Research Methods Courses

Hausdorff Center for Mathematics

Adaptive Wavelet Methods and Applications

Explore adaptive wavelet methods for solving complex PDEs, including tensor product approximation and reformulation techniques for optimal solutions in various domains.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

From Strong to Stronger: Phishing Resistant Authentication Methods - BRK244

Explore phishing-resistant authentication methods like FIDO2 and Windows Hello, their inner workings, deployment strategies, and benefits over traditional MFA for enhanced security and user protection.

• YouTube
• 41 minutes
• Self-Paced
• Free Video

International Mathematical Union

Algebraic-Geometrical Methods in the Theory of Integrable Systems

Explore algebraic-geometrical methods in integrable systems theory with renowned mathematician Igor Krichever, delving into advanced mathematical concepts and their applications.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

International Mathematical Union

Modern Regularization Methods in Inverse Problems and Data Science

Explores recent developments in variational methods for inverse problems and machine learning, discussing convergent regularization schemes, quantitative estimates, and connections between classical regularization theory and risk minimization.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

International Mathematical Union

Second and Higher Order Statistical Methods in Some Once Differentiable Problems

Explores advanced statistical methods for high-dimensional data analysis, including bias correction in linear regression, bootstrap techniques for distribution approximation, and functional estimation of mean vectors.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Nonlinear Reduced Basis Methods and Transport in Electronic Structure Calculation

Explore nonlinear reduced basis methods and optimal transport for efficient electronic structure calculations, focusing on a 1D toy model with potential extensions to larger systems.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Peridynamic Fracture Across Scales - Large Scale Computations With Fast Methods

Explore peridynamic modeling for fracture and damage across scales, enabling large-scale computations with fast convolution-based methods. Learn about new approaches to simulating dynamic fracture and corrosion damage.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

AI Inroads in Imaging Sciences for Materials Research - IPAM at UCLA

Explore deep learning applications in materials research, focusing on convolutional neural networks for transmission electron microscopy and tomographic imaging advancements.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Variational Methods for Computational Microscopy - IPAM at UCLA

Explore variational methods for computational microscopy with Stanley Osher, covering advanced techniques and applications in image processing and analysis.

• YouTube
• 40 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Field Theory Methods for Multiscale Description of Quantum Systems - IPAM at UCLA

Explore quantum field theory's role in multiscale phenomena, from fundamental interactions to condensed matter physics and biology. Learn about inequivalent Hilbert space representations and their applications.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Towards a Theory of Non-commutative Optimization - Geodesic First and Second Order Methods for Moment Maps and Polytopes

Explore non-commutative optimization theory for geodesically convex problems, unifying diverse applications in computer science, mathematics, and physics through innovative first and second-order methods.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Low Rank Tensor Methods in High Dimensional Data Analysis

Explore low rank tensor methods for analyzing high-dimensional data in various fields. Learn about recent progress, challenges, and applications in extracting information from multilinear arrays.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Computational Methods for Mean-Field Games

Explore computational methods for mean-field game systems, including finite-difference, convex optimization, Lagrangian, and machine-learning techniques for solving high-dimensional Hamilton-Jacobi PDEs.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

CEC;  Kanya Maha Vidyalaya

Psychological Research

Explore psychological research methods, from experiments to qualitative approaches. Gain skills in problem formulation, data collection, and ethical considerations for conducting valid and reliable studies.

• Swayam
• 12 weeks
• Self-Paced
• Free Online Course

Code With Dary

Laravel Collections & Eloquent Methods - Mastering in Laravel

Comprehensive tutorial on 44 essential Laravel collections and Eloquent methods, covering data manipulation, filtering, sorting, and more for efficient database operations and improved coding practices.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video