MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 34, Friday, November 21.

Slides:

Advertisements

Similar presentations

Advertisements

Find the prime factors of 18.

Completing the Square This is an x.Show me x 2. x x 2 Show me x 2 + 6x.

MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 19, Friday, October 17.

Poster Title 95 point, Arial font Primary heading Xx xxx x xx xxxxx xx xxxx xxx xx xx x x xxxxx xxxx xx xxxxx xx xxxxxx xxx xx. X xx xxxx xxxxx xx xxxx.

MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 26, Monday, November 3.

MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 22, Friday, October 24.

MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 27, Wednesday, November 5.

MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 16, Monday, October 6.

For Next Looping My first Looping Structure. For…Next FOR counter_variable = initial_value TO end_value STEP increment Statement-1 Statement-2 ……. Statement-n.

MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 25, Friday, October 31.

THIS IS THE TITLE OF MY POSTER. THIS IS THE TITLE OF MY POSTER NAMES, NAMES, & NAMES This is my abstract. This is my abstract. This is my abstract. This.

MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 36, Monday, December 1.

Exponential Generating Function

MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 21, Wednesday, October 22.

Firstname Lastname Nationality: XXXXXXX • Address

MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 38, Friday, December 5.

MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 20, Monday, October 20.

Presenter Name Presentation/event title xxxxx

TRABAJOS DE FOTOGRAFIA

MULTIPLES OF 2 By Preston, Lincoln and Blake. 2 X 1 =2 XX 2X1=2 1+1=2.

Exponents 3² Mrs. 3 × Mrs. 3 3 × 3 3².

Interactive Math Note Book

Issue Date: 28th September, 2002 Doreen Chan Area H2 Governor XXXXX Chief Judge Toastmasters International District 51, Division H & V 2002 Area H2 Humorous.

Advanced Math Topics 4.4 Permutations. You have six younger brothers, George 1, George 2, George 3, George 4, George 5, and George 6. They all want your.

Lesson #3- Exponent Laws

Career Day It’s Career Day at school and we have many Visitors that will be joining us. We have 24 chairs that must be set up so that we can listen and.

EveMark Ed Enter question here. Click the sound icon to listen to each solution. Who has the best solution?

Divide by 8 page – groups of 8 Division Sentence 0 ÷ 8 = 0.

Lecture # 3 Regular Expressions 1. Introduction In computing, a regular expression provides a concise and flexible means to "match" (specify and recognize)

Name Collection Boxes Standard 2.1: Numbers, Number Systems and Number Relationships C. Represent equivalent forms of the same number through the use of.

Exponent Laws MHF4UI Friday October 12 th, How much do you remember from Grade 9? 1)7 1 2)Z 0 3)3 -3 4)4 -7 × 4 5 5)2 -3 ÷2 -6 6) (2 5 )⁴ 7) (2xy)

2015 Great Plains ASLA Awards Category here Project Name: xxxxxxxxxxxxxxxxxxxxx Project Name: Project Location: Project Purpose: To xxxxxx xxxxxx xxxx.

2015 ASLA Awards Program Category here Project Name: xxxxxxxxxxxxxxxxxxxxx Project Name: Project Location: Project Purpose: To xxxxxx xxxxxx xxxx xxxxx.

2013 Central States ASLA Awards Category here Project Name: xxxxxxxxxxxxxxxxxxxxx Project Name: Project Location: Project Purpose: To xxxxxx xxxxxx xxxx.

Retakes: -Turn in quiz corrections -Retakes Thursday and Friday at lunch, or as arranged before the end of next week. Today’s Plan -Correct -Combining.

Created by V. S. Bell H. H. Beam Elementary School Gastonia, NC

HOMEWORK REVIEW. SOLVE ABSOLUTE VALUE INEQUALITIES 5.6.

Solve x 2 +3x – 5 = 11 xx2x2 +3x-5X 2 +3x-5High/ Low L.

FACTOR to SOLVE 1. X 2 – 4x X 2 – 17x + 52 (x-10)(x + 6) x = 10, -6 (x-4)(x - 13) x = 4,13.

6.1 - Polynomials. Monomial Monomial – 1 term Monomial – 1 term; a variable.

