Exponential Functions: Properties and Logarithms

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Stirling's formula: Euler's integral and Gaussian integral

Explores Stirling's formula, Euler's integral, and the Gaussian integral for estimating n factorial.

Differential Calculation: Trigonometric Derivatives

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Power Series Functions: Logarithm and Exponential

Explores power series functions, particularly the logarithm and exponential functions, discussing convergence, extension, and roots of entire functions.

Limit Study: Sinus and Logarithm

Focuses on studying a limit involving sinus and logarithm functions as x approaches positive infinity.

Complexity of Algorithms: Advanced Big-O Facts

Covers big-O estimates for factorial function and combinations of functions.

Exponential Functions: Properties and Logarithms

Covers the properties of exponential and logarithmic functions.

Properties of Entropy

Explores the properties of entropy, including positivity and nullity conditions.

Domain Verification in Equations

Emphasizes the importance of verifying the possible domain of a function before solving an equation.

Geometric Series: Properties and Applications

Explores the properties and applications of geometric series, including logarithmic functions and theorems related to area under curves.

Frequency Response and Bode Diagrams

Explores transfer functions, frequency response, Bode diagrams, and poles and zeros in circuits.