Math 251:18-20  Fall 2019

             Syllabus and General Information    

Lecture Date Topic(s) and text sections Maple labs
1 09/03 12.1 Vectors in the Plane
12.2 Vectors in Three Dimensions		    Lab 0
2 09/05 12.3 Dot Product and the Angle Between Two Vectors
12.4 The Cross Product (begin)		  
3 09/10 12.4 The Cross Product
12.5 Planes in Three-Space		  
4 09/12 13.1 Vector-Valued Functions
13.2 Calculus of Vector-Valued Functions		    Lab 1
5 09/17 13.3 Arc Length and Speed
13.4 Curvature		  
6 09/19 14.1 Functions of Two or More Variables
14.2 Limits and Continuity in Several Variables		  
7 09/24 14.3 Partial Derivatives
14.4 Differentiability, Linear Approximation and Tangent Planes		  
8 09/26 14.5 The Gradient and Directional Derivatives    Lab 2
9 10/01 14.6 The Chain Rule  
10 10/03 14.7 Optimization in Several Variables  
11 10/08 14.8 Lagrange Multipliers: Optimizing with a Constraint
Review for Exam 1		  
12 10/10 Exam 1
13 10/15 15.1 Integration in Several Variables    Lab 3
14 10/17 15.2 Double Integrals over More General Regions  
15 10/22 15.3 Triple Integrals  
16 10/24 12.7 Cylindrical and Spherical Coordinates
15.4 Integration in Polar coordinates		  
17 10/29 15.4 Integration in Cylindrical, and Spherical Coordinates    Lab 4
18 10/31 15.6 Change of Variables  
19 11/05 16.1 Vector Fields  
20 11/07 16.2 Line Integrals  
21 11/12 16.3 Conservative Vector Fields
Review for Exam 2		  
22 11/14 Exam 2
23 11/19 16.4 Parameterized Surfaces and Surface Integrals Lab 5
24 11/21 16.5 Surface Integrals of Vector Fields  
25 11/26 17.1 Green's Theorem  
26 12/03 17.2 Stokes' Theorem  
27 12/05 17.3 Divergence Theorem  
28 12/10 Review for the Final Exam.