3 Pages

cowell.lauren chroninger

Course: MUSIC 300, Fall 2009
School: Sonoma
Rating:
 
 
 
 
 

Word Count: 2580

Document Preview

Brief A Reflection on Henry Cowell by Lauren Chroninger Chroninger 2 Youth Henry Cowell was born in Menlo Park, California in 1897. The son to two bohemian writers and grandson to the Dean of Kildare, Cowell demonstrated high musical talent and began playing the violin at age five. His father was an Irish immigrant and his mother was a former schoolteacher. Though his parents were both involved in his musical...

Register Now

Unformatted Document Excerpt

Coursehero >> California >> Sonoma >> MUSIC 300

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.
Brief A Reflection on Henry Cowell by Lauren Chroninger Chroninger 2 Youth Henry Cowell was born in Menlo Park, California in 1897. The son to two bohemian writers and grandson to the Dean of Kildare, Cowell demonstrated high musical talent and began playing the violin at age five. His father was an Irish immigrant and his mother was a former schoolteacher. Though his parents were both involved in his musical abilities, they soon divorced and his mother, Clarissa Dixon was awarded sole custody. Cowell as a young man Due to this divorce, money was a huge setback for Cowell and his mother. One time a friend had to loan Henry and his mother money in order to eat. With this small sum of money, Henry and his mother bought a sack of cornmeal which they survived off of for several weeks. If it was not for music, Henry would have struggled a great deal in his youth. His father, though mostly absent continued to inspire his musical ventures by introducing him to many different varieties of music including Irish jigs. Though he received no musical training he started to compose in his mid-teens. This was the only form of education Henry would dabble in, in his youth. In the fall of 1914, Cowell was admitted into the University of California Berkeley as a student of Charles Seeger. For his first piano lesson, Henry showed up with his most special Chroninger 3 piece, The Tides of Manaunaun. In this piece, Cowell used his forearms and elbows in order to produce the large tone clusters which later would be his trademark sound. It was at UC Berkeley that Henry would study harmony and other music classes. Some of his other professors included Edward Stricklen and Wallace Sabin. Though these two years were very inspirational to Cowell, he began to pursue further studies in New York. It was there that Henry met Leo Ornstein, who was seen as a very "futuristic" composer-pianist. With some of Orstein's influences, Cowell began writing pieces which again involved heavy tone clusters. After New York, Cowell returned to California to further explore Irish folk culture. He met up with composer and astrologer Dane Rudhyar. Rudhyar's piano music was popular for awhile but his interest lie mostly in astrology and being an occultist. Henry soon became involved with Rudhyar's theosophical community. This community was very interested in Irish folk culture, music and mythology. These experiences fueled such pieces as Dynamic Motion and the stage production of The Building of Banba. Musical pioneer After a few years, Cowell began to tour extensively in North America and Europe as a pianist. It was in these tours, that his passion for wacky explorations of polytonality, atonality, polyrhythm and non-Western modes blinded audience members. During one such tour, Bela Bartok requested permission to adopt some of his tone cluster techniques. This was not the only composer that would ask to borrow some of Cowell's techniques. Later, Cowell's experimentation with string piano techniques would lead to John Cage's development of the prepared piano. Chroninger 4 Henry's compositional approach was radically different than most music that had been produced so far. Some of his strategies included longitudinal sweeping and scraping of the piano strings. A critic for the San Francisco News wrote that Cowell's "tone clusters are probably the most startling and original contribution any American has yet contributed to the field of music." After wrapping up his tour in Europe, Cowell came back to the States to make his Carnegie Hall debut. It was at this tour that Cowell started getting wind of another bold composer, Charles Ives. When inquiring about Ives' to Charles Seeger and Carl Ruggles, both musicians urged Cowell "not to bother with that crank". Ultra-modernist and world music leader In 1925, Cowell organized the New Music Society. This group's sole goal was to stage concerts of works written by various radically different composers of that era. In order to get the word out about this society, Cowell started the New Music Quarterly. This was a paper that would publish scores from the composers who were performing at the concerts. The first score published in the Quarterly was Men and Mountains by Carl Ruggles. Soon after this publication, Chroninger 5 half of the subscribers canceled. Though in the past, Cowell had been warned about Ives, he was intrigued when Ives ordered twenty-five extra subscriptions of the Quarterly. After this purchase, Cowell wrote Ives stating, "You asked me some time ago whether you could do anything for the Pan American-if you feel like donating something to it financially, it would be of great aid." This letter inspired Ives to start donating money to the New Music Quarterly and the Pan-American Association (which will later be discussed). After some time, Cowell and Ives arranged to meet in New York. This meeting between the two composers, led to the publication of Ives' new piece, Comedy. At this point; the Quarterly had less than $100 in the bank account. Most of the scores being published were decimating subscribers. Because of this, Ives' score was under skepticism. It was also a hard sell for the journal's engravers. Though Ives was willing to pay for any engraving expenses most would not touch his new work based on its difficulty. Finally, professional engraver Herman Langinger was up for the job. The piece turned out beautifully but disaster struck when New Music copyrighted the piece. Ives was furious. After a blow out happened between the two men, Cowell soon was to de-copyright Comedy. Despite some of its shenanigans, The New Music Society would go on to do great things. Some of the members of this society included musical greats such as Schoenberg and Wallingford Riegger. The Quarterly would also go on to publish material from Paul Bowles, Otto Luening and Aaron Copland just to name a