MATH 141 - PRECALCULUS

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• 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 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

Part 1

Part 2

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:

Part 1

Part 2S

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 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

• 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)

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