Vectors Courses and Certifications

Professor Leonard

Calculus 3 - An Introduction to Vectors

Introduces vector addition, subtraction, position and unit vectors, and magnitude as foundations for multivariable calculus.

• YouTube
• 2 hours 38 minutes
• Self-Paced
• Free Video

Krista King

Vector Calculus - Introduction to Vectors, Vector Functions, and Vector Fields

Master vector calculus from 3D geometry through advanced theorems including dot/cross products, line integrals, Green's theorem, and surface integrals in this comprehensive playlist.

• YouTube
• 12 hours 10 minutes
• Self-Paced
• Free Video

Introducing vectors for engineering applications

2 ratings at OpenLearn

Applied mathematics is a key skill for practicing engineers and mathematical modelling is an ever-increasing field within engineering. This free course, Introducing vectors for engineering ...

• OpenLearn
• 5 hours
• Self-Paced
• Free Certificate

Vectors

Understand vectors as a shift in space, then add and subtract them, work out magnitude and direction, and break vectors down into components.

• Brilliant
• Self-Paced
• Paid Course

Vector Calculus for Engineers

268 ratings

This course is about vector calculus, and covers material that all engineers should know.

• Coursera
• 5 weeks, 6 hours a week
• Self-Paced
• Paid Course

The Organic Chemistry Tutor

Calculus 3 - Intro to Vectors

1 rating

An introductory calculus video on representing, decomposing, and operating on vectors, with component-form, unit-vector, magnitude, angle, and resultant-force practice.

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

The Organic Chemistry Tutor

Vectors - Precalculus

A basic precalculus introduction to vectors in component form, including magnitude, direction, and finding initial and terminal points.

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

Khan Academy

Parametric Representations of Lines - Vectors and Spaces - Linear Algebra - Khan Academy

Represent lines in R² and R³ parametrically using vectors.

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

Professor Leonard

Calculus 3 - Vectors in 3-D Coordinate System

Explores position vectors in three-dimensional coordinate systems, emphasizing point relationships, magnitude, and unit vectors.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Freya Holmér

Vectors and Dot Product - Math for Game Devs Part 1

Learn to use vectors and dot products for game-development tasks such as radial triggers, look-at behavior, and space transformations.

• YouTube
• 3 hours 16 minutes
• Self-Paced
• Free Video

Eddie Woo

Introduction to Vectors

Discover vector fundamentals through ratio division, arithmetic operations, and geometric thinking with practical exam questions and worked examples.

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

Insights into Mathematics

Geometry with Vectors - Wild Linear Algebra A 2 - NJ Wildberger

Learn vector constructions, arithmetic, and affine combinations through geometric proofs of parallelogram and triangle-median theorems.

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

GreeneMath.com

Unit Vectors I and J - Dot Product - Angle Between Vectors - Orthogonal Vectors

Learn to normalize vectors, express them with unit vectors i and j, calculate dot products and angles, and identify orthogonal vectors.

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

Sean Fitzpatrick

APEX Calculus - Vectors

Learn to use vectors to describe three-dimensional geometry, including distances, spheres, planes, lines, quadric surfaces, dot products, and cross products.

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

Eddie Woo

Further Work with Vectors

Develops 3D vector methods for lines, curves, spheres, projections, and geometric proofs.

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