Korean J. Math. Vol. 21 No. 4 (2013) pp.503-521
DOI: https://doi.org/10.11568/kjm.2013.21.4.503

Sage matrix calculator and full Sage contents for linear algebra

Main Article Content

Sang-Gu Lee
Kyung-Won Kim
Jae Hwa Lee

Abstract

For over 20 years, the issue of using an adequate CAS tool in teaching and learning of linear algebra has been raised constantly. And a variety of CAS tools were introduced in many linear algebra textbooks. In Korea, however, because of some realistic problems, they have not been introduced in the class and the theoretical aspect of linear algebra has been focused on in teaching and learning of it.

In this paper, we suggest Sage as an alternative for CAS tools overcoming the problems mentioned above. And, we introduce full contents for linear algebra and matrix calculator that Sage was used to develop. Taking advantage of them, almost all the concepts of linear algebra can be easily covered and the size of matrices can be expanded without difficulty.



Article Details

References

[1] gangju*jeonmyeongjin*hansung, MAPLEgwa hamgge haneun seonhyeongdaesuhag, gyeongmunsa, 2002. Google Scholar

[2] gorae*gimseon*bagjin*gu, moba hwangyeongseo Sage-Math gaebalgwa seonhyeongdaesuhag seo hwalyong, Han Guo Shu Xue Jiao Yu Xue Hui Zhi sirijeu E 23 (3) (2009), 483-506. Google Scholar

[3] yuggwahaggisulbu, suhagyug seonjinhwa bangan(yuggwahaggisulbu 2012nyeon 1weol 10 boryo). Google Scholar

[4] gimnam, yebi suhag sa yugseo gonghag gu yug hwalyong, daehansuhagyughaghoeji suhagyughagyeongu 21 (4) (2011), 345-359. Google Scholar

[5] gimseon*bagjin*gu, 21segi seonjinhyeong ICT suhag yug bangbeobron mo, Han Guo Shu Xue Jiao Yu Xue Hui Zhi sirijeu E 22 (4) (2008), 533-543. Google Scholar

[6] gimseon*gu*jeonggyeonghun*seolhangug, seonhyeongdaesuhag yug yongneun yangbanghyang konceu giban MathMLgwa JAVAgu gwanhan yeongu, Han Guo Shu Xue Jiao Yu Xue Hui Zhi sirijeu A 47 (1) (2008), 75-89. Google Scholar

[7] gimcanggeun*songgweon*yanggyun, MATLAB yonghan seonhyeongdaesuhag(gaejeong), usa 2008. Google Scholar

[8] gimhan*gimhyangsug*baehwasu*byeonggeun, MATHEMATICAreul yonghan seonhyeongdaesuhag(gaejeong), usa, 2004. Google Scholar

[9] songgweon, seonhyeongdaesuhag-MATLAB yonghan munjepul, usa, 2011. Google Scholar

[10] gu*yangjeongmo*Wellman, R., 7ca yuggwajeong suhagseo gonghag gu yong gwanhayeo, Han Guo Shu Xue Jiao Yu Xue Hui Zhi sirijeu E 11 (2001), 355-365. Google Scholar

[11] jeongju*bagjongryul*gimuyeol*minjeong*jeonghwa, MATHEMATICAro baeuneun seonhyeongdaesuhag, gyeongmunsa, 2000. Google Scholar

[12] joae*gweonjin, suhagyug gonghag gu hwalyong daehan sadeul gwa hwalseonghwa bang an, gwayugyeongu 1 (1) (2008), 1-29. Google Scholar

[13] jusunjong*gimhwan, junghag 1hagnyeon hamsujiseo gonghag gu hwalyong gwanhan yeongu, hangug hagsuhaghoenonmunjib 12 (3) (2009), 189-209. Google Scholar

[14] Bahns, D. and Schweigert, C., Softwarepraktikum - Analysis und Lineare Algebra: Ein MAPLE-Arbeitsbuch mit vielen Beispielen und Lösungen, Vieweg+Teubner, 2007. Google Scholar

[15] Butt, R., Applied Linear Algebra and Optimization Using MATLAB, Mercury Learning & Information, 2011. Google Scholar

[16] Golubitsky, M. and Dellnitz, M., Linear Algebra and Differential Equations Using MATLAB, Brooks Cole, 1999. Google Scholar

[17] Griffith, S. and Liyanage, L., An introduction to the potential of social networking sites in education, Emerging Technologies Conference 2008, 76-81. [18] Hardy, K., Linear Algebra for Engineers & Scientists Using MATLAB, Google Scholar

[18] Prentice Hall, 2004. Google Scholar

[19] Hill, D. R. and Zitarelli, D., Linear Algebra Labs with MATLAB, Prentice Hall, 1996. Google Scholar

[20] Kim, D. -S., Markowsky, G. and Lee, S. -G., Mobile Sage-Math for linear algebra and its application, Electronic Journal of Mathematics and Technology 4 (3) (2010), 1-13. Google Scholar

[21] Kleinfeld, E. and Kleinfeld, M., Understanding Linear Algebra Using MATLAB, Prentice Hall, 2001. Google Scholar

[22] Mazer, J. P., Murphy, R. E. & Simonds, C. J., I will see you on Facebook: The Effects of Computer-Mediated Teacher Self-Disclosure on Student Motivation, Affective Learning, and Classroom Climate, Communication Education 56 (1) (2007), 1-17. Google Scholar

[23] Shiskowski, K. and Frinkle, K., Principles of Linear Algebra with Maple, Wiley, 2010. Google Scholar

[24] Strampp, W., Lineare Algebra mit Mathematica und Maple, Vieweg, 1999. Google Scholar

[25] Szabo, F., Linear Algebra: An Introduction Using Mathematica, Academic Press, 2000.[26] Torrence, B. F. and Torrence, E. A., The Student's Introduction to Mathematica: A Handbook for Precalculus, Calculus, and Linear Algebra, 2nd ed., Cambridge University Press, 2009. Google Scholar