Math 13: Syllabus

Fall 1997


Date       Section

W   9/24   11.1   Three-Dimensional Coordinates
           11.2   Vectors
           11.3   The Dot Product
Th  9/25   11.4   The Cross Product
           11.5   Equations of Lines and Planes
F   9/26   11.7   Vector Functions and Space Curves
           12.1   Functions of Several Variables

M   9/29   11.8   Arc Length
           11.9   Motion in Space: Velocity and Acceleration
W  10/ 1   12.1   Functions of Several Variables
           12.2   Limits and Continuity
F  10/ 3   12.3   Partial Derivatives

M  10/ 6   12.4   Tangent Planes and Differentials
W  10/ 8   12.5   The Chain Rule
F  10/10   12.6   Directional Derivatives and the Gradient

M  10/13   12.7   Maximum and Minimum Values
W  10/15          Review
Th 10/16          HOUR EXAM 1
F  10/17   13.1   Double Integrals over Rectangles
           13.2   Iterated Integrals

M  10/20   13.2   Iterated Integrals
W  10/22   13.3   Double Integrals over General Regions
F  10/24   13.4   Double Integrals in Polar Coordinates

M  10/27   13.5   Applications of Double Integrals
W  10/29   13.6   Surface Area
F  10/31   Special Day of Classes: 9:15 - 10:20
           13.7   Triple Integrals

M  11/ 3   13.9   Change of Variables
W  11/ 5          Review
Th 11/ 6          HOUR EXAM 2
F  11/ 7   14.1   Vector Fields

M  11/10   14.2   Line Integrals
W  11/12   14.2   Line Integrals of Vector Fields; Work
F  11/14   14.3   Fundamental Theorem

M  11/17   14.4   Green's Theorem
W  11/19   14.5   Curl 
F  11/21   14.6   Parametric Surfaces

M  11/24   14.7   Surface Integrals
W  11/26   Special Day of Classes: No class
F  11/28   Thanksgiving Recess: No class 

M  12/ 1   14.8   Stokes' Theorem
W  12/ 3          Review

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S. Kaliszewski / Department of Mathematics / Dartmouth College
New Hampshire, U.S.A. 03755