# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

7 Pages

### 104_11

Course: MATH 104, Fall 2009
School: Haverford
Rating:

Word Count: 1400

#### Document Preview

104 MATH HW 10 CLAY SHONKWILER 8.4 2. Does the following series converge or diverge? en . n=1 Answer: We can re-write the series as n=1 1 e 1 e n1 , which is a geometric series with a = r = 1 , so the series converges to e 1 e 1 1 e = 1 e e1 e = 1 . e1 3. Does the following series converge or diverge? n=1 n . n+1 Answer: Note that, by LHpitals Rule, o n 1 lim = lim = 1. n n + 1 n 1 Hence, by...

Register Now

#### Unformatted Document Excerpt

Coursehero >> Pennsylvania >> Haverford >> MATH 104

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

Haverford - MATH - 104
MATH 104 HW 6CLAY SHONKWILER6.5 4. The processing of raw sugar has a step called inversion that changes the sugars molecular structure. Once the process has begun, the rate of change of the amount of raw sugar is proportional to the amount of raw sugar
Haverford - MATH - 104
MATH 104 HW 3CLAY SHONKWILER5.3 2. Find the volume of the solid generated by revolving the region bounded by x = 3y/2, y = 2 around the y-axis. Answer: First, note that 3y/2 = 2 when 3y = 4; i.e. when y = 4/3. Hence, the volume is given by4/3V =0r2
Houston Downtown - CMS - 2305
Sample Questions for test 2, but please look at the notes and homework as this is only a sample (not a review)I.1. Prove (a) Indirectly if 3n+2 is odd, then n is odd. (b) By contradiction that if 3n+2 is odd, then n is odd. 2. Prove that the difference
St. Mary NE - FRAME - 4544
7000 Mercy Road, Omaha, NE 68106 Ph: 402.399.2337Morning: SPANISH A L CSM(JUNE 1-5, 2009, 8 AM 12 PM)Afternoon: FASHION WEEK(JUNE 1-5, 2009, 1 PM 5 PM)Registration form is for either Spanish A La CSM, Fashion Week or both. There is a \$50 discount if
National Taiwan University - CHEM - 102
National Taiwan University - CHEM - 102
National Taiwan University - CHEM - 102
National Taiwan University - CHEM - 102
National Taiwan University - CHEM - 122
Chapter 15 - Homework Questions, 8th edn = -1, Kp = 1.2 x 10^-4n = -0.5, Kp = 5.21n = 1, Kp = 0.093n = 0,Kp = Kcn = -1, Kc = 2.47 x 10^3
National Taiwan University - CHEM - 122
National Taiwan University - CHEM - 125
Chapter 15 - Homework Questions, 8th edn = -1, Kp = 1.2 x 10^-4n = -0.5, Kp = 5.21n = 1, Kp = 0.093n = 0,Kp = Kcn = -1, Kc = 2.47 x 10^3
National Taiwan University - CHEM - 125
National Taiwan University - CHEM - 125
49505152535455
National Taiwan University - CHEM - 125
National Taiwan University - CHEM - 101
National Taiwan University - CHEM - 101
National Taiwan University - CHEM - 101
CALCULATOR SKILLSThese problems are designed to give you practice using your calculator in operations with scientific notation. Report your answers in proper scientific notation. (Do not be concerned about significant figures now. You can go back and to
National Taiwan University - CHEM - 122
National Taiwan University - CHEM - 125
Continue in this way. Program eqn 6 from the lab manual into the column for Ps and then take ln(P) for the next column (enter &quot;=ln(f9)&quot;) and then copy this formula into the remaining cells. The &quot;finished&quot; sheet for cmpd 1 is belowYou can rename a sheet b
Texas A&M University, Corpus Christi - FACULTY - 2302
Flexible Budgets and Overhead AnalysisChapter 11McGrawHill/IrwinCopyright2008,TheMcGrawHillCompanies,Inc.11-2Learning Objective 1Prepare a flexible budget and explain the advantages of the flexible budget approach over the static budget approach.Mc
Purdue - PHYS - 152
Lab 2: The Force TableR. Napora Today you will be experimenting with a force table to attain a better understanding of vectors. The force table is shown in Fig.[1]. It is a round table with a center pin and angle divisions marked around its outside edge.
Purdue - EE - 202
EE202HOMEWORK PROBLEMSSPRING 09TO THE STUDENT: ALWAYS CHECK THE ERRATA on the web. RAY'S READING SUGGESTIONS FOR BROADENING YOUR EDUCATIONAL FOUNDATION ON LEADERSHIP: The Leadership Pill by Ken Blanchard and Marc Muchnick (Short and sweet-laying out a
Lake County - CI - 301
-1Reflectionson Early Field ExperienceThe thing that's amazed me the most during my early field experiences is how differently each child develops. I've been told this over and over again in my education and psychology classes but it never really sunk i
Lake County - CI - 301
Matt Dorgan John Hinrichs 10/20/03 Lesson Presentation Goals: -To give visual representations of sequences and series -To establish the general concepts and properties of sequences and series Materials: -Plain paper, scissors, calculators Lesson Plan: -St
Lake County - CI - 301
Maryjoy Carnate C&amp;I 301 Math Biography #2 11/12/03 School description: Located in Morton Grove, IL, Danny currently attends a public school with students of all ethnicities. Diversity is accepted as the norm. The majority of teachers are upper middle clas