few. Chroninger 6 Cowell and Charles Ives In 1928, Cowell led a group of composers that would later change musical history. This group Ruggles, Varese, Emerson Whithorne and a Mexican composer named Carlos Chavez. They called themselves the Pan-American Association of Composers. This group was dedicated in promoting Western music that would transcend national lines. Its inaugural concert in March of 1929, included a diverse program featuring Brazilian Composers, Cuban composers, French composers and American composers. Over the next four years, Nicholas Slonimsky conducted concerts of this nature in Europe, Cuba and across New York. During this time, Cowell would also become a highly regarded teacher of composition and theory. Some of his students included George Gershwin, Lou Harrison and John Cage. Cage would later say that Cowell was "the open sesame for new music in America." Over this period of his life, Cowell became accustomed to hearing music from all over the world including China, Japan, India and Tahiti. These influences helped him form his eclectic musical sound. He would later say, "I want to live in the whole world of music." Based on his experiences, Henry began teaching courses in world music in California and New York. In 1931, a Guggenheim fellowship helped Cowell go to Berlin to study comparative musicology. Chroninger 7 Imprisonment Like many composers of that time, Cowell was bi-sexual. On May 21st, 1936, Cowell was charged with homosexual conduct and arrested in his cottage in Alameda. Soon after he was charged, Harmony Ives received a letter from John Becker announcing Henry's arrest. Becker knew Harmony would take this news a little lighter than Charles. Harmony read Becker's letter in shock and proceeded to write Charlotte Ruggles, devote wife of Carl Ruggles: Have you heard this hideous thing about Henry Cowell-that he has been guilty of Oscar Wilde crime practices-a in California, must stand trial and probably receive a long sentence? Mr. Becker wrote me-fearing to write Charlie whom I shall not tell until I have confirmation...If true I think the saddest thing in our experience. I had no inkling of the defect, had you?...of course it is a disease-"a quirk in nature", as Mr. Becker said...I am dreading this disclosure to Charlie-it is the only secret I've ever had from him. . At the time, Cowell denied the charge but after severe investigatory actions, Cowell confessed to "improper relations" with several of his friends. After a week's time, a confession was produced and a plea of leniency was filed. At first, Cowell refused to hire an attorney but after consultation with his family, he quickly changed his mind. Cowell hired Duncan O'Neal to defend him. When reading the information on this story, there were several conflicting stories about this case. Several websites and books, including Charles Ives; A Life With Music, claim that Cowell was found guilty of having relations with a group of teenagers he had let live in his house in Menlo Park. In order to protect them, Cowell pled guilty hoping to get off with probation. To contradict this information, other websites claimed the press made up these facts in order to have a bigger story. These sites insist that Cowell had only been charged with one act of homosexual Chroninger 8 contact between a friend of age. What ever the case may be, the press followed Cowell's case very closely. In turn, Henry was ostracized by many in the music community. Though sex crimes among less prominent people were a daily occurrence, Cowell was made a bit of a spectacle. After this incident, Charles Ives cut all ties with Cowell for five years. He insisted that Cowell was no longer a man but a "sap, a pussy and a pansy." One of Cowell's chief defenders was musician/composer Percy Grainger. Cowell was found guilty and entered San Quentin in 1936. At that time, San Quentin was the largest prison in the penal system and had been rated second worst in the nation. If isolation from peers was not enough, Cowell was kept from his most prized possession, a piano. Without a desk and/or musical instruments, Cowell could only compose on score paper which was carefully laid out on his book. Though the hours were long at San Quentin, Cowell still managed to write pieces and perform in the monthly vaudeville nights in prison. In December 1936, Cowell wrote Nicolas Slonimsky the following letter. Do you hear from Ives? I have not had a word from him. I naturally feel very badly. I wrote the whole thing to Mrs. Ives, with a letter to give Mr. Ives if she felt it would not be too much of a shock for his health......I asked them to please not form judgment until I have a chance to tell them of the matter myself. It is very unlikely Ives to suddenly cut me off from all communication. I can't conceive of it all. I know that his eyes are very bad and probably cannot write or read the letters himself....Not hearing anything at all is really torturing, because as you know, I regards Ives the same as a father; no one who had ever know him-could fail to be attached. This broken relationship was torturing for both parties. But Cowell refused to let prison get the best of him. Chroninger 9 Though time in prison was long, Cowell found himself still immersed in music. He was later transferred to work closely with the bandmaster in the prison's education department. This music department continued to flourish. In a mere three years, Cowell had 1,549 registrations in his music classes. Sixty of these registrants were in advanced music courses. Cowell also maintained contact with the music community outside his cell. Harmony Ives, despite scandal, wrote Cowell to inform him they would still keep the journal going. Ives' yearly contributions of $1,500 were still maintained until 1939 when Ives dropped these contributions to $600 due to personal financial problems. With his spare time, he managed to publish a book on melodies, 11 journal articles and more than 60 different musical works. Some of these works included two major pieces for percussion ensemble: the Oriental-toned Pulse (1939) and the memorably sepulchral Return (1939). He also continued his experiments in aleatory: For all three movements of the American Suite (1939), he wrote five versions, each more difficult than the last. Interpreters of the piece are invited to simultaneously perform two or even three versions of the same movement on multiple pianos. In the Ritournelle (Larghetto and Trio) (1939) for the dance piece Marriage at the Eiffel Tower, performing in Seattle, he explore...

