Math 211b – Homework
نویسنده
چکیده
This equation is regular and already in normal form. We obtain the eigenvalues from the characteristic equation: α + ω = 0 α = −ω α = ±iω This gives {e} as eigenfunctions. However, since the original equation has real coefficients, we would like a basis of real-valued eigenfunctions. Since Re(e) = cosωx and Im(e) = sinωx, we take {cosωx, sinωx} as a basis. Thus the eigenfunctions of (?1) are all of the form u(x) = c1 cosωx+ c2 sinωx. Now we use the initial conditions: u(a) = c1 cosωa+ c2 sinωa = 0 u(b) = c1 cosωb+ c2 sinωb = 0
منابع مشابه
When Homework is a Waste of Time
The evidence suggests that as of now, homework isn’t making the grade. Although surveys show that the amount of time our children spend on homework has risen over the past three decades, American students are mired in the middle of international academic rankings: 17th in reading, 23rd in science, and 31st in math, according to the latest results from the Program for International Student Asses...
متن کاملTowards Uncovering the Mysterious World of Math Homework
Homework has been a mysterious world to educators due to the fact that it is hard to collect data with regard to homework behaviors. Little is known about when a student works on homework, how long it takes him to complete the homework, how much time he spends on a problem and whether and where he has struggled, etc. Such information not only have implications on a student’s performance level o...
متن کاملHomework Involvement and Academic Achievement of Native and Immigrant Students
Homework is a debated issue in society and its relationship with academic achievement has been deeply studied in the last years. Nowadays, schools are multicultural stages in which students from different cultures and ethnicities work together. In this sense, the present study aims to compare homework involvement and academic achievement in a sample of native and immigrant students, as well as ...
متن کاملThe Effectiveness of Weekly Supervised Homework Sessions in an Aerospace Structural Mechanics Course
AAE 35200 is an aerospace structural mechanics course for third-year students majoring in Aeronautical and Astronautical Engineering at Purdue University. In AAE 35200, students were given the opportunity to attend weekly optional one-hour supervised homework sessions instructed by a graduate teaching assistant (TA) during the Fall 2015 semester. The contents of the supervised homework session ...
متن کامل