Math 18: Several Variable Calculus Syllabus (Fall 2001)


 
DateTopic
  
Mon 9/31.1 Vectors
Wed 9/51.2 Dot product
Fri 9/71.3 Cross product
Mon 9/101.4 Cylindrical and spherical coordinates, 
1.5 n-dimensional space
Wed 9/122.1 Functions, 2.2 Limits and continuity
Fri 9/142.3 Differentiation
Mon 9/172.3 Differentiation (cont.)
Wed 9/192.4 Paths
Fri 9/212.5 Properties of the derivative
Mon 9/242.6 Gradients and directional derivatives
Wed 9/263.1 Higher-order partial derivatives
Fri 9/283.2 Taylor's theorem, 3.3 Maxima and minima
Mon 10/13.4 Constrained max-min problems
Wed 10/33.6 Applications
Fri 10/54.1 Acceleration
Mon 10/84.2 Arc length
Tues 10/9FIRST MIDTERM - 7:00 - 8:30 p.m., Hicks 211
Wed 10/104.3 Vector fields
Fri 10/124.4 Divergence and curl
Mon 10/15BREAK
Wed 10/17BREAK
Fri 10/19BREAK
Mon 10/225.1 Double and triple integrals
Wed 10/245.3 Double integral
Fri 10/265.4 Changing the order of integration
Mon 10/295.6 Triple integral
Wed 10/316.1 Geometry of maps
Fri 11/26.2 Change of variables
Mon 11/57.1 Path integrals
Wed 11/77.2 Line integrals
Fri 11/97.2 (continued)
Mon 11/127.3 Parametrized surfaces
Tues 11/13SECOND MIDTERM - 7:00 - 8:30 p.m., Hicks 211
Wed 11/147.4 Surface area
Fri 11/167.5 Integrals over surfaces - scalar functions
Mon 11/197.6 Integrals over surfaces - vector functions
Wed 11/217.6 (continued)
Fri 11/23BREAK
Mon 11/268.1 Green's theorem
Wed 11/288.2 Stokes' theorem
Fri 11/308.2 (continued)
Mon 12/38.3 Conservative vector fields
Wed 12/58.4 Gauss's theorem
Fri 12/78.5 Applications of integral theorems
Mon 12/10TBD


Jim Wiseman
Department of Mathematicsand Statistics
Swarthmore College
500 College Avenue
Swarthmore, PA 19081
jwisema1@swarthmore.edu