Linear Algebra & Differential Equations


Sample SageMath Codes for

Linear Algebra & Differential Equations

 

1. Vector Computations

[참고] (한글) http://matrix.skku.ac.kr/LA-K/Ch-1/

        (영문) http://matrix.skku.ac.kr/LA/Ch-1/

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2. Matrix Computations

(1) RREF

[참고] (한글) http://matrix.skku.ac.kr/LA-K/Ch-2/

        (영문) http://matrix.skku.ac.kr/LA/Ch-2/

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(2) Determinant

[참고] (한글) http://matrix.skku.ac.kr/LA-K/Ch-4/

        (영문) http://matrix.skku.ac.kr/LA/Ch-4/

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(3) Basis and Dimension

[참고] (한글) http://matrix.skku.ac.kr/LA-K/Ch-7/

        (영문) http://matrix.skku.ac.kr/LA/Ch-7/

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(4) Eigensystem

[참고] (한글) http://matrix.skku.ac.kr/LA-K/Ch-4/

        (영문) http://matrix.skku.ac.kr/LA/Ch-4/

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3. Differential Equations

(1) 1st order ODE

[참고]  http://www.hanbit.co.kr/EM/sage/1_chap3.html

 

   - initial value problem

예제 2-2




   - integrating factor

예제 4-1




예제 4-1




(2) 2nd order ODE

[참고]  http://www.hanbit.co.kr/EM/sage/1_chap4.html

 

예제 1-4







(3) Higher order ODE

[참고]  http://www.hanbit.co.kr/EM/sage/1_chap5.html

 

예제 2-1




예제 2-1




예제 2-1

(4) Systems of DEs

[참고]  http://www.hanbit.co.kr/EM/sage/1_chap6.html

 

예제 2-2










예제 2-2




(5) Laplace Transform

[참고]  http://www.hanbit.co.kr/EM/sage/1_chap8.html

 

예제 4-7 













(Practice your own SageMath codes in the cells below.)







[References]

1. [Bigbook] Linear Algebra (English version), Sang-Gu Lee et al., Kyobo Books, POD (2016. 1.20)

   http://matrix.skku.ac.kr/2015-Album/Big-Book-LinearAlgebra-Eng-2015.pdf

2. [빅북] 선형대수학 (Korean), 이상구 with 이재화, 김경원, 교보문고 POD (2014. 9. 12)

   http://matrix.skku.ac.kr/2015-Album/BigBook-LinearAlgebra-2015.pdf

18. 현대선형대수학 with Sage (Linear Algebra with Sage), 이상구 with 이재화, 김덕선. ISBN 978-89-6105-568-0, 경문사 (2012, 9. 1.).

3. 최신 공학수학 with Sage, 이상구, 김영록, 박준현, 김응기, 이재화, 한빛아카데미 (2016, 1. 12)

 

[Cyber/Online Laboratories]

[Linear Algebra]

 1. (국문) http://matrix.skku.ac.kr/LA-K/

 2. (English version) http://matrix.skku.ac.kr/LA/

 3. Lab manual  http://matrix.skku.ac.kr/Lab-Book/Sage-Lab-Manual-2.htm

[Engineering Mathematics]

 1. (Korean) http://www.hanbit.co.kr/EM/sage/

 

 

Copyright @ 2017 SKKU Matrix Lab. All rights reserved.
Made by Manager: Prof. Sang-Gu Lee and Dr. Jae Hwa Lee
*This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2017R1D1A1B03035865).