[FTUForum.com] Udemy - Complete linear algebra theory and implementation

[FTUForum.com] Udemy - Complete linear algebra theory and implementation

Size
6.5 GB
Seeders
2
Leechers
1
Files
99
Category
Added
04/14/19 at 12:14am GMT+1
Infohash
89ea25f10389d7bdbda190e10a8d8e6df26d21f1

Description
Learn concepts in linear algebra and matrix analysis, and implement them in MATLAB and Python.
Bestseller

Created by Mike X Cohen
Last updated 4/2019
English

What you’ll learn

Understand theoretical concepts in linear algebra, including proofs
Implement linear algebra concepts in scientific programming languages (MATLAB, Python)
Apply linear algebra concepts to real datasets
Ace your linear algebra exam!
Apply linear algebra on computers with confidence
Gain additional insights into solving problems in linear algebra, including homeworks and applications
Be confident in learning advanced linear algebra topics
Understand some of the important maths underlying machine learning
* Manually corrected closed-captions *

Requirements

Basic understanding of high-school algebra (e.g., solve for x in 2x=5)
Interest in learning about matrices and vectors!
(optional) Computer with MATLAB, Octave, or Python (or Jupyter)

Description

You need to learn linear algebra!

Linear algebra is perhaps the most important branch of mathematics for computational sciences, including machine learning, AI, data science, statistics, simulations, computer graphics, multivariate analyses, matrix decompositions, and so on.

You need to know applied linear algebra, not just abstract linear algebra!

The way linear algebra is presented in 30-year-old textbooks is different from how professionals use linear algebra in computers to solve real-world applications. For example, the “determinant” of a matrix is important for linear algebra theory, but should you actually use the determinant in practical applications? The answer may surprise you, and it’s in this course!

If you are interested in learning the mathematical concepts linear algebra and matrix analysis, but also want to apply those concepts to data analyses on computers, then this course is for you!

Unique aspects of this course

Clear and comprehensible explanations of concepts and theories in linear algebra.
Several distinct explanations of the same ideas, which is a proven technique for learning.
Visualization using graphs, numbers, and spaces that strengthens the geometric intuition of linear algebra.
Implementations in MATLAB and Python. Com’on, in the real world, you never solve math problems by hand! You need to know how to implement math in software!
Beginning to intermediate topics, including vectors, matrix multiplications, least-squares projections, eigendecomposition, and singular-value decomposition.
Strong focus on modern applications-oriented aspects of linear algebra and matrix analysis.
Intuitive visual explanations of diagonalization, eigenvalues and eigenvectors, and singular value decomposition.
Benefits of learning linear algebra

Understand statistics including least-squares, regression, and multivariate analyses.
Improve simulations in engineering, computational biology, finance, and physics.
Understand data compression and dimension-reduction (PCA, SVD, eigendecomposition).
Understand the math underlying machine learning and linear classification algorithms.
Explore the link between linear algebra, matrices, and geometry.
Why I am qualified to teach this course:

I have been using linear algebra extensively in my research and teaching (primarily in MATLAB) for many years. I have written several textbooks about data analysis, programming, and statistics, that rely extensively on concepts in linear algebra.

So what are you waiting for??

Watch the course introductory video and free sample videos to learn more about the contents of this course and about my teaching style. If you are unsure if this course is right for you and want to learn more, feel free to contact with me questions before you sign up.

I hope to see you soon in the course!

Mike

Who this course is for:

Anyone interested in learning about matrices and vectors
Students who want supplemental instruction/practice for a linear algebra course
Engineers who want to refresh their knowledge of matrices and decompositions
Biologists who want to learn more about the math behind computational biology
Data scientists (linear algebra is everywhere in data science!)
Statisticians
Someone who wants to know the important math underlying machine learning
Someone who studied theoretical linear algebra and who wants to implement concepts in computers
Computational scientists (statistics, biological, engineering, neuroscience, psychology, physics, etc.)
Someone who wants to learn about eigendecomposition, diagonalization, and singular value decomposition!

