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Lecture
Exponential Functions: Properties and Logarithms
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Natural Logarithm: Graph
Explores the properties and graph of the natural logarithm function, emphasizing its bijectivity and the Euler's number 'e'.
Triangle Resolution: Trigonometric Functions
Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.
Derivability of Functions
Focuses on determining the derivability of functions within their domains using square roots, logarithmic, and exponential functions.
Trigonometric Functions: Right Triangle
Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.
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.
Exponential Functions
Explores the properties of exponential functions, including growth, decay, and their relationship with logarithmic functions.
Natural Logarithm: Definition and Properties
Delves into the definition, geometric interpretation, and properties of the natural logarithm, including its continuity and behavior as x approaches infinity or zero.
Power Functions: Properties and Derivatives
Covers properties of logarithms, power functions, and their derivatives, with examples illustrating key concepts.
Power Functions: Definition
Explores power functions with functions as base and exponent, emphasizing exponential function continuity and derivative analysis.
