**MATH
141 - PRECALCULUS**

Email me … MATH 141 HOME … HOME

**• 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 (Part 1:
Conics) … Chapter 10 (Part 2:
Polar Curves) (partly handwritten)

• The handwritten notes on Chapter 10 are
more concise:

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 can’t 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

**• KHAN ACADEMY ON INDUCTION: **https://www.khanacademy.org/math/algebra-home/alg-series-and-induction/alg-induction/v/proof-by-induction

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 Pascal’s 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**

Chapter 10 (Part 1:
Conics) … Chapter 10 (Part 2:
Polar Curves) (partly handwritten)

**• 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.

**OLDER NOTES**

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)

CHAPTER 10:
TYPED NOTES ON PARABOLAS (OPTIONAL) AND POLAR CURVES (REQUIRED)