Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

freeCodeCamp

Linear Algebra - Full College Course

via freeCodeCamp

Overview

This course on Linear Algebra aims to teach students the fundamental concepts and techniques in the field. By the end of the course, learners will be able to solve linear systems, describe solution sets, work with vectors in space, understand Gauss-Jordan elimination, grasp the concepts of vector spaces, subspaces, linear independence, basis, dimension, isomorphism, homomorphism, range space, null space, linear maps, matrix operations, determinants, complex vector spaces, similarity, diagonalizability, and eigenvalues/eigenvectors. The course is taught through pre-recorded video lectures and follows a textbook authored by the instructor. This college-level course is suitable for individuals interested in mathematics, computer science, engineering, or related fields who want to develop a strong foundation in linear algebra.

Syllabus

Introduction to Linear Algebra by Hefferon.
One.I.1 Solving Linear Systems, Part One.
One.I.1 Solving Linear Systems, Part Two.
One.I.2 Describing Solution Sets, Part One.
One.I.2 Describing Solution Sets, Part Two.
One.I.3 General = Particular + Homogeneous.
One.II.1 Vectors in Space.
One.II.2 Vector Length and Angle Measure.
One.III.1 Gauss-Jordan Elimination.
One.III.2 The Linear Combination Lemma.
Two.I.1 Vector Spaces, Part One.
Two.I.1 Vector Spaces, Part Two.
Two.I.2 Subspaces, Part One.
Two.I.2 Subspaces, Part Two.
Two.II.1 Linear Independence, Part One.
Two.II.1 Linear Independence, Part Two.
Two.III.1 Basis, Part One.
Two.III.1 Basis, Part Two.
Two.III.2 Dimension.
Two.III.3 Vector Spaces and Linear Systems.
Three.I.1 Isomorphism, Part One.
Three.I.1 Isomorphism, Part Two.
Three.I.2 Dimension Characterizes Isomorphism.
Three.II.1 Homomorphism, Part One.
Three.II.1 Homomorphism, Part Two.
Three.II.2 Range Space and Null Space, Part One.
Three.II.2 Range Space and Null Space, Part Two..
Three.II Extra Transformations of the Plane.
Three.III.1 Representing Linear Maps, Part One..
Three.III.1 Representing Linear Maps, Part Two.
Three.III.2 Any Matrix Represents a Linear Map.
Three.IV.1 Sums and Scalar Products of Matrices.
Three.IV.2 Matrix Multiplication, Part One.
Three.IV.2 Matrix Multiplication, Part Two.

Taught by

freeCodeCamp.org

Reviews

Start your review of Linear Algebra - Full College Course

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.