Linear Algebra

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Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors (Coursera)

Dec 16th 2024
Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors (Coursera)
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This course is the second course in the Linear Algebra Specialization. In this course, we continue to develop the techniques and theory to study matrices as special linear transformations (functions) on vectors. In particular, we develop techniques to manipulate matrices algebraically. This will allow us to better analyze and [...]

Linear Algebra: Linear Systems and Matrix Equations (Coursera)

Dec 16th 2024
Linear Algebra: Linear Systems and Matrix Equations (Coursera)
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This is the first course of a three course specialization that introduces the students to the concepts of linear algebra, one of the most important and basic areas of mathematics, with many real-life applications. This foundational material provides both theory and applications for topics in mathematics, engineering and [...]

Basic Robotic Behaviors and Odometry (Coursera)

"Basic Robotic Behaviors and Odometry" provides you with an introduction to autonomous mobile robots, including forward kinematics (“odometry”), basic sensors and actuators, and simple reactive behavior. This course is centered around exercises in the realistic, physics-based simulator, “Webots”, where you will experiment in a hands-on manner with simple reactive [...]

Robotic Mapping and Trajectory Generation (Coursera)

In this second course of the Introduction to Robotics specialization, "Robotic Mapping and Trajectory Generation", you will learn how to perform basic inverse kinematics of (non-)holonomic systems using a feedback control approach. You will also learn how to process multi-dimensional sensor signals such as laser range scanners for mapping. [...]

Linear Algebra for Machine Learning and Data Science (Coursera)

Dec 16th 2024
Linear Algebra for Machine Learning and Data Science (Coursera)
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After completing this course, learners will be able to: represent data as vectors and matrices and identify their properties using concepts of singularity, rank, and linear independence, etc.; apply common vector and matrix algebra operations like dot product, inverse, and determinants; express certain types of matrix operations as linear [...]

Build Regression, Classification, and Clustering Models (Coursera)

Dec 16th 2024
Build Regression, Classification, and Clustering Models (Coursera)
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In most cases, the ultimate goal of a machine learning project is to produce a model. Models make decisions, predictions—anything that can help the business understand itself, its customers, and its environment better than a human could. Models are constructed using algorithms, and in the world of machine learning, [...]
Dec 16th 2024
Course Auditing
41.00 EUR/month

Mathematics for Machine Learning: PCA (Coursera)

This intermediate-level course introduces the mathematical foundations to derive Principal Component Analysis (PCA), a fundamental dimensionality reduction technique. We'll cover some basic statistics of data sets, such as mean values and variances, we'll compute distances and angles between vectors using inner products and derive orthogonal projections of data onto [...]

Mathematics for Machine Learning: Linear Algebra (Coursera)

In this course on Linear Algebra we look at what linear algebra is and how it relates to vectors and matrices. Then we look through what vectors and matrices are and how to work with them, including the knotty problem of eigenvalues and eigenvectors, and how to use these [...]

Advanced Linear Models for Data Science 1: Least Squares (Coursera)

Welcome to the Advanced Linear Models for Data Science Class 1: Least Squares. This class is an introduction to least squares from a linear algebraic and mathematical perspective. Before beginning the class make sure that you have the following: a basic understanding of linear algebra and multivariate calculus; a [...]

The Finite Element Method for Problems in Physics (Coursera)

This course is an introduction to the finite element method as applicable to a range of problems in physics and engineering sciences. The treatment is mathematical, but only for the purpose of clarifying the formulation. The emphasis is on coding up the formulations in a modern, open-source environment that [...]