CURRICULUM // CORE.102 // WEEKS_3-4
Weeks 3-4 · The Math of Everything
Calculus & Change
Units
MODULE_BREAKDOWN
UnitTopicFormatTime
3.1-3.2Limits & continuityEvaluate limit, identify discontinuityAnimated videos, interactive plotsWeek 3
3.3-3.4Derivatives (rates of change)Find derivative graphically & analyticallyWhiteboard + slope-visualizerWeek 3
4.1-4.2Partial derivatives, gradientsCompute gradient of function3D visualization + live codingWeek 4
4.3-4.4Integration, area under curvesCalculate integral numericallyAnimated explanation + Python demoWeek 4
Project: Optimization problem (minimize cost)
BUILD_BRIEF
Real-world scenario: use calculus to find the optimal solution.
Rewards
XP_AND_BADGES
XP allocation50 each unit, 100 project = 450 XP/week
Badge unlockCalculus Ninja