# MATH 223: Schedule and Supplemental Problems

The purpose of this page is to give you a tentative schedule and a list of supplemental problems.

 The schedule may change and is meant to be used as a rough guide of topics to be covered. The supplemental problems are completely optional and you will NOT hand them in. However, you are encouraged to work through as many of them as you can. You should work through them with other students. These are the exact problems I have assigned in some previous semesters, and they provide a good example of problems that will be on the exams. Your homework grade will be based on the Webwork Assignments, not the supplemental exercises. Reading the textbook is required, NOT optional. Your chances of getting a good grade in this course are infinitesimally small unless you read the textbook in addition to attending lectures.

UPDATED: Tuesday, January 15, 2013 at 14:17
Week Lecture Topics Supplemental Problems Reading Assignment
1
Course Overview
Sec. 12.1: 3-Dim. Coordinate System
Sec. 12.2: Vectors
Sec. 12.1: 1-65 (odd)
Sec. 12.2: 1-49 (odd)
Review Derivatives and Integration
2
12.3: Dot Products
12.4: Cross Products
12.5: Equations of Lines
Sec. 12.3: 1-17, 23, 41-49 (odd)
Sec. 12.4: 1-47 (odd)
Sec. 12.5: 1-19, 33-37 (odd)
3
12.5: Equations of Planes
15.7: Cylindrical and Spherical Coordinates
Sec. 12.5: 21-31, 39-47, 53-59 (odd)
Sec. 12.6: 1-52 (odd)
4
Exam 1 is on Thursday, February 14: The exam will cover Sections 12.1-12.6 and Cylindrical/Spherical Coordinates, which can be found at the beginning of Section 15.7 of the textbook. It will be similar to the homework. To practice for the exam, review the WeBWorK problems, do some of the supplemental problems listed above, and know all of the definitions and useful theorems. We will have a review in class on Tuesday.
13.1: Vector Functions, Curves, and Tangents Sec. 13.1: 1-25 (odd)
5
13.2: Integrals of Vector Functions
13.3: Arc Length
13.4: Curvature
Sec. 13.2: 1-37 (odd)
Sec. 13.3: 1-15 (odd)
Sec. 13.4: 1-15, 27-33 (odd)
6
13.5: Tangent, Normal, and Binormal Vectors
14.1: Multivariable Functions
14.2: Limits and Continuity
Sec. 13.5: 7-13 (odd)
Sec. 14.1: 1-63 (odd)
Sec. 14.2: 1-57 (odd)
7
14.3: Partial Derivatives
14.4: Chain Rule
Sec. 14.3: 1-55, 65 (odd)
Sec. 14.4: 1-11, 25-37 (odd)
Sec. 14.5: 1-35 (odd)
8
14.6: Tangent Planes and Linearization Sec. 14.6: 1-11, 25-29, 39-43 (odd)
Exam 2 is on Thursday, March 14: The exam will cover Sections 13.1-13.5, 14.1-14.5 of the textbook. It will be similar to the homework. To practice for the exam, review the WeBWorK problems, do some of the supplemental problems listed above, and know all of the definitions and useful theorems. We will have a review in class on Wednesday.
Break
Spring Break: No classes, March 18-22.
STUDY ALL WEEK...Yeah right!
Have a great and safe break!
9
14.8: Lagrange Multipliers
Sec. 14.7: 1-41, 47-59 (odd)
Sec. 14.8: 1, 3, 7-29 (odd)
10
15.1: Double Integrals over Rectangles
15.2: Double Integrals over General Regions
15.3: Area and Average Value
Sec. 15.1: 1-27 (odd)
Sec. 15.2: 1-65 (odd)
Sec. 15.3: 1-21 (odd)
11
15.4: Double Integrals in Polar Form
15.5: Triple Integrals in Rectangular Coordinates
15.6: Moment and Center of Mass
Sec. 15.4: 1-37 (odd)
Sec. 15.5: 1-43 (odd)
Sec. 15.6: 1-19 (odd)
12
15.7: Triple Integrals with Cylindrical and Spherical Coordinates Sec. 15.7: 1-65 (odd)
GREAT Day: No Class on Tuesday, April 16.
Exam 3 is on Thursday, April 18: The exam will cover Section 14.6-14.8, and 15.1-15.6 of the textbook. It will be similar to the homework. To practice for the exam, review the WeBWorK problems, do some of the supplemental problems listed above, and know all of the definitions and useful theorems. We will have a review in class on Wednesday.
13
15.8: Substitution for Multiple Integrals
16.1: Line Integrals
16.2: Vector Fields
Sec. 15.8: 1-9, 13-19 (odd)
Sec. 16.1: 1-31 (odd)
Sec. 16.2: 1-53 (odd)
14
16.2: Line Integrals of Vector Fields
16.3: Fundamental Theorem of Calculus for Line Integrals
16.4: Green's Theorem and Divergence
Sec. 16.3: 1-11, 19-31 (odd)
Sec. 16.4: 1-15, 19-27 (odd)
15
16.5: Surface Area
16.7: Curl
Sec. 16.5: 1-31 (odd)
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