Lectures related to Exponential Functions

Explores the properties of the natural logarithm function and its graphical representation.

Coordinate Systems: Applications and Transformations

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

Differential Equations: Speed Variation Analysis

Covers the analysis of speed variation using differential equations and small time intervals.

Logarithmic Functions: Properties and Applications

Explores the properties and applications of natural logarithmic functions, including area invariance and harmonic series divergence.

Exponential Functions: Important Examples

Explores important examples of exponential functions and their limits, including lim (1 + ²)² = 0 and lim ex as x→∞.

Trigonometric Formulas

Covers examples of trigonometric, logarithmic, and exponential functions, focusing on solving equations and applying trigonometric identities.

Functions: Definitions and Notations

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Trigonometric Equations: Sinus and Cosinus

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

Exponential Functions and Logarithms

Explores exponential and logarithmic functions, their properties, relations, and graphs, including different bases and commonly used logarithms.

Harmonic Oscillations: Graphs

Explores the construction of graphs for harmonic oscillations with different amplitudes and phases.

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.