Ross math program application

Explain your reasoning. Find a point P with the property that all those distances are different. Justify your answer. That is, prove that the point you chose has the stated property. To form such a sum, choose a subset of the sequence 1, 2, 4, 8, 16, 32, 64,. List the numbers in that subset in increasing order no repetitions allowed , and combine them with alternating plus and minus signs. For example, a Is every positive integer expressible in this fashion?

If so, give a convincing proof. Given a number n, how many different ways are there to write n in this way? Explain why your answer is correct.

Results page. New Example Keyboard Solve. Ross Program Application Problems 1 The letters a 1 , a 2 , a 3 , a 4 , a 5 , a 6 , a 7 represent seven positive whole numbers.

That math camp has been cancelled for The Ross Program is an intensive summer experience designed to encourage motivated pre-college students to explore mathematics. During those weeks, students are immersed in a world of mathematical discovery. Arnold Ross founded this multi-level program at Notre Dame University in Its growth was then spurred by the launch of the Sputnik satellite and the subsequent surge of interest in science education.

In the Program moved to Ohio Dominican University. In and the Ross Program was entirely online, but in-person sessions will resume in Our central goal has always been to instruct bright young students in the art of mathematical thinking and to inspire them to discover for themselves that abstract ideas are valuable and important. First year participants take the basic course in number theory. For most students, this is the first time they are asked to consider entirely new questions, to develop methods that they have not seen before, and to justify every answer.

The value of a mathematics education lies not only in obtaining proficiency in computational tasks, but also in building a foundation for critical thinking. Students who have never asked why things work the way they do are not prepared to lead the way to future scientific innovation. It is precisely this independence of thought and questioning attitude that the Ross Program strives to nurture.

Ambitious pre-college students with interests in mathematics and science are invited to apply. First-year students range in age from 15 to 18 years old. In rare cases, younger or older students are accepted.

Undergraduate math majors and math graduate students are invited to apply to be a Ross Counselor. The Ross Program cannot accommodate students who must arrive more than two days after the start of classes. Those funds are used to pay for six weeks of room and board, to hire instructors and counselors, and to cover incidental costs of developing and running math courses.

NOTE: Financial aid is certainly available. Accepted applicants are encouraged to apply for aid if their families have some financial need.