Math 251 Syllabus and General Information Fall 2017
Lecture  Date  Topic(s) and text sections  Maple labs 

1  09/05  12.1 Vectors in the Plane 12.2 Vectors in Three Dimensions 
Lab 0 
2  09/08  12.3 Dot Product and the Angle Between Two
Vectors 12.4 The Cross Product 

3  09/12  12.5 Planes in ThreeSpace  
4  09/15  13.1 VectorValued Functions 13.2 Calculus of VectorValued Functions 
Lab 1 
5  09/19  13.3 Arc Length and Speed 13.4 Curvature 

6  09/22  14.1 Functions of Two or More Variables 14.2 Limits and Continuity in Several Variables 

7  0926  14.3 Partial Derivatives 14.4 Differentiability, Linear Approximation and Tangent Planes 

8  09/29  14.5 The Gradient and Directional Derivatives  Lab 2 
9  10/03  14.6 The Chain Rule  
10  10/06  14.7 Optimization in Several Variables  
11  10/10  14.8 Lagrange Multipliers: Optimizing with a Constraint  
12  10/13  Exam 1  
13  10/17  15.1 Integration in Several Variables  Lab 3 
14  10/20  15.2 Double Integrals over More General Regions  
15  10/24  15.3 Triple Integrals  
16  10/27  12.7 Cylindrical and Spherical Coordinates  
17  10/31  15.4 Integration in Polar, Cylindrical, and Spherical Coordinates  Lab 4 
18  11/03  15.6 Change of Variables  
19  11/07  16.1 Vector Fields  
20  11/10  16.2 Line Integrals  
21  11/14  16.3 Conservative Vector Fields  
22  11/17  Exam 2  
23  11/22  16.4 Parameterized Surfaces and Surface Integrals  Lab 5 
24  11/28  16.5 Surface Integrals of Vector Fields  
25  12/01  17.1 Green's Theorem  
26  12/05  17.2 Stokes' Theorem  
27  12/08  17.3 Divergence Theorem  
28  12/12  Review for the inal Exam. 