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 | The midterm has been moved to Wednesday, 4/28. It will cover what we did in Chapters 12
and 13. You will get a review sheet with practice problems. |
| Second Homework is due Tuesday, 4/20. The problems from the book this relates to are as
follows:
Section 12.4: #4,7,10,12a,15,24,34,38
Section 12.5: #2,5,9,12,13,19,24,31,36,40,48,52,58,68
Section 12.6: #12,14,16,18,19,36,44,45 |
| The syllabus and the pdf files for homework are available on electronic reserves. Get
the password from me or think of a traditional german beverage you might consume at the
Oktoberfest. |
| Links to the applets are here:
1) vector sum
2) dot or scalar product
3) vector or cross
product
4) What good are dot
products? |
| DP Graph:
Planes: Intersection of the two planes
x+4y-3z=1 and -3x+6y+7z=0 ; The picture is here.
The parametric equation of the line (which is this intersection) is
x= 46t+ 1/3, y=2t+1/6, z= 18t ; The picture is here.
Cylinders and Quadric Surfaces:
a) The circular cylinder
x^2+y^2=1
b) The parabolic cylinder z=x^2
c) Ellipsoid
d) Elliptic Paraboloid
e) Hyperbolic Paraboloid
f) Cone
g) Hyperboloid of one sheet
h) Hyperboloid of two
sheets
i) Moving from
one sheet through a cone to two two sheets.
Polar Coordinates/Polar Curves:
a)Flower
b)Henri's Butterfly, again
c) Oscar's Butterfly
d) Lemniscate
e) Archimedean Spiral.
Cylindrical Coordinates/Spherical Coordinates:
a)Sphere in
spherical coordinates.
b)Vase in spherical
coordinates, on table
c)Hyperboloid of
two sheets, cylindrical coordinates
d)Cone in
cylindrical coordinates.
e)Cylinder
with cylindrical coordinates
f) Ellipsoid
with cylindrical coordinates.
Guess What?
a)guess?
Vector functions and space curves 1:
a) Helix r(t)=<cos
t, sin t, t> in box.
b) Helix r(t)=<cos
t, sin t, t> with x,y,z coordinate system
c) Semicubical Parabola r(t)=<t^3,
t^2> in the box
d) Semicubical
Parabola r(t)=<t^3, t^2> with x,y,z axis
e) Twisted Cubic r(t)=<t,
t^2, t^3> in the box
f) Twisted Cubic r(t)=<t,
t^2, t^3> together with the x,y,z axis (sans labels though)
g) Cylinder y=x^2 intersecting the cylinder z=x^3 has the twisted cubic as its intersection.
Vector functions and space curves 2:
a) Twisted Cubic pointwise
b) C1, C 2, both
c) Twisted Cubic with
tangent line. |
Follow the desired link on the left.
Old announcements:
First homework is due Friday, 4/9. That gives you some time to familiarize
yourself with the on-line grading system. The problems from the book this
relates to are as follows:
Section 12.1: #4,8,13,16,22,38
Section 12.2: #8,14,22,25,34,39
Section 12.3: #1,6,8,10,19,26,32,38,45,47
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