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Lecture
Elementary Functions: Infinite Orders and Limits
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Derivatives and Approximations: Logarithmic Functions
Explores derivatives and approximations, focusing on logarithmic functions and their properties.
Functions Composition: Continuity & Elements
Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.
Derivatives of Elementary Functions
Explores the derivation of elementary and trigonometric functions, including sine, cosine, and tangent.
Continuous Functions and Elementary Functions
Covers the definition and properties of continuous functions on open intervals and elementary functions.
Logarithmic Functions: Properties and Applications
Explores the properties and applications of natural logarithmic functions, including area invariance and harmonic series divergence.
Trigonometric Formulas
Covers examples of trigonometric, logarithmic, and exponential functions, focusing on solving equations and applying trigonometric identities.
Algebraic Identities and Trigonometry
Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.
Harmonic Oscillations: Graphs
Explores the construction of graphs for harmonic oscillations with different amplitudes and phases.
Trigonometric Formulas: Bisection & Transformations
Covers trigonometric bisection formulas and transformations between sums and products.
Triangle Resolution: Trigonometric Functions
Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.