Advanced Mathematics for Engineers Lecture No. 5

2012 Colorado Math Olympiad : Solutions and Lecture

The New Academic Structure, A New Era (in English)

EXCELENTE FORUM SOBRE LAS NUEVAS ESTRUCTURAS ACADEMICAS EN LA EDUCACION REALIZADO EN HONG KONG ,PARTICIPACION DE PROFESORES,CIENTIFICOS,INGENIEROS,ESTUDIANTES.

LEARNING MATHEMATICS IN SECONDARY SCHOOL: THE CASE OF MATHEMATICAL MODELLING ENABLED BY TECHNOLOGY

LEARNING MATHEMATICS IN SECONDARY SCHOOL:
THE CASE OF MATHEMATICAL MODELLING ENABLED BY
TECHNOLOGY
Jonaki B Ghosh
Lady Shri Ram College for Women, University of Delhi, New Delhi, India
jonakibghosh@gmail.com

http://www.mediafire.com/?3r8j812if2xa89c

INTEGRATION OF TECHNOLOGY INTO MATHEMATICS TEACHING: PAST, PRESENT AND FUTURE Adnan Baki Karadeniz Technical University, Fatih Education Faculty,TR

12th International Congress on Mathematical Education Program  8 July – 15 July, 2012,
 COEX, Seoul, Korea
INTEGRATION OF TECHNOLOGY INTO MATHEMATICS TEACHING: PAST, PRESENT AND FUTURE Adnan Baki Karadeniz Technical University, Fatih Education Faculty,TR abaki@ktu.edu.tr

 

http://www.icme12.org/sub/sub02_04.asp

KAIST Math Problem of the Week

SOURCE WEBSITE:
http://mathsci.kaist.ac.kr/pow/

Concluding 2012 Spring

Posted on May 29, 2012 by S. Oum

Thanks all for participating POW actively. Here’s the list of winners:

• 1st prize: Park, Minjae (박민재) – 2011학번
• 2nd prize: Lee, Myeongjae  (이명재) – 2012학번
• 3rd prize: Suh, Gee Won (서기원) – 수리과학과 2009학번
• 4th prize: Cho, Junyoung (조준영) – 2012학번
• 5th prize: Kim, Taeho (김태호) – 수리과학과 2011학번

Congratulations! As announced earlier, we have nicer prize this semester – iPad 16GB for the 1st prize, iPod Touch 32GB for the 2nd prize, etc.

Posted in annoncement | Tagged 김태호, 박민재, 서기원, 이명재, 조준영 | 2 Comments

Solution: 2012-12 Big partial sum

Posted on May 12, 2012 by S. Oum

Let A be a finite set of complex numbers. Prove that there exists a subset B of A such that

∣∣∑z∈Bz∣∣≥1π∑z∈A∣z∣.

The best solution was submitted by Minjae Park (박민재), 2011학번. Congratulations!
Here is Solution of Problem 2012-12.
Two incorrect solutions were submitted (M.J.L., W.S.J.).

Posted in solution | Tagged 박민재 | 1 Comment

Solution: 2012-11 Dividing a circle

Posted on May 12, 2012 by S. Oum

Let f be a continuous function from [0,1] such that f([0,1]) is a circle. Prove that there exists two closed intervals I1,I2⊆[0,1] such that I1∩I2 has at most one point, f(I1) and f(I2) are semicircles, and f(I1)∪f(I2) is a circle.

The best solution was submitted by Myeongjae Lee (이명재), 2012학번. Congratulations!
Here is his Solution of Problem 2012-11.
Alternative solution was submitted by 박민재(2011학번, +3). Two incorrect solutions were submitted (W.S.J., K.M.P.).

Posted in solution | Tagged 이명재 | Leave a comment

2012-13 functions for an inequality

Posted on May 11, 2012 by S. Oum

Determine all nonnegative functions f(x,y) and g(x,y) such that

(∑i=1naibi)2≤(∑i=1nf(ai,bi))(∑i=1ng(ai,bi))≤(∑i=1na2i)(∑i=1nb2i)

for all reals ai, bi and all positive integers n.

Rating: 4.5/5 (13 votes cast)

Posted in problem | Tagged characterization, function, inequality | Leave a comment

2012-12 Big partial sum

Posted on May 4, 2012 by S. Oum

Let A be a finite set of complex numbers. Prove that there exists a subset B of A such that

∣∣∑z∈Bz∣∣≥1π∑z∈A∣z∣.

Rating: 4.5/5 (14 votes cast)

Posted in problem | Tagged complex, sum | 1 Comment

Solution: 2012-10 Platonic solids

Posted on April 27, 2012 by S. Oum

Determine all Platonic solids that can be drawn with the property that all of its vertices are rational points.

The best solution was submitted by Myeongjae Lee (이명재), 2012학번. Congratulations!
Here is his Solution of Problem 2012-10.
Alternative solutions were submitted by 박민재 (2011학번, +3, Solution), 정우석 (서강대학교 2011학번, +3), 박훈민 (대전과학고 2학년, +2). One incorrect solution was submitted (G.S.).

Intro to Number Theory TA : Rakyong Choi Homework 12 1 Section 15.2

http://www.mediafire.com/?dcv3g2j9dmw2vit

PROBLEMS Elementary Number Theory

http://www.mediafire.com/?s599plaob0dt092