Course Outline for MH264, Calculus IV
Professor: Thomas H. Pate
Textbook: Calculus, 3rd edition,
James Stewart
Chapter 11......................................................................................................
11.7 Vector Functions and Space Curves
11.9 Notion in Space
Chapter 12......................................................................................................
12.1 Functions of Several Variables
12.2 Limits and Continuity
12.3 Partial Derivatives
12.4 Tangent Planes and Differentials
12.5 The Chain Rule
12.7 Direction Derivatives, and the Gradient Vector
12.8 Maximum and Minimum Values
12.9 Lagrange Multipliers
Chapter 13 ........................................................................................................
13.1 Double Integrals over Rectangles
13.2 Iterated Integrals
13.3 Double Integrals over General Regions
13.7 Triple Integrals
13.8 Triple Integrals in Cylindrical and Spherical
Coordinates
13.9 Change of Variables in Multiple Integrals
Chapter 14 .........................................................................................................
14.2 Vector Fields
14.2 Line Integrals
14.3 The Fundamental Theorem for Line Integrals
14.4 Green's Theorem in the Plane
Course Information for MH264
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