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2015. Linear Algebra - matrix.skku.ac.kr

- 1 -2015. Linear Algebra flipped-class , . , Q&A PBL . , Pass , . by - - Flipped PBL class1. 2. 3. Flipped Class ?4. 5. (Sage )6. Q&A ( , , , PBL )7. / 8. 1. Bigbook - Linear Algebra ( PDF ) ( ) : with Sage and (2015 , - ) lFullcourse CAS ( ): 2 -2.

- 1 - 2015. Linear Algebra 이번학기 선형대수학 flipped-class 강좌를 처음 접하면서, 다른 강좌들과 사뭇 다른 점이 많아 적

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Transcription of 2015. Linear Algebra - matrix.skku.ac.kr

1 - 1 -2015. Linear Algebra flipped-class , . , Q&A PBL . , Pass , . by - - Flipped PBL class1. 2. 3. Flipped Class ?4. 5. (Sage )6. Q&A ( , , , PBL )7. / 8. 1. Bigbook - Linear Algebra ( PDF ) ( ) : with Sage and (2015 , - ) lFullcourse CAS ( ): 2 -2.

2 1 First class Inner product, Orientation , ( )2 Vector ( ): , , : * , Matrix : , , , , Change of basis. Similar matrices (3 PBL )5 Quiz 1, Determinat : , , * , Linear Transformations: , Linear transformations and their matrix , , * , CAS system ( PBL )8 Chapter 1-6 Mid term Exam and Project Proposal ( )9* Matrix Model : Chapter 5 Sketch Dimension and Subspaces : , , , , * , * , , Review Orthogonal and orthonormal bases and the Gram-Schmidt process12 Diagonalization : , Orthogonal matrices, orthogonal , * , * , , orthogonal diagonalisability14* , Chapter 8 Review : Quadratic definite quadratic forms15 General Vector Spaces : , * , * , Inner product spaces. Jacobian matrix.

3 Hessian matrix Fourier series (Final PBL )16Ch 7-8-9 Project Presentation and Final Exam ( ) (20%), (30%), / (10%), / (20%), / QnA ( 10%+ 10%)3. Fliped Class Youtube i-campus Q&A sage Q&A Q&A Revise&Final , , , , . , .. : - 3 - ( ), i-campus.

4 , .4. (2015 1 Youtube )- 4 -4(5-6 ) 4-1 Determinant 's & (Lecture)- ProfSang-GuLee,SKKUCH. Section 0( ) PBL - Flipped Learning 1(1 ) 1-1 (2 ) 2-1 Jordan 2-3 Appl of (3-4 ) 3-1 5 -8(11-12 ) 8-1 Matrix of LT ABwoKAN48-4 Quadratic ofQuadratic 5(8 - ) 5-1 Power (7 ) 6-1 6-4 Compositeand 7(9-10 ) 7-1 Basis 7-2 ofRank- ofSchur - 6 -8-6 Singular 8-7 Complex (13-14 ) 9-1 Vector (15 ) 16 Jordan (with Sage)10-1 JordanCanonical ,Artand3 by **& , PBL by PBL ppt by (Sage ) Firefox Chrome ID : math2013, PW.

5 M** / ( , , , )- 7 - : 6. Q&A ( , , , PBL ) , . Q&A , Revise&Finalize ( Quiz ) Q&A - , Q&A Finalize, Final OK by SGLee , Quiz . 10 0 2 A F 15 Quiz .. , . Q&A . 1970 = (1970-426( )-157( )) / 40( ) = 34 : 130 ( )- 8 -A=matrix(ZZ,4,4,[1,2,1,4,2,-3,1,-1,3,4, 5,-2,1,1,3,-4])b=vector([0,1,-2,-2]) () (b).

6 Rank() Solved by Final OK by Final OK by SG. Lee ( ) P253 3 : . : .Sage rank A rank Ab . -PBL Q&A , , , Fliped class , , Q&A !! - 9 -45 . Spring 2015, Linear [New ] . LA Mid ..47 Flipped/PBL Class ( .. 2015 Spring LA ( ) 1 Greetings! LA Info 1! ..2 Greetings! LA Info 2! 2 ..3 1 ! 42 Linear Algebra Lecturs in Youtube : ..7 LA Sample ..9[ ] on Youtube.)

7 11[ ] 5 6 ..12LA-PBL- - -1 ( - ) ..14 Reference : Sample Exam15 Sage ! 164 14-15-16 Finalized ..17LA Englishbook Chapter 6 and 7 18 One Free LA Book of my Friend (Flipped Learnung ..205 7 LA Graded Problems ..21 Sage ? 22 Lecture - Linear Algebra ..235 26 LA Graded Problems ..24 PBL ..256 2-3 LA Graded Problems ..26 Office Hour : Tuesday PM 3-5, Room 1 ..29 Introductory Linear Algebra ..302015 : ..31 New Greetings! LA Flipped Class : 2: PBL (3 [ ]2015 3 31 ..34 -3 -PBL, version of Our LA Book Chapter.))

8 36[ ] 3 PBL / Tentativev ..37 [Notice] 2 (The first or The 2~ [New- (Tentative)] ..41[Sample] PBL ..42 , QnA ..43LA-PBL_3-4 - - ..44 (Tentative),..- 10 -48 , Final ..49[ - Sample]50 3-4 pbl ..514/5~4/11 QnA .523/28 ~ 4/4 QnA .(..53 [Final- OK-SGLee] ..54 5 QnA Tentative ..553/28~4/4 QnA .56 Final Exam ..57 ..5815 Final Sample Exam ..59 QnA ..60 ; ; ; ; ..61 . Final PBL ..622015 Joint Conference of the KKMS and + Final PBL ( final pbl.)))

9 65 Sage Notebook : , ..665 18 LA Graded Problems ..6711 . A, B, C, D, F 68 JAVA : JAVA ..69 for ..70 " ", 1332 ,..71[HOT100] ? Think , 2 ..IndexContents1 Linear equations and Scalar Vector Matrix Inverse Blackout Game and Interactive (GeoGebra+Sage+ + )- 11 -9 Vector equations of Least square Eigenvalues and Linear Linear Linear Linear Linear Linear Quadratic Fourier Jordan Canonical Matrix Calculus, , 3 Linear Combination( ) - 12 - Volume of Power-Method-Algorithm Gram-Schmidt 8.

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