A Möbius strip. Credit: David Benbennick, via Wikimedia Commons. Nykamp DQ, “Macroscopic and microscopic circulation.” From Math Insight.
Course Structure/ Grading Scheme
Department Course Pages:
All students are expected to thoroughly read the content of these pages:
Instructor Information:
Recitation Instructor Information:
Meeting times:
Lecture: Monday, Thursday 8:40 am- 10:00 am
Recitations: Wednesdays (click the link Zoom on the left side of your screen and select a correct link for your section, 01, 02 or 03).
Obtaining Access to Homework System
Getting started with MyLab:
Exam Dates (All midterms are scheduled on Mondays, 9:40-11pm):
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| Lecture Topics and Suggested Textbook Problems | |||
|---|---|---|---|
| Lecture | Topic(s) and text sections | Suggested Homework | |
| 1 | 12.1 Three Dimensional Coordinate Systems 12.2 Vectors |
12.1/ #3,9,15,16,21,23,39,59 12.2/ #9,19,23,25,31,41,47 |
|
| 2 | 12.3 The Dot Product 12.4 The Cross Product |
12.3/ #3,13,18,19,22 12.4/ #7,15,21,23,27,33,35,45 |
|
| 3 | 12.5 Lines and Planes in 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 | 13.1 Curves in Space and Their Tangents | 13.1/ #1,15,19,23, 31 | |
| 5 | 13.2 Integrals of Vector-Valued Functions, Projectile Motion | 13.2/ #3,5,8,11,15,19 | |
| Exam 1 (timing approximate!) | |||
| 6 | 13.3 Arc Length in Space 13.4 Curvature and Normal Vectors of a Curve (optional) |
13.3/ #5,9,13,15 13.4/ #7,9,12 |
|
| 7 | 14.1 Functions of Several Variables 14.2 Limits and Continuity in Higher Dimensions |
14.1/ #6,6,9,15-18,27,31,41,58,59 14.2/ #11,15,20-22,31,47,48,53,59 |
|
| 8 | 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 |
|
| 9 | 14.5 Directional Derivatives and Gradient Vectors 14.6 Tangent Planes and Differentials |
14.5/ #3-6,9,10,21,28,29,31 14.6/ #5,9,13,19,21,31 |
|
| Exam 2 (timing approximate!) | |||
| 10 | 14.7 Extreme Values and Saddle Points | 14.7/ #13,19,29,33,35,43,45,62 | |
| 11 | 14.8 Lagrange Multipliers | 14.8/ #1,5,9,13,17,21,29 | |
| 12 | 15.1 Double and Iterated Integrals Over Rectangles 15.2 Double Integrals over General Regions |
15.1/ #7,11,13,18,23,27,29,36 15.2/ #1-8,12,15,18,23,29,35,38,43,53 |
|
| 13 | 15.3 Area by Double Integration 15.4 Double Integrals in Polar Form |
15.3/ #6-8,16,18,21 15.4/ #1-6,9,11,16,23,25,28,35 |
|
| Exam 3 (timing approximate!) | |||
| 14 | 15.5 Triple Integrals in Rectangular Coordinates 15.6 Applications (Mass, Center of Mass) |
15.5/ #3,6,17,21,27,28,37,45 15.6/ #3,5,13 |
|
| 15 | 15.7 Triple Integrals in Cylindrical and Spherical Coordinates | 15.7/ #3-7,13-17,25,31,38,47,59,65 | |
| 16 | 15.8 Substitution in Multiple Integrals | 15.8/ #1,3,6,7,9 | |
| 17 | Catch up & Review | ||
| 18 | 16.1 Line Integrals of Scalar Functions | 16.1/ #1-9,14,15,25,26,29,35,36 | |
| 19 | 16.2 Vector Fields & Line Integrals: Work, Circulation, Flux | 16.2/ #3,7,11,14,15,18,25,27,29,30,35,39,40,57,59 | |
| 20 | 16.3 Path Independence, Conservative Fields, Potentials | 16.3/ #3,5,9,11,19,22,25,29,31 | |
| Exam 4 (timing approximate!) | |||
| 21 | 16.4 Green's Theorem in the Plane | 16.4/ #2,5,9,13,16,17,21,29,31,37 | |
| 22 | 16.5 Surfaces and Area | 16.5/ #1,7,11,13,15,27,41,43 | |
| 23 | 16.6 Surface Integrals | 16.6/#3,5,6,17,23,26,28,43 | |
| 24 | 16.7 Stokes' Theorem | 16.7/ #5,7,11,19,23,28 | |
| Exam 5 (timing approximate!) | |||
| 25 | 16.8 The Divergence Theorem & A Unified Theory | 16.8/ #9,11,13,15,27,28 | |
| 26 | Catch up & Review | ||
| 27-28 | Catch up & Review | ||
Image source:
Nykamp DQ, “Macroscopic and microscopic circulation.” From Math Insight. http://mathinsight.org/image/macroscopic_microscopic_circulation