Installation and setup, settings for low-end PC. Unreal Engine interface: Viewport navigation and basic tools, Outliner, Details, and Content Drawer panels. Adding basic shapes and scene composition: left-handed coordinate system!, the order of Euler angles, object parenting. Basic material properties. Keyframe animation (Bézier splines), Sequencer panel.
Actors and Blueprints, events Tick and BeginPlay. Mathematical modelling in Unreal Engine, real-time ODE integration. Trajectory visualization with Niagara.
*Importing LaTeX expressions via Adobe Illustrator, Widgets, 2D and 3D rendering of text and imported formulae.
**Unreal Engine physics.
Construction scripts, blueprint variables, exposing variables to the level editor. Importing 3D meshes from Wolfram Mathematica. Lighting and sky settings, Post Process Volume, HDRI environment maps.
*Exposing variables and construction scripts to Sequencer.
Importing animation keyframes and table data from Wolfram Mathematica.
Camera settings, Movie Render Queue plugin, Pathtracer, render settings for high-quality video.
Material Blueprints and Material Instances. Shaders for mathematical modelling on GPU.
*Bridge between CPU and GPU: Material Parameter Collections, Set Vector Parameter Value and Collection Parameter nodes.
Native 3D expressions: Graphics3D[], Plot3D[], and ParametricPlot3D[]. Tube[] primitive and 3D arrows. PlotRange and SphericalRegion, RotationAction. Boxed and Mesh plot options. Materials: base color, Specularity[], Lighting, PBR materials in v13. Camera settings: ViewPoint+ViewCenter and ViewVector (absolute vs scaled coordinates), ViewVertical, ViewAngle.
Generating and exporting 3D meshes.