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Skillshare

Linear Algebra for Beginners: Open Doors to Great Careers

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Overview

Would you like to learn a mathematics subject that is crucial for many high-demand lucrative career fields such as:

  • Computer Science
  • Data Science
  • Actuarial Science
  • Financial Mathematics
  • Cryptography
  • Engineering
  • Computer Graphics
  • Economics

If you're looking to gain a solid foundation in Linear Algebra, allowing you to study on your own schedule at a fraction of the cost it would take at a traditional university, to further your career goals, this online course is for you. If you're a working professional needing a refresher on linear algebra or a complete beginner who needs to learn Linear Algebra for the first time, this online course is for you.

Why you should take this online course: You need to refresh your knowledge of linear algebra for your career to earn a higher salary. You need to learn linear algebra because it is a required mathematical subject for your chosen career field such as computer science or electrical engineering. You intend to pursue a masters degree or PhD, and linear algebra is a required or recommended subject.

Why you should choose this instructor: I earned my PhD in Mathematics from the University of California, Riverside. I have extensive teaching experience: 6 years as a teaching assistant at University of California, Riverside, over two years as a faculty member at Western Governors University, #1 in secondary education by the National Council on Teacher Quality, and as a faculty member at Trident University International.

In this course, I cover the core concepts such as:

  • Gaussian elimination
  • Vectors
  • Matrix Algebra
  • Determinants
  • Vector Spaces
  • Subspaces

After taking this course, you will feel CARE-FREE AND CONFIDENT. I will break it all down into bite-sized no-brainer chunks. I explain each definition and go through each example STEP BY STEP so that you understand each topic clearly. 

Practice problems are provided for you, and detailed solutions are also provided to check your understanding.

Grab a cup of coffee and start listening to the first lecture. Enroll now!

Syllabus

  • Introduction Lecture
  • Gaussian Elimination Systems of 2 Equations
  • Gaussian Elimination and Row Echelon Form Systems of 3 Equations
  • Elementary Row Operations
  • Elementary Row Operations Additional Example
  • Vector Operations and Linear Combinations
  • Vector Equations and the Matrix Equation Ax=b
  • Linear Independence
  • Linear Independence Example 1
  • Linear Independence Example 2
  • Matrix Operations Addition and Scalar Multiplication Corrected (Am)
  • Matrix Operations Multiplication
  • Commutativity, Associativity, and Distributivity
  • Identities, Additive Inverses, Multiplicative Associativity and Distributivity
  • Transpose of a Matrix
  • Inverse Matrix
  • Gauss Jordan Elimination
  • Gauss Jordan Elimination Additional Example
  • Determinant of a 2 by 2 Matrix
  • Cofactor Expansion
  • Cofactor Expansion Additional Examples
  • Determinant of a Product of Matrices and of a Scalar Multiple of a Matrix
  • Determinants and Invertibility
  • Determinants and Transposes
  • Vector Space Definition
  • Vector Space Example
  • Vector Space Example Continued
  • Vector Space Additional Example
  • Vector Space Additional Example Continued
  • Examples of Sets that are Not Vector Spaces
  • Subspace Definition and Subspace Properties
  • Definition of Trivial and Nontrivial Subspace
  • Additional Example of Subspace
  • Subsets that are Not Subspaces
  • Subsets that are Not Subspaces Additional Example
  • Span
  • Span of a Subset of a Vector Space
  • Linear Independence 2
  • Determining Linear Independence or Dependence
  • Basis
  • Dimension
  • Coordinates
  • Change of Basis
  • Examples of Finding Transition Matrices

Taught by

Richard Han

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