MATH 141: NOTES FOR THE FINAL

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

Obituary of George Dantzig (died May 2005); lots of info on linear programming

Math141Dantzig.pdf

Chapter 8: Matrices and Determinants

Section 8.1 in Larson: Matrices and Systems of Equations

Smaller files for older computers:

Part 1

Part 2

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

From Chaos and Fractals by Peitgen, et al: Patterns in Pascal's Triangle

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

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)

OUTLINE FOR FINAL

Math141OutlineFinal.pdf

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