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.pdfMath252Hyperboloid1.pdfMath252Morph.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 Review

Quiz 1 (Chapter 14) Notes: 65 pages total (3.9 MB) plus bonus 14.6 Mathematica graphics (9 pages); (4.9 MB total)

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