Mathematics 103L.02, Fall 1997
Syllabus

Day     Topic                                           Reading                          









9/3 Organization, parametric curves Section 12.1 9/5 Vectors Section 12.3 9/8 More vectors, parametric equations Section 12.4 (to p. 39) Section 12.5 9/9 Lab: Maple Tutorial 9/10 Polar coordinates Section 12.6 9/12 The dot product Section 12.7 9/15 Roulettes Project Ch. 12, Pr. 1 9/16 Lab 26: Parametric Plots 9/17 Vectors in space Section 13.1 9/19 Cylindrical, spherical coordinates Section 13.2 9/22 Planes, cross product Section 13.3 9/23 Lab 27: The Equiangular Spiral 9/24 Surfaces, level curves Section 13.4 9/26 Partial derivatives Section 14.1 9/29 Directional derivatives Section 14.2 9/30 Lab 28: Experiments with Partial Derivatives 10/1 Gradient, Chain Rule Section 14.3 10/3 Yosemite Project Ch. 14, Pr. 1 10/6 Review handout 10/7 Lab 29: Critical Points and Quadric Surfaces I 10/8 Test #1 10/10 Unconstrained optimization Section 14.5
10/13   Fall Break
10/15   Second derivative test                          Section 14.5                                         handout
10/17   Constrained optimization                        Section 14.6
10/20   Volume of a solid                               Section 15.1
10/21   Lab 31a: Critical Points and Quadric Surfaces II
10/22   Double integrals                                Section 15.2
10/24   Centers of mass (2D)                            Section 15.3
10/27   Surface area                                    Section 15.4
10/28   Lab 33: Numerical Double Integrals 
10/29   Triple integrals                                Section 15.5
10/31   Cylindrical and spherical coordinates           Section 15.6
11/3    Open
11/4    Lab 34: Double Integrals, II 
11/5    Vector fields                                   Section 16.1
11/7    Gradient fields                                 Section 16.2
11/10   Review
11/11   Open
11/12   Test #2
11/14   Line integrals                                  Section 16.3   
11/17   Fundamental Theorem for Line Integrals          Section 16.3
11/18   Lab 36: Conservative Vector Fields              
11/19   Work                                            Section 16.3
11/21   Green's Theorem                                 Section 16.4
11/24   Green's Theorem                                 Section 16.4
11/25   Lab 37: Vector Field Rotation
11/26   Integrals with respect to arc length            Section 16.5
11/28   Thanksgiving Break
12/1    Green's Theorem again                           Section 16.5
12/2    Line Integrals in space                         handout
12/3    Surface Integrals                               handout
12/5    3D versions of Green's Theorem                  handout
12/8    Review
12/10   Evaluation


Lawrence C. Moore < lang@math.duke.edu>

Last modified: August 25, 1997