Role-Driven Mastery System

Master the skills the job market is actually hiring for.

Follow a job-market-audited Role Path, move through a discipline end-to-end with a Career Pathway, or pursue a university-benchmarked Academic Certificate — each with a Basic → Intermediate → Advanced ladder, direct video learning bridges and a capstone proof-of-work project.

Comprehensive Certificate in Mathematics

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Open a video or resource link, watch it, then check its box to track your progress and unlock what comes next.

21 lessons3 tiers1 capstone project

University-benchmarked mathematical progression from proof and calculus through linear algebra, differential equations, analysis, algebra, probability, optimization and

University Curriculum Benchmark: MIT Mathematics | Oxford Mathematics | Cambridge Maths

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Enrichment

FOUNDATIONS / INTRODUCTION

Bridge Topics

Recommended after FOUNDATIONS / INTRODUCTION — every lesson below is still open.

INTERMEDIATE CORE

Bridge Topics

Recommended after INTERMEDIATE CORE — every lesson below is still open.

ADVANCED / SPECIALIZATION

Bridge Topics

Integrative Capstone

Produce a mathematical modeling portfolio: one proof-based analysis, one continuous model, one probabilistic/statistical model