Copyright © Cengage Learning. All rights reserved. 9 Sequences, Series, and Probability.
Courant and all that Consistency, Convergence Stability Numerical Dispersion Computational grids and numerical anisotropy The goal of this lecture is to.
The Binomial Theorem Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Binomial Expansions The binomial theorem provides.
11.7. There are n+1 terms Functions of n Exponent of a in first term Exponent of b in last term Other terms Exponent of a decreases by 1 Exponent of b.
10.2 Combinations and Binomial Theorem What you should learn: Goal1 Goal2 Use Combinations to count the number of ways an event can happen. Use the Binomial.
§ 11.4 The Binomial Theorem. Blitzer, Intermediate Algebra, 5e – Slide #2 Section 11.4 The Binomial Coefficient In this section, we look at methods for.
7.4 - 1 Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 Row 0 1 2 3 4 5.
Lecture 6: Dynamic Programming 0/1 Knapsack Making Change (any coin set)
A Generalization of Forward-backward Algorithm Ai Azuma Yuji Matsumoto Nara Institute of Science and Technology.
COMP 170 L2 Page 1 L03: Binomial Coefficients l Purpose n Properties of binomial coefficients n Related issues: the Binomial Theorem and labeling.
Copyright © 2007 Pearson Education, Inc. Slide 8-1 Warm-Up Find the next term in the sequence: 1, 1, 2, 6, 24, 120,…
Chapter 8 Counting Techniques. 2 8.1 PASCAL’S TRIANGLE AND THE BINOMIAL THEOREM.