Vector Calculus for Engineers
Master vector calculus concepts and applications in engineering, covering vectors, coordinate systems, fields, integrals, and theorems with practical examples and electromagnetic applications.
Law of Conservation of Energy in Higher Dimensions - Fundamentals of Physics
Explore conservation of energy in higher dimensions, covering calculus concepts, work in 2D, conservative forces, and applications to gravitational potential energy.
Stewart Calculus - Vectors
Comprehensive exploration of 3D vectors, covering distance formulas, unit vectors, parallel vectors, dot products, and applications in physics and geometry.
Calculus 3
Comprehensive exploration of advanced calculus concepts, including vectors, coordinate systems, multivariable functions, multiple integrals, and parametric equations in three-dimensional space.
APEX Calculus - Vectors
Explore 3D space, vectors, dot and cross products, lines, and planes in calculus. Master geometric concepts and their applications in this comprehensive chapter.
Linear Algebra
Explore vectors, their properties, and operations in 2D and 3D space. Learn dot product, vector angles, and algebraic proofs in this comprehensive introduction to linear algebra.
Multivariable Calculus
Explore vector operations, dot products, and 3D geometry in this comprehensive introduction to multivariable calculus, covering key concepts and practical examples.
Calculus 3
Comprehensive exploration of advanced calculus concepts, including vectors, multivariable functions, multiple integrals, and vector fields, with emphasis on theoretical foundations and practical applications.
Engineering Statics - Vol 2
Master engineering statics concepts including force direction, dot product applications, free body diagrams, and 2D/3D particle equilibrium through comprehensive lessons and problem-solving exercises.
Further Work with Vectors
Explore advanced vector concepts in 3D space, including coordinate systems, dot products, vector equations, and applications to geometric shapes, enhancing your understanding of multidimensional mathematics.
Unit Vectors I and J - Dot Product - Angle Between Vectors - Orthogonal Vectors
Learn essential vector concepts: unit vectors, dot product, angles between vectors, and orthogonality. Master calculations and applications through clear explanations and practical examples.
Vectors and Dot Product - Math for Game Devs Part 1
Comprehensive exploration of vectors and dot product for game developers, covering essential concepts with practical examples and assignments to reinforce learning.
Math for Game Dev - An Improvised Live Course
Comprehensive live tutorial covering essential math concepts for game development, including vectors, trigonometry, transformations, and more, with practical applications and visual explanations.
Essential Mathematics for Aspiring Game Developers
Learn core principles for dynamic game development: vectors, angles, and motion. Understand relationships between concepts and their practical applications in game programming.
Math for Artists - Live from HQ - Inside Unreal
Explore essential math concepts for artists in VFX and game development, including vectors, transforms, and gradients, with practical examples and real-world applications.
Dot Products, Pythagoras' Theorem, and Generalizations - Wild Linear Algebra A - NJ Wildberger
Algebraic approach to metrical geometry using dot products and quadrance. Introduces symmetric bilinear forms for understanding relativistic geometry, with applications to linear algebra and physics.
Geometry with Linear Algebra - Wild Linear Algebra A - NJ Wildberger
Explore the connection between linear algebra and geometry, focusing on Pythagoras' theorem and perpendicularity. Learn how linear algebra provides a solid framework for understanding Euclidean and other geometries.
Trigonometry in Elliptic Geometry II - Universal Hyperbolic Geometry - NJ Wildberger
Explore elliptic trigonometry laws, including Spread, Cross, and Dual cross, using linear algebra. Learn proofs for Thales', Pythagoras', and Triple Quad formulas in elliptic geometry.
The Geometry of the Dihedrons and Quaternions - Famous Math Problems
Explore the geometry of Dihedrons and Quaternions, comparing their properties and connections to relativity, linear algebra, and complex numbers. Gain insights into fundamental mathematical structures.
Geometry With a General Dot Product - WildTrig: Intro to Rational Trigonometry - N J Wildberger
Exploring advanced geometry using rational trigonometry and general dot products. Extends metrical geometry beyond chromogeometry, introducing new concepts of quadrance, perpendicularity, and spread.
Spreads, Determinants and Chromogeometry - WildTrig: Intro to Rational Trigonometry
Explore spreads, dot products, and chromogeometry in linear algebra. Learn about vector operations, quadrance, perpendicularity, and the fascinating trilogy of blue, red, and green dot products.