Lake County - CI - 301
Maryjoy Carnate C&amp;I 301 Article Summary #2 10/6/03 Adler, J. (2000). Conceptualizing Resources as a Theme for Teacher Education. Journal of Mathematics Teacher Education. 3(3), 205-224. In this article, Adler proposes the idea for the mathematics teacher
Lake County - CI - 301
Jeff Wiersema C &amp; I 301-M Reese, Dildine Max speed of Robot- 33 tiles per minute, 24.75 feet per minute, 0.28 miles per hour I don't know how to send the graph we drew. To increase the slope of the line: Have the robot move perpendicularly backwards to th
Lake County - CI - 301
-1MATH HISTORY #2Mary attended a school in the suburbs of Chicago. She took Algebra 1 as a freshman, Algebra 2 as a sophomore, Geometry as a junior, and Pre-Calculus as a senior. Mary was in the lower classes in grammar school and junior high school. No
Lake County - CI - 301
Number of Iterations Number of Sides Length of Side 0 3 1 12 2 48 3 192 4 768 5 3072 6 12288 7 49152 8 196608 9 786432 10 3145728 11 12582912 12 50331648 13 201326592 14 805306368 15 3221225472 16 12884901888 17 51539607552 18 206158430208 19 824633720832
Lake County - CI - 301
My Reflections on ObservingIm really glad that we got so many opportunities to observe different classrooms. During my visits to Champaign Central High School, I saw two different classes that were completely different. One was a sophomore level Algebra
Lake County - CI - 301
GRADE LEVEL:FreshmanAlgebra Activity: Give the students paths and have them figure out the algebraic equations for that path. Also, give the students graphs and have them figure out how to write the program to create those graphs. GRADE LEVEL: Freshman
Lake County - CI - 301
Linda Bohn Bryan HuttnerLesson Plan - When a Variable is Not Single1) Goals: examining variables with nonsingular coefficients finding the images of these functions the change of slope based on a change of coefficient.2) Materials: Computers with exc
Lake County - CI - 301
Hillary Olech Annotated bibliography #4 Anku, Sitsofe Enyonam (1997). Multiculturalism: making math murky? Education, 118(2), 186-191. The National Council of Teachers of Mathematics states that math education of every child is the most compelling goal of
Lake County - CI - 301
Annotated Bibliography #2 Hillary Olech Chamblee, Gregory E. &amp; Scott W. Slough (2002). Implementing technology in secondary science and mathematics classrooms: is the implementation process the same for both disciplines? Journal of Computers in Mathematic
Lake County - CI - 301
test page
Lake County - CI - 301
Russ GatesTextbook analysis I took a look at the SIMMS integrated mathematics textbook, level 4. I found this book to be very different than any other math book i have ever seen. It did not have anychapters, it seemed like a collection of different ac
Lake County - CI - 301
-1JessicaPlantZhou, L. (2003, May). Bridge the gap-Reflections on whole class interactive learning. Philosophy of Mathematics Education Journal, 17. Zhou, a mathematician who taught in different countries, conducted an analysis of the effectiveness of d
Lake County - CI - 301
-1Final Exam Question2The authors of The Teaching Gap (Stigler &amp; Heibert, 1999) believe that implementing the Japanese lesson study approach will lead to greater professionalism of teaching. The authors argue that the biggest problem we face in American
Lake County - CI - 301
Anna Koch Jaime Escalante LectureI went to see the Jaime Escalante lecture. While it was extremely hard for me to understand his English, I think I got most of it. I was very disappointed that he did not really explain his method of teaching. He didn't r
Lake County - CI - 301
Anna Koch Sullivan, P. (2002). Editorial: Using the Study of Practice as a Learning Strategy within Mathematics Teacher Education Programs. Journal of Mathematics Teacher Education, 5(4), 289-292. This article is very interesting because it discusses the
Lake County - CI - 301
Anna KochChampaign Central Classroom VisitsOctober 1, 2003 The first class I visited was Ladonna Fletcher's 6th period AP Calculus class. I thought this visit was very interesting. Ladonna spent the entire class going over the homework from the night be
Lake County - CI - 301
Michael J. CibulskisActivity Ideas - 09/03/03Grade Level: middle school (8th) / high school (9th) Describing the graphs of simple robot movement of distance vs. time and velocity vs. time as intervals of mathematical functions.Grade Level: high schoo
Lake County - CI - 301
Andrew Siriapismai &amp; Jessica Plant Lesson Presentation Write-up C&amp;I 301 M 1. GOALS ~The goals of this lesson are to have the students: 1) discover and understand the relationship between the dimensions of a cylinder and its area, 2) compare the volumes of
Lake County - CI - 301
