From 21c61cdc8da557a10d9f114de67e831dfbec1a6b Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Wed, 13 Nov 2019 16:06:07 -0500 Subject: [PATCH 01/19] Add sample syllabus leaf page bundle. --- app/site/content/syllabus/index.md | 50 ++++++++++++++++++++++++++++++ 1 file changed, 50 insertions(+) create mode 100644 app/site/content/syllabus/index.md diff --git a/app/site/content/syllabus/index.md b/app/site/content/syllabus/index.md new file mode 100644 index 000000000..d64d54971 --- /dev/null +++ b/app/site/content/syllabus/index.md @@ -0,0 +1,50 @@ +--- +title: "Syllabus" +--- +## Course Meeting Times +Lectures: 3 sessions / week, 1 hour / session + +Recitations: 1 session / week, 1 hour / session + +## Prerequisites +Multivariable Calculus (18.02) + +## Text +The readings are assigned in: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 4th ed. Wellesley-Cambridge Press, 2009. ISBN: 9780980232714. + +Reading assignments are also provided for the newer edition: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. + +NOTE: More material on linear algebra (and much more about differential equations) is in Professor Strang's 2014 textbook Differential Equations and Linear Algebra. In 2016, the textbook was developed into a series of 55 short videos, Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler. + +## Goals +The goals for 18.06 are using matrices and also understanding them. + +Here are key computations and some of the ideas behind them: + + +1. Solving Ax = b for square systems by elimination (pivots, multipliers, back substitution, invertibility of A, factorization into A = LU) +2. Complete solution to Ax = b (column space containing b, rank of A, nullspace of A and special solutions to Ax = 0 from row reduced R) +3. Basis and dimension (bases for the four fundamental subspaces) +4. Least squares solutions (closest line by understanding projections) +5. Orthogonalization by Gram-Schmidt (factorization into A = QR) +6. Properties of determinants (leading to the cofactor formula and the sum over all n! permutations, applications to inv(A) and volume) +7. Eigenvalues and eigenvectors (diagonalizing A, computing powers A^k and matrix exponentials to solve difference and differential equations) +8. Symmetric matrices and positive definite matrices (real eigenvalues and orthogonal eigenvectors, tests for x'Ax > 0, applications) +9. Linear transformations and change of basis (connected to the Singular Value Decomposition - orthonormal bases that diagonalize A) +10. Linear algebra in engineering (graphs and networks, Markov matrices, Fourier matrix, Fast Fourier Transform, linear programming) + +## Homework +The homeworks are essential in learning linear algebra. They are not a test and you are encouraged to talk to other students about difficult problems-after you have found them difficult. Talking about linear algebra is healthy. But you must write your own solutions. + +## Exams +There will be three one-hour exams at class times and a final exam. The use of calculators or notes is not permitted during the exams. + +## Grading +| ACTIVITIES | PERCENTAGES | +| ------------------- | ----------- | +| Problem sets | 15% | +| Three one-hour exams | 45% | +| Final exam | 40% | + +## MATLAB® +Some homework problems will require you to use MATLAB, an important tool for numerical linear algebra. No previous MATLAB experience is required in 18.06. The related resources section has links to information about MATLAB, including a tutorial. \ No newline at end of file From 41cd47097258291bc2d93f1eec1f378ed999e5f3 Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Wed, 13 Nov 2019 16:06:55 -0500 Subject: [PATCH 02/19] Clean formatting on syllabus page. --- app/site/content/syllabus/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/app/site/content/syllabus/index.md b/app/site/content/syllabus/index.md index d64d54971..65111e659 100644 --- a/app/site/content/syllabus/index.md +++ b/app/site/content/syllabus/index.md @@ -41,7 +41,7 @@ There will be three one-hour exams at class times and a final exam. The use of c ## Grading | ACTIVITIES | PERCENTAGES | -| ------------------- | ----------- | +| -------------------- | ----------- | | Problem sets | 15% | | Three one-hour exams | 45% | | Final exam | 40% | From b72d69e3246e26b15164366c8f77c2a357eed273 Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Wed, 13 Nov 2019 16:24:30 -0500 Subject: [PATCH 03/19] Add sample calendar section --- app/site/content/calendar/index.md | 45 ++++++++++++++++++++++++++++++ 1 file changed, 45 insertions(+) create mode 100644 app/site/content/calendar/index.md diff --git a/app/site/content/calendar/index.md b/app/site/content/calendar/index.md new file mode 100644 index 000000000..2da0e53b7 --- /dev/null +++ b/app/site/content/calendar/index.md @@ -0,0 +1,45 @@ +--- +title: "Calendar" +--- +| SES # | TOPICS | KEY DATES | +|-------|------------------------------------------|--------------------| +| 1 | The geometry of linear equations | | +| 2 | Elimination with matrices | | +| 3 | Matrix operations and inverses | | +| 4 | LU and LDU factorization | | +| 5 | Transposes and permutations | Problem set 1 due | +| 6 | Vector spaces and subspaces | | +| 7 | The nullspace: Solving Ax = 0 | | +| 8 | Rectangular PA = LU and Ax = b | Problem set 2 due | +| 9 | Row reduced echelon form | | +| 10 | Basis and dimension | | +| 11 | The four fundamental subspaces | Problem set 3 due | +| 12 | Exam 1: Chapters 1 to 3.4 | | +| 13 | Graphs and networks | | +| 14 | Orthogonality | Problem set 4 due | +| 15 | Projections and subspaces | | +| 16 | Least squares approximations | | +| 17 | Gram-Schmidt and A = QR | Problem set 5 due | +| 18 | Properties of determinants | | +| 19 | Formulas for determinants | | +| 20 | Applications of determinants | Problem set 6 due | +| 21 | Eigenvalues and eigenvectors | | +| 22 | Diagonalization | | +| 23 | Markov matrices | Problem set 7 due | +| 24 | Review for exam 2 | | +| 25 | Exam 2: Chapters 1-5, 6.1-6.2, 8.2 | | +| 26 | Differential equations | | +| 27 | Symmetric matrices | | +| 28 | Positive definite matrices | | +| 29 | Matrices in engineering | Problem set 8 due | +| 30 | Similar matrices | | +| 31 | Singular value decomposition | Problem set 9 due | +| 32 | Fourier series, FFT, complex matrices | | +| 33 | Linear transformations | | +| 34 | Choice of basis | Problem set 10 due | +| 35 | Linear programming | | +| 36 | Course review | | +| 37 | Exam 3: Chapters 1-8 (8.1, 2, 3, 5) | | +| 38 | Numerical linear algebra | | +| 39 | Computational science | | +| 40 | Final exam | | \ No newline at end of file From fcd4d05b55c1a011af4287564a89c59e18d2bd8f Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Wed, 13 Nov 2019 16:58:35 -0500 Subject: [PATCH 04/19] Add sample assignments page. --- app/site/content/assignments/index.md | 77 +++++++++++++++++++++++++++ 1 file changed, 77 insertions(+) create mode 100644 app/site/content/assignments/index.md diff --git a/app/site/content/assignments/index.md b/app/site/content/assignments/index.md new file mode 100644 index 000000000..cd97fa406 --- /dev/null +++ b/app/site/content/assignments/index.md @@ -0,0 +1,77 @@ +--- +title: "Assignments" +--- +The problem sets make up 15% of the course grade. Problems are assigned from the required text: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 4th ed. Wellesley-Cambridge Press, 2009. ISBN: 9780980232714. + +## Problem set 1 - (PDF) +### Do problems: + +- 23 and 28 from section 1.2 +- 4 and 13 from section 1.3 +- 29 and 30 from section 2.1 +- 20 and 32 from section 2.2 +- 22 and 29 from section 2.3 +- 32 and 36 from section 2.4 +- 7 from section 2.5 + +## Problem set 