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:

Sonoma - MUSIC - 300
SIGNATURES FROM AMERICAN COMPOSERSNate Andersen 5-19-07 IVES SEMINAR American composers revolutionized the music of society. We al have heard of the many famous composers of Europe, composers who drove the music of the church, and those who would ta
Sonoma - MUSIC - 300
Paul Ammerman Mus. 300Temporal Organization in the Music of Elliott Carter, with a Commentary on the Sonata for Violoncello and Piano and Other ConjecturesOn all the things that characterize the music and thought of Elliott Carter, the experience
Sonoma - MUSIC - 300
The album Double Music is pulsing in the background, creating quite the environment to write in. The album entitled Double Music is a collection pieces written for percussion ensemble by John Cage, Harvey Sollberger, Lukas Foss, and one piece cocreat
Sonoma - MUSIC - 300
Life A Flow of Consciousness Precompositional Ideas Play Ground of a MomentThink of living as a journey from moment to moment. Living is an amazing sequence of improvisations. Each individual is free to construct the syntax or language of its own e
Sonoma - MUSIC - 300
Luke A. Vranna What To Listen For In Music The title of this paper is the same of the title of the book written by Aaron Copland. I have decided to comment on certain things addressed in this book. This book's final edition was released in 1957. Musi
Texas El Paso - FACULTY - 167
Chapter 7 Implementing Strategies: Management & Operations IssuesStrategic Management: Concepts & Casesth10 Edition Fred DavidPowerPoint Slides by Anthony F. Chelte Western New England CollegeCh 7-1Copyright 2005 Prentice HallNature of Stra
Texas El Paso - ACADEMICS - 954
CHEM 5341: Outline Branden & Tooze Basic Structural Principles a. The Building Blocks b. Motifs of Protein Structure c. Alpha-Domain Structures d. Alpha/Beta Structures e. Beta Structures f. Folding and Flexibility g. DNA Structures Structure, Func
Stanford - ERE - 1975
LAND SURFACE SUBSIDENCE ASSOCIATED WITH GEOTHERMAL ENERGY PRODUCTIONS. K. Garg Systems, Science and Software P . O . Box 1620 La J o l l a , C a l i f o r n i a 92038Land subsidence, sometimes observed d u r i n g o i l f i e l d p r o d u c t i o
Stanford - ERE - 1978
PROGRESS REPORT ON THE DOE/DGE/LBL RESERVOIR ENGINEERING AND SUBSIDENCE PROGRAMSJ.H. Howard, J . E . Noble, W . J .Schwarz, and A.N. Earth Sciences Division Lawrence Berkeley L a b o r a t o r y U n i v e r s i t y of C a l i f o r n i a B e r k
Mt. Marty - PH - 1725
Chapter 8 Part 3 How to decide which t-test to use and how to report the resultsDecember 9, 2008Goal:To make clear how to select the correct t-test for a given problem.Skills:Be able to use the appropriate Stata command. Be able to properly re
Mt. Marty - PH - 1725
Chapter 8 Part 2 Unpaired t-testWith Equal Variances With Unequal VariancesDecember 2, 2008Goals:To explain that the choice of the two sample t-test depends on whether the samples are dependent or independent and for the independent samples whe
Mt. Marty - PH - 1725
Chapter 8 Part 1 Paired t-test November 25, 2008Have a happy Thanksgiving!Goal:The goal is for you to understand the connection between the paired t-test and the one sample t-test. This will allow you to see what approach we will need to take in
Mt. Marty - PH - 1725
Chapter 7 Part 5 Sample size November 20, 2008Goal: For students to understand what parameters impact sample size and what that impact is. Skills: You should be able to calculate the appropriate sample size for one sample problems. Stata commands:
Mt. Marty - PH - 1725
