Lectures related to Introduction to Physics: Observations, Mathematics, and Natural Phenomena

Analytical Study of Space

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Advanced Physics I: Definitions and Motion

Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.

Linear Transformations: Matrices and Applications

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Elements of Lie Groups and Algebras

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Mechanics: Introduction and Calculus

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

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Vector Position and Time in Physics: Motion in the Plane

Covers the fundamental concepts of physics related to the motion of objects in a plane.

Motion in Two and Three Dimensions

Covers motion in two and three dimensions, including projectile motion and gravity effects.

Static Equilibrium: Forces and Moments in Mechanics

Covers the principles of static equilibrium and the balance of forces in mechanical systems.

Vectors: Coordinate Calculations

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.

Vector Calculus: Scalars and Vectors

Introduces scalars and vectors, explaining their properties and mathematical operations.

Representation Theory: Algebras and Homomorphisms

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Linear Applications: Matrices and Transformations

Covers linear applications, matrices, transformations, and the principle of superposition.

Geometric Sequences: Recurrence System

Covers geometric sequences and recurrence systems to find sequence terms and patterns.

Electromagnetism: UNIL-208

Introduces the basics of electromagnetism, covering derivatives, vector calculus, scalar and vector products, and their applications in physics and engineering.

Vector Transformation and Tense

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Vector Algebra: Scalar Product

Explores the scalar product of vectors, including properties and calculation methods.

General Physics: Fluids and Electromagnetism

Covers hydrodynamic and electromagnetic principles for second-semester mathematics students.

Vector Manipulation: Live Written Corrections

Covers vector manipulation, including Cartesian coordinates, magnitudes, angles, and resultant forces through live written corrections of exercises.

Integration: more examples and rational functions

Covers antiderivatives, fundamental theorems, integration techniques, and rational functions.