MATH 252: NOTES FOR QUIZ 1

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:

Normal line to a plane:

Try using your mouse to rotate.

Section 14.6 of Swokowski : Surfaces in 3D

• SOME NICE MATHEMATICA GRAPHICS FOR 14.6:

Look under Section 13.6:

A nice page on quadric surfaces:

You can rotate the figures by clicking on them and dragging with your mouse!

Another nice page on quadric surfaces:

REVIEW: CHAPTER 12 COVERED CONICS:

Free 3D Visualization Software with Built-in Graphs (3D-XplorMath for Macs; Great Galleries for all computers)

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