MATH 223: Schedule and Supplemental Problems

The purpose of this page is to give you a tentative schedule for the semester.

  • The schedule may change and is meant to be used as a rough guide of topics to be covered.
  • Your homework grade will be based on the Webwork Assignments.
  • Reading the textbook is highly recommended. While having the textbook is not required, it is a great resource, and it provides more examples and a possibly different explanation from what you'll hear in class.
UPDATED: Monday, January 20, 2020 15:38
Week Lecture Topics
1
 Course Overview
3-Dim. Coordinate System
Vectors
2
 Dot Products
Cross Products
Equations of Lines
3
 Equations of Planes
Cylinders and Quadric Surfaces
Cylindrical and Spherical Coordinates
4
 Vector Functions, Curves, and Tangents
Integrals of Vector Functions
Arc Length
5
 Curvature
Tangent, Normal, and Binormal Vectors
6
 Multivariable Functions
Limits and Continuity
7
 Partial Derivatives
Chain Rule
8
 Directional Derivatives and Gradients
Tangent Planes and Linearization
9
 Extreme Values and Saddles
Lagrange Multipliers
10
 Double Integrals over Rectangles
Double Integrals over General Regions
Area and Average Value
11
 Double Integrals in Polar Form
Triple Integrals in Rectangular Coordinates
Moment and Center of Mass
12
 Triple Integrals with Cylindrical and Spherical Coordinates
13
 Substitution for Multiple Integrals
Line Integrals
Vector Fields
14
 Line Integrals of Vector Fields
Fundamental Theorem of Calculus for Line Integrals
Green's Theorem and Divergence
15
 Surface Area
Curl
SOFI's
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Final
Exam
*** Final Exam ***

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 midterm exams and the new material. 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.