**MATH 141 - PRECALCULUS**

** NOTES FOR THE FINAL**

** OUTLINE FOR THE FINAL: **Math141OutlineFinal.pdf

**BIG FILES:**** **Chapter 7
Chapter 8
Chapter 9 (see
Pascal Triangle Links below)
Chapter 10 (mostly
handwritten)

**
CORRECTIONS: **Page 8.58 (top): Pierre [not George] Sarrus. Page 8.60 (middle): lower left [not right]
corner.

**VIDEOS AND WEB LINKS: SEE
BELOW**

**SMALLER FILES (if you cant get
the big files)**

**Chapter 7:
Systems and Inequalities**

Sections 7.1-7.3 in Larson:
Systems of Equations

Section 7.4 in
Larson: Partial Fractions

Sections 7.5-7.6 in Larson:
Graphing Inequalities and Linear Programming

**Chapter 8:
Matrices and Determinants**

Section 8.1 in Larson: Matrices
and Systems of Equations

Smaller files for
older computers:

Section 8.2 in Larson: Matrix
Operations

Section 8.3 in Larson: Matrix
Inverses

Section 8.4 in Larson:
Determinants

Section 8.5 in Larson:
Applications of Determinants

**Chapter 9:
Discrete Math**

Sections 9.1 and 9.6 in Larson:
Sequences, Series, and Counting

**
FIBONACCI SCULPTURE: **http://sfglobe.com/2015/01/14/3d-printed-sculptures-look-alive-when-spun-under-a-strobe-light/

**
FIBONACCI TED TALK BY PROF. ARTHUR BENJAMIN: **https://www.youtube.com/watch?v=SjSHVDfXHQ4

Sections 9.2 and 9.3 in Larson:
Arithmetic and Geometric Sequences, Partial Sums, and Series

** QIX
AND FILLING IN A BOX (GEOMETRIC SERIES TALK)**

**
Sample game: **https://www.youtube.com/watch?v=Wvzyd0OZg1I

**
Winner! (2x) **https://www.youtube.com/watch?v=RGSPj3vlR6M

Section 9.4 in Larson:
Mathematical Induction

** THE
HEART OF INDUCTION: **https://www.youtube.com/watch?v=p_E3feHZtZM

**
HANDSHAKE PROBLEM: **https://www.youtube.com/watch?v=dIejOnMP20c

Section 9.5 in Larson: Binomial
Theorem

**The Beauty of
Pascal's Triangle**

http://www.mathsisfun.com/pascals-triangle.html

See also __Chaos
and Fractals__ by Peitgen, et al.

http://en.wikipedia.org/wiki/Pascal's_triangle

The Magic of Pascal's
Triangle (Plinko from *The Price is Right*
and Word Jumbles)

**QUINCUNX
("PLINKO") APPLETS AND SITES**

** ***The Price
is Right / Plinko** *winner (the
Plinko board is in the second half): http://www.youtube.com/watch?v=vuMir11YFPs.
What does this have to do with Pascals triangle? See the links above!

http://www.jcu.edu/math/isep/Quincunx/Quincunx.html** **(This applet's better.)

http://www.ms.uky.edu/~mai/java/stat/GaltonMachine.html

http://en.wikipedia.org/wiki/Bean_machine** **(Wikipedia article)

http://en.wikipedia.org/wiki/Quincunx** **(Wikipedia article)

**Chapter 10:
Conics and Polar Coordinates**

**
ANIMATION ON CONICS**

https://www.youtube.com/watch?v=HO2zAU3Eppo

Corrections: (0:48-1:07) The
double-nappe cone (or simply cone) here should not
be thought of as finite, so there are no bases and there is no base
perimeter. The term directrix is used elsewhere, especially when describing
parabolas.

Chapter 10 in Larson: Ellipses
(handwritten) and Hyperbolas (typed)

Section 10.4 in Larson:
More on Hyperbolas (handwritten)

Sections 10.7 and 10.8 in Larson:
Polar Coordinates and Polar Graphs (handwritten)