2 - (PDF) +### Do problems: + +- 24 and 40 from section 2.5 +- 13, 18, 25, and 26 from section 2.6 +- 13, 36, and 40 from section 2.7 +- 18, 23, 30, and 32 from section 3.1 + +## Problem set 3 - (PDF) +### Do problems: + +- 18, 24, 36, and 37 from section 3.2 +- 19, 25, 27, and 28 from section 3.3. Problem 17 is optional but recommended +- 13, 25, 28, 35 (MATLAB recommended) and 36 from section 3.4 + +## Problem set 4 - (PDF) +### Do problems: + +- 2, 20, 37, 41, and 44 from section 3.5 +- 11, 24, 28 (with challenge subpart), 30, and 31 from section 3.6 + +## Problem set 5 - (PDF) +- 7, 9, 31 (verify this with MATLAB on a 6 by 12 matrix), 32, and 33 from section 4.1 +- 13, 16, 17, 30, 31, and 34 from section 4.2 +- 13 (MATLAB allowed) and 17 from section 8.2 + +## Problem set 6 - (PDF) +### Do problems: + +- 4, 7, 9, 26 and 29 from section 4.3 +- 10, 18, 35, and 36 from section 4.4 +- 10, 18, 31, and 32 from section 5.1 (the last two will be treated as challenge problems) + +## Problem set 7 - (PDF) +### Do problems: + +- 16, 32, and 33 from section 5.2 +- 8, 28, 40, and 41 from section 5.3 +- 19 and 29 from section 6.1 +- 6, 16, and 37 from section 6.2 +- Challenge problem in MATLAB + +## Problem set 8 - (PDF) +### Do problems: + +- 14, 24, 28, 29, and 30 from section 6.3 +- 7, 10, 23, 28, and 30 from section 6.4 +- 9, 12, and 16 (counts as a challenge problem, MATLAB allowed) from section 8.3 + +## Problem set 9 - (PDF) +### Do problems: + +- 25, 26, 27, 29, 32, 33, 34, and 35 from section 6.5 +- 3, 5, 7, 10, and 11 from section 8.1 (last two count as challenge problems) + +## Problem set 10 - (PDF) +### Do problems: + +- 12, 14, 20, 22, 23, and 24 from section 6.6. +- 4, 11, and 17 from section 6.7. +- 4, 5, 12, and 13 from section 8.5 (last two count as challenge problems) \ No newline at end of file From 234086dd79cdaee9b0de57c1f6174f0e3bb1ccd0 Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Thu, 14 Nov 2019 11:18:06 -0500 Subject: [PATCH 05/19] Add assignment PDF's to assignments leaf bundle. --- .../assignments/MIT18_06S10_pset10_s10_sol.pdf | Bin 0 -> 193967 bytes .../assignments/MIT18_06S10_pset1_s10_soln.pdf | Bin 0 -> 227552 bytes .../assignments/MIT18_06S10_pset2_s10_soln.pdf | Bin 0 -> 146109 bytes .../assignments/MIT18_06S10_pset3_s10_soln.pdf 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zIs#}243#`6fbw7}odFsOM&%1opw*){qy_w!$}RvOg1Q`(euTPh05mwY9|1H3hB{ve z429l6g98psRbB`J3`B!oZv)Eva8$O30!RmV5EUN^u~9!1z(~ah1?rO8rcfx**r@q{ z0M}GL2(V$m)O7?!!YP53Dc7n`Ljmulu3sn=1EXxzUdIOmBR14I42-14M4%f-ZO{(} zMsLs$fL&_)EoTTs_FmiP(P%3c0BVe87n%)##z1QaG#gMbfz}RaHlVcwiUnxxfM$c` zWY5^J^(C~nU2dmyd8z0c{fQAP&JfPvhss;WH x4}eH`jzognR#rJVnd6SW1WMEpAe0Cz5CYE4eI=3z1cKbkx_`fluIg6S{{cY4gbM%w literal 0 HcmV?d00001 From 75b1314c2a79f5aade6c05c10ad1189b0a5d1feb Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Thu, 14 Nov 2019 12:34:02 -0500 Subject: [PATCH 06/19] Add shortcode template for a page resource link and implement it in the assignments page to generate links to the assignment PDFs. --- app/site/content/assignments/index.md | 20 +++++++++---------- .../layouts/shortcodes/resource-link.html | 1 + 2 files changed, 11 insertions(+), 10 deletions(-) create mode 100644 app/site/layouts/shortcodes/resource-link.html diff --git a/app/site/content/assignments/index.md b/app/site/content/assignments/index.md index cd97fa406..37f9c5b58 100644 --- a/app/site/content/assignments/index.md +++ b/app/site/content/assignments/index.md @@ -3,7 +3,7 @@ title: "Assignments" --- The problem sets make up 15% of the course grade. Problems are assigned from the required text: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 4th ed. Wellesley-Cambridge Press, 2009. ISBN: 9780980232714. -## Problem set 1 - (PDF) +## Problem set 1 - {{< resource-link filename="MIT18_06S10_pset1_s10_soln.pdf" text="(PDF)" >}} ### Do problems: - 23 and 28 from section 1.2 @@ -14,7 +14,7 @@ The problem sets make up 15% of the course grade. Problems are assigned from the - 32 and 36 from section 2.4 - 7 from section 2.5 -## Problem set 2 - (PDF) +## Problem set 2 - {{< resource-link filename="MIT18_06S10_pset2_s10_soln.pdf" text="(PDF)" >}} ### Do problems: - 24 and 40 from section 2.5 @@ -22,32 +22,32 @@ The problem sets make up 15% of the course grade. Problems are assigned from the - 13, 36, and 40 from section 2.7 - 18, 23, 30, and 32 from section 3.1 -## Problem set 3 - (PDF) +## Problem set 3 - {{< resource-link filename="MIT18_06S10_pset3_s10_soln.pdf" text="(PDF)" >}} ### Do problems: - 18, 24, 36, and 37 from section 3.2 - 19, 25, 27, and 28 from section 3.3. Problem 17 is optional but recommended - 13, 25, 28, 35 (MATLAB recommended) and 36 from section 3.4 -## Problem set 4 - (PDF) +## Problem set 4 - {{< resource-link filename="MIT18_06S10_pset4_s10_soln.pdf" text="(PDF)" >}} ### Do problems: - 2, 20, 37, 41, and 44 from section 3.5 - 11, 24, 28 (with challenge subpart), 30, and 31 from section 3.6 -## Problem set 5 - (PDF) +## Problem set 5 - {{< resource-link filename="MIT18_06S10_pset5_s10_soln.pdf" text="(PDF)" >}} - 7, 9, 31 (verify this with MATLAB on a 6 by 12 matrix), 32, and 33 from section 4.1 - 13, 16, 17, 30, 31, and 34 from section 4.2 - 13 (MATLAB allowed) and 17 from section 8.2 -## Problem set 6 - (PDF) +## Problem set 6 - {{< resource-link filename="MIT18_06S10_pset6_s10_soln.pdf" text="(PDF)" >}} ### Do problems: - 4, 7, 9, 26 and 29 from section 4.3 - 10, 18, 35, and 36 from section 4.4 - 10, 18, 31, and 32 from section 5.1 (the last two will be treated as challenge problems) -## Problem set 7 - (PDF) +## Problem set 7 - {{< resource-link filename="MIT18_06S10_pset7_s10_soln.pdf" text="(PDF)" >}} ### Do problems: - 16, 32, and 33 from section 5.2 @@ -56,20 +56,20 @@ The problem sets make up 15% of the course grade. Problems are assigned from the - 6, 16, and 37 from section 6.2 - Challenge problem in MATLAB -## Problem set 8 - (PDF) +## Problem set 8 - {{< resource-link filename="MIT18_06S10_pset8_s10_soln.pdf" text="(PDF)" >}} ### Do problems: - 14, 24, 28, 29, and 30 from section 6.3 - 7, 10, 23, 28, and 30 from section 6.4 - 9, 12, and 16 (counts as a challenge problem, MATLAB allowed) from section 8.3 -## Problem set 9 - (PDF) +## Problem set 9 - {{< resource-link filename="MIT18_06S10_pset9_s10_soln.pdf" text="(PDF)" >}} ### Do problems: - 25, 26, 27, 29, 32, 33, 34, and 35 from section 6.5 - 3, 5, 7, 10, and 11 from section 8.1 (last two count as challenge problems) -## Problem set 10 - (PDF) +## Problem set 10 - {{< resource-link filename="MIT18_06S10_pset10_s10_sol.pdf" text="(PDF)" >}} ### Do problems: - 12, 14, 20, 22, 23, and 24 from section 6.6. diff --git a/app/site/layouts/shortcodes/resource-link.html b/app/site/layouts/shortcodes/resource-link.html new file mode 100644 index 000000000..95e00e9f8 --- /dev/null +++ b/app/site/layouts/shortcodes/resource-link.html @@ -0,0 +1 @@ +{{ .Get "text" }} \ No newline at end of file From 6461e25722808cc29c1f6259e9fb0030ee858b89 Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Thu, 14 Nov 2019 12:42:12 -0500 Subject: [PATCH 07/19] Denote that the embedded PDF's are solutions --- app/site/content/assignments/index.md | 20 ++++++++++---------- 1 file changed, 10 insertions(+), 10 deletions(-) diff --git a/app/site/content/assignments/index.md b/app/site/content/assignments/index.md index 37f9c5b58..1c74aa6bb 100644 --- a/app/site/content/assignments/index.md +++ b/app/site/content/assignments/index.md @@ -3,7 +3,7 @@ title: "Assignments" --- The problem sets make up 15% of the course grade. Problems are assigned from the required text: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 4th ed. Wellesley-Cambridge Press, 