CURRICULUM // CORE.102 // WEEKS_1-2
Weeks 1-2 · The Math of Everything
Linear Algebra Foundations
Units
MODULE_BREAKDOWN
UnitTopicFormatTime
1.1-1.3Vectors, addition, dot productCompute dot product, understand orthogonalityVideos + 3D visualizerWeek 1
1.4-1.5Matrices, multiplicationMultiply 2×2 and 3×3 matricesWhiteboard + live demoWeek 1
2.1-2.3Systems of linear equations, Gaussian eliminationSolve 3×3 systemLesson + solver toolWeek 2
2.4-2.5Eigenvectors, eigenvalues (intro)Compute eigenvalues for 2×2 matrixConcept video + NumPy demoWeek 2
Project: Visualize transformations
BUILD_BRIEF
Build in Python (matplotlib): rotate, scale, project 2D shapes.
Rewards
XP_AND_BADGES
XP allocation50 each unit, 100 project = 450 XP/week
Badge unlockVector Master