Quadratic Forms Courses and Certifications

Institute for Pure & Applied Mathematics (IPAM)

Computer-Assisted Proofs in the Arithmetic of Quadratic Forms - IPAM at UCLA

Explore computer-assisted proofs in quadratic forms arithmetic, covering equivalence, representation, local-global principles, and modular forms. Gain insights into complex computations across mathematics.

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

International Centre for Theoretical Sciences

Quadratic Forms and Hermite Constant, Reduction Theory by Radhika Ganapathy

Explores techniques for computing densest lattice packings, including quadratic forms, Hermite constants, and reduction theory. Covers perfect forms, eutactic lattices, and Voronoi's algorithm for listing perfect forms.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

BIMSA

From Quadratic Forms to Motivic Cohomologies

Explore the journey from quadratic forms to motivic cohomologies, delving into advanced mathematical concepts and their applications in algebraic geometry.

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

Michael Penn

Quadratic Forms - Number Theory

Explore quadratic forms in number theory, delving into their properties, applications, and significance in mathematical analysis.

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

Insights into Mathematics

Paraboloids and Associated Quadratic Forms - Differential Geometry

Explore paraboloids and quadratic forms in differential geometry, covering diagonalization, eigenvalues, and Dupin's indicatrix. Learn key concepts for understanding surface curvature.

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

IAS | PCMI Park City Mathematics Institute

Quadratic Forms, Milnor K-Theory, and Arithmetic - 2021

Explore quadratic forms theory, Milnor K-theory, and arithmetic through the Hasse-Minkowski theorem, quadratic reciprocity law, and Siegel mass formula with experimental mathematics.

• YouTube
• 17 hours 6 minutes
• On-Demand
• Free Video

IMSA

Quadratic Forms in Surface Automorphisms and Singularity Theory

Explore pseudo-periodic surface automorphisms, quadratic forms, and their applications in singularity theory. Gain insights into Milnor fibers and monodromy automorphisms.

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

Wrath of Math

Quadratic Forms in Matrix Notation - Linear Algebra

Explore quadratic forms in matrix notation for R^2 and R^3, learning how to write and interpret these essential linear algebra concepts with clear examples and explanations.

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

Hausdorff Center for Mathematics

Counting Lattice Points in Ellipsoids and the Central Limit Theorem for Quadratic Forms

Delve into advanced mathematical concepts exploring lattice point counting in ellipsoids, error bounds, and their connection to probability theory's central limit theorem.

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

Institute for Advanced Study

On Indefinite Integral Ternary Quadratic Forms

Explore advanced solutions to two key problems on indefinite integral ternary quadratic forms, including Markoff spectrum distribution and isotropic form growth patterns.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

statisticsmatt

Quadratic Forms

Explore the distribution, properties, and independence of quadratic forms in multivariate normal distributions, including Cochran's Theorem and related proofs.

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

Microcredential

Linear Algebra from Elementary to Advanced

224 ratings at Coursera

Comprehensive introduction to linear algebra, covering vectors, matrices, and their applications. Emphasizes both algebraic and geometric understanding, preparing students for advanced topics in various fields.

• Coursera
• 4 weeks, 10 hours a week
• On-Demand
• Paid Course
• 3 courses

Linear Algebra: Orthogonality and Diagonalization

46 ratings at Coursera

Explore orthogonality, diagonalization, and symmetric matrices, gaining skills applicable to AI and machine learning. Develop a strong foundation for advanced studies in data science and mathematics.

• Coursera
• 9 hours 15 minutes
• On-Demand
• Paid Course

Linear Algebra and Geometry 3

123 ratings at Udemy

Inner product spaces, quadratic forms, symmetric matrices: more advanced problem solving; singular value decomposition

• Udemy
• 2 days 3 hours
• On-Demand
• Paid Course

Packt

Matrix Calculus for Data Science & Machine Learning

Master the fundamentals of matrix calculus for data science applications, including vector derivatives, optimization techniques, and practical implementations in Python for machine learning algorithms.

• Coursera
• 8 hours 55 minutes
• On-Demand
• Paid Course