2009. ISBN: 9780980232714. -## Problem set 1 - {{< resource-link filename="MIT18_06S10_pset1_s10_soln.pdf" text="(PDF)" >}} +## Problem set 1 - {{< resource-link filename="MIT18_06S10_pset1_s10_soln.pdf" text="(Solutions PDF)" >}} ### Do problems: - 23 and 28 from section 1.2 @@ -14,7 +14,7 @@ The problem sets make up 15% of the course grade. Problems are assigned from the - 32 and 36 from section 2.4 - 7 from section 2.5 -## Problem set 2 - {{< resource-link filename="MIT18_06S10_pset2_s10_soln.pdf" text="(PDF)" >}} +## Problem set 2 - {{< resource-link filename="MIT18_06S10_pset2_s10_soln.pdf" text="(Solutions PDF)" >}} ### Do problems: - 24 and 40 from section 2.5 @@ -22,32 +22,32 @@ The problem sets make up 15% of the course grade. Problems are assigned from the - 13, 36, and 40 from section 2.7 - 18, 23, 30, and 32 from section 3.1 -## Problem set 3 - {{< resource-link filename="MIT18_06S10_pset3_s10_soln.pdf" text="(PDF)" >}} +## Problem set 3 - {{< resource-link filename="MIT18_06S10_pset3_s10_soln.pdf" text="(Solutions PDF)" >}} ### Do problems: - 18, 24, 36, and 37 from section 3.2 - 19, 25, 27, and 28 from section 3.3. Problem 17 is optional but recommended - 13, 25, 28, 35 (MATLAB recommended) and 36 from section 3.4 -## Problem set 4 - {{< resource-link filename="MIT18_06S10_pset4_s10_soln.pdf" text="(PDF)" >}} +## Problem set 4 - {{< resource-link filename="MIT18_06S10_pset4_s10_soln.pdf" text="(Solutions PDF)" >}} ### Do problems: - 2, 20, 37, 41, and 44 from section 3.5 - 11, 24, 28 (with challenge subpart), 30, and 31 from section 3.6 -## Problem set 5 - {{< resource-link filename="MIT18_06S10_pset5_s10_soln.pdf" text="(PDF)" >}} +## Problem set 5 - {{< resource-link filename="MIT18_06S10_pset5_s10_soln.pdf" text="(Solutions PDF)" >}} - 7, 9, 31 (verify this with MATLAB on a 6 by 12 matrix), 32, and 33 from section 4.1 - 13, 16, 17, 30, 31, and 34 from section 4.2 - 13 (MATLAB allowed) and 17 from section 8.2 -## Problem set 6 - {{< resource-link filename="MIT18_06S10_pset6_s10_soln.pdf" text="(PDF)" >}} +## Problem set 6 - {{< resource-link filename="MIT18_06S10_pset6_s10_soln.pdf" text="(Solutions PDF)" >}} ### Do problems: - 4, 7, 9, 26 and 29 from section 4.3 - 10, 18, 35, and 36 from section 4.4 - 10, 18, 31, and 32 from section 5.1 (the last two will be treated as challenge problems) -## Problem set 7 - {{< resource-link filename="MIT18_06S10_pset7_s10_soln.pdf" text="(PDF)" >}} +## Problem set 7 - {{< resource-link filename="MIT18_06S10_pset7_s10_soln.pdf" text="(Solutions PDF)" >}} ### Do problems: - 16, 32, and 33 from section 5.2 @@ -56,20 +56,20 @@ The problem sets make up 15% of the course grade. Problems are assigned from the - 6, 16, and 37 from section 6.2 - Challenge problem in MATLAB -## Problem set 8 - {{< resource-link filename="MIT18_06S10_pset8_s10_soln.pdf" text="(PDF)" >}} +## Problem set 8 - {{< resource-link filename="MIT18_06S10_pset8_s10_soln.pdf" text="(Solutions PDF)" >}} ### Do problems: - 14, 24, 28, 29, and 30 from section 6.3 - 7, 10, 23, 28, and 30 from section 6.4 - 9, 12, and 16 (counts as a challenge problem, MATLAB allowed) from section 8.3 -## Problem set 9 - {{< resource-link filename="MIT18_06S10_pset9_s10_soln.pdf" text="(PDF)" >}} +## Problem set 9 - {{< resource-link filename="MIT18_06S10_pset9_s10_soln.pdf" text="(Solutions PDF)" >}} ### Do problems: - 25, 26, 27, 29, 32, 33, 34, and 35 from section 6.5 - 3, 5, 7, 10, and 11 from section 8.1 (last two count as challenge problems) -## Problem set 10 - {{< resource-link filename="MIT18_06S10_pset10_s10_sol.pdf" text="(PDF)" >}} +## Problem set 10 - {{< resource-link filename="MIT18_06S10_pset10_s10_sol.pdf" text="(Solutions PDF)" >}} ### Do problems: - 12, 14, 20, 22, 23, and 24 from section 6.6. From 2f747dcf3f4c5d4f8732f2d3295bf5fdccd016ad Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Thu, 14 Nov 2019 12:52:57 -0500 Subject: [PATCH 08/19] Add readings section --- app/site/content/readings/index.md | 50 ++++++++++++++++++++++++++++++ 1 file changed, 50 insertions(+) create mode 100644 app/site/content/readings/index.md diff --git a/app/site/content/readings/index.md b/app/site/content/readings/index.md new file mode 100644 index 000000000..5795038ee --- /dev/null +++ b/app/site/content/readings/index.md @@ -0,0 +1,50 @@ +--- +title: "Readings" +--- + +The readings are assigned in: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 4th ed. Wellesley-Cambridge Press, 2009. ISBN: 9780980232714. + +Reading assignments are also provided for the newer edition: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. + +| SES # | TOPICS | READINGS in 4th Edition | READINGS IN 5TH EDITION | +|-------|---------------------------------------|-----------------------------|-------------------------| +| 1 | The geometry of linear equations | 1.1-2.1 | 1.1-2.1 | +| 2 | Elimination with matrices | 2.2-2.3 | 2.2-2.3 | +| 3 | Matrix operations and inverses | 2.4-2.5 | 2.4-2.5 | +| 4 | LU and LDU factorization | 2.6 | 2.6 | +| 5 | Transposes and permutations | 2.7 | 2.7 | +| 6 | Vector spaces and subspaces | 3.1 | 3.1 | +| 7 | The nullspace: Solving Ax = 0 | 3.2 | 3.2 | +| 8 | Rectangular PA = LU and Ax = b | 3.3-3.4 | 3.3 | +| 9 | Row reduced echelon form | 3.3-3.4 | 3.3 | +| 10 | Basis and dimension | 3.5 | 3.4 | +| 11 | The four fundamental subspaces | 3.6 | 3.5 | +| 12 | Exam 1: Chapters 1 to 3.4 | | | +| 13 | Graphs and networks | 8.2 | 3.5, 10.1 | +| 14 | Orthogonality | 4.1 | 4.1 | +| 15 | Projections and subspaces | 4.2 | 4.2 | +| 16 | Least squares approximations | 4.3 | 4.3 | +| 17 | Gram-Schmidt and A = QR | 4.4 | 4.4 | +| 18 | Properties of determinants | 5.1 | 5.1 | +| 19 | Formulas for determinants | 5.2 | 5.2 | +| 20 | Applications of determinants | 5.3 | 5.3 | +| 21 | Eigenvalues and eigenvectors | 6.1 | 6.1 | +| 22 | Diagonalization | 6.2 | 6.2 | +| 23 | Markov matrices | 8.3 | 10.3 | +| 24 | Review for exam 2 | | | +| 25 | Exam 2: Chapters 1-5, 6.1-6.2, 8.2 | | | +| 26 | Differential equations | 6.3 | 6.3 | +| 27 | Symmetric matrices | 6.4 | 6.4 | +| 28 | Positive definite matrices | 6.5 | 6.5 | +| 29 | Matrices in engineering | 8.1 | 10.2 | +| 30 | Similar matrices | 6.6 | 6.2 | +| 31 | Singular value decomposition | 6.7 | 7.1-7.2 | +| 32 | Fourier series, FFT, complex matrices | 8.5, 10.2-10.3 | 10.5, 9.2-9.3 | +| 33 | Linear transformations | 7.1-7.2 | 8.1-8.2 | +| 34 | Choice of basis | 7.3 | 8.3 | +| 35 | Linear programming | 8.4 | 10.4 | +| 36 | Course review | | | +| 37 | Exam 3: Chapters 1-8 (8.1, 2, 3, 5) | | | +| 38 | Numerical linear algebra | 9.1-9.3 | 11.1-11.3 | +| 39 | Computational science | See the Web site for 18.085 | | +| 40 | Final exam | | | From 1b25af62a3897fb72ddcb91a2c466146e10fa621 Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Thu, 14 Nov 2019 12:54:06 -0500 Subject: [PATCH 09/19] Beautify markdown tables --- app/site/content/calendar/index.md | 84 +++++++++++++++--------------- app/site/content/syllabus/index.md | 2 +- 2 files changed, 43 insertions(+), 43 deletions(-) diff --git a/app/site/content/calendar/index.md b/app/site/content/calendar/index.md index 2da0e53b7..21cb8de8b 100644 --- a/app/site/content/calendar/index.md +++ b/app/site/content/calendar/index.md @@ -1,45 +1,45 @@ --- title: "Calendar" --- -| SES # | TOPICS | KEY DATES | -|-------|------------------------------------------|--------------------| -| 1 | The geometry of linear equations | | -| 2 | Elimination with matrices | | -| 3 | Matrix operations and inverses | | -| 4 | LU and LDU factorization | | -| 5 | Transposes and permutations | Problem set 1 due | -| 6 | Vector spaces and subspaces | | -| 7 | The nullspace: Solving Ax = 0 | | -| 8 | Rectangular PA = LU and Ax = b | Problem set 2 due | -| 9 | Row reduced echelon form | | -| 10 | Basis and dimension | | -| 11 | The four fundamental subspaces | Problem set 3 due | -| 12 | Exam 1: Chapters 1 to 3.4 | | -| 13 | Graphs and networks | | -| 14 | Orthogonality | Problem set 4 due | -| 15 | Projections and subspaces | | -| 16 | Least squares approximations | | -| 17 | Gram-Schmidt and A = QR | Problem set 5 due | -| 18 | Properties of determinants | | -| 19 | Formulas for determinants | | -| 20 | Applications of determinants | Problem set 6 due | -| 21 | Eigenvalues and eigenvectors | | -| 22 | Diagonalization | | -| 23 | Markov matrices | Problem set 7 due | -| 24 | Review for exam 2 | | -| 25 | Exam 2: Chapters 1-5, 6.1-6.2, 8.2 | | -| 26 | Differential equations | | -| 27 | Symmetric matrices | | -| 28 | Positive definite matrices | | -| 29 | Matrices in engineering | Problem set 8 due | -| 30 | Similar matrices | | -| 31 | Singular value decomposition | Problem set 9 due | -| 32 | Fourier series, FFT, complex matrices | | -| 33 | Linear transformations | | -| 34 | Choice of basis | Problem set 10 due | -| 35 | Linear programming | | -| 36 | Course review | | -| 37 | Exam 3: Chapters 1-8 (8.1, 2, 3, 5) | | -| 38 | Numerical linear algebra | | -| 39 | Computational science | | -| 40 | Final exam | | \ No newline at end of file +| SES # | TOPICS | KEY DATES | +|-------|---------------------------------------|--------------------| +| 1 | The geometry of linear equations | | +| 2 | Elimination with matrices | | +| 3 | Matrix operations and inverses | | +| 4 | LU and LDU factorization | | +| 5 | Transposes and permutations | Problem set 1 due | +| 6 | Vector spaces and subspaces | | +| 7 | The nullspace: Solving Ax = 0 | | +| 8 | Rectangular PA = LU and Ax = b | Problem set 2 due | +| 9 | Row reduced echelon form | | +| 10 | Basis and dimension | | +| 11 | The four fundamental subspaces | Problem set 3 due | +| 12 | Exam 1: Chapters 1 to 3.4 | | +| 13 | Graphs and networks | | +| 14 | Orthogonality | Problem set 4 due | +| 15 | Projections and subspaces | | +| 16 | Least squares approximations | | +| 17 | Gram-Schmidt and A = QR | Problem set 5 due | +| 18 | Properties of determinants | | +| 19 | Formulas for determinants | | +| 20 | Applications of determinants | Problem set 6 due | +| 21 | Eigenvalues and eigenvectors | | +| 22 | Diagonalization | | +| 23 | Markov matrices | Problem set 7 due | +| 24 | Review for exam 2 | | +| 25 | Exam 2: Chapters 1-5, 6.1-6.2, 8.2 | | +| 26 | Differential equations | | +| 27 | Symmetric matrices | | +| 28 | Positive definite matrices | | +| 29 | Matrices in engineering | Problem set 8 due | +| 30 | Similar matrices | | +| 31 | Singular value decomposition | Problem set 9 due | +| 32 | Fourier series, FFT, complex matrices | | +| 33 | Linear transformations | | +| 34 | Choice of basis | Problem set 10 due | +| 35 | Linear programming | | +| 36 | Course review | | +| 37 | Exam 3: Chapters 1-8 (8.1, 2, 3, 5) | | +| 38 | Numerical linear algebra | | +| 39 | Computational science | | +| 40 | Final exam | | \ No newline at end of file diff --git a/app/site/content/syllabus/index.md b/app/site/content/syllabus/index.md index 65111e659..641a6adcb 100644 --- a/app/site/content/syllabus/index.md +++ b/app/site/content/syllabus/index.md @@ -41,7 +41,7 @@ There will be three one-hour exams at class times and a final exam. The use of c ## Grading | ACTIVITIES | PERCENTAGES | -| -------------------- | ----------- | +|----------------------|-------------| | Problem sets | 15% | | Three one-hour exams | 45% | | Final exam | 40% | From a5a5cfaf16f0e87e7a862ae50d9c52ff8f18b2f6 Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Thu, 14 Nov 2019 14:52:02 -0500 Subject: [PATCH 10/19] Back off custom shortcode to use hugo bundle resources and just put assignment pdf's in the static folder for now using relative links. --- app/site/content/assignments/index.md | 20 +++++++++--------- .../layouts/shortcodes/resource-link.html | 1 - .../MIT18_06S10_pset10_s10_sol.pdf | Bin .../MIT18_06S10_pset1_s10_soln.pdf | Bin .../MIT18_06S10_pset2_s10_soln.pdf | Bin .../MIT18_06S10_pset3_s10_soln.pdf | Bin .../MIT18_06S10_pset4_s10_soln.pdf | Bin .../MIT18_06S10_pset5_s10_soln.pdf | Bin .../MIT18_06S10_pset6_s10_soln.pdf | Bin .../MIT18_06S10_pset7_s10_soln.pdf | Bin .../MIT18_06S10_pset8_s10_soln.pdf | Bin .../MIT18_06S10_pset9_s10_soln.pdf | Bin 12 files changed, 10 insertions(+), 11 deletions(-) delete mode 100644 app/site/layouts/shortcodes/resource-link.html rename app/site/{content => static}/assignments/MIT18_06S10_pset10_s10_sol.pdf (100%) rename app/site/{content => static}/assignments/MIT18_06S10_pset1_s10_soln.pdf (100%) rename app/site/{content => static}/assignments/MIT18_06S10_pset2_s10_soln.pdf (100%) rename app/site/{content => static}/assignments/MIT18_06S10_pset3_s10_soln.pdf (100%) rename app/site/{content => static}/assignments/MIT18_06S10_pset4_s10_soln.pdf (100%) rename app/site/{content => static}/assignments/MIT18_06S10_pset5_s10_soln.pdf (100%) rename app/site/{content => static}/assignments/MIT18_06S10_pset6_s10_soln.pdf (100%) rename app/site/{content => static}/assignments/MIT18_06S10_pset7_s10_soln.pdf (100%) rename app/site/{content => static}/assignments/MIT18_06S10_pset8_s10_soln.pdf (100%) rename app/site/{content => static}/assignments/MIT18_06S10_pset9_s10_soln.pdf (100%) diff --git a/app/site/content/assignments/index.md b/app/site/content/assignments/index.md index 1c74aa6bb..4aa843ed2 100644 --- a/app/site/content/assignments/index.md +++ b/app/site/content/assignments/index.md @@ -3,7 +3,7 @@ title: "Assignments" --- The problem sets make up 15% of the course grade. Problems are assigned from the required text: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 4th ed. Wellesley-Cambridge Press, 2009. ISBN: 9780980232714. -## Problem set 1 - {{< resource-link filename="MIT18_06S10_pset1_s10_soln.pdf" text="(Solutions PDF)" >}} +## Problem set 1 - [(Solutions PDF)](assignments/MIT18_06S10_pset1_s10_soln.pdf) ### Do problems: - 23 and 28 from section 1.2 @@ -14,7 +14,7 @@ The problem sets make up 15% of the course grade. Problems are assigned from the - 32 and 36 from section 2.4 - 7 from section 2.5 -## Problem set 2 - {{< resource-link filename="MIT18_06S10_pset2_s10_soln.pdf" text="(Solutions PDF)" >}} +## Problem set 2 - [(Solutions PDF)](assignments/MIT18_06S10_pset2_s10_soln.pdf) ### Do problems: - 24 and 40 from section 2.5 @@ -22,32 +22,32 @@ The problem sets make up 15% of the course grade. Problems are assigned from the - 13, 36, and 40 from section 2.7 - 18, 23, 30, and 32 from section 3.1 -## Problem set 3 - {{< resource-link filename="MIT18_06S10_pset3_s10_soln.pdf" text="(Solutions PDF)" >}} +## Problem set 3 - [(Solutions PDF)](assignments/MIT18_06S10_pset3_s10_soln.pdf) ### Do problems: - 18, 24, 36, and 37 from section 3.2 - 19, 25, 27, and 28 from section 3.3. Problem 17 is optional but recommended - 13, 25, 28, 35 (MATLAB recommended) and 36 from section 3.4 -## Problem set 4 - {{< resource-link filename="MIT18_06S10_pset4_s10_soln.pdf" text="(Solutions PDF)" >}} +## Problem set 4 - [(Solutions PDF)](assignments/MIT18_06S10_pset4_s10_soln.pdf) ### Do problems: - 2, 20, 37, 41, and 44 from section 3.5 - 11, 24, 28 (with challenge subpart), 30, and 31 from section 3.6 -## Problem set 5 - {{< resource-link filename="MIT18_06S10_pset5_s10_soln.pdf" text="(Solutions PDF)" >}} +## Problem set 5 - [(Solutions PDF)](assignments/MIT18_06S10_pset5_s10_soln.pdf) - 7, 9, 31 (verify this with MATLAB on a 6 by 12 matrix), 32, and 33 from section 4.1 - 13, 16, 17, 30, 31, and 34 from section 4.2 - 13 (MATLAB