple Integrals (14.6)
- Triple Integrals in Cylindrical and Spherical Coordinates (14.7)
- Surface Area (14.8)
- Change of Variables in Multiple Integrals (14.9)
- Vector Fields (15.1)
- Line Integrals (15.2)
- The Fundamental Theorem for Line Integrals (15.3)
- Green's Theorem (15.4)
- Surface Integrals (15.5)
- The Divergence Theorem (15.6)
- Stokes' Theorem (15.7)