Lectures related to Linear Algebra Basics

Differential Equations: General Solutions and Methods

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Linear Independence and Bases

Covers linear independence, bases, and coordinate systems with examples and theorems.

Differential Equations: Speed Variation Analysis

Covers the analysis of speed variation using differential equations and small time intervals.

Linear Algebra: Systems of Equations

Explores solving systems of equations using matrices and determinants.

Linear Algebra: Organization and Exercises

Covers the organization of linear algebra course and exercises for civil engineering and environmental sciences students.

Linear Equations: Solving Systems and Matrices

Covers solving linear equations, focusing on systems with zero, one, or infinite solutions, and introduces matrices as a powerful tool for efficient solution.