Chapter 7 Part 4One sample tests November 18, 2008Goal: To give examples of hypothesis testing and confidence intervals so it will be clear to you the process you need to go through. Skills: Given a one-sample problem, you should be able to run,
Mt. Marty - PH - 1725
Chapter 7 Part 3 PowerNovember 13, 2008 Edited Nov 13 at 4 PMGoal: To understand the process of hypothesis testing, the relationship between hypothesis testing and confidence intervals and to understand the relationship between the alternative hy
Mt. Marty - PH - 1725
Chapter 7 Part 2 Hypothesis testing PowerNovember 6, 2008 All of the normal curves in this handout are sampling distributionsGoal:To understand the process of hypothesis testing and the relationship of sample size and the form of the alternative
Mt. Marty - PH - 1725
Chapter 7 Part 1 Riverboat Gambler November 4, 2008Goal:To provide a clear explanation of hypothesis testing with an example that allows us to define all of the parts of the process in an easy to follow manner.Skills:Be able to define the terms
Mt. Marty - PH - 1725
Chapter 6 Part 7 Confidence interval examples October 30, 2008Goal:To answer in the affirmative the question: Are we ever going to learn what to do with these confidence intervals?Skills:Given a problem, be able to identify the proper distribut
Mt. Marty - PH - 1725
There exists aUsed to describe PopulationPopulation P l ti ParametersA statistician selects aUsed to estimateRandom SampleSample StatisticsThe sample generatesNumerical DataUsed to calculate xx xxx
Mt. Marty - PH - 1725
Randomization Chapter 6 Part 1 October 14, 2008I will come back to linear combinations and correlation coefficients at a later date.Goals: Statistical inference is based on probability and randomization. We have already laid the groundwork for pro
Mt. Marty - PH - 1725
Chapter 4 Part 3 Sections 4.10 - 4.12 Poisson Distribution October 2, 2008Goal:To develop an understanding of discrete distributions by considering the binomial (last lecture) and the Poisson distributions.Skills:To be able to distinguish which
Mt. Marty - PH - 1725
Each number represents an area. The area of circle A = area 1 + area 2 + area 3 + area 4 The area of circle B = area 2 + area 3 + area 5 + area 6 The area of circle C = area 3 + area 4 + area 6 + area 7 Equation 1: So adding together area of circle A
Mt. Marty - PH - 1725
Chapter 4 Part 2 Sections 4.2 - 4.6 and 4.8 & 4.9 in Rosner September 25, 2008 Random Variables Binomial DistributionGoal:To introduce discrete probability distributions including the binomial distribution.Skill set:You should be able to constr
Mt. Marty - PH - 1725
Chapter 3 Part 2 Probability September 11, 2008Start reading Chapter 4The goals and skill set apply to Chapter 3 Parts 1 and 2 combined.Goal:All of inferential statistics rests firmly on probability. So these lectures on probability are designe
Mt. Marty - PH - 1725
Chapter 3 Part 1 Probability September 9, 2008The goals and skill set apply to all of Chapter 3Goal:All of inferential statistics rests firmly on probability. So these lectures on probability are designed to give you a good working knowledge of
Mt. Marty - PH - 1725
Chapter 2 Part 1A Measures of Location September 2, 2008Skill set you should have by the time we complete Chapter 2:You should know the definitions of the major measures of location (mean, median, mode, geometric mean) and variability (standard de
Mt. Marty - PH - 1725
Chapter 2 Part 1B Measures of Location September 4, 2008Class will meet in the Auditorium except for Tuesday, October 21 when we meet in 102a.Skill set you should have by the time we complete Chapter 2:You should know the definitions of the major
