Lectures related to Optimization Problems: Algebra and Trinomial Equations

Differential Equations: Mathematical Complements

Covers the definition of differential equations and their relation to functions and derivatives.

Conformal Field Theory: Generators and Commutation Relations

Covers the definition of generators of the conformal group and the application of Wick's theorem.

Implicit Functions Theorem

Explores the implicit functions theorem and the equation of the tangent plane in a graph.

Linear Approximation and Derivative Parametric

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Geometric Sequences: Recurrence System

Covers geometric sequences and recurrence systems to find sequence terms and patterns.

Limits of Sequences

Covers the concept of limits of sequences, including definitions, examples, boundedness, and more.

Graph and Diagonal

Discusses the graph of a relation and the concept of separation.

Analytic Continuation of Zeta Function

Explores the analytic continuation of the zeta function and its relation to holomorphic functions and natural numbers.

Natural Transformations in Algebra

Explores natural transformations in algebra, defining functors and isomorphisms.

Belief Propagation: Key Methods and Analysis

Covers Belief Propagation, a key method for both analysis and algorithm.

Optimization Techniques: Local and Global Extrema

Discusses optimization techniques, focusing on local and global extrema in functions.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Surfaces: The Torus

Explores the definition of surfaces, focusing on the torus and its construction through various examples and morphic images.

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Advanced Physics I: Orders of Magnitude

Explores the triumph of determinism in modern mechanics and the methodology of scientific development, with practical exercises on estimating surgical mask usage and analyzing atomic bomb energy.

Consequences of TBS

Explores the consequences of the Total Bell System (TBS) in a commutative body.

Mathematics of Data: Models and Learning

Explores models, learning paradigms, and applications in Mathematics of Data.

Linear Algebra: Cramer's Rule

Covers Cramer's Rule for solving linear equations using determinants.

Data Wrangling with Hive: Managing Big Data Efficiently

Covers data wrangling techniques using Apache Hive for efficient big data management.