Approximation Courses and Certifications

Professor Leonard

Calculus 2 - Approximation of Functions by Taylor Polynomials

Explore the approximation of functions using Taylor polynomials, a powerful mathematical tool for estimating complex functions with simpler polynomial expressions.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video

计算几何 | Computational Geometry

In this introductory computer science course, explore geometry, develop geometric thinking, and learn geometric algorithms.

• edX
• 16 weeks, 6-8 hours a week
• On-Demand
• Free Online Course (Audit)

Insights into Mathematics

Measurement, Approximation and Interval Arithmetic - Real Numbers and Limits Math Foundations

Explores interval arithmetic for natural numbers and integers, covering definitions, inequalities, arithmetic operations, and applications in measurement and counting. Lays foundations for mathematical reasoning.

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

Wrath of Math

Exploring the Best Approximation of Euler's Number e

Discover how Richard Sabey created an extraordinary approximation of Euler's number e using digits 1-9, achieving accuracy to over 18 septillion digits, and learn the mathematical principles behind verifying this feat.

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

MindYourDecisions

Oxford Mathematics Admissions Test Problems - Perfect Squares and Integer Approximation

Master challenging Oxford mathematics admission problems through step-by-step solutions focused on perfect squares and integer approximations in this advanced mathematical analysis.

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

Wrath of Math

The Most Unhinged Pi Approximation: William Shanks's 707 Decimal Places Calculation

Explore the remarkable story of William Shanks, who calculated pi to 707 decimal places by hand in 1873, using Machin's formula and arctangent Taylor series—a monumental mathematical achievement.

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

Institute for Pure & Applied Mathematics (IPAM)

More is Different - Non-Scalability of Approximation in Modeling Noncovalent Interaction

3 reviews

Exploring the limitations of common approximations in modeling non-covalent interactions at the nanoscale, revealing complex scaling behaviors and the need for advanced quantum-mechanical methods.

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

Simons Institute

An Efficient Quantum Algorithm for Lattice Problems Achieving Subexponential Approximation Factor

Explore a groundbreaking quantum algorithm for lattice problems, offering subexponential approximation and exponential speedup over classical methods in polynomial time.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Simons Institute

Approximation Power

Explore deep learning's approximation capabilities, focusing on theoretical foundations and practical implications for neural network design and performance optimization.

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

Simons Institute

Deterministic Approximation of the Ising Partition Function

Explore advanced techniques for approximating the Ising partition function, focusing on deterministic methods and their applications in statistical physics and computational complexity.

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

Michael Penn

An Amazing and Mysterious Approximation for Pi

Explore a fascinating and enigmatic approximation of pi, uncovering its mathematical significance and the intriguing properties that make it remarkable.

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

Alan Turing Institute

Nonlinear Approximation by Deep ReLU Networks - Ron DeVore, Texas A&M

Explores deep ReLU networks for nonlinear approximation, covering architecture, error analysis, and manifold approximation. Bridges mathematics, statistics, and computer science in data science applications.

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

Association for Computing Machinery (ACM)

An Improved Approximation Algorithm for ATSP

Explore an advanced approximation algorithm for the Asymmetric Traveling Salesman Problem, covering linear programming relaxation, reductions, and recursive techniques to improve solution quality.

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

Simons Institute

What Are the Statistical Limits of Offline Reinforcement Learning With Function Approximation?

Explore statistical limitations in offline reinforcement learning with function approximation, covering realizability, coverage, policy evaluation, and practical considerations.

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

Simons Institute

A Slightly Improved Approximation Algorithm for Metric TSP

Explore an improved approximation algorithm for the Metric Traveling Salesman Problem, focusing on 2-uniform spanning trees and probabilistic techniques in algorithm design.

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