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 Three-Space  
4 09/15 13.1 Vector-Valued Functions
13.2 Calculus of Vector-Valued 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.