Lectures related to Equation solving

Nonlinear Equations: Convergence and Taylor Polynomials

Explores nonlinear equations, emphasizing convergence and Taylor polynomials for function approximation.

Absolute Values: Equations and Inequalities

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

Solving Differential Equations

Covers the process of solving differential equations using various methods.

Proof of Sylow Subgroup Properties

Explores the properties of p-subgroups of Sylow in a group.

Solving Equations with Irrational Parametric Inequalities

Covers solving equations and inequalities with irrational parameters using step-by-step examples.

Linear Equations: Introduction and Solutions

Covers the introduction and solutions of linear equations, including methods for solving systems and determining the number of solutions.

Partial Differential Equations: Equations and Solutions

Explores partial differential equations, focusing on chapter 6 equations and their solutions through Fourier series and variable separation methods.

Nonlinear Equations: Fixed Point Method

Covers the topic of nonlinear equations and the fixed point method.

Block Pulled by a Spring: Dynamics

Covers the dynamics of a block connected to a spring, deriving equations of motion and solving for key time points.

Energy System Optimization: EPFL Project Overview

Introduces the EPFL project based learning approach for optimizing energy systems through theory, project tasks, and tools.

Mathematical Equation Rule

Covers the process of converting handwritten entries into text and sharing mathematical equation rules.

Absolute Value

Covers the concept of absolute value and its properties, including graphical interpretation and equation solving.

Mathematical Functions and Limits

Covers mathematical functions, limits, and their applications.

Principle of Virtual Work: Tutorial Quiz Question

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

Resolution Sequence: Defining a Procedure

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

Effective Field Theory: Universal Description at Low Energies

Explores effective field theory, emphasizing its application to the standard model and the hierarchy problem.

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.

Vibrational Mechanics: Modes and Equations

Covers the fundamentals of vibrational mechanics and solving equations for vibrating systems.

Theory Discussion: Degrees of Freedom Analysis and Solving Methods

Discusses degrees of freedom analysis and solving methods in energy conversion flowsheets.

Complex Numbers: Exponential Formulas

Covers the activation process of a home connection and explores exponential formulas, Euler's formula, and complex equations.