Lectures related to Trigonometric Formulas: Addition and Subtraction

Geometric Transformations in R2 and R3: Visualizations and Rotations

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Transformation: Constraints and Deformations

Explores the transformation of constraints and deformations in materials, focusing on stress analysis and tensor diagonalization.

Trigonometric Formulas: Addition Theorem

Explores trigonometric addition theorem, double angles, and tangent properties.

Complex Numbers: Polar Form, Powers, Roots

Explores complex numbers in polar form, powers, and roots, including trigonometric relationships and rotation matrices.

Angle Measurement: Trigonometric Concepts

Explores angle measurement using a unit circle, radians, and trigonometric concepts, including clock hand movements and infinite angles.

Conformal Transformations: Part 1

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Mathematical Reminders: Trigonometry

Covers mathematical reminders on trigonometry, focusing on angles in radians and trigonometric functions.

Trigonometric Formulas: Bisection & Transformations

Covers trigonometric bisection formulas and transformations between sums and products.

Angle and Functions

Delves into fundamental special functions like trigonometric, logarithmic, and exponential functions, emphasizing the concept of angles in various applications.

Trigonometric Functions: Tangent and Cotangent

Explores the definition, properties, and geometric interpretations of tangent and cotangent functions in trigonometry.

Circular Trigonometry: Understanding Geometric Angles

Explores the concept of angles in circular trigonometry, emphasizing geometric angles and their properties.

Small Rotations and Angles

Explores small rotations, angles, and skew-symmetric matrices in mathematical transformations.

Analytical Geometry: Oriented Angles

Explores oriented angles in analytical geometry, discussing unit vectors, trigonometric functions, matrix representations, and rotations.

Isometries: Definition and Examples

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.

Trigonometric Equations: Sinus and Cosinus

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

Trigonometric Functions: Right Triangle

Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.

Triangle Resolution: Trigonometric Functions

Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.

Geometric Transformations Compositions

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

Symmetry in Modern Geometry

Delves into modern geometry, covering transformations, isometries, and symmetries.

Isometries & Orientation in Modern Geometry

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.