6.7 Permutations & Combinations. Permutations / Combinations I.Permutations A) Factorials B) Permutations n P r n! (n-r)! II. Combinations n C r n! r!

Math 8 Unit 2: Integers. What you’ll learn: Multiply and divide integers Use the order of operations with integers Solve problems involving integers.

Making a Line Plot Collect data and put in chronological order Determine a scale and intervals If you have a small range, you should probably use intervals.

Sample School District No. 000

Using Variable Domain Functions

Simplifying Rational Expressions

Theorem Let an = can/k + f(n) be recurrence relation with positive constant c and the positive function f(n). (a) If for large n, f(n) grows proportional.

2017 Central States ASLA Awards Category here

2017 Great Plains ASLA Awards Category here

2017 Iowa Chapter ASLA Fall Conference Awards Category here

52 Exponent Base 52 · 53 = 55 If the numerical bases are the same, keep the base and add the exponents.

Simplify 2m( 3 2 m+1)+3( 5 3 m-2) A.)3m2+5m-1 B.) 3 4 m m-6 C.) 3m2+7m-6 D.) 3 4 m m-1.

Gamma Theta Upsilon Recent GTU Initiates

Presenter Name Presentation/event title xxxxx

Instructions and Examples Version 1.5

Clinical Implications Differential Diagnosis

Title—48 pt. Arial Bold (use two lines of text if necessary)

Warm Up W1D5 8/10/11 2. Solve: |4x+2|=5 8x-4 1. = |x+2|=15

2018 Central States ASLA Awards Category here

OF YOUR PRESENTATION HERE

Title—48 pt. Arial Bold (use two lines of text if necessary)

xxxxxx Jeopardy XXXX XXXX XXXX XXXX

2014 Central States ASLA Awards Category here

Sample School District No. 000

Sample School District No. 000

Warm up (12x2 + 8x – 6) – (9x2 – 2x + 5) Find the area and perimeter

Presentation transcript:

MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 34, Friday, November 21

7.1. Recurrence Relation Models Homework (MATH 310#10W): Read 7.1 Do 6.5: all odd numbered problems Turn in 6.5: 2,4,6,8 Turn in 7.1: 2,4,6,12,16,18,26,48

Test 1 & 2 - Statistics Here is a stem- and-leaf report on the total. Median: 187 (Bonus points are not counted.)

Test 2 - Statistics Here is a stem- and-leaf report on the test. Median: 94 There are is only one mark

Test 2 – Problem #1 Median xxxxxx xxxx -2 -3x x

Test 2 – Problem #2 Median xx xxxxxxx -2x -3xx

Test 2 – Problem #3 Median x -2xx -3xxx -4 -5xxx -6xxx

Test 2 – Problem #4 Median xxxx x -2x -3x -4xxx -5x x

Test 2 – Problem #4 Median

Test 2 – Problem #4 Median

Test 2 – Problem #5 Median x -3x -4x -5xxxxx -6xx -7xx

Test 2 – Problem #6 Median x xx -2xx -3xx -4x -5xx -6x -7 -8x

Test 2 – Problem #7 Median xxxxxxxx x -2 -3x x x

Test 2 – Problem #8 Median xxx x -2xxxxx -3x -4x -5x

Test 2 – Problem #9 Median x x -2xx -3x -4x -5xx -6 -7x -8x -9xx -10

Test 2 – Problem #10 Median xxx xxx -2xx -3xx -4x x

Test 2 – Problem #11 Median xxx xx -7xx -8xx -9x -10xx

Recurrence Relation a n = c 1 a n-1 + c 2 a n c r a n-r. a n = ca n-1 + f(n). a n = a 0 a n-1 + a 1 a n a n-2 a 1 + a n-1 a 0. a n,m = a n-1,m + a n,m-1. Initial Conditions. a n = a n-1 + a n-2, a 0 = 2, a 1 = 3.

Example 1: Arrangements Find a recurrence relation for the number of ways to arrange n objects in a row. a n = na n-1. a 0 = 1.

Example 2: Climbing Stairs n – stairs to climb each step can cover either 1 step or 2 steps. Find a recurrence relation for a n, the number of ways to climb the stairs. a n = a n-1 +a n-2. a 0 = a 1 = 1.