Sampling, aliasing, interpolation, rasterization, geometric transformations, parameterization, visibility, compositing, filtering, convolution, curves & surfaces, geometric data structures, subdivision, meshing, spatial hierarchies, ray tracing, radiometry, reflectance, light fields, geometric optics, Monte Carlo rendering, importance sampling, camera models, high-performance ray tracing, differential equations, time integration, numerical differentiation, physically-based animation, optimization, numerical linear algebra, inverse kinematics, Fourier methods.

Process scheduling and synchronization, deadlocks, memory management including virtual memory, input-output and file systems.

Ray tracing, spline curves, kinematics, motion hierarchy, dynamics.

Full-stack web development including server programming, database implementation, frontend markup, styling and interactivity.

The logical design of computers, computer architecture, the internal representation of data, instruction sets, and addressing logic, as well as pointers, structures, and other features of high-level languages that relate to assembly language.

Solution of recurrence equations, sorting algorithms, binary search trees, partitioning, graphs, spanning trees, shortest paths, connectivity, depth-first and breadth-first search, dynamic programming, and divide-and-conquer techniques.

Primitive data types and elementary programming, simple input/output, conditional execution and selection statements, mathematical functions, characters and strings, iterations, methods, arrays (1D and 2D), operations on arrays, objects and classes, object oriented thinking and design, inheritance and polymorphism, graphics and animations (using Processing), exception handling and text I/O, abstract classes and interfaces, basics of recursion.

Designing algorithms and building them into standalone computer applications.