Mt. Marty - PH - 1725
Homework 9This homework is to be worked alone (i.e. you may ask questions of me, Renke or Yi-Ju but no one else). This homework is due at the beginning of class Thursday, December 4.For the first 4 questions the population values that you should u
Mt. Marty - PH - 1725
Homework 5You are to work alone on this homework. You may ask questions of me, Yi-Ju or Renke. You are to consult no one else. This homework is due on Tuesday, October 28, 2008 at the beginning of class. Question 1: Mr. and Mrs. R. are both know car
Mt. Marty - PH - 1725
Homework #4Due October 16, 2008 at the beginning of class. You may work in groups. You do not need to turn in a log file.These problems will take some thought. I suggest you start work on them early.The problems are from Rosner 6th edition. Rosne
Mt. Marty - PH - 1725
Intermediate Biostatistics I (PH 1725) Rules of the Road September 2, 2008Goal:By the end of Intermediate Biostatistics I (PH 1725) and II (PH 1726), you should be able to analyze studies that are well designed and that require basic statistics suc
Penn State - CSE - 477
CSE477 VLSI Digital Circuits Fall 2001 Lecture 01: IntroductionVijay Narayanan (www.cse.psu.edu/~vijay) www.cse.psu.edu/~cg477[Adapted in part from Rabaey's Digital Integrated Circuits]CSE477 L01 Introduction.1 Irwin&Vijay, PSU, 2001Course Cont
Penn State - CSE - 477
CSE477 VLSI Digital Circuits Fall 2001 Lecture 04: CMOS Inverter (static view)Vijay Narayanan www.cse.psu.edu/~cg477[Adapted in part from Rabaey's Digital Integrated Circuits, Prentice Hall, 1995]CSE477 L04 CMOS Inverter.1 Irwin&Vijay, PSU, 2001
Penn State - CSE - 477
CSE477 VLSI Digital Circuits Fall 2001 Lecture 06: Static CMOS LogicVijay Narayanan www.cse.psu.edu/~cg477[Adapted in part from Rabaey's Digital Integrated Circuits, Prentice Hall, 1995]CSE477 L06 Static CMOS Logic.1 Irwin&Vijay, PSU, 2001CMOS
Penn State - CSE - 477
CSE477 VLSI Digital Circuits Fall 2001 Lecture 07: Pass Transistor LogicVijay Narayanan www.cse.psu.edu/~cg477[Adapted in part from Rabaey's Digital Integrated Circuits, Prentice Hall, 1995]CSE477 L07 Pass Transistor Logic.1 Irwin&Vijay, PSU, 200
Penn State - CSE - 477
CSE477 VLSI Digital Circuits Fall 2001 Lecture 08: CapacitancesVijay Narayanan www.cse.psu.edu/~cg477[Adapted in part from Rabaey's Digital Integrated Circuits, Prentice Hall, 1995]CSE477 L08 Capacitances. 1 Irwin&Vijay, PSU, 2001Review: Delay
Penn State - CSE - 477
CSE477 VLSI Digital Circuits Fall 2001 Lecture 10: Inverter, Dynamic ViewVijay Narayanan www.cse.psu.edu/~cg477[Adapted in part from Rabaey's Digital Integrated Circuits, Prentice Hall, 1995]CSE477 L10 Inverter Dynamic View.1 Irwin&Vijay, PSU, 20
Penn State - CSE - 477
CSE477 VLSI Digital Circuits Spring 2001 Lecture 12: Designing for Low PowerVijay Narayanan www.cse.psu.edu/~cg477[Adapted in part from Rabaey's Digital Integrated Circuits, Prentice Hall, 1995]CSE477 L12 Designing for Low Power.1 Irwin&Vijay, PS
Penn State - CSE - 477
CSE477 VLSI Digital Circuits Fall 2001 Lecture 17: Dynamic Sequential Circuitswww.cse.psu.edu/~cg477[Adapted in part from Rabaey's Digital Integrated Circuits, Prentice Hall, 1995]CSE477 L17 Dynamic Sequential Circuits. 1Irwin&Vijay, PSU, 2001
Penn State - CSE - 477
CSE477 VLSI Digital Circuits Fall 2001 Lecture 20: Shifters and Other Logicwww.cse.psu.edu/~cg477[Adapted in part from Rabaey's Digital Integrated Circuits, Prentice Hall, 1995]CSE477 L20 Shifters. 1Irwin&Vijay, PSU, 2001Parallel ShiftersCo
Penn State - CSE - 477