allowed) and 17 from section 8.2 -## Problem set 6 - {{< resource-link filename="MIT18_06S10_pset6_s10_soln.pdf" text="(Solutions PDF)" >}} +## Problem set 6 - [(Solutions PDF)](assignments/MIT18_06S10_pset6_s10_soln.pdf) ### Do problems: - 4, 7, 9, 26 and 29 from section 4.3 - 10, 18, 35, and 36 from section 4.4 - 10, 18, 31, and 32 from section 5.1 (the last two will be treated as challenge problems) -## Problem set 7 - {{< resource-link filename="MIT18_06S10_pset7_s10_soln.pdf" text="(Solutions PDF)" >}} +## Problem set 7 - [(Solutions PDF)](assignments/MIT18_06S10_pset7_s10_soln.pdf) ### Do problems: - 16, 32, and 33 from section 5.2 @@ -56,20 +56,20 @@ The problem sets make up 15% of the course grade. Problems are assigned from the - 6, 16, and 37 from section 6.2 - Challenge problem in MATLAB -## Problem set 8 - {{< resource-link filename="MIT18_06S10_pset8_s10_soln.pdf" text="(Solutions PDF)" >}} +## Problem set 8 - [(Solutions PDF)](assignments/MIT18_06S10_pset8_s10_soln.pdf) ### Do problems: - 14, 24, 28, 29, and 30 from section 6.3 - 7, 10, 23, 28, and 30 from section 6.4 - 9, 12, and 16 (counts as a challenge problem, MATLAB allowed) from section 8.3 -## Problem set 9 - {{< resource-link filename="MIT18_06S10_pset9_s10_soln.pdf" text="(Solutions PDF)" >}} +## Problem set 9 - [(Solutions PDF)](assignments/MIT18_06S10_pset9_s10_soln.pdf) ### Do problems: - 25, 26, 27, 29, 32, 33, 34, and 35 from section 6.5 - 3, 5, 7, 10, and 11 from section 8.1 (last two count as challenge problems) -## Problem set 10 - {{< resource-link filename="MIT18_06S10_pset10_s10_sol.pdf" text="(Solutions PDF)" >}} +## Problem set 10 - [(Solutions PDF)](assignments/MIT18_06S10_pset10_s10_soln.pdf) ### Do problems: - 12, 14, 20, 22, 23, and 24 from section 6.6. diff --git a/app/site/layouts/shortcodes/resource-link.html b/app/site/layouts/shortcodes/resource-link.html deleted file mode 100644 index 95e00e9f8..000000000 --- a/app/site/layouts/shortcodes/resource-link.html +++ /dev/null @@ -1 +0,0 @@ -{{ .Get "text" }} \ No newline at end of file diff --git a/app/site/content/assignments/MIT18_06S10_pset10_s10_sol.pdf b/app/site/static/assignments/MIT18_06S10_pset10_s10_sol.pdf similarity index 100% rename from app/site/content/assignments/MIT18_06S10_pset10_s10_sol.pdf rename to app/site/static/assignments/MIT18_06S10_pset10_s10_sol.pdf diff --git a/app/site/content/assignments/MIT18_06S10_pset1_s10_soln.pdf b/app/site/static/assignments/MIT18_06S10_pset1_s10_soln.pdf similarity index 100% rename from app/site/content/assignments/MIT18_06S10_pset1_s10_soln.pdf rename to app/site/static/assignments/MIT18_06S10_pset1_s10_soln.pdf diff --git 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.../exams/MIT18_06S10_exam2_s10_soln.pdf | Bin 0 -> 134448 bytes .../static/exams/MIT18_06S10_exam3_s10.pdf | Bin 0 -> 87730 bytes .../exams/MIT18_06S10_exam3_s10_soln.pdf | Bin 0 -> 120299 bytes 9 files changed, 14 insertions(+) create mode 100644 app/site/content/exams/index.md create mode 100644 app/site/static/exams/MIT18_06S10_Final_Answers.pdf create mode 100644 app/site/static/exams/MIT18_06S10_Final_Exam.pdf create mode 100644 app/site/static/exams/MIT18_06S10_exam1_s10.pdf create mode 100644 app/site/static/exams/MIT18_06S10_exam1_s10_sol.pdf create mode 100644 app/site/static/exams/MIT18_06S10_exam2_s10.pdf create mode 100644 app/site/static/exams/MIT18_06S10_exam2_s10_soln.pdf create mode 100644 app/site/static/exams/MIT18_06S10_exam3_s10.pdf create mode 100644 app/site/static/exams/MIT18_06S10_exam3_s10_soln.pdf diff --git a/app/site/content/exams/index.md b/app/site/content/exams/index.md new file mode 100644 index 000000000..6d6b44e87 --- /dev/null +++ b/app/site/content/exams/index.md @@ -0,0 +1,14 @@ +--- +title: "Exams" +--- + +There will be three one-hour exams at class times and a final exam. + +| EXAMS | SOLUTIONS | +|------------------------------------------------------|----------------------------------------------| +| Exam 1 [(PDF)](exams/MIT18_06S10_exam1_s10.pdf) | [(PDF)](exams/MIT18_06S10_exam1_s10_sol.pdf) | +| Exam 2 [(PDF)](exams/MIT18_06S10_exam2_s10.pdf) | [(PDF)](exams/MIT18_06S10_exam2_s10_sol.pdf) | +| Exam 3 [(PDF)](exams/MIT18_06S10_exam3_s10.pdf) | [(PDF)](exams/MIT18_06S10_exam3_s10_sol.pdf) | +| Final exam [(PDF)](exams/MIT18_06S10_Final_Exam.pdf) | [(PDF)](exams/MIT18_06S10_Final_Answers.pdf) | + +Exams and quizzes from previous years can be found in the [study materials]({{}}) section. \ No newline at end of file diff --git a/app/site/static/exams/MIT18_06S10_Final_Answers.pdf b/app/site/static/exams/MIT18_06S10_Final_Answers.pdf new file mode 100644 index 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f2d2749291020769f14f47cec2526c99d97c333d Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Thu, 14 Nov 2019 15:23:03 -0500 Subject: [PATCH 12/19] Add study materials section --- app/site/content/study-materials/index.md | 14 ++++++++++++++ 1 file changed, 14 insertions(+) create mode 100644 app/site/content/study-materials/index.md diff --git a/app/site/content/study-materials/index.md b/app/site/content/study-materials/index.md new file mode 100644 index 000000000..dbdf397ae --- /dev/null +++ b/app/site/content/study-materials/index.md @@ -0,0 +1,14 @@ +--- +title: "Study Materials" +--- +## Additional Materials from the Textbook +The textbook for this course is: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 4th ed. [Wellesley-Cambridge Press](http://www.wellesleycambridge.com/), 2009. ISBN: 9780980232714. + +The Table of Contents, Preface, and selected chapters are [freely available online](http://math.mit.edu/linearalgebra/). + +There is newer edition of the book: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. + +NOTE: More material on linear algebra (and much more about differential equations) is in Professor Strang's 2014 textbook [Differential Equations and Linear Algebra](http://www-math.mit.edu/~gs/dela). In 2016, the textbook was developed into a series of 55 short videos, [Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler](http://ocw.mit.edu/resources/res-18-009-learn-differential-equations-up-close-with-gilbert-strang-and-cleve-moler-fall-2015/index.htm). + +## Previous Years' Problem Sets and Exams +Problem sets, quizzes, and exams from [previous years are also available](http://web.mit.edu/18.06/www/old.shtml). \ No newline at end of file From 92a202c2f2c230c87672aa36e174a5604bd29723 Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Thu, 14 Nov 2019 15:38:14 -0500 Subject: [PATCH 13/19] Add tools section --- app/site/content/tools/index.md | 40 +++++++++++++++++++++++++++++++++ 1 file changed, 40 insertions(+) create mode 100644 app/site/content/tools/index.md diff --git a/app/site/content/tools/index.md b/app/site/content/tools/index.md new file mode 100644 index 000000000..17e19c617 --- /dev/null +++ b/app/site/content/tools/index.md @@ -0,0 +1,40 @@ +--- +title: "Tools" +--- +The flash animations were developed by Jean-Michel Claus (with voiceover by Gilbert Strang). We are grateful! Funding was provided by a grant from the [The d'Arbeloff Fund for Excellence in MIT Education](http://web.mit.edu/newsoffice/2000/darbeloff-1025.html) as part of The d'Arbeloff Interactive Mathematics Project (d'A I M P). + +## Matrix Multiplication +An [interactive demo](http://ocw.mit.edu/ans7870/18/18.06/tools/Applets_sound/uropmovie.html) (with voiceover explanation) on Matrix Multiplication, A = LU, and PA = LU + +## Eigenvalue Demonstrations +The demonstrations below employ Java® applets with voice-over narration to show some Eigenvalue concepts. + +Demo 1 - This 3-minute demo shows eigenvectors of 2 by 2 matrices + +The