Math 251:C2, M-Th, 12:20-02:20pm

          Syllabus and General Information,  Summer  2021

 


Lecture Date Topic(s) and text sections
1 6/01 12.1 3D coordinate systems
12.2 Vectors in 2D and 3D
2 6/02 12.3 Dot Product and the Angle Between Two Vectors
12.4 The Cross Product
3 6/03 12.5 Planes in Three-Space
12.6 Cylinders and Quadric Surfaces
4 6/07 13.1 Curves in Space and Their Tangents
13.2 Calculus of Vector-Valued Functions
5 6/08 13.3 Arc Length and Speed
6 6/09 14.1 Functions of Two or More Variables
14.2 Limits and Continuity in Several Variables 
7 6/10 14.3 Partial Derivatives 
14.4 The Chain Rule Assign Lab 1
8 6/14 14.4 The Chain Rule
14.5 The Gradient and Directional Derivatives
Review for the Exam 1
9 6/15 Exam 1
14.5 The Gradient and Directional Derivatives
10 6/16 14.6 Tangent Planes and Differentials
11 6/17 14.7 Optimization in Several Variables
12 6/21 14.8 Lagrange Multipliers
13 6/22 15.1 Integration in Several Variables
14 6/23 15.2 Double Integrals over  General Regions
15 6/24 15.3 Area by Double Integration
16 6/28 15.4 Integration in Polar Coordinates  Review for Exam 2
17 6/29  Exam 2
15.5 Triple Integrals in Rectangular Coordinates
18 6/30 15.7 Triple Integrals in Cylindrical and Spherical Coordinates
19 7/01 15.8 Substitution in Multiple Integrals  Assign Lab 2 (Lab 1 is due)
20 7/06 16.1 Line Integrals of Scalar Functions
21 7/07 16.2 Vector Fields & Line Integrals: Work, Circulation, Flux
22 7/08 16.3 Conservative Vector Fields, Path Independence Assign Lab 3 (lab 2 is due)
23 7/12 16.4 Green's Theorem in the Plane
24 7/13 16.5 Surface and Area  Review of the Exam 3
25 7/14 Exam 3  16.6 Surface Integrals
26 7/15 16.6 Surface Integrals. Lab 3 is due
27 7/19 16.7 Stokes' Theorem
28 7/20 16.8 The Divergence Theorem
29 7/21 Review for the Final  Exam
30 7/22 Final exam: 12:20 - 3:20pm EDT