This repository has been archived by the owner on Feb 22, 2022. It is now read-only.
Course content structure #28
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,77 @@ | ||
| --- | ||
| title: "Assignments" | ||
| --- | ||
| The problem sets make up 15% of the course grade. Problems are assigned from the required text: [](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: | ||
|
|
||
| - 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 - [(Solutions PDF)](assignments/MIT18_06S10_pset2_s10_soln.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 - [(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 - [(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 - [(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 - [(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 - [(Solutions PDF)](assignments/MIT18_06S10_pset7_s10_soln.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 - [(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 - [(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 - [(Solutions PDF)](assignments/MIT18_06S10_pset10_s10_soln.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) | ||
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -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 | | |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -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) | | ||
|
There was a problem hiding this comment. When I click on one of the solutions links I see a default mostly empty page. Is that what the 404 page would be? There was a problem hiding this comment. There were some typos in the links, I fixed them. That is the 404 page though, which is currently blank. We should make an issue to fix that. There was a problem hiding this comment. Sure, I just made an issue for that #31 |
||
| | 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]({{<ref "study-materials/index.md">}}) section. | ||
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,50 @@ | ||
| --- | ||
| title: "Readings" | ||
| --- | ||
|
|
||
| The readings are assigned in: [](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: [](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 | | ||
| |-------|---------------------------------------|-----------------------------|-------------------------| | ||
| | 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 | | | |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -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 ([PDF](http://web.mit.edu/18.06/www/Fall07/operators.pdf)) |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,14 @@ | ||
| --- | ||
| title: "Study Materials" | ||
| --- | ||
| ## Additional Materials from the Textbook | ||
| The textbook for this course is: [](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: [](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). | ||
|
|
||
| ## 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). |
Oops, something went wrong.
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
There was a problem hiding this comment.
Choose a reason for hiding this comment
The reason will be displayed to describe this comment to others. Learn more.
The PR description says this is in the static folder but it's with the course content. Did you figure out how this should work with CDNs?
There was a problem hiding this comment.
Choose a reason for hiding this comment
The reason will be displayed to describe this comment to others. Learn more.
Nevermind, I was looking at an older commit
There was a problem hiding this comment.
Choose a reason for hiding this comment
The reason will be displayed to describe this comment to others. Learn more.
I think that's outside the scope of this PR. Ultimately, this content will be edited in a browser through some kind of CMS, whether that ends up being Netlify or something else. Netlify has CDN integration through either Cloudinary or Uploadcare. It allows you to upload content and embed it in a page, generating the markdown for you with the CDN link. While Netlify CMS doesn't currently support Hugo Page Bundles in the way they're implemented here, their lead dev has commented that support could be added for this within a month:
decaporg/decap-cms#513
For this PR, it's just solving the issue of "As a content author I would like to organize my course content in sections." Since there's another Issue for "As a content author I would like to use a GUI to write my course content and their respective resources," I figured here we would be just adding some sample content separated into course sections, as if you had done it without a GUI.