Lectures related to Inverse Hyperbolic Functions: Examples

Hyperbolic Functions: Tangent and Cotangent

Covers the definitions and examples of hyperbolic tangent and cotangent functions.

Explores reciprocal trigonometric functions, hyperbolic functions, and area theorems.

Covers hyperbolic functions, including definitions, properties, and derivatives, explained with detailed examples and derivations.

Exponential Function: Theory and Applications

Explores the theory and applications of the exponential function and its properties.

Mathematical Exercises: Functions and Equations

Covers mathematical exercises on functions, equations, and trigonometric functions.

Separation of Variables: Solving Differential Equations

Covers the method of separation of variables for solving differential equations, focusing on the construction and uniqueness of solutions.

Solving Cauchy Problems: Differential Equations and Solutions

Demonstrates the process of solving a Cauchy problem for a differential equation with specific initial conditions.

Bioche Rules: Equations and Invariance

Explores invariance in algebraic equations and demonstrates solving trigonometric functions.

Absolute Values: Equations and Inequalities

Explores absolute values in equations and inequalities, focusing on solving |f(x)| = g(x).

Functions Composition: Continuity & Elements

Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.

Hyperbolic Functions

Explores hyperbolic functions, their properties, and derivatives, including tanh(x) and arctanh(x).

Inverse Hyperbolic Functions

Explores inverse hyperbolic functions and their parallels with trigonometric functions, deriving explicit expressions and discussing their properties.

Differential Equations: Implicit Function Theorem Applications

Discusses the reduction of higher-order differential equations to first-order systems using the implicit function theorem.

Differential Calculation: Hyperbolic Functions

Explores differential calculation with hyperbolic functions and Taylor series, emphasizing the importance of signed areas in integrals.

Advanced Analysis II: Differential Equations and Timers

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.

Linear Independence: The Wronskian Concept

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Differential Equations: Speed Variation Analysis

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

Mechanics: Introduction and Calculus

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Linear Differential Equations: Constant Coefficients and Solution Methods

Covers linear differential equations with constant coefficients and introduces the method of good choice for finding particular solutions.

Applications of Trigonometric Functions

Covers various applications of trigonometric functions, such as calculating values using inverse trigonometric functions.