Course content
all 152 lectures 21:02:49

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File list
  • [FTUForum.com] Udemy - Complete linear algebra theory and implementation
  • 1. Introductions/1. What is linear algebra.mp4 64.8 MB
  • 1. Introductions/1. What is linear algebra.srt 10 KB
  • 1. Introductions/1. What is linear algebra.vtt 8.8 KB
  • 1. Introductions/2. Linear algebra applications.mp4 29.6 MB
  • 1. Introductions/2. Linear algebra applications.srt 7.4 KB
  • 1. Introductions/2. Linear algebra applications.vtt 6.6 KB
  • 1. Introductions/3. How best to learn from this course.mp4 27 MB
  • 1. Introductions/3. How best to learn from this course.srt 5.7 KB
  • 1. Introductions/3. How best to learn from this course.vtt 5 KB
  • 1. Introductions/4. Using MATLAB, Octave, or Python in this course.mp4 21.2 MB
  • 1. Introductions/4. Using MATLAB, Octave, or Python in this course.srt 5 KB
  • 1. Introductions/4. Using MATLAB, Octave, or Python in this course.vtt 4.5 KB
  • 1. Introductions/5. Leaving reviews, course coupons.mp4 17.8 MB
  • 1. Introductions/5. Leaving reviews, course coupons.srt 3 KB
  • 1. Introductions/5. Leaving reviews, course coupons.vtt 2.7 KB
  • 10. Projections and orthogonalization/1. Exercises + code.html 76 B
  • 10. Projections and orthogonalization/1.1 linalg_projorth.zip.zip 288.3 KB
  • 10. Projections and orthogonalization/2. Projections in R^2.mp4 52.3 MB
  • 10. Projections and orthogonalization/2. Projections in R^2.srt 12.3 KB
  • 10. Projections and orthogonalization/2. Projections in R^2.vtt 10.7 KB
  • 10. Projections and orthogonalization/3. Projections in R^N.mp4 75.5 MB
  • 10. Projections and orthogonalization/3. Projections in R^N.srt 17.8 KB
  • 10. Projections and orthogonalization/3. Projections in R^N.vtt 15.5 KB
  • 10. Projections and orthogonalization/4. Orthogonal and parallel vector components.mp4 47.4 MB
  • 10. Projections and orthogonalization/4. Orthogonal and parallel vector components.srt 14.2 KB
  • 10. Projections and orthogonalization/4. Orthogonal and parallel vector components.vtt 12.5 KB
  • 10. Projections and orthogonalization/5. Code challenge decompose vector to orthogonal components.mp4 47.6 MB
  • 10. Projections and orthogonalization/5. Code challenge decompose vector to orthogonal components.srt 10.4 KB
  • 10. Projections and orthogonalization/5. Code challenge decompose vector to orthogonal components.vtt 9.1 KB
  • 10. Projections and orthogonalization/6. Orthogonal matrices.mp4 55.4 MB
  • 10. Projections and orthogonalization/6. Orthogonal matrices.srt 17 KB
  • 10. Projections and orthogonalization/6. Orthogonal matrices.vtt 14.9 KB
  • 10. Projections and orthogonalization/7. Gram-Schmidt and QR decomposition.mp4 67.6 MB
  • 10. Projections and orthogonalization/7. Gram-Schmidt and QR decomposition.srt 19.7 KB
  • 10. Projections and orthogonalization/7. Gram-Schmidt and QR decomposition.vtt 17.1 KB
  • 10. Projections and orthogonalization/8. Matrix inverse via QR decomposition.mp4 13.4 MB
  • 10. Projections and orthogonalization/8. Matrix inverse via QR decomposition.srt 2.8 KB
  • 10. Projections and orthogonalization/8. Matrix inverse via QR decomposition.vtt 2.5 KB
  • 10. Projections and orthogonalization/9. Code challenge Inverse via QR.mp4 47.8 MB
  • 10. Projections and orthogonalization/9. Code challenge Inverse via QR.srt 9.3 KB
  • 10. Projections and orthogonalization/9. Code challenge Inverse via QR.vtt 8.1 KB
  • 11. Least-squares for model-fitting in statistics/1. Exercises + code.html 86 B
  • 11. Least-squares for model-fitting in statistics/1.1 linalg_leastsquares.zip.zip 315.4 KB
  • 11. Least-squares for model-fitting in statistics/2. Introduction to least-squares.mp4 106.8 MB
  • 11. Least-squares for model-fitting in statistics/2. Introduction to least-squares.srt 16.5 KB
  • 11. Least-squares for model-fitting in statistics/2. Introduction to least-squares.vtt 14.5 KB
  • 11. Least-squares for model-fitting in statistics/3. Least-squares via left inverse.mp4 49.1 MB
  • 11. Least-squares for model-fitting in statistics/3. Least-squares via left inverse.srt 12.8 KB
  • 11. Least-squares for model-fitting in statistics/3. Least-squares via left inverse.vtt 11.2 KB
  • 11. Least-squares for model-fitting in statistics/4. Least-squares via orthogonal projection.mp4 34.7 MB
