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Linear Algebra and Regression Fundamentals for Data Science · LearnSpace
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Linear Algebra and Regression Fundamentals for Data Science

Курс от University of Pittsburgh
Начальный≈ 16.7 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

Unlock essential mathematical skills with "Linear Algebra and Regression Fundamentals for Data Science" , which sets the foundation for advanced data science studies. This comprehensive program emphasizes practical application over theoretical concepts, ensuring you gain hands-on experience with Python and its powerful libraries. Begin by mastering linear algebra concepts, where you'll learn to perform vector arithmetic and matrix operations, and calculate eigenvectors and eigenvalues using NumPy. Understand how these principles are crucial for data science tasks, from data manipulation to complex computations involving large datasets. Progress to solving systems of linear equations with backsolving techniques and matrix inversion, utilizing Python’s Pandas package for efficient data handling. Explore how these methods are applied in real-world scenarios, ensuring a practical understanding of linear systems and their significance in data analysis. Advance your skills with ordinary least squares (OLS) regression, learning to fit linear models to data using probabilistic techniques and matrix transposition. The course will guide you through using regression analysis to interpret and predict data trends, making it a vital tool for any data scientist. Through practical assignments and real-world projects, you will apply linear algebra and regression techniques to solve complex problems, visualize data, and draw meaningful insights. By the end of this course, you will possess a solid foundation in the essential mathematical skills required for advanced data science, empowering you to leverage Python for effective data analysis and decision-making.

Навыки, которые вы освоите

Linear AlgebraRegression AnalysisData ScienceLogical ReasoningData VisualizationComputational LogicMathematical ModelingPandas (Python Package)MatplotlibMathematics and Mathematical ModelingNumPyPlot (Graphics)Machine LearningData AnalysisPython ProgrammingData ProcessingNumerical AnalysisStatistical AnalysisData ManipulationApplied Mathematics

Программа курса

3 модулей · 40 учебных материалов

01Module 1: Linear Algebra22 материалов

Introduction to the Course

Course OverviewЧтениеWelcome to Linear Algebra and Regression Fundamentals for Data ScienceВидеоUnder the HoodВидеоTechnical SupportЧтение

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Morgan Frank

Преподаватель курса

Linear Algebra and Regression Fundamentals for Data Science
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Обучение на Coursera

≈ 16.7 ч

3 модулей

Язык: Английский

Субтитры: Венгерский, Казахский

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Module 1 Lecture Videos

M1 Jupyter Notebook SlidesЧтениеM1 Lecture 1: What Are Linear Equations?ВидеоM1 Lecture 2: Linear PlaneВидеоM1 Lecture 3: What are Vectors?ВидеоM1 Lecture 4: Physics - VectorsВидеоM1 Lecture 5: Vector - Dot ProductВидеоM1 Lecture 6: Vector ProgrammingВидеоM1 Lecture 7: MatricesВидеоM1 Lecture 8: EigenspaceВидеоM1 Lecture 9: Finding EigenvectorsВидеоM1 Lecture 10: Programming MatricesВидеоM1 Lecture 11: Example - Eigenfaces and Data CompressionВидео

Module 1 Assessments: Linear Algebra

How to Complete the Programming AssignmentsЧтениеLab Homework: Linear AlgebraПрограммированиеLet's Practice: Linear AlgebraЗаданиеTest Yourself: Linear AlgebraЗаданиеLinear Algebra Mastery CheckDIALOGUE
02Module 2: Linear Systems9 материалов

Module 2 Lecture Videos

M2 Jupyter Notebook SlidesЧтениеM2 Lecture 1: Systems of Linear EquationsВидеоM2 Lecture 2: Backsolving and Inverting MatricesВидеоM2 Lecture 3: Perils in BacksolvingВидеоM2 Lecture 4: Python Programming and Inverting MatricesВидеоM2 Lecture 5: Backsolving Example - Gravitational LensingВидео

Module 2 Assessments: Linear Systems

Lab Homework: Linear SystemsПрограммированиеLet's Practice: Linear SystemsЗаданиеTest Yourself: Linear SystemsЗадание
03Module 3: Introduction to Ordinary Least Squares Regression9 материалов

Module 3 Lecture Videos

M3 Jupyter Notebook SlidesЧтениеM3 Lecture 1: Failure to BacksolveВидеоM3 Lecture 2: Solving Overdetermined Linear Systems with Matrix TransposeВидеоM3 Lecture 3: Solving Linear Systems Probabilistically with OLSВидеоM3 Lecture 4: Fitting Linear Equations to DataВидеоM3 Lecture 5: Regression Example - Home Sales and AmenitiesВидео

Module 3 Assessments: OLS Regression

Lab Homework: OLS RegressionПрограммированиеLet's Practice: Introduction to Ordinary Least Squares RegressionЗаданиеTest Yourself: Introduction to Ordinary Least Squares RegressionЗадание