demo is also broken into 7 independent pieces: + +- [Part 1](http://ocw.mit.edu/ans7870/18/18.06/tools/Applets_sound/eigen_sound_1.html) +- [Part 2](http://ocw.mit.edu/ans7870/18/18.06/tools/Applets_sound/eigen_sound_2.html) +- [Part 3](http://ocw.mit.edu/ans7870/18/18.06/tools/Applets_sound/eigen_sound_2.html) +- [Part 4](http://ocw.mit.edu/ans7870/18/18.06/tools/Applets_sound/eigen_sound_4.html) +- [Part 5](http://ocw.mit.edu/ans7870/18/18.06/tools/Applets_sound/eigen_sound_5.html) +- [Part 6](http://ocw.mit.edu/ans7870/18/18.06/tools/Applets_sound/eigen_sound_6.html) +- [Part 7](http://ocw.mit.edu/ans7870/18/18.06/tools/Applets_sound/eigen_sound_7.html) + +[Demo 2](http://ocw.mit.edu/ans7870/18/18.06/tools/Power_method/power_method_flash.html) - Powers AnV lead toward the top eigenvalue/eigenvector + +## Mini-lectures on Eigenvalues +The mini-lectures with voice-over narration below help to explain some key Eigenvalue concepts. + +[Full Lecture](http://ocw.mit.edu/ans7870/18/18.06/tools/all/eigen_lecture_all.html) (all eight together) + +Or view individually (about 2 minutes each) + +- [det(A-\lambda I)=0](http://ocw.mit.edu/ans7870/18/18.06/tools/individual/eigen_lecture_1.html) +- [Eigenvectors and Trace](http://ocw.mit.edu/ans7870/18/18.06/tools/individual/eigen_lecture_2.html) +- [Powers](http://ocw.mit.edu/ans7870/18/18.06/tools/individual/eigen_lecture_3.html) +- [Diagonalization](http://ocw.mit.edu/ans7870/18/18.06/tools/individual/eigen_lecture_4.html) +- [Differential Equations](http://ocw.mit.edu/ans7870/18/18.06/tools/individual/eigen_lecture_5.html) +- [Symmetry](http://ocw.mit.edu/ans7870/18/18.06/tools/individual/eigen_lecture_6.html) +- [Positive Definite](http://ocw.mit.edu/ans7870/18/18.06/tools/individual/eigen_lecture_7.html) +- [SVD](http://ocw.mit.edu/ans7870/18/18.06/tools/individual/eigen_lecture_8.html) \ No newline at end of file From 3addd1cd22a6cf3a6d8f620a96f0f2a0605fe803 Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Thu, 14 Nov 2019 15:50:34 -0500 Subject: [PATCH 14/19] Add related-resources page --- app/site/content/related-resources/index.md | 52 ++++++++++++++++++ .../MIT18_06S10_gramschmidtmat.pdf | Bin 0 -> 97990 bytes .../related-resources/MIT18_06S10_matlab.pdf | Bin 0 -> 159676 bytes .../MIT18_06S10_pascal_work.pdf | Bin 0 -> 258737 bytes .../MIT18_06S10_symmbases.pdf | Bin 0 -> 76451 bytes 5 files changed, 52 insertions(+) create mode 100644 app/site/content/related-resources/index.md create mode 100644 app/site/static/related-resources/MIT18_06S10_gramschmidtmat.pdf create mode 100644 app/site/static/related-resources/MIT18_06S10_matlab.pdf create mode 100644 app/site/static/related-resources/MIT18_06S10_pascal_work.pdf create mode 100644 app/site/static/related-resources/MIT18_06S10_symmbases.pdf diff --git a/app/site/content/related-resources/index.md b/app/site/content/related-resources/index.md new file mode 100644 index 000000000..3a43d9b11 --- /dev/null +++ b/app/site/content/related-resources/index.md @@ -0,0 +1,52 @@ +--- +title: "Related Resources" +--- +## Interesting Links + +### Java® Demos + +The _Java® Demos_ were developed by [Pavel Grinfeld](http://www.drexel.edu/math/contact/facultyDirectory/PavelGrinfeld/). + +* [Eigenvalues](http://ocw.mit.edu/ans7870/18/18.06/javademo/Eigen/) +* [SVD (Singular Value Decomposition)](http://ocw.mit.edu/ans7870/18/18.06/javademo/SVD/) +* [Gaussian Elimination](http://ocw.mit.edu/ans7870/18/18.06/javademo/GaussElim/) +* [Determinants](http://ocw.mit.edu/ans7870/18/18.06/javademo/Determinant/) +* [Gram-Schmidt = Orthogonalization](http://ocw.mit.edu/ans7870/18/18.06/javademo/Gram/) +* [Inner Product of Functions](http://ocw.mit.edu/ans7870/18/18.06/javademo/InnerProduct/) +* [Sum of Fourier Series](http://ocw.mit.edu/ans7870/18/18.06/javademo/FourierSeries/) +* [Sum of Trigonometric Series](http://ocw.mit.edu/ans7870/18/18.06/javademo/FourierSynthesis/) +* [Gibbs Phenomenon](http://ocw.mit.edu/ans7870/18/18.06/javademo/Gibbs/) +* [Aliasing](http://ocw.mit.edu/ans7870/18/18.06/javademo/Aliasing/) +* [Column Spaces](http://ocw.mit.edu/ans7870/18/18.06/javademo/ColSpace/) +* [Least Squares](http://ocw.mit.edu/ans7870/18/18.06/javademo/LeastSqr/) +* [Power Method](http://ocw.mit.edu/ans7870/18/18.06/javademo/power_method_applet/powerMethod.html) + +### Other Demos + +* [Gauss-Jordan Demo](http://web.mit.edu/18.06/www/Links/demogj) +* [LU Demo](http://web.mit.edu/18.06/www/Demos/matlab-diaries/demolu) +* [The Media Lab's Eigenfaces Demo](http://vismod.media.mit.edu/vismod/demos/facerec/basic.html) +* [Projections of Famous and not so Famous Three and Four Dimensional Solids](http://pages.uoregon.edu/koch/hypersolids/hypersolids.html) + +### MATLAB® Information + +* Best Guide to MATLAB® ([PDF](http://homen.vsb.cz/~lud0016/NM/matlab_guide.pdf)) +* Short MATLAB® Tutorial ([PDF](related-resources/MIT18_06S10_matlab.pdf)) and Cool [MATLAB® demos](http://www.mathworks.com/products/demos/) by Mathworks +* [MATLAB® Recitation Demos from 1997](http://web.mit.edu/18.06/www/MATLAB/Recitation.html) +* [MATLAB® Teaching Codes](http://web.mit.edu/18.06/www/Course-Info/Tcodes.html) +* A MATLAB cheat sheet ([PDF](http://web.mit.edu/18.06/www/Spring09/matlab-cheatsheet.pdf)) + +### Essays + +* Pascal Matrices ([PDF](related-resources/MIT18_06S10_pascal_work.pdf)) +* A Basis for 3 by 3 Symmetric Matrices ([PDF](related-resources/MIT18_06S10_symmbases.pdf)) +* Gram-Schmidt in 9 Lines of MATLAB® ([PDF](related-resources/MIT18_06S10_gramschmidtmat.pdf)) +* Linear Algebra and Music ([PDF](http://web.mit.edu/18.06/www/Essays/linear-algebra-and-music.pdf)) + +### Essays on Teaching Linear Algebra + +* Too Much Calculus ([PDF](http://web.mit.edu/18.06/www/Essays/too-much-calculus.pdf)) +* Starting with Two Matrices ([PDF](http://web.mit.edu/18.06/www/Essays/starting2matrices_ver5.pdf)) +* The Four Fundamental Subspaces: 4 Lines ([PDF](http://web.mit.edu/18.06/www/Essays/newpaper_ver3.pdf)) +* Fourier Sine Series Examples ([PDF](http://web.mit.edu/18.06/www/Fall07/sines.pdf)) +* Notes on function spaces, Hermitian operators, and Fourier series 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ziT=*Gk%c@9@xwc_Fo9S&2sv>0`3KTIArVLzbPM`J$|4}O2lNN?{#hmmWnurd49ds! zOBo6{`Tkmlfie^Fu%T=98wy@L-?hh90JNlvAjPN zQs%dM7@+(3wH`(e^(zeIFeuc_$ag*J8Di-)*Yuvx?ew7`A=3!JR9G~i>mY|%2( HW?}jtLRfj> literal 0 HcmV?d00001 From 8372e0955d724b09a07dffcdc63efa5e2219f5d0 Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Thu, 14 Nov 2019 15:53:58 -0500 Subject: [PATCH 15/19] Standard formatting on related-resources page --- app/site/content/related-resources/index.md | 62 ++++++++++----------- 1 file changed, 31 insertions(+), 31 deletions(-) diff --git a/app/site/content/related-resources/index.md b/app/site/content/related-resources/index.md index 3a43d9b11..3b5d490a1 100644 --- a/app/site/content/related-resources/index.md +++ b/app/site/content/related-resources/index.md @@ -7,46 +7,46 @@ title: "Related Resources" The _Java® Demos_ were developed by [Pavel Grinfeld](http://www.drexel.edu/math/contact/facultyDirectory/PavelGrinfeld/). -* [Eigenvalues](http://ocw.mit.edu/ans7870/18/18.06/javademo/Eigen/) -* [SVD (Singular Value Decomposition)](http://ocw.mit.edu/ans7870/18/18.06/javademo/SVD/) -* [Gaussian Elimination](http://ocw.mit.edu/ans7870/18/18.06/javademo/GaussElim/) -* [Determinants](http://ocw.mit.edu/ans7870/18/18.06/javademo/Determinant/) -* [Gram-Schmidt = Orthogonalization](http://ocw.mit.edu/ans7870/18/18.06/javademo/Gram/) -* [Inner Product of Functions](http://ocw.mit.edu/ans7870/18/18.06/javademo/InnerProduct/) -* [Sum of Fourier Series](http://ocw.mit.edu/ans7870/18/18.06/javademo/FourierSeries/) -* [Sum