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Lecture
Elementary Functions: Examples
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Functions: Elementary Functions
Covers elementary functions like tan(x), sin(x), and cos(x) along with trigonometric identities and Pythagorean theorem.
Trigonometric Functions: Right Triangle
Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.
Complex Numbers: Introduction and Operations
Covers the introduction and operations of complex numbers in physics and engineering applications.
Derivatives and Approximations: Logarithmic Functions
Explores derivatives and approximations, focusing on logarithmic functions and their properties.
Reciprocal Trigonometric Functions
Explores reciprocal trigonometric functions, hyperbolic functions, and area theorems.
Algebraic Identities and Trigonometry
Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.
Trigonometric Functions: Basics and Applications
Introduces the basics of trigonometric functions, their properties, and practical applications in geometry and physics.
Integration Techniques: Part 2
Explores integration techniques, including indefinite integrals and variable changes, through trigonometric functions.
Trigonometric Formulas
Covers examples of trigonometric, logarithmic, and exponential functions, focusing on solving equations and applying trigonometric identities.
Harmonic Oscillations: Superposition
Explores the principle of superposition for harmonic oscillations and provides geometric interpretations and examples.