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Linear Algebra from Elementary to Advanced Specialization

Description

This specialization is a three course sequence that will cover the main topics of undergraduate linear algebra. Defined simply, linear algebra is a branch of mathematics that studies vectors, matrices, lines and the areas and spaces they create. These concepts are foundational to almost every industry and discipline, giving linear algebra the informal name "The Theory of Everything". This specialization assumes no prior knowledge of linear algebra and requires no calculus or similar courses as a prerequisite. The first course starts with the study of linear equations and matrices. Matrices and their properties, such as the determinant and eigenvalues are covered. The specialization ends with the theory of symmetric matrices and quadratic forms. Theory, applications, and examples are presented throughout the course. Examples and pictures are provided in low dimensions before abstracting to higher dimensions. An equal emphasis is placed on both algebraic manipulation as well as geometric understanding of the concepts of linear algebra. Upon completion of this specialization , students will be prepared for advanced topics in data science, AI, machine learning, finance, mathematics, computer science, or economics. Applied Learning Project Learners will have the opportunity to complete special projects in the course. Projects include exploration of advanced topics in mathematics and their relevant applications. Project topics include Markov Chains, the Google PageRank matrix, and recursion removal using eigenvalues. Read more

Microcredentials

Coursera

Free to Audit

1 month at 10 hours a week

Beginner

Paid Certificate

Linear Algebra from Elementary to Advanced Specialization

Affiliate notice

  • Type
    Microcredentials
  • Provider
    Coursera
  • Pricing
    Free to Audit
  • Duration
    1 month at 10 hours a week
  • Difficulty
    Beginner
  • Certificate
    Paid Certificate

This specialization is a three course sequence that will cover the main topics of undergraduate linear algebra. Defined simply, linear algebra is a branch of mathematics that studies vectors, matrices, lines and the areas and spaces they create. These concepts are foundational to almost every industry and discipline, giving linear algebra the informal name "The Theory of Everything". This specialization assumes no prior knowledge of linear algebra and requires no calculus or similar courses as a prerequisite. The first course starts with the study of linear equations and matrices. Matrices and their properties, such as the determinant and eigenvalues are covered. The specialization ends with the theory of symmetric matrices and quadratic forms. Theory, applications, and examples are presented throughout the course. Examples and pictures are provided in low dimensions before abstracting to higher dimensions. An equal emphasis is placed on both algebraic manipulation as well as geometric understanding of the concepts of linear algebra. Upon completion of this specialization , students will be prepared for advanced topics in data science, AI, machine learning, finance, mathematics, computer science, or economics. Applied Learning Project Learners will have the opportunity to complete special projects in the course. Projects include exploration of advanced topics in mathematics and their relevant applications. Project topics include Markov Chains, the Google PageRank matrix, and recursion removal using eigenvalues. Read more