MA 280-Assignment #4: Gradients . Due 12-12-2015 (at midnight)
Recall the gradient of a function (, ) is the vector valued function (, ) =< , >.
The gradient of a function can be computed using the MATLAB function jacobian.
Example 1
The gradient of (, )
NAME: JIUSHU HE
COURSE: MATH280
CRN: 23986
MATLAB ASSIGNMENT 4
Exercise MA 280-4A
Use the second derivative test to classify the critical points of 3^2+^33^23^2+2.
Exercise MA280-4B
Let (,)=5104^2+3^4. We can use MATLAB to find the critical points of :
If
MATH 280-Assignment #3: VECTOR FUNCTIONS AND SPACE CURVES
The objective of this assignment is to visualize the tangent vector of a space curve at a
specific point. The following sequence of examples illustrate the procedure.
Example 1
Consider the vector
NAME: JIUSHU HE
COURSE: MATH280
CRN: 23986
MATLAB ASSIGNMENT 3
Exercise MATH 280-3 Due Monday November 9
Consider the vector function ()=<sin(2),cos(2),>, 02. We can use plot3 to generate the
graph of ():
Write ()=<(),(),()> where ()=in(
),()=os(
),and ()
MA 280-Assignment #1:
VECTORS AND THE GEOMETRY
OF SPACE- Part I
The quiver command allows us to draw vectors in the plane
For instance, if we wish to draw the two vectors a <2,3>
and place them at the points
(0, 0)
and
(0, 1)
in
R
2
R
2
and
:
b= 1,4>
, th
NAME: JIUSHU HE
COURSE: MATH280
CRN: 23986
MATLAB ASSIGNMENT 1
Let
the point C is (month, day) where month and day
are the month and day of your birthday (December 27th).
1. Use MATLAB to draw the vectors
. The three
vectors must be placed at the point A.
MA 280-Assignment #2:
VECTORS AND THE GEOMETRY
OF SPACE- Part II
Example 1
We can use the dot product command to write an equation of the plane
through the point (2, 4, -1) with normal vector n= 2,3,4> :
Thus the equation of the desired plane is
T =0
or
2
NAME: JIUSHU HE
COURSE: MATH280
CRN: 23986
MATLAB ASSIGNMENT 2
Exercise MA 280-2 Due October 19
Use MATLAB to
a. Plot the planes x+ yz=2 and 2 x y+ 3 z=1 on the
same figure
b. Find two points on the line of intersection of the
planes in part(a)
c. Plot th
Worksheet 4 - Assignment (contributes 5% of your final grade)
Instructions: Some of the answers are given below, but you need to show all your work for
questions if you are instructed to do so. NO Work NO CREDIT. -Due date: December 8,
2016.
1. Which of t
Math 280-DL Exam 2
90 minutes
/ 5
Name )fn
Instructions. Do 311 parts of all problems. Show all work for maximum credit. You
may use a calculator. Be thorough in your explanations. No cheating-
1) Answer each of the following true or false, giving e
Math 280-DL Exam 3
90 minutes
Name . t
Instructions. Do all parts of all problems. Show all work for maximum credit. You
may use a calculator. Be thorough in your explanations. No cheating.
1) AHSWer each of the following true or false, giving expl
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