CSE477 VLSI Digital Circuits Fall 2001 Lecture 22: RAM Coreswww.cse.psu.edu/~cg477[Adapted in part from Rabaey's Digital Integrated Circuits, Prentice Hall, 1995]CSE477 L22 RAM Cores. 1 Irwin&Vijay, PSU, 2001Review: Read-Write Memories (RAMs)
Penn State - CSE - 477
CSE477 VLSI Digital Circuits Fall 2001 Lecture 23: Peripheral Memory Circuitswww.cse.psu.edu/~cg477[Adapted in part from Rabaey's Digital Integrated Circuits, Prentice Hall, 1995]CSE477 L23 Memory Peripherals. 1Irwin&Vijay, PSU, 2001Review:
Stanford - CS - 374
CS374: Algorithms in BiologyHieu NguyenAdditional Paper for Lecture 11: "Metabolic Engineering" Paper Reference S. Picataggio. Potential impact of synthetic biology on the development of microbial systems for the production of renewable fuels and
Los Angeles Southwest College - MATH - 511
Los Angeles Southwest College - MATH - 511
Los Angeles Southwest College - MATH - 511
Los Angeles Southwest College - MATH - 511
Los Angeles Southwest College - MATH - 511
Math/Stat 511February 22, 2001Using Excel to Compute and Plot PMF'sExample 1Binomial Distribution for n= 3 independent Bernoulli trails, with p=1/3. Here x denotes the number of successes. The Excel function is BINOMDIST(x,3,1/3,FALSE).Binomia
Los Angeles Southwest College - MATH - 511
Math/Stat 511February 22, 2001Using Excel to Compute and Plot PMF'sExample 1Binomial Distribution for n= 3 independent Bernoulli trails, with p=1/3. Here x denotes the number of successes. The Excel function is BINOMDIST(x,3,1/3,FALSE).Binomia
Los Angeles Southwest College - MATH - 511
Los Angeles Southwest College - MATH - 511
Los Angeles Southwest College - MATH - 511
Los Angeles Southwest College - MATH - 511
Los Angeles Southwest College - MATH - 511
Wisconsin - ECE - 352
Boolean Algebra Identities and Theorems The following will be provided in the Quizzes. Please note, however, you will be able to work faster if you know these. 1. X + 0 = X 3. X + 1 = 1 5. X + X = X 7. X + X = 1 ment 2. X 1 = X 4. X 0 = 0 6. X X =
Wisconsin - ECE - 352
Last (Family) Name: First (Given) Name: Student ID:Department of Electrical and Computer Engineering University of Wisconsin - MadisonECE/Comp Sci 352 Digital System FundamentalsQuiz # 2 SolutionsOctober 25, 2001 Closed Book Examination 90 min
Georgia Tech - CEE - 200202
Name_ Homework #2: CEE 30001. You have been asked to determine the optimal capacity of a two-lane highway given the equations for total benefits and total costs. Having taken the CEE 3000 systems course, you know that the optimal value will occur w
Georgia Tech - CEE - 200202
Left Hand Side Coefficients x1 x2 x3 Objective Function Constraints Constraint #1 Constraint #2 Constraint #3 Constraint #4 Constraint #5 Yellow Teal User Entry Calculated Optimal Decision Variable Values x1 x2 x3<= 1 <= 1 <= 1 <= 1 <= 1RHS Values
Georgia Tech - CEE - 200202
CEE 3000 LP Homework Hints1. By "formulate a linear program," I mean develop and write out the mathematical expressions in the form we discussed in class, i.e., max(or min) Objective Function s.t. Constraint #1 Constraint #2etc. 2. Don't forget
Georgia Tech - CEE - 200202
CEE 3000 Solutions to HW #2 Problem 1 Problem states that optimal capacity, qo, occurs where marginal benefits equal marginal costs. Equations given are TB = 55q - 0.225q 2 TC = 25.5q + 0.47 3 Recognizing that we want to optimize total net benefit,
Georgia Tech - CEE - 200202
Mathematical Programming Cont'dCEE 3000 Mathematical OptimizationFebruary 19, 2002RememberMathematical Programming (including linear and integer programming) is a decision making tool in the planning, design, and operation of civil engineeri