Math 251:F1, M-Th, 10:30am -12:25pm, ARC-333 (BUS), Summer 2024
Syllabus and General Information
Lecture | Date | Topic(s) and text sections | Suggested Practice Problems |
---|---|---|---|
1 | 6/24 | 12.1 3D coordinate systems 12.2 Vectors in 2D and 3D |
12.1/ #3,9,15,16,21,23,39,59 12.2/ #9,19,23,25,31,41,47 |
2 | 6/25 | 12.3 Dot Product and the Angle
Between Two Vectors 12.4 The Cross Product |
12.3/ #3,13,18,19,22 12.4/ #7,15,21,23,27,33,35,45 |
3 | 6/26 | 12.5 Planes in Three-Space 12.6 Cylinders and Quadric Surfaces |
12.5/ #6,6,9,23,27,31,37,41, 47, 57 12.6/ #1-12, 13, 15, 21, 25 |
4 | 6/27 | 13.1 Curves in Space and Their
Tangents 13.2 Calculus of Vector-Valued Functions Quiz 1 |
13.1/ #1,15,19,23, 31 13.2/ #3,5,8,11,15,19 |
5 | 7/01 | 13.3 Arc Length and Speed |
13.3/ #5,9,13,15 |
6 | 7/02 | 14.1 Functions of Two or More Variables 14.2 Limits and Continuity in Several Variables |
14.1/ #6,6,9,15-18,27,31,41,58,59 14.2/ #11,15,20-22,31,47,48,53,59 |
7 | 7/03 | 14.3 Partial Derivatives 14.4 The Chain Rule |
14.3/ #9,14-18,27,3046,67 14.4/ #7,28,29,33,39,44 |
8 | 7/08 | 14.5 The Gradient and Directional
Derivatives Quiz 2 |
14.5/ #3-6,9,10,21,28,29,31 |
9 | 7/09 | 14.6 Tangent Planes and
Differentials |
14.6/ #5,9,13,19,21,31 |
10 | 7/10 | 14.7 Optimization in Several Variables | 14.7/ #13,19,29,33,35,43,45,62 |
11 | 7/11 | 14.8 Lagrange Multipliers Review for Exam 1 | 14.8/ #1,5,9,13,17,21,29 |
12 | 7/15 | Exam 1 (80
min) on material covered in Lectures 1- 8 |
15.1/ #7,11,13,18,23,27,29,36 |
13 | 7/16 | 15.1 Double Integrals | 15.1/ #7,11,13,18,23,27,29,36 |
14 | 7/17 | 15.2 Double Integrals over General Regions | 15.2/ #1-8,12,15,18,23,29,35,38,43,53 |
15 | 7/18 | 15.3 Area by Double
Integration |
15.3/ #6-8,16,18,21 |
16 | 7/22 | 15.4 Integration
in Polar Coordinates Quiz 3 |
15.4/ #1-6,9,11,16,23,25,28,35 |
17 | 7/23 | 15.5 Triple Integrals in
Rectangular Coordinates |
15.5/ #3,6,17,21,27,28,37,45 |
18 | 7/24 | 15.7 Triple Integrals in Cylindrical and Spherical Coordinates | 15.7/ #3-7,13-17,25,31,38,47,59,65 |
19 | 7/25 | 15.8 Change of Variables in Multiple Integrals | 15.8/ #1,3,6,7,9 |
20 | 7/29 | 16.1 Line
Integrals of Scalar Functions 16.2 Vector Fields & Line Integrals: Work, Circulation, Flux Quiz 4 |
16.1/ #1-9,14,15,25,26,29,35,36 16.2/ #3,7,11,14,15,18,25,27,29,30,35,39,40,57,59 |
21 | 7/30 | 16.3 Conservative Vector Fields, Path Independence | 16.3/ #3,5,9,11,19,22,25,29,31 |
22 | 7/31 | 16.4 Green's Theorem in the
Plane Review for Exam 2 |
16.4/ #2,5,9,13,16,17,21,29,31,37 |
23 | 8/01 | Exam 2
(80 min) on material covered in Lectures 9 - 19 |
16.5/ #1,7,11,13,15,27,41,43 |
24 | 8/05 | 16.5 Surface and Area |
16.5/ #1,7,11,13,15,27,41,43 |
25 | 8/06 | 16.6 Surface Integrals |
16.6/#3,5,6,17,23,26,28,43 |
26 | 8/07 | 16.6 Surface Integrals | 16.6/#3,5,6,17,23,26,28,43 |
27 | 8/08 | 16.7 Stokes' Theorem Quiz 5 |
16.7/ #5,7,11,19,23,28 |
28 | 8/12 | 16.8 The Divergence Theorem | 16.8/ #9,11,13,15,27,28 |
29 | 8/13 | Review for the Final Exam | |
30 | 8/14 | Final exam |