Annotated Bibliography entry prepared by Andrew Siriapismai Sullivan, Peter. (2002). Editorial: Using the Study of Practice as a Learning Strategy within Mathematics Teacher Education Programs. Journal of Mathematics Teacher Education, 5(4), 289-292. Retr
Lake County - CI - 301
Kristin Smetana Math Biography 2 For my math Biography I interviewed Ashley, who resides in Downers Grove Illinois and is of the upper-middle class. Downers Grove has two high schools to accommodate a population of forty-eight thousand people as well as m
Lake County - CI - 301
Teacher's Instructions Day 1For this lesson the teacher will need: To bring a bag of M&amp;M's, 15 small cups, CD, CD player, jar, 1 big brown bag, worksheets, and overheads. Before the students enter: Write on the board the goals for the day and the materia
Lake County - CI - 301
Maryjoy Carnate and Jeanette HorngLesson Plan: The Letters of the AlphabetTaken from: Philip McGoldrick, L.E. Rader Center, Sand Springs, OK Grade Level: 7-12 I) Goals: To familiarize students with simple statistics and statistical analysis. To learn ho
Lake County - CI - 301
600500400300Surface Area Volume2001000 1 2 3 4 5 6 7 8 Height (cm)Height vs. Surface Area450 f(x) = -36x + 456 R = 0.95400350300 Surface Area (cm^2)250200150100500 0 1 2 3 4 Height (cm) 5 6 7 8 9Height vs. Volume700600500Volume (cm^
Lake County - CI - 301
Bryan Cope C &amp; I 301 M Dr. Reese October 20, 2003 Math Biography Mathematics education has undoubtedly changed significantly over the past few decades. While the profession has a long way to go in achieving the goal of high quality mathematics instruction
Lake County - CI - 301
Scavenger Hunt: Location using Cartesian CoordinatesCreated by Bryan Cope and Kristin SmetanaGoals -Introduce Cartesian coordinates and their usage in maps -Specify location of objects with Cartesian coordinates -Locate an object given the Cartesian coo
Lake County - CI - 301
Bryan Cope &amp; Kristin Smetana Algebra with Robots Middle grade levels 6-8 Students could be given various polygons that they could attempt to trace by programming the calculator. In order to make the correct angles, they would need to plot a graph of angle
Lake County - CI - 301
Grade Lavel 8-Algebra Activity We would have the students for different shapes with the robots and then have them find the perimeters and areas of those shapes. Also, we would have them create the same shape of different sizes to demonstrate how area incr
Lake County - CI - 301
Tami Flett C&amp;I 301 November 30, 2003 Math History #2 For my second math biography I chose to interview my roommate Stacy. Stacy is a 22 year old female from Freeport, IL which is right outside of Rockford. The area is urban for the most part with a variet
Lake County - CI - 301
Box # length width height volume surface area (open) surface area (closed)1 20 16 1 320 392 7122 18 14 2 504 380 6323 16 12 3 576 360 5524 14 10 4 560 332 4725 12 8 5 480 296 3926 10 6 6 360 252 3127 8 4 7 224 200 232Relationships: As height incre
Lake County - CI - 301
Matt Dorgan John Hinrichs Anna Koch Grade Level: Algebra I Activity: This activity will help students calculate slopes, and convert between units. Students will be asked to create time vs. distance graphs and will use these graphs to come up with slopes.
Lake County - CI - 301
Matt Dorgan Observations I've been observing at Jefferson middle school. I watch a seventh grade pre-algebra class. It's the same class all three periods that I'm there. I think the first thing I had to get used to was being in a junior high classroom aga
Lake County - CI - 301
Tevebaugh, T. (1998). Mathematics is not a Universal Language. Teaching Children Mathematics. v5 i4 p214(3) Tevebaughs article focuses on how to teach mathematics to students whose second language is English. Although many people have thought of math as b
Lake County - CI - 301
Volume700600500400 Volume Column E 3002001000 1 2 3 4 n 5 6 7 8John Hinrichs and Matt Dorgan Height n n 1 2 3 4 5 6 7 8Width 2(9-n) 1 2 3 4 5 6 7 8 Volume 4n(9-n)(11-n) 320 504 576 560 480 360 224 96 20 18 16 14 12 10 8 6Length 2(11-n) 16 14 12
Lake County - CI - 301
Two different applications that can be used with the robot are: 1. For grade level 7-9: Use the robot to explore different size shapes, and relating those to ratios and proportions of objects. 2. For grade level 11-12 Use the robot to make different size
Lake County - CI - 301
Activity #1: Grade Level 8/9 Activity Have students describe what type of graphs can not be formed by a distance vs. time relationship with the cars.Activity #2: Grade Level 7/8 Activity Robot races: Have teams of students create mazes for each other to
Lake County - CI - 301
Dear Parents, I would like to welcome you to a new school year and to my classroom. Remember that you are a part of the classroom and educational process just as much as I or your children are. I'm excited about this school year and the challenges that la