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  • Courseware 
    MIT Open Courseware - Linear Algebra

    MIT Open Courseware - Linear Algebra

    This course has been designed for independent study. It provides everything you will need to understand the concepts covered in the course. The materials include:
    A complete set of Lecture Videos by Professor Gilbert Strang.
    Summary Notes for all videos along with suggested readings in Prof. Strang’s textbook Linear Algebra.
    Problem Solving Videos on every topic taught by an experienced MIT Recitation Instructor.
    Problem Sets to do on your own with Solutions to check your answers against when you’re done.
    A selection of Java® Demonstrations to illustrate key concepts.
    A full set of Exams with Solutions, including review material to help you prepare.

    Course related:
    AMA1120 Basic Mathematics II
    Subjects:
    Mathematics and Statistics
    Keywords:
    Algebras Linear
    Resource Type:
    Courseware
     
  • Video 
    Gilbert Strang lectures on Linear Algebra (MIT)

    Gilbert Strang lectures on Linear Algebra (MIT)

    Lecture videos from Gilbert Strang's course on Linear Algebra at MIT.

    Course related:
    AMA1120 Basic Mathematics II - Calculus and Linear Algebra
    Subjects:
    Mathematics and Statistics
    Keywords:
    Algebras Linear
    Resource Type:
    Video
     
  • Video 
    Intro: A New Way to Start Linear Algebra

    Intro: A New Way to Start Linear Algebra

    Professor Strang describes independent vectors and the column space of a matrix as a good starting point for learning linear algebra. His outline develops the five shorthand descriptions of key chapters of linear algebra.

    Course related:
    COMP4432 Machine Learning
    Subjects:
    Mathematics and Statistics
    Keywords:
    Algebras Linear
    Resource Type:
    Video
     
  • Courseware 
    Linear Algebra

    Linear Algebra

    This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, quadratic forms, and canonical forms of matrices.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Algebras Linear
    Resource Type:
    Courseware
     
  • Courseware 
    Number Theory II: Class Field Theory

    Number Theory II: Class Field Theory

    This course is the continuation of 18.785 Number Theory I. It begins with an analysis of the quadratic case of Class Field Theory via Hilbert symbols, in order to give a more hands-on introduction to the ideas of Class Field Theory. More advanced topics in number theory are discussed in this course, such as Galois cohomology, proofs of class field theory, modular forms and automorphic forms, Galois representations, and quadratic forms.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Galois cohomology Algebraic number theory Class field theory
    Resource Type:
    Courseware
     
  • Courseware 
    Work

    Number Theory I

    This is the first semester of a one year graduate course in number theory covering standard topics in algebraic and analytic number theory. At various points in the course, we will make reference to material from other branches of mathematics, including topology, complex analysis, representation theory, and algebraic geometry.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Number theory Algebraic number theory
    Resource Type:
    Courseware