The following is a list of worksheets and other materials related to
Math 223 at the UA. Your instructor might use some of these in class. You may also
use any of these materials for practice.
The chapter headings refer to Calculus, Fourth Edition by McCallum et. al. Published by Wiley.
CHAPTER 12 - Functions of Several Variables
- Surfaces - Matching equations and graphs. The first page contains important surfaces that are used often in this course. The second page is an exercise in matching more elaborate equations and graphs. pdf
CHAPTER 13 - A Funcdamental Tool: Vectors
- Intro to Slicing - How slicing can be used to construct a Riemann sum or definite integral. pdf doc
CHAPTER 14 - Differentiating Functions of Several Variables
- Geometric Series - Additional practice with geometric series. pdf doc
CHAPTER 15 - Optimization: Local and Global Extrema
- Slopefields - Matching slopefields with differential equations. pdf
CHAPTER 16 - Integrating Functions of Several Variables
- Taylor Polynomials & series - How well do Taylor polynomials approximate functions values? pdf doc
CHAPTER 17 - Parameterization and Vector Fields
- Slopefields - Matching slopefields with differential equations. pdf
CHAPTER 18 - Line Integrals
- Slopefields - Matching slopefields with differential equations. pdf
CHAPTER 19 - Flux Integrals
- Slopefields - Matching slopefields with differential equations. pdf
CHAPTER 20 - Calculus of Vector Fields
- Slopefields - Matching slopefields with differential equations. pdf