Lectures related to Unit circle

Trigonometric Circle: Interpretation and Applications

Explores the interpretation of angles on the trigonometric circle and its applications in circular motion.

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Mathematical Reminders: Trigonometry

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

Trigonometric Functions: Sin and Cos

Covers the definition of sine and cosine functions, their graphs, and notable points.

Applications of Residue Theorem in Complex Analysis

Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.

Trigonometric Circle Basics

Covers the trigonometric circle basics, including angles measurement and circular motion.

Complex Analysis: Laurent Series

Explores Laurent series in complex analysis, emphasizing singularities, residues, and the Cauchy theorem.

Geometrical Aspects of Differential Operators

Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.

Finding Absolute Extrema in Multivariable Functions

Covers the conditions for finding absolute extrema in multivariable functions.

Quantum Chemistry: Lecture Series

Series covers spherical coordinates, harmonics, Legendre polynomials, and angular momentum.

ROC for Rational Transforms

Covers the concept of Region of Convergence for rational transforms and its properties.

Angle Measurement: Radians and Degrees

Covers angle measurement using radians and degrees, including unit conversion and trigonometric circle symmetries.

Trigonometric Functions: Basics and Applications

Introduces the basics of trigonometric functions, their properties, and practical applications in geometry and physics.

Angle Measurement: Trigonometric Concepts

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

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Advanced Physics I: Dynamics of Particle Systems

Covers advanced topics in physics, focusing on the dynamics of particle systems and collisions.

Intersection between Sphere and Cone

Explores the intersection between a sphere and a cone using spherical and cylindrical coordinates.

Vector Calculus: Derivatives and Products

Covers vector calculus concepts such as scalar and vector products, trigonometric circle, and derivatives of composite functions.

Hyperbolic Functions: Circle and Hyperbola

Explores the connection between hyperbolic and trigonometric functions through circles and hyperbolas.

Parametrized Curves in 2D

Covers the concept of parametrized curves in 2D and their properties.