  • 11. Least-squares for model-fitting in statistics/4. Least-squares via orthogonal projection.srt 9.8 KB
  • 11. Least-squares for model-fitting in statistics/4. Least-squares via orthogonal projection.vtt 8.6 KB
  • 11. Least-squares for model-fitting in statistics/5. Least-squares via row-reduction.mp4 46.9 MB
  • 11. Least-squares for model-fitting in statistics/5. Least-squares via row-reduction.srt 13.2 KB
  • 11. Least-squares for model-fitting in statistics/5. Least-squares via row-reduction.vtt 11.6 KB
  • 11. Least-squares for model-fitting in statistics/6. Model-predicted values and residuals.mp4 30.9 MB
  • 11. Least-squares for model-fitting in statistics/6. Model-predicted values and residuals.srt 8.3 KB
  • 11. Least-squares for model-fitting in statistics/6. Model-predicted values and residuals.vtt 7.3 KB
  • 11. Least-squares for model-fitting in statistics/7. Least-squares application 1.mp4 81.3 MB
  • 11. Least-squares for model-fitting in statistics/7. Least-squares application 1.srt 15 KB
  • 11. Least-squares for model-fitting in statistics/7. Least-squares application 1.vtt 13.2 KB
  • 11. Least-squares for model-fitting in statistics/8. Least-squares application 2.mp4 133.3 MB
  • 11. Least-squares for model-fitting in statistics/8. Least-squares application 2.srt 23 KB
  • 11. Least-squares for model-fitting in statistics/8. Least-squares application 2.vtt 20.2 KB
  • 12. Eigendecomposition/1. Exercises + code.html 33 B
  • 12. Eigendecomposition/1.1 linalg_eig.zip.zip 302.6 KB
  • 12. Eigendecomposition/10. Matrix powers via diagonalization.mp4 99.6 MB
  • 12. Eigendecomposition/10. Matrix powers via diagonalization.srt 20 KB
  • 12. Eigendecomposition/10. Matrix powers via diagonalization.vtt 17.4 KB
  • 12. Eigendecomposition/11. Eigenvectors of distinct eigenvalues.mp4 55.8 MB
  • 12. Eigendecomposition/11. Eigenvectors of distinct eigenvalues.srt 10.8 KB
  • 12. Eigendecomposition/11. Eigenvectors of distinct eigenvalues.vtt 9.5 KB
  • 12. Eigendecomposition/12. Eigenvectors of repeated eigenvalues.mp4 64.8 MB
  • 12. Eigendecomposition/12. Eigenvectors of repeated eigenvalues.srt 14.9 KB
  • 12. Eigendecomposition/12. Eigenvectors of repeated eigenvalues.vtt 12.9 KB
  • 12. Eigendecomposition/13. Eigendecomposition of symmetric matrices.mp4 73.8 MB
  • 12. Eigendecomposition/13. Eigendecomposition of symmetric matrices.srt 18.1 KB
  • 12. Eigendecomposition/13. Eigendecomposition of symmetric matrices.vtt 15.9 KB
  • 12. Eigendecomposition/14. Eigendecomposition of singular matrices.mp4 15.7 MB
  • 12. Eigendecomposition/14. Eigendecomposition of singular matrices.srt 5.3 KB
  • 12. Eigendecomposition/14. Eigendecomposition of singular matrices.vtt 4.7 KB
  • 12. Eigendecomposition/15. Code challenge trace and determinant, eigenvalues sum and product.mp4 24.1 MB
  • 12. Eigendecomposition/15. Code challenge trace and determinant, eigenvalues sum and product.srt 6.9 KB
  • 12. Eigendecomposition/15. Code challenge trace and determinant, eigenvalues sum and product.vtt 6 KB
  • 12. Eigendecomposition/16. Generalized eigendecomposition.mp4 61.9 MB
  • 12. Eigendecomposition/16. Generalized eigendecomposition.srt 13.4 KB
  • 12. Eigendecomposition/16. Generalized eigendecomposition.vtt 11.7 KB
  • 12. Eigendecomposition/2. What are eigenvalues and eigenvectors.mp4 85.5 MB
  • 12. Eigendecomposition/2. What are eigenvalues and eigenvectors.srt 17 KB
  • 12. Eigendecomposition/2. What are eigenvalues and eigenvectors.vtt 15 KB
  • 12. Eigendecomposition/3. Finding eigenvalues.mp4 73.1 MB
  • 12. Eigendecomposition/3. Finding eigenvalues.srt 19.4 KB
  • 12. Eigendecomposition/3. Finding eigenvalues.vtt 16.9 KB
  • 12. Eigendecomposition/4. Shortcut for eigenvalues of a 2x2 matrix.mp4 8.6 MB
  • 12. Eigendecomposition/4. Shortcut for eigenvalues of a 2x2 matrix.srt 2.4 KB
  • 12. Eigendecomposition/4. Shortcut for eigenvalues of a 2x2 matrix.vtt 2.1 KB
  • 12. Eigendecomposition/5. Code challenge eigenvalues of diagonal and triangular matrices.mp4 25.6 MB
  • 12. Eigendecomposition/5. Code challenge eigenvalues of diagonal and triangular matrices.srt 7 KB
  • 12. Eigendecomposition/5. Code challenge eigenvalues of diagonal and triangular matrices.vtt 6.1 KB

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