Lectures related to Absolute Value

Absolute Values: Equations and Inequalities

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

Hyperbolic Functions: Tangent and Cotangent

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

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

Mathematics: Basics and Applications

Covers the basics of mathematics and its applications in architecture.

Principle of Virtual Work: Tutorial Quiz Question

Covers the principle of virtual work and how to determine correct signs and calculations.

Nonlinear Systems: Seeking Solutions

Explores the search for solutions in nonlinear systems through various methods and techniques.

Polynomial Roots: Finding Solutions and Division

Explains how to find solutions for polynomial equations and perform polynomial division.

Linear Differential Equations: Methods and Solutions

Covers methods for solving first-order linear ordinary differential equations.

Higher Order Methods: Iterative Techniques

Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.

Numerical Methods: Differential Equations

Covers the application of numerical methods to solve differential equations using MATLAB.

Linear Algebra Basics

Covers the basics of linear algebra, including solving equations and understanding systems of linear equations graphically.

Trigonometric Formulas

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

Implicit Differentiation

Explores implicit differentiation and the Implicit Function Theorem for finding unique local functions.

Complex Numbers: Examples

Covers solving complex number equations with discriminants and exploring roots.

Mathematical Exercises: Functions and Equations

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

Limits: Understanding the Concept

Covers the concept of limits and how to determine their existence.

Resolution Sequence: Defining a Procedure

Explains the systematic procedure for solving flow sheets and stream calculations.

Mathematical Functions and Limits

Covers mathematical functions, limits, and their applications.

Integration by Parts: Taylor Series Development

Explains integration by parts and Taylor series development for finding explicit formulas and understanding term orders.

Cylindrical Coordinates and Fubini: Division of Domains

Covers the use of cylindrical coordinates and Fubini's theorem to calculate volumes of revolution bodies.