Lectures related to Equations and Inequalities on the Reals

Covers the introduction and solutions of linear equations, including methods for solving systems and determining the number of solutions.

Covers the definition of linear equations, systems, solutions, and representations in 2D and 3D.

Introduces linear equations, matrices, systems of equations, and solution sets for 2 or 3 unknowns.

Introduces linear algebra concepts, focusing on solving systems of linear equations and their representations.

Explores linearly independent solutions in quadratic equations and the role of constants in trigonometric solutions.

Covers the programming of a script to calculate the solutions of quadratic equations.

Covers the fundamentals of linear equations, systems, solutions, and graphical representation.

Covers methods for solving first-order linear ordinary differential equations.

Explores the precision of finite element models and higher order asymptotic estimates.

Explores systems of linear equations, elementary operations, augmented matrices, and Gaussian elimination algorithm.

Explores linear differential equations of the second order and the construction of linearly independent solutions.

Explores precision of higher order finite element models and applications of quadratic finite elements in elastodynamics.

Covers the basics of mathematics and its applications in architecture.

Covers the construction of general solutions for differential equations using the superposition principle and emphasizes the uniqueness of solutions.

Demonstrates the process of solving a Cauchy problem for a differential equation with specific initial conditions.

Covers linear differential equations with constant coefficients and introduces the method of good choice for finding particular solutions.

Explores general solutions of differential equations with a focus on x

Introduces linear equations with real coefficients, systems, solutions, and representations in 2D and 3D spaces.

Covers first-order differential equations, including linear equations and applications in physics.