Lectures related to Solutions to QCM 7-8

Mathematics: Basics and Applications

Covers the basics of mathematics and its applications in architecture.

Algebraic Expressions

Covers algebraic expressions, operations, factorization, and equation solving.

Algebraic Functions: Two Gendarmes

Explores algebraic functions, limits, and behavior as x approaches infinity.

Geometry: Euclidean Elements & Vitruvius

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Quadratic Equation: Programming Solutions

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

Inequalities and Square Roots

Covers the topic of inequalities involving square roots and provides examples and solutions.

Limits and Convergence

Explores limits and convergence in mathematical sequences involving square roots and variables.

Domain Verification in Equations

Emphasizes the importance of verifying the possible domain of a function before solving an equation.

Level Sets and Continuity

Covers level sets and continuity in advanced analysis, emphasizing the importance of understanding level sets for various functions.

Value Increase: Real Estate Economics I

Explores the calculation of return rates and the importance of value increase in real estate economics.

Chemical Reactions: Stoichiometry and Enthalpy

Covers stoichiometry, reaction enthalpy, bond dissociation, and progress variables in chemical reactions.

Integration by Recurrence

Explores integration by recurrence method with examples of square roots and polynomials.

Solutions to QCM 1-3

Covers the solutions to multiple-choice questions 1 to 3.

Square Roots with Newton's Methods

Explores the computation of square roots using Newton's method and addresses precision challenges in the process.

Pairs of Functions

Discusses reciprocal functions and their graphs, including x² and √x, e^x and ln(x), and tangent and arc tangent.

Square Roots and Complex Numbers

Explores square roots in quadratic equations, complex numbers, Fermat prime numbers, and the Gauss-Wantzel theorem.

Solving the Quintic: Dominant Balance Analysis

Explores dominant balance analysis in solving the quintic polynomial, revealing insights into root behavior and the importance of symbolic expressions.

Information Recovery in the Main Land

Covers mathematical methods for information recovery in a main land.

Electrical Networks: Active and Reactive Losses

Explores active and reactive losses in electrical networks through phasor diagrams and exercises.

Bioche Rules: Equations and Invariance

Explores invariance in algebraic equations and demonstrates solving trigonometric functions.