MATH 252: NOTES FOR QUIZ 1
TABLE OF CONTENTS (under construction)
BIG FILE: Chapter 14 notes (handwritten); see 14.3 correction below
SMALLER FILES (if you can’t get the big file):
CHAPTER 14: VECTORS AND SURFACES
Section 14.1 of Swokowski
: Vectors in 2D (last revised 8/5/07)
Typed Precalculus (Math 141) notes:
Section 6.3 in Larson:
Vectors in the Plane
Section 14.2 of Swokowski
: Vectors in 3D (last revised 8/5/07)
Section 14.3 of Swokowski
: Dot (Inner) Product (last revised 8/5/07)
Typed Precalculus (Math 141) notes:
Section 6.4 in Larson:
Vectors and Dot Products
Correction to Notes (14.3.1):
Replace line 3 of the proof with:
= (ca1)b1 + (ca2)b 2 + (ca3)b 3
= c(a1b 1) + c(a2b 2) + c(a3b 3)
Section 14.4 of Swokowski
: Cross (Vector) Product (last revised 8/5/07)
Section 14.5 of Swokowski
: Lines and Planes (last revised 8/7/07)
Line swept out using a vector-valued position
function:
http://math.bu.edu/people/paul/225/3Danimated_line2.html
Normal line to a plane:
Try using your mouse to rotate.
http://math.bu.edu/people/paul/225/EqnPlane.html
Section 14.6 of Swokowski
: Surfaces in 3D
• SOME NICE MATHEMATICA GRAPHICS FOR 14.6:
Math252Saddle.pdf
… Math252Hyperboloid1.pdf … Math252Morph.pdf
Look under Section 13.6:
http://www.grossmont.edu/jennyvandeneynden/archive/M281_links.htm
A nice page on quadric surfaces:
You can rotate the figures by clicking on them and
dragging with your mouse!
http://www2.norwich.edu/frey/LiveGraphics3D/QuadricSurfaces.htm
Another nice page on quadric surfaces:
http://www.frontiernet.net/~imaging/quads.html
REVIEW: CHAPTER 12 COVERED CONICS: Chapter 12 notes
Free 3D Visualization Software with Built-in
Graphs (3D-XplorMath for Macs; Great Galleries for all computers)
http://rsp.math.brandeis.edu:16080/3D-XplorMath
Quiz 1 (Chapter 14) Notes: 65 pages total (3.9 MB) plus bonus 14.6 Mathematica graphics (9 pages); (4.9 MB total)