Lectures related to Mathematical Functions

Mathematical Exercises: Functions and Equations

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

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Mathematical Functions and Limits

Covers mathematical functions, limits, and their applications.

Complex Roots: Conjugate Pairs and Quadratic Equations

Explores complex roots, conjugate pairs, and quadratic equations solving strategies.

Functions: Limits, Continuity, Differentiability

Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.

Functions Composition: Continuity & Elements

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

Finding Absolute Extrema in Multivariable Functions

Covers the conditions for finding absolute extrema in multivariable functions.

Differential Equations: Implicit Function Theorem Applications

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

Taylor Polynomials: Calculating Limits and Derivatives

Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.

Linear Independence: The Wronskian Concept

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

Real Functions: Definitions and Examples

Explores definitions and examples of real functions of a real variable.

Mathematical Functions: Theory and Applications

Covers the theory and applications of mathematical functions, including polynomial, trigonometric, and exponential functions.

Quadratic Equation: Programming Solutions

Covers the programming of a script to calculate the solutions of quadratic equations.

Implicit Functions Theorem

Explores the Implicit Functions Theorem, demonstrating how to find solutions to equations like x²+y²=1 through implicit differentiation and function properties.

Norm Estimation and Continuity

Covers the estimation of norms and continuity in mathematical functions.

Complex Analysis: Functions and Their Properties

Covers the fundamentals of complex analysis, focusing on complex functions, their properties, and applications in solving differential equations.

Optimization Methods

Covers optimization methods without constraints, including gradient and line search in the quadratic case.

Deficiency in Cupliere Sulposous

Explores deficiency in cupliere sulposous through mathematical functions and variable relationships.

Derivatives of Trigonometric Inverse Functions

Explores derivatives of trigonometric inverse functions and their properties, with examples and solutions included.

How to Compute Derivatives?: Analysis 1 Lecture 18

Covers continuity, differentiation, and algebraic operations, including the computation of derivatives for various functions.