Lectures related to Deduction of Lagrange Formula II

Differential Equations: Mathematical Complements

Covers the definition of differential equations and their relation to functions and derivatives.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Discusses the graph of a relation and the concept of separation.

Polar Coordinates: Position and Velocity

Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.

Surfaces: The Torus

Explores the definition of surfaces, focusing on the torus and its construction through various examples and morphic images.

Optimization Problems: Algebra and Trinomial Equations

Explores optimization problems in algebra and trinomial equations, focusing on maximizing area with fixed perimeters.

Homotopy: Fundamentals and Examples

Covers the fundamentals of homotopy and its applications in topology.

Belief Propagation: Key Methods and Analysis

Covers Belief Propagation, a key method for both analysis and algorithm.

Consequences of TBS

Explores the consequences of the Total Bell System (TBS) in a commutative body.

Implicit Functions Theorem

Explores the implicit functions theorem and the equation of the tangent plane in a graph.

Virtual Work II: Examples of Potentials

Covers examples of potentials in virtual work for structural mechanics.

General Physics: Mechanics

Explores mechanics concepts, including moments of inertia for common solids and their practical applications.

Introduction to Category Theory: Examples

Introduces the theory of categories through examples and discusses the product of categories.

Rotations: Fixed Points and Spherical Coordinates

Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.

Space Identification: SO(3)

Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).

Dynamics on Homogeneous Spaces and Interactions with Number Theory

Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.

Dynamics of Pendulum: Equilibrium and Kinetic Energy

Explores the dynamics of a pendulum, emphasizing equilibrium conditions and kinetic energy calculations for different points.

Derivatives of Trigonometric Functions

Explores the derivatives of trigonometric functions and their reciprocals.

Advanced Physics I

Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.