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.
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.
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.
Linear Algebra - Vol 2
Explore advanced linear algebra concepts including transformation matrices, determinants, cofactors, eigenvalues, and eigenvectors through comprehensive lessons and practical examples.
Engineering Statics - Vol 3
Comprehensive exploration of force moments in engineering mechanics, covering scalar and vector calculations, cross products, Varignon's theorem, and moments about specified axes.
Exponential Coordinates in Robotics - Fundamentals of Robotics
Explore exponential coordinates in robotics, covering interpretations, linear differential equations, cross products, matrix logarithms, and practical demonstrations with a two-degree-of-freedom robot wrist.
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.
Spaces and Cross Product - Math for Game Devs Part 2
Explore spaces, dot and cross products, matrices, and transformations in game development math. Includes practical assignments and solutions for radial triggers, look-at triggers, and space transformations.
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.
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.
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.
Linear Algebra Fundamentals - Vectors, Matrices, and Operations
Comprehensive introduction to linear algebra covering vectors, matrices, and their operations. Explores applications in various fields and problem-solving techniques for systems of equations.
Calculus 3 Lecture - The Cross Product
Explore vector cross products, determinants, orthogonal vectors, torque, and geometric applications. Master advanced calculus concepts with in-depth proofs and practical examples.
Vector Fields, Divergence, and Curl
Explore vector fields, divergence, and curl in mathematics. Learn about the del operator and its applications with dot and cross products to analyze vector field properties.
Linear Algebra in 2D and 3D - Inner Product, Norm of a Vector, and Cross Product
Explore fundamental concepts of linear algebra in 2D and 3D spaces, including inner product, vector norms, and cross product, essential for engineering mathematics applications.
Why Can't You Multiply Vectors? - A Mathematical Journey into Vector Multiplication
Een wiskundige reis door vectorvermenigvuldiging, complexe getallen en geometrische algebra, met toepassingen in game-ontwikkeling en nieuwe perspectieven op wiskundige constructies.
The Rotation Problem and Hamilton's Discovery of Quaternions - Part 2 - Famous Math Problems 13b
Explore 3D rotations, their composition, and algebraic representation. Learn about Euler's theorem, vector operations, and the foundations for understanding quaternions in graphics and rocket science.
Colored Spreads and Generalizations in Rational Trigonometry - Lecture 2
Explore colored spreads in planar geometries, visualizing red and green spreads using cross products and determinants. Learn about generalized dot products and Pythagoras' theorem in different geometries.
The Only Real Cross Product is Three-Dimensional
Explore the unique properties of 3D cross products, their mathematical significance, and why they don't exist in other dimensions. Gain insights into vector algebra and spatial geometry.