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Lecture
Derivatives of Elementary Functions
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Derivatives of Trigonometric Inverse Functions
Explores derivatives of trigonometric inverse functions and their properties, with examples and solutions included.
Functions Composition: Continuity & Elements
Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.
Trigonometric Formulas
Covers examples of trigonometric, logarithmic, and exponential functions, focusing on solving equations and applying trigonometric identities.
Triangle Resolution: Trigonometric Functions
Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.
Trigonometric Formulas: Bisection & Transformations
Covers trigonometric bisection formulas and transformations between sums and products.
Exponential Functions: Important Examples
Explores important examples of exponential functions and their limits, including lim (1 + ²)² = 0 and lim ex as x→∞.
Harmonic Oscillations: Superposition
Explores the principle of superposition for harmonic oscillations and provides geometric interpretations and examples.
Derivatives and Approximations: Logarithmic Functions
Explores derivatives and approximations, focusing on logarithmic functions and their properties.
Trigonometric Equations: Sinus and Cosinus
Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.
Trigonometric Formulas: Addition Theorem
Explores trigonometric addition theorem, double angles, and tangent properties.
