Vectors Courses and Certifications

Coursera

Optimize and Migrate Vectors

Tune vector index parameters and compression settings to cut query latency, then script a zero-loss migration of 100,000+ vectors from Chroma to Weaviate.

• Coursera
• 2 weeks, 1 hour a week
• Self-Paced
• Paid Course

The Geometry of Space & Vector-Valued Functions

Want to learn about three-dimensional system and the operations within? Come and join us to find out.

• OpenLearning
• Self-Paced
• Paid Course

Foundations of Ray Tracing in C++

Build a simple C++ ray tracer while learning to write pixels, use vectors, cast rays, and control a virtual camera.

• CodeSignal
• 4 hours
• Self-Paced
• Free Certificate

Calculus III - Multivariable Calculus - Vectors, Curves, Partial Derivatives, Multiple Integrals, Optimization

A concept-focused introduction to multivariable calculus through vectors, spatial curves, partial derivatives, optimization, and multiple integrals.

• YouTube
• 5 hours
• Self-Paced
• Free Video

Khan Academy

Linear Subspaces - Vectors and Spaces - Linear Algebra

Introduces linear subspaces of Rⁿ within a broader study of vectors and spaces in linear algebra.

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

For the Love of Physics

Special Theory of Relativity - Minkowski Spacetime Diagrams and Four Vectors

Dive into Einstein's revolutionary theory through comprehensive lectures covering time dilation, length contraction, Lorentz transformations, spacetime diagrams, and four-vectors.

• YouTube
• 13 hours 59 minutes
• Self-Paced
• Free Video

Calculus through Data & Modeling: Precalculus Review

124 ratings at Coursera

Review precalculus for calculus: model phenomena with exponential, logarithmic, and trigonometric functions, then work with vectors and equations of lines and planes in 3D space.

• Coursera
• 5 weeks, 2 hours a week
• Self-Paced
• Paid Course

Learn to organize data with C++ vectors, access elements by index, and manipulate sequences using built-in functions.

• Codecademy
• 1 hour
• Self-Paced
• Free Trial Available

A-level Further Mathematics for Year 12 - Course 1: Complex Numbers, Matrices, Roots of Polynomial Equations and Vectors

Develop your thinking skills, fluency and confidence in A-level further maths and prepare for undergraduate STEM degrees.

• edX
• 7 weeks, 2-4 hours a week
• Self-Paced
• Free Online Course (Audit)

Stanford Seminar - Computing with High-Dimensional Vectors

High-dimensional vectors can encode whole data structures across their components, enabling a computing algebra beyond arithmetic and linear algebra.

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

Math For Video Games: The Fastest Way To Get Smarter At Math

1939 ratings at Udemy

Learn Math for Video Game Design & Coding through Solving fun Video Game Problems

• Udemy
• 13 hours 23 minutes
• Self-Paced
• Paid Course

Coursera

Measure Vector Similarity

Calculate cosine similarity, dot-product, and Euclidean distance in Python and NumPy, then benchmark how each metric changes vector ranking and retrieval precision.

• Coursera
• 2 weeks, 1 hour a week
• Self-Paced
• Paid Course

Khan Academy

Representing Vectors in RN Using Subspace Members - Linear Algebra - Khan Academy

Learn to represent any vector in Rⁿ uniquely as the sum of a vector in a subspace and one in its orthogonal complement.

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

Steve Brunton

Gentle Introduction to Modeling with Matrices and Vectors - A Probabilistic Weather Model

Model a toy weather system as a probabilistic state vector updated by a transition matrix, with implementations in Python and MATLAB.

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

Mathemaniac

Exponentiating Vectors, Derivatives, and Vector Fields - Mathematical Concepts Explained

Explore the concept of exponentiation applied to vectors, derivatives, and vector fields, uncovering connections between seemingly different mathematical ideas and their practical applications.

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