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
Read Sections 12.1-12.2
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)
Read Sections 12.3-12.5
3
 12.5: Equations of Planes
12.6: Cylinders and Quadric Surfaces
15.7: Cylindrical and Spherical Coordinates		 Sec. 12.5: 21-31, 39-47, 53-59 (odd)
Sec. 12.6: 1-52 (odd)
Read Sections 12.5-12.6
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.
Read Chapter 12
13.1: Vector Functions, Curves, and Tangents Sec. 13.1: 1-25 (odd)
Read Sections 13.1-13.2
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)
Read Sections 13.2-13.4
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)
Read Sections 13.5, 14.1-14.2
7
 14.3: Partial Derivatives
14.4: Chain Rule
14.5: Directional Derivatives and Gradients		 Sec. 14.3: 1-55, 65 (odd)
Sec. 14.4: 1-11, 25-37 (odd)
Sec. 14.5: 1-35 (odd)
Read Sections 14.3-14.5
8
 14.6: Tangent Planes and Linearization Sec. 14.6: 1-11, 25-29, 39-43 (odd)
Read Section 14.6
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.
Read Chapters 13-14
Break
Spring Break: No classes, March 18-22.
STUDY ALL WEEK...Yeah right!
Have a great and safe break!
9
 14.7: Extreme Values and Saddles
14.8: Lagrange Multipliers		 Sec. 14.7: 1-41, 47-59 (odd)
Sec. 14.8: 1, 3, 7-29 (odd)
Read Sections 14.7-14.8
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)
Read Sections 15.1-15.3
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)
Read Sections 15.4-15.6
12
 15.7: Triple Integrals with Cylindrical and Spherical Coordinates Sec. 15.7: 1-65 (odd)
Read Section 15.7-15.8
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.
Read Chapter 14-15
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)
Read Sections 16.1-16.2
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)
Read Sections 16.2-16.4
15
 16.5: Surface Area
16.7: Curl		 Sec. 16.5: 1-31 (odd)
Read Sections 16.5,16.7
SOFI's
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Tuesday, May 7
Final
Exam
*** Final Exam ***
Thursday, May 9, 3:30-6:30 pm, in class (Welles 128)

The Final Exam will be partially cumulative, but the majority of the exam will cover the material after the last midterm exam. To prepare for the exams, study your 3 midterm exams and sections 15.1-15.8, 16.1-16.5 of the textbook. For the older material, focus on True/False questions, curvature, gradients, directional derivatives, classification of critical points, and double integrals. Know all of the newer material, beginning with triple integrals. The exam will be similar to the homework. For practice problems, review the WeBWorK problems and do some of the supplemental problems listed above.
Read Chapters 12-16