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Lecture
Exponential Function: Properties and Definitions
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Triangle Resolution: Trigonometric Functions
Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.
Limits and Exponential Functions
Explores limits, exponential functions, and logarithms properties.
Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Derivatives of Trigonometric Inverse Functions
Explores derivatives of trigonometric inverse functions and their properties, with examples and solutions included.
Generalized Integrals: Convergence and Divergence
Explores the convergence and divergence of generalized integrals using comparison methods and variable transformations.
Limits and Operations on Limits
Covers limits, algebraic operations, and infinite limits with examples of functions' behavior near limit points.
Composition of Functions: Application and Reciprocal Functions
Covers the composition of functions and reciprocal functions, with examples and formulas on logarithms and bijective functions.
Geometric Series: Properties and Applications
Explores the properties and applications of geometric series, including logarithmic functions and theorems related to area under curves.
Limit of a Sequence
Simplifies limit calculations by applying properties of logarithms and exponentials.