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Lecture
Exponential Functions
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Functions Composition: Continuity & Elements
Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.
Continuity: Examples and Definitions
Covers the concept of continuity, providing examples and definitions of continuous functions.
Geometric Series: Properties and Applications
Explores the properties and applications of geometric series, including logarithmic functions and theorems related to area under curves.
Products and Convolution of Transforms
Covers the definition and properties of convolution of two functions and explores radioactive material decay rates.
Exponential Functions: Properties and Logarithms
Covers the properties of exponential and logarithmic functions.
Continuity of Trigonometric Functions
Explores the continuity of trigonometric functions and demonstrates specific limits and propositions related to them.
Harmonic Oscillations: Superposition
Explores the principle of superposition for harmonic oscillations and provides geometric interpretations and examples.
Limit Properties: Exponential and Logarithmic Functions
Covers the properties of limits related to exponential and logarithmic functions.
Algebraic Identities and Trigonometry
Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.
Triangle Resolution: Trigonometric Functions
Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.