Linear Approximation Courses and Certifications

Calculus through Data & Modeling: Applying Differentiation

50 ratings at Coursera

Apply differentiation to optimize functions, estimate complex equations, and solve real-world problems in data analysis, machine learning, and business through linear approximations and multivariable calculus techniques.

• Coursera
• 7 hours 6 minutes
• On-Demand
• Free Online Course (Audit)

Calculus with Analytic Geometry I

Master calculus fundamentals: limits, derivatives, integrals. Apply concepts to real-world problems in STEM fields. Develop critical thinking and problem-solving skills for mathematical modeling.

• California Community Colleges System
• 15 weeks, 5 hours a week
• 26th Aug, 2024
• Paid Course

Multidimensional Analysis and Geometry - Introduction to the Derivative in Higher Dimensions - Lecture 1

Explore the derivative in higher dimensions, extending single-variable concepts to multidimensional functions and introducing the derivative as a linear map for best approximation.

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

Multidimensional Analysis and Geometry: Introduction to the Derivative in Higher Dimensions - Lecture 2

Explore the derivative in higher dimensions, focusing on linear approximations for functions in 3D space. Learn how classical definitions evolve to handle multivariable calculus concepts.

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

Calculus for Biological Sciences, Social Sciences and Business I

Explore calculus concepts for business, biology, and social sciences. Master limits, derivatives, and integrals. Apply mathematical models to real-world scenarios and optimize solutions.

• California Community Colleges System
• 15 weeks, 5 hours a week
• 26th Aug, 2024
• Paid Course

Zhejiang Sci-Tech University

Applications of Calculus

Explore practical applications of calculus across physics, engineering, and economics - from space travel to optimal profit calculations, with real-world examples and historical context.

• XuetangX
• On-Demand
• Free Online Course

Weights & Biases

Math4ML Exercises - Calculus

Hands-on calculus exercises for machine learning, covering little-o notation, gradients, linear approximations, and optimization techniques using Python and SymPy.

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

Jonathan Walters

Stewart Calculus - Multivariable Functions

Explore partial derivatives, linear approximation, chain rule, directional derivatives, and optimization in multivariable calculus through visualizations and practical examples.

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

TheIACR

Improving Key-Recovery in Linear Attacks - Application to 28-Round PRESENT

Explore advanced techniques for improving key recovery in linear cryptanalysis, focusing on the PRESENT block cipher and introducing novel approaches to enhance attack efficiency.

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

Partial Derivatives

Explore advanced calculus concepts including partial derivatives, chain rule, implicit differentiation, and Lagrange multipliers through engaging problems and proofs.

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

Alan Turing Institute

Approximate Cross Validation for Large Data and High Dimensions - Tamara Broderick, MIT

Explore efficient cross-validation techniques for large datasets using linear approximation and dimensionality reduction. Learn about error bounds, high-dimensional challenges, and practical applications in machine learning.

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

Alan Turing Institute

Pragmatically Ambitious Multiscale Global Temperature Reconstruction - Finn Lindgren, Edinburgh

Explore pragmatic approaches to global temperature reconstruction using multiscale models, data sources, and statistical techniques for uncertainty quantification and bias correction.

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

Society for Industrial and Applied Mathematics

Learning Robust Imaging Models without Paired Data

Explore robust imaging models using Bayesian inference and deep learning without paired data. Learn techniques for image denoising, segmentation, and unpaired degradation modeling in practical applications.

• YouTube
• 56 minutes
• On-Demand
• Conference Talk

TheIACR

Fast Correlation Attacks over Extension Fields, Large Unit Linear Approximation and Cryptanalysis

Explore fast correlation attacks, large-unit linear approximations, and cryptanalysis techniques for stream ciphers, focusing on SNOW 2.0 and extension field applications.

• YouTube
• 25 minutes
• On-Demand
• Conference Talk

Centrum Fizyki Teoretycznej PAN

Gravitational Waves: Theory and Interactions - Lecture 13

Explore gravitational waves, their linear approximation, polarizations, and interactions with matter in this graduate-level physics lecture on theoretical aspects of gravitational wave physics.

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