Syllabus for Math 103.10 and Math 103.11, Fall 2001

[Note: The graphic is from the cover of the textbook, Calculus with Analytic Geometry, 5th ed., by C. H. Edwards and D. E. Penney, © 1998 by Prentice-Hall, Inc. The Readings listed in the Syllabus are section numbers in that text.]

Week
Dates
Topics
Readings
Activities
       
1
Aug. 27-31 Course organization, polar coordinates, parametric curves 10.2, 10.4 Maple Tutorial, Equiangular Spirals
       
2
Sep. 4-7 Vectors in the plane and space, dot product, vector-valued functions 12.1, 12.2 Vectors in Two and Three Dimensions, Parts 1-3,
Roulettes
       
3
Sep. 10-14 Cross product, lines and planes in space, arc length 12.3, 12.4, 12.5 Vectors in Two and Three Dimensions, Parts 4, 5
       
4
Sep. 17-21 Surfaces, cylindrical and spherical coordinates, graphs of functions of two variables 12.7, 12.8, 13.1, 13.2 Surfaces
       
5
Sep. 24-28 Partial and directional derivatives, local linear and quadratic approximations, the gradient 13.3, 13.4, 13.6, 13.8 Yosemite
       
6
Oct. 1-5 Review, start Take-Home Test 1 (Oct. 4)    
       
7
Oct. 8-12 Max-min problems, Chain rule, Lagrange multipliers 13.5, 13.7, 13.9 Contour Plots and Critical Points
       
Fall Break      
       
8
Oct. 17-19 Double integrals 14.1, 14.2, 14.3 Double Integrals I
         
9
Oct. 22-26 Double integrals in polar coordinates, triple integrals 14.4, 14.5, 14.6 Double Integrals II
       
10
Oct. 29-Nov. 2 Integration in cylindrical and spherical coordinates, parametric respresentations of surfaces 14.7, 14.8 Parametric Respresentations of Surfaces
       
11
Nov. 5-9 Review, start Take-Home Test 2 (Nov. 8), vector fields 15.1

 

       
12
Nov. 12-16

Line integrals

15.2, 15.3 Vector Fields and Line Integrals
       
13
Nov. 19-21 Green's Theorem 15.4  
       
Thanksgiving Break      
       
14
Nov. 26-30 Vector fields in space 15.5, 15.6, 15.7 Green's Theorem and the Planimeter
       
15
Dec 3-6 Review and evaluation    
       
16
Dec 10-15 Final Exam, Dec. 11, 2-5 pm    

Last update 11/8/01