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Linear Algebra: Linear Systems and Matrix Equations · LearnSpace
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Linear Algebra: Linear Systems and Matrix Equations

Курс от Johns Hopkins University
Начальный≈ 10.2 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

This is the first course of a three course specialization that introduces the students to the concepts of linear algebra, one of the most important and basic areas of mathematics, with many real-life applications. This foundational material provides both theory and applications for topics in mathematics, engineering and the sciences. The course content focuses on linear equations, matrix methods, analytical geometry and linear transformations. As well as mastering techniques, students will be exposed to the more abstract ideas of linear algebra. Lectures, readings, quizzes, and a project all help students to master course content and and learn to read, write, and even correct mathematical proofs. At the end of the course, students will be fluent in the language of linear algebra, learning new definitions and theorems along with examples and counterexamples. Students will also learn to employ techniques to classify and solve linear systems of equations. This course prepares students to continue their study of linear transformations with the next course in the specialization. .

Навыки, которые вы освоите

Linear AlgebraEngineering AnalysisGeometryAlgebraMathematical Theory & AnalysisAdvanced MathematicsApplied Mathematics

Программа курса

4 модулей · 26 учебных материалов

01Introduction to Matrices7 материалов

Matrices and Linear Systems

Systems of Linear EquationsВидеоMatrices and Linear SystemsЧтениеMatrices and Linear Systems PracticeЗадание

Row Reduction

Row Reduction and Echelon Form

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Joseph W. Cutrone, PhD

Associate Teaching Professor and Director of Online Programs

Linear Algebra: Linear Systems and Matrix Equations
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Обучение на Coursera

≈ 10.2 ч

4 модулей

Язык: Английский

Часть программы вашего университета
Видео
Row ReductionЧтение
Row Reduction PracticeЗадание

Module 1 Assessment

Introduction to MatricesЗадание
02Vector and Matrix Equations8 материалов

Vector Equations

Vector EquationsВидеоVector EquationsЧтениеVector Equations PracticeЗадание

Matrix Equations

Matrix EquationsВидеоSolution Sets of Linear SystemsВидеоMatrix EquationsЧтениеMatrix Equations PracticeЗадание

Module 2 Assessment

Vector and Matrix EquationsЗадание
03Linear Transformations10 материалов

Linear Independence

Linear IndependenceВидеоLinear IndependenceЧтениеLinear Independence PracticeЗадание

Linear Transformations

Introduction to Linear TransformationsВидеоLinear TransformationsЧтениеLinear Transformations PracticeЗадание

Matrices and Linear Transformations

The Matrix of a Linear TransformationВидеоMatrices and Linear TransformationsЧтениеMatrices and Linear Transformations PracticeЗадание

Module 3 Assessment

Linear TransformationsЗадание
04Final Assessment1 материалов

Final Assessment

Linear Systems and Matrix EquationsЗадание