Complete linear algebra: theory and implementation in code

Genre: eLearning | MP4 | Video: h264, 1280x720 | Audio: aac, 44100 HzLanguage: English | VTT | Size: 9.69 GB | Duration: 33 hoursWhat you'll learnUnderstand theoretical concepts in linear algebra, including proofsImplement linear algebra concepts in scientific programming languages (MATLAB, Python)Apply linear algebra concepts to real datasetsAce your linear algebra e x a m!Apply linear algebra on computers with confidenceGain additional insights into solving problems in linear algebra, including homeworks and applicationsBe confident in learning advanced linear algebra topicsUnderstand some of the important maths underlying machine learning* Manually corrected closed-captions *RequirementsBasic 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)DescriptionYou 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, signal processing, 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 in machine learning, data science, statistics, and signal processing. For e x a mple, 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 (e.g., statistics or signal processing), then this course is for you! You'll see all the maths concepts implemented in MATLAB and in Python.Unique aspects of this courseClear 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.Improve your coding skills! You do need to have a little bit of coding experience for this course (I do not teach elementary Python or MATLAB), but you will definitely improve your scientific and data analysis programming skills in this course. Everything is explained in MATLAB and in Python (mostly using numpy and matplotlib; also sympy and scipy and some other relevant toolboxes).Benefits of learning linear algebraUnderstand statistics including least-squares, regression, and multivariate analyses.Improve mathematical 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.Deeper knowledge of signal processing methods, particularly filtering and multivariate subspace methods.Explore the link between linear algebra, matrices, and geometry.Gain more experience implementing math and understanding machine-learning concepts in Python and MATLAB.Why I am qualified to teach this course:I have been using linear algebra extensively in my research and teaching (in MATLAB and Python) 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!MikeWho this course is for:Anyone interested in learning about matrices and vectorsStudents who want supplemental instruction/practice for a linear algebra courseEngineers who want to refresh their knowledge of matrices and decompositionsBiologists who want to learn more about the math behind computational biologyData scientists (linear algebra is everywhere in data science!)StatisticiansSomeone who wants to know the important math underlying machine learningSomeone who studied theoretical linear algebra and who wants to implement concepts in computersComputational scientists (statistics, biological, engineering, neuroscience, psychology, physics, etc.)Someone who wants to learn about eigendecomposition, diagonalization, and singular value decomposition!