Asymptotic Analysis Courses and Certifications

Hausdorff Center for Mathematics

Asymptotic and Null Controllability of an Advection-Diffusion Equation

Explore asymptotic analysis and null controllability of advection-diffusion equations, focusing on boundary and internal layer interactions as diffusion parameter approaches zero.

• YouTube
• 50 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

Lectures on Standard and Less Standard Asymptotic Methods - Lecture 1

Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns. Learn techniques from standard to unconventional, with practical examples and high-precision computations.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Online Course

Algorithmic Thinking (Part 1)

15 reviews

Explore algorithmic efficiency and graph theory, implementing key algorithms in Python to analyze real-world data sets. Develop problem-solving skills beyond specific programming languages.

• Coursera
• 12 hours
• On-Demand
• Free Online Course (Audit)

Data Structures & Algorithms III: AVL and 2-4 Trees, Divide and Conquer Algorithms

5 reviews

Explore advanced data structures like AVL and 2-4 trees, and dive into sorting algorithms including iterative and divide-and-conquer methods. Gain practical skills in implementing and analyzing efficient algorithms.

• edX
• 5 weeks, 9-10 hours a week
• On-Demand
• Free Online Course (Audit)

Analytic Combinatorics

65 ratings at Coursera

Explore precise quantitative predictions of large combinatorial structures through symbolic methods, generating functions, and complex analysis for deriving accurate asymptotics.

• Coursera
• 17 hours
• On-Demand
• Free Online Course (Audit)

Capstone: Analyzing (Social) Network Data

99 ratings at Coursera

Analyze social networks to uncover influential members, sub-communities, and connections. Apply graph algorithms and data structures to explore real-world network data and showcase findings through a video presentation.

• Coursera
• 17 hours 49 minutes
• On-Demand
• Free Online Course (Audit)

NPTEL;  IIT Kharagpur

Introduction to Algorithms and Analysis

1 review

Comprehensive exploration of algorithmic concepts, from sorting and analysis to advanced data structures and graph algorithms, emphasizing practical implementation and theoretical foundations.

• YouTube
• 1 day 5 hours
• On-Demand
• Free Online Course

Ryan O'Donnell

Big O and Friends - Lecture 2a of CS Theory Toolkit

Explore asymptotic notation in theoretical computer science, covering Big O, Omega, and related concepts. Essential for understanding algorithm efficiency and complexity analysis.

• YouTube
• 28 minutes
• On-Demand
• Free Online Course

Alan Turing Institute

Solving Private Set Intersection via Cuckoo Hashing - Benny Pinkas, Bar-Ilan University, Israel

Explore private set intersection protocols, including custom and generic MPC approaches, with a focus on Cuckoo hashing for efficient computation of PSI variants in cryptography and security.

• YouTube
• 1 hour
• On-Demand
• Free Online Course

Simple Snippets

What Is Big O Notation and Time Complexity of Algorithms - Algorithm Analysis in Data Structures

Comprehensive tutorial on Big O notation, time complexity, and algorithm analysis in data structures. Covers key concepts, practical examples, and calculation methods.

• YouTube
• 39 minutes
• On-Demand
• Free Online Course

International Mathematical Union

Hydrodynamic Stability at High Reynolds Number and Transition Threshold Problem

Explores hydrodynamic stability theory, focusing on laminar flow instability and turbulence transition at high Reynolds numbers. Discusses key physical effects and recent progress in linear inviscid damping and enhanced dissipation for shear flows.

• YouTube
• 46 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

From Newton to Boltzmann - Fluctuations and Large Deviations in Hard Sphere Gas Dynamics

Explore macroscopic fluctuations in hard sphere gases, including deviations from the Boltzmann equation, central limit theorem, and large deviation bounds in the Boltzmann-Grad limit.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Normalization Effects on Neural Networks: Generalization and High-Dimensional Applications - SIAM FME Talk

Exploring neural network performance, normalization effects, and high-dimensional PDE solving using deep learning. Insights on generalization properties and applications in mathematical finance.

• YouTube
• 57 minutes
• On-Demand
• Free Online Course

Paul G. Allen School

A Generalized Central Limit Conjecture for Convex Bodies

Explore a generalized central limit theorem for convex bodies, its connection to the KLS conjecture, and implications for asymptotic convex geometry in this advanced mathematics lecture.

• YouTube
• 46 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

The Asymptotics of Betti Numbers in Preferential Attachment Clique Complexes

Explore the higher-order connectivity of preferential attachment networks through Betti numbers, examining growth rates and asymptotic behavior in this advanced mathematical analysis.

• YouTube
• 46 minutes
• On-Demand
• Free Online Course