14.1 Functions of Two or More Variables
A. Understand the notation of functions of several variables.
B. Identify the domain and range of functions of several variables.
C. Sketch the graph of a function of two variables.
D. Represent a function of two/three variables using level curves/surfaces.
Homework Assignment: 1,2,7,9,16,20,24b,27,28,29,36,37,39,43,45,49,53,56
Outcome mapping:
A. 1-18, 63
B. 19-24
C. 25-34, 61, 62, 64
D. 35-62
14.2 Limits and Continuity
A. Determine if a function is continuous at a given point.
B. Evaluate the limit of a function of two or three variables along a given parametric
curve.
C. Evaluate the limit of a function of two variables by determining if the function is
continuous.
D. Determine if a limit exists by looking at continuity of the function and limits
along curves.
E. Understand the deﬁnition of continuity of a function over a set.
Homework Assignment: 1-25 odd, 29-35 odd, 41, 43
Outcome Mapping:
A. 30-32
B. 7-12
C. 1-6
D. 13-29
E. 33-44
14.3 Partial Derivatives
A. Interpret the deﬁnition of a partial derivative of a function using slope or as a
rate of change.
B. Evaluate the partial derivative of a function of several variables.