Math 18: Several Variable Calculus Syllabus (Fall 2001)


 
Date Topic
   
Mon 9/3 1.1 Vectors
Wed 9/5 1.2 Dot product
Fri 9/7 1.3 Cross product
Mon 9/10 1.4 Cylindrical and spherical coordinates, 
1.5 n-dimensional space
Wed 9/12 2.1 Functions, 2.2 Limits and continuity
Fri 9/14 2.3 Differentiation
Mon 9/17 2.3 Differentiation (cont.)
Wed 9/19 2.4 Paths
Fri 9/21 2.5 Properties of the derivative
Mon 9/24 2.6 Gradients and directional derivatives
Wed 9/26 3.1 Higher-order partial derivatives
Fri 9/28 3.2 Taylor's theorem, 3.3 Maxima and minima
Mon 10/1 3.4 Constrained max-min problems
Wed 10/3 3.6 Applications
Fri 10/5 4.1 Acceleration
Mon 10/8 4.2 Arc length
Tues 10/9 FIRST MIDTERM - 7:00 - 8:30 p.m., Hicks 211
Wed 10/10 4.3 Vector fields
Fri 10/12 4.4 Divergence and curl
Mon 10/15 BREAK
Wed 10/17 BREAK
Fri 10/19 BREAK
Mon 10/22 5.1 Double and triple integrals
Wed 10/24 5.3 Double integral
Fri 10/26 5.4 Changing the order of integration
Mon 10/29 5.6 Triple integral
Wed 10/31 6.1 Geometry of maps
Fri 11/2 6.2 Change of variables
Mon 11/5 7.1 Path integrals
Wed 11/7 7.2 Line integrals
Fri 11/9 7.2 (continued)
Mon 11/12 7.3 Parametrized surfaces
Tues 11/13 SECOND MIDTERM - 7:00 - 8:30 p.m., Hicks 211
Wed 11/14 7.4 Surface area
Fri 11/16 7.5 Integrals over surfaces - scalar functions
Mon 11/19 7.6 Integrals over surfaces - vector functions
Wed 11/21 7.6 (continued)
Fri 11/23 BREAK
Mon 11/26 8.1 Green's theorem
Wed 11/28 8.2 Stokes' theorem
Fri 11/30 8.2 (continued)
Mon 12/3 8.3 Conservative vector fields
Wed 12/5 8.4 Gauss's theorem
Fri 12/7 8.5 Applications of integral theorems
Mon 12/10 TBD


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