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)
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
Obituary of
George Dantzig (died May 2005); lots of info on 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
Sections 9.2 and 9.3 in Larson: Arithmetic and
Geometric Sequences, Partial Sums, and Series
Section 9.4 in Larson: Mathematical 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.
The Magic of Pascal's Triangle (Plinko from The
Price is Right and Word Jumbles)
QUINCUNX
("PLINKO") APPLETS AND SITES
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 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)