of Trigonometric Series](http://ocw.mit.edu/ans7870/18/18.06/javademo/FourierSynthesis/) -* [Gibbs Phenomenon](http://ocw.mit.edu/ans7870/18/18.06/javademo/Gibbs/) -* [Aliasing](http://ocw.mit.edu/ans7870/18/18.06/javademo/Aliasing/) -* [Column Spaces](http://ocw.mit.edu/ans7870/18/18.06/javademo/ColSpace/) -* [Least Squares](http://ocw.mit.edu/ans7870/18/18.06/javademo/LeastSqr/) -* [Power Method](http://ocw.mit.edu/ans7870/18/18.06/javademo/power_method_applet/powerMethod.html) +- [Eigenvalues](http://ocw.mit.edu/ans7870/18/18.06/javademo/Eigen/) +- [SVD (Singular Value Decomposition)](http://ocw.mit.edu/ans7870/18/18.06/javademo/SVD/) +- [Gaussian Elimination](http://ocw.mit.edu/ans7870/18/18.06/javademo/GaussElim/) +- [Determinants](http://ocw.mit.edu/ans7870/18/18.06/javademo/Determinant/) +- [Gram-Schmidt = Orthogonalization](http://ocw.mit.edu/ans7870/18/18.06/javademo/Gram/) +- [Inner Product of Functions](http://ocw.mit.edu/ans7870/18/18.06/javademo/InnerProduct/) +- [Sum of Fourier Series](http://ocw.mit.edu/ans7870/18/18.06/javademo/FourierSeries/) +- [Sum of Trigonometric Series](http://ocw.mit.edu/ans7870/18/18.06/javademo/FourierSynthesis/) +- [Gibbs Phenomenon](http://ocw.mit.edu/ans7870/18/18.06/javademo/Gibbs/) +- [Aliasing](http://ocw.mit.edu/ans7870/18/18.06/javademo/Aliasing/) +- [Column Spaces](http://ocw.mit.edu/ans7870/18/18.06/javademo/ColSpace/) +- [Least Squares](http://ocw.mit.edu/ans7870/18/18.06/javademo/LeastSqr/) +- [Power Method](http://ocw.mit.edu/ans7870/18/18.06/javademo/power_method_applet/powerMethod.html) ### Other Demos -* [Gauss-Jordan Demo](http://web.mit.edu/18.06/www/Links/demogj) -* [LU Demo](http://web.mit.edu/18.06/www/Demos/matlab-diaries/demolu) -* [The Media Lab's Eigenfaces Demo](http://vismod.media.mit.edu/vismod/demos/facerec/basic.html) -* [Projections of Famous and not so Famous Three and Four Dimensional Solids](http://pages.uoregon.edu/koch/hypersolids/hypersolids.html) +- [Gauss-Jordan Demo](http://web.mit.edu/18.06/www/Links/demogj) +- [LU Demo](http://web.mit.edu/18.06/www/Demos/matlab-diaries/demolu) +- [The Media Lab's Eigenfaces Demo](http://vismod.media.mit.edu/vismod/demos/facerec/basic.html) +- [Projections of Famous and not so Famous Three and Four Dimensional Solids](http://pages.uoregon.edu/koch/hypersolids/hypersolids.html) ### MATLAB® Information -* Best Guide to MATLAB® ([PDF](http://homen.vsb.cz/~lud0016/NM/matlab_guide.pdf)) -* Short MATLAB® Tutorial ([PDF](related-resources/MIT18_06S10_matlab.pdf)) and Cool [MATLAB® demos](http://www.mathworks.com/products/demos/) by Mathworks -* [MATLAB® Recitation Demos from 1997](http://web.mit.edu/18.06/www/MATLAB/Recitation.html) -* [MATLAB® Teaching Codes](http://web.mit.edu/18.06/www/Course-Info/Tcodes.html) -* A MATLAB cheat sheet ([PDF](http://web.mit.edu/18.06/www/Spring09/matlab-cheatsheet.pdf)) +- Best Guide to MATLAB® ([PDF](http://homen.vsb.cz/~lud0016/NM/matlab_guide.pdf)) +- Short MATLAB® Tutorial ([PDF](related-resources/MIT18_06S10_matlab.pdf)) and Cool [MATLAB® demos](http://www.mathworks.com/products/demos/) by Mathworks +- [MATLAB® Recitation Demos from 1997](http://web.mit.edu/18.06/www/MATLAB/Recitation.html) +- [MATLAB® Teaching Codes](http://web.mit.edu/18.06/www/Course-Info/Tcodes.html) +- A MATLAB cheat sheet ([PDF](http://web.mit.edu/18.06/www/Spring09/matlab-cheatsheet.pdf)) ### Essays -* Pascal Matrices ([PDF](related-resources/MIT18_06S10_pascal_work.pdf)) -* A Basis for 3 by 3 Symmetric Matrices ([PDF](related-resources/MIT18_06S10_symmbases.pdf)) -* Gram-Schmidt in 9 Lines of MATLAB® ([PDF](related-resources/MIT18_06S10_gramschmidtmat.pdf)) -* Linear Algebra and Music ([PDF](http://web.mit.edu/18.06/www/Essays/linear-algebra-and-music.pdf)) +- Pascal Matrices ([PDF](related-resources/MIT18_06S10_pascal_work.pdf)) +- A Basis for 3 by 3 Symmetric Matrices ([PDF](related-resources/MIT18_06S10_symmbases.pdf)) +- Gram-Schmidt in 9 Lines of MATLAB® ([PDF](related-resources/MIT18_06S10_gramschmidtmat.pdf)) +- Linear Algebra and Music ([PDF](http://web.mit.edu/18.06/www/Essays/linear-algebra-and-music.pdf)) ### Essays on Teaching Linear Algebra -* Too Much Calculus ([PDF](http://web.mit.edu/18.06/www/Essays/too-much-calculus.pdf)) -* Starting with Two Matrices ([PDF](http://web.mit.edu/18.06/www/Essays/starting2matrices_ver5.pdf)) -* The Four Fundamental Subspaces: 4 Lines ([PDF](http://web.mit.edu/18.06/www/Essays/newpaper_ver3.pdf)) -* Fourier Sine Series Examples ([PDF](http://web.mit.edu/18.06/www/Fall07/sines.pdf)) -* Notes on function spaces, Hermitian operators, and Fourier series ([PDF](http://web.mit.edu/18.06/www/Fall07/operators.pdf)) \ No newline at end of file +- Too Much Calculus ([PDF](http://web.mit.edu/18.06/www/Essays/too-much-calculus.pdf)) +- Starting with Two Matrices ([PDF](http://web.mit.edu/18.06/www/Essays/starting2matrices_ver5.pdf)) +- The Four Fundamental Subspaces: 4 Lines ([PDF](http://web.mit.edu/18.06/www/Essays/newpaper_ver3.pdf)) +- Fourier Sine Series Examples ([PDF](http://web.mit.edu/18.06/www/Fall07/sines.pdf)) +- Notes on function spaces, Hermitian operators, and Fourier series ([PDF](http://web.mit.edu/18.06/www/Fall07/operators.pdf)) \ No newline at end of file From 5b6bd58ad09f4010b13c69e72ac50a361fec521c Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Fri, 15 Nov 2019 18:31:00 -0500 Subject: [PATCH 16/19] Fix some typos in the paths to the solution PDF's --- app/site/content/exams/index.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/app/site/content/exams/index.md b/app/site/content/exams/index.md index 6d6b44e87..efd2aca7d 100644 --- a/app/site/content/exams/index.md +++ b/app/site/content/exams/index.md @@ -7,8 +7,8 @@ There will be three one-hour exams at class times and a final exam. | EXAMS | SOLUTIONS | |------------------------------------------------------|----------------------------------------------| | Exam 1 [(PDF)](exams/MIT18_06S10_exam1_s10.pdf) | [(PDF)](exams/MIT18_06S10_exam1_s10_sol.pdf) | -| Exam 2 [(PDF)](exams/MIT18_06S10_exam2_s10.pdf) | [(PDF)](exams/MIT18_06S10_exam2_s10_sol.pdf) | -| Exam 3 [(PDF)](exams/MIT18_06S10_exam3_s10.pdf) | [(PDF)](exams/MIT18_06S10_exam3_s10_sol.pdf) | +| Exam 2 [(PDF)](exams/MIT18_06S10_exam2_s10.pdf) | [(PDF)](exams/MIT18_06S10_exam2_s10_soln.pdf) | +| Exam 3 [(PDF)](exams/MIT18_06S10_exam3_s10.pdf) | [(PDF)](exams/MIT18_06S10_exam3_s10_soln.pdf) | | Final exam [(PDF)](exams/MIT18_06S10_Final_Exam.pdf) | [(PDF)](exams/MIT18_06S10_Final_Answers.pdf) | Exams and quizzes from previous years can be found in the [study materials]({{}}) section. \ No newline at end of file From 676dd69e36d025cc57e03c25f72a45dd8a577eb1 Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Mon, 18 Nov 2019 13:08:13 -0500 Subject: [PATCH 17/19] Add "buy it on amazon" stock image --- app/site/static/images/a_logo_17.gif | Bin 0 -> 2751 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 app/site/static/images/a_logo_17.gif diff --git a/app/site/static/images/a_logo_17.gif b/app/site/static/images/a_logo_17.gif new file mode 100644 index 0000000000000000000000000000000000000000..0b11212c1d586dad18797ed1e70e3c498cb82602 GIT binary patch literal 2751 zcmbVNdpMM78y`Y4YMd#RF{E;sdB=H%8FO+NIa6757&9Yc4(8w#IVK?^+CuRWwQ4KG zifw2dib@E@Qg%iyWmi-}3g4);-}lE}`(4-f{_(!|b3eb|eR!VxzF%julP!wk1yTmh 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z)G{21B9cGXo(#d>5%vijiq7^y49kt5$YS?|u80Zhp5hOu)E27yNg#N3k<9fKaes<^ z`ItIRy=gl;3EX0CH|ZcFTqJ?V>VTfgEvCtWTQ{*;0&v`}JY|ICS#c7ov{TK^;YJ3G zw1XW}lLC=Dn{-OyjUfTIIW)pcb|Xn8xmzJ3R7^71BK%M#KdqwQZl>EiTVxxJ)R@ob+7jx?)J5CeCobtnR5;x^;>tEA;d@N_8 j1R4|R?W1XsP{VAPH?brhzW5saq%YYd Date: Mon, 18 Nov 2019 13:08:28 -0500 Subject: [PATCH 18/19] Fix links on the syllabus page --- app/site/content/syllabus/index.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/app/site/content/syllabus/index.md b/app/site/content/syllabus/index.md index 641a6adcb..e56925dd6 100644 --- a/app/site/content/syllabus/index.md +++ b/app/site/content/syllabus/index.md @@ -10,11 +10,11 @@ Recitations: 1 session / week, 1 hour / session Multivariable Calculus (18.02) ## Text -The readings are assigned in: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 4th ed. Wellesley-Cambridge Press, 2009. ISBN: 9780980232714. +The readings are assigned in: [![Buy at Amazon](images/a_logo_17.gif)](https://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20?linkCode=w61&imprToken=88O6qQed.wV654ySgRZ8OQ&slotNum=0) Strang, Gilbert. Introduction to Linear Algebra. 4th ed. [Wellesley-Cambridge Press](http://www.wellesleycambridge.com/), 2009. ISBN: 9780980232714. -Reading assignments are also provided for the newer edition: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. +Reading assignments are also provided for the newer edition: [![Buy at Amazon](images/a_logo_17.gif)](https://www.amazon.com/exec/obidos/ASIN/0980232775/ref=nosim/mitopencourse-20?linkCode=w61&imprToken=88O6qQed.wV654ySgRZ8OQ&slotNum=1) Strang, Gilbert. Introduction to Linear Algebra. 5th ed. [Wellesley-Cambridge Press](http://www.wellesleycambridge.com/), 2016. ISBN: 9780980232776. -NOTE: More material on linear algebra (and much more about differential equations) is in Professor Strang's 2014 textbook Differential Equations and Linear Algebra. In 2016, the textbook was developed into a series of 55 short videos, Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler. +NOTE: More material on linear algebra (and much more about differential equations) is in Professor Strang's 2014 textbook [Differential Equations and Linear Algebra](http://www-math.mit.edu/~gs/dela). In 2016, the textbook was developed into a series of 55 short videos, [Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler](http://ocw.mit.edu/resources/res-18-009-learn-differential-equations-up-close-with-gilbert-strang-and-cleve-moler-fall-2015/index.htm). ## Goals The goals for 18.06 are using matrices and also understanding them. @@ -47,4 +47,4 @@ There will be three one-hour exams at class times and a final exam. The use of c | Final exam | 40% | ## MATLAB® -Some homework problems will require you to use MATLAB, an important tool for numerical linear algebra. No previous MATLAB experience is required in 18.06. The related resources section has links to information about MATLAB, including a tutorial. \ No newline at end of file +Some homework problems will require you to use MATLAB, an important tool for numerical linear algebra. No previous MATLAB experience is required in 18.06. The [related resources]({{< ref "related-resources/index.md" >}}) section has links to information about MATLAB, including a tutorial. \ No newline at end of file From 7da90f5954687d071b8b1f440840cc33d04ad3ec Mon Sep 17 00:00:00 2001 From: Carey Gumaer Date: Mon, 18 Nov 2019 14:11:38 -0500 Subject: [PATCH 19/19] Update some links in the sample content. --- app/site/content/assignments/index.md | 2 +- app/site/content/readings/index.md | 4 ++-- app/site/content/study-materials/index.md | 4 ++-- 3 files changed, 5 insertions(+), 5 deletions(-) diff --git a/app/site/content/assignments/index.md b/app/site/content/assignments/index.md index 4aa843ed2..8690d0ef3 100644 --- a/app/site/content/assignments/index.md +++ b/app/site/content/assignments/index.md @@ -1,7 +1,7 @@ --- title: "Assignments" --- -The problem sets make up 15% of the course grade. Problems are assigned from the required text: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 4th ed. Wellesley-Cambridge Press, 2009. ISBN: 9780980232714. +The problem sets make up 15% of the course grade. Problems are assigned from the required text: [![Buy at Amazon](images/a_logo_17.gif)](https://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20?linkCode=w61&imprToken=88O6qQed.wV654ySgRZ8OQ&slotNum=0) Strang, Gilbert. Introduction to Linear Algebra. 4th ed. [Wellesley-Cambridge Press](http://www.wellesleycambridge.com/), 2009. ISBN: 9780980232714. ## Problem set 1 - [(Solutions PDF)](assignments/MIT18_06S10_pset1_s10_soln.pdf) ### Do problems: diff --git a/app/site/content/readings/index.md b/app/site/content/readings/index.md index 5795038ee..7c21e40fb 100644 --- a/app/site/content/readings/index.md +++ b/app/site/content/readings/index.md @@ -2,9 +2,9 @@ title: "Readings" --- -The readings are assigned in: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 4th ed. Wellesley-Cambridge Press, 2009. ISBN: 9780980232714. +The readings are assigned in: [![Buy at Amazon](images/a_logo_17.gif)](https://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20?linkCode=w61&imprToken=88O6qQed.wV654ySgRZ8OQ&slotNum=0) Strang, Gilbert. Introduction to Linear Algebra. 4th ed. [Wellesley-Cambridge Press](http://www.wellesleycambridge.com/), 2009. ISBN: 9780980232714. -Reading assignments are also provided for the newer edition: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. +Reading assignments are also provided for the newer edition: [![Buy at Amazon](images/a_logo_17.gif)](https://www.amazon.com/exec/obidos/ASIN/0980232775/ref=nosim/mitopencourse-20?linkCode=w61&imprToken=88O6qQed.wV654ySgRZ8OQ&slotNum=1) Strang, Gilbert. Introduction to Linear Algebra. 5th ed. [Wellesley-Cambridge Press](http://www.wellesleycambridge.com/), 2016. ISBN: 9780980232776. | SES # | TOPICS | READINGS in 4th Edition | READINGS IN 5TH EDITION | |-------|---------------------------------------|-----------------------------|-------------------------| diff --git a/app/site/content/study-materials/index.md b/app/site/content/study-materials/index.md index dbdf397ae..c30b8b1ff 100644 --- a/app/site/content/study-materials/index.md +++ b/app/site/content/study-materials/index.md @@ -2,11 +2,11 @@ title: "Study Materials" --- ## Additional Materials from the Textbook -The textbook for this course is: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 4th ed. [Wellesley-Cambridge Press](http://www.wellesleycambridge.com/), 2009. ISBN: 9780980232714. +The textbook for this course is: [![Buy at Amazon](images/a_logo_17.gif)](https://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20?linkCode=w61&imprToken=88O6qQed.wV654ySgRZ8OQ&slotNum=0) Strang, Gilbert. Introduction to Linear Algebra. 4th ed. [Wellesley-Cambridge Press](http://www.wellesleycambridge.com/), 2009. ISBN: 9780980232714. The Table of Contents, Preface, and selected chapters are [freely available online](http://math.mit.edu/linearalgebra/). -There is newer edition of the book: Buy at Amazon Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776. +There is newer edition of the book: [![Buy at Amazon](images/a_logo_17.gif)](https://www.amazon.com/exec/obidos/ASIN/0980232775/ref=nosim/mitopencourse-20?linkCode=w61&imprToken=88O6qQed.wV654ySgRZ8OQ&slotNum=1) Strang, Gilbert. Introduction to Linear Algebra. 5th ed. [Wellesley-Cambridge Press](http://www.wellesleycambridge.com/), 2016. ISBN: 9780980232776. NOTE: More material on linear algebra (and much more about differential equations) is in Professor Strang's 2014 textbook [Differential Equations and Linear Algebra](http://www-math.mit.edu/~gs/dela). In 2016, the textbook was developed into a series of 55 short videos, [Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler](http://ocw.mit.edu/resources/res-18-009-learn-differential-equations-up-close-with-gilbert-strang-and-cleve-moler-fall-2015/index.htm).

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