Mathematics Courses and Certifications

Series

Explora series geométricas, pruebas de convergencia y el número e, con demostraciones detalladas y ejemplos únicos como la suma monstruo y el test de bloques.

• YouTube
• 5 hours
• On-Demand
• Free Video

Limits and Continuity

Explore epsilon-delta continuity, uniform continuity, and limits through examples and theorems. Develop a deep understanding of fundamental calculus concepts and their applications.

• YouTube
• 9 hours
• On-Demand
• Free Video

Differentiation

Explora pruebas de reglas de derivación, teoremas de valor medio y puntos fijos, con ejemplos y contraejemplos únicos.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

Integration

Explore advanced integration techniques, including Darboux and Stieltjes integrals, proofs of fundamental calculus theorems, and innovative approaches to challenging integration problems.

• YouTube
• 2 hours 30 minutes
• On-Demand
• Free Video

Gaussian Integral

Explore 12 diverse methods to solve the Gaussian Integral, from polar coordinates to complex analysis, enhancing your mathematical problem-solving skills and deepening your understanding.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

Linear Equations

Aprende sobre eliminación gaussiana, independencia lineal, transformaciones lineales y matrices de rotación en 1.5 horas.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Determinants

Explore determinants through diverse applications, from Bomberman to Cramer's Rule, covering row-reduction, Vandermonde matrices, geometric interpretations, and practical tricks.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Eigenvalues

Explore eigenvalues through diverse applications, from Zelda to Pokémon battles. Master matrix operations, differential equations, and advanced concepts like Jordan Canonical Form.

• YouTube
• 7 hours
• On-Demand
• Free Video

Orthogonality

Explora conjuntos ortogonales, proyecciones, desigualdad de Cauchy-Schwarz, proceso de Gram-Schmidt, descomposición QR, regresión lineal, espacios de producto interno, polinomios de Legendre y series de Fourier.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

Symmetric Matrices

Explore symmetric matrices, quadratic forms, and the true second derivative test in linear algebra and calculus.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Integrals

Explore advanced integration techniques and solve complex integrals, from Gaussian to Frullani, enhancing your mathematical problem-solving skills.

• YouTube
• 18 hours
• On-Demand
• Free Video

Vector Spaces

Explora espacios vectoriales, subespacios, independencia lineal, coordenadas, bases y dimensiones, y más en este detallado estudio de álgebra lineal.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

Problem Solving Techniques

Explore advanced problem-solving techniques including the Pigeonhole Principle, induction, symmetry, and number theory applications to enhance analytical skills.

• YouTube
• 2 hours 30 minutes
• On-Demand
• Free Video

Representations of Finite Groups

Explore finite group representations through definitions and common examples, enhancing understanding of abstract algebra concepts.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Real Analysis

Explore fundamental concepts of real analysis, including supremum, completeness, sequences, series, continuity, differentiability, and integration, with a focus on rigorous mathematical proofs and theorems.

• YouTube
• 15 hours
• On-Demand
• Free Video