MA 2233 Lecture 16 - Best Fit Linear and Quadratic Functions
Monday, October 8, 2012.
Objectives: Prepare for Second Derivative Test
Best Fit Linear Functions
Given a function z = f(x, y) and a point (x0 , y0 , f(x0 , y0 ) on the graph of this function, t
MA 2233 Lecture 18 - More on Quadratic Surfaces
Monday, October 15, 2012.
Objectives: Continue behavior of quadratics around vertices.
That pesky xy-term
In the examples of quadratic functions weve looked at, Ive conveniently left out the xy-term. What do
MA 2233 Lecture 19 - More on quadratics and 2nd derivative test
Wednesday, October 17, 2012.
Objectives: Continue behavior of quadratics around vertices and introduce 2nd derivative test.
The Theorem
OK. Youve been completing the square on quadratic funct
MA 2233 Lecture 20 - Practice 2nd Derivative Test
Friday, October 19, 2012.
Objectives: Continue behavior of quadratics around vertices and introduce 2nd derivative test.
Here are some examples of nding critical points and using the 2nd Derivative Test.
E
MA 2233 Practice Final, Part II
Name
12/7/12
Practice Test I
2.
The following Maple program does the computation 2 + 4 + 6 + 8 (as well as output the values of i).
s:=0
for i from 1 by 1 to 4
do
i;
s:=s+2*i;
od;
How would you change the program so that it
MA 2233 Lecture 17 - Completing the Square
Friday, October 12, 2012.
Objectives: Investigate behavior around critical points
Graphs of Quadratic Functions
A generic quadratic function in two variables looks something like this.
(1)
q (x, y) = ax2 + bxy +
MA 2233 Practice Final, Part I
Name
12/6/12
1.
Evaluate the double integral
2.
Evaluate the double integral
to the left, and the line y = 4.
2
0
3
x
1
R
+ y2 dy
dx.
x2 y2 dA, where R is the region bounded by y = x2 below, the y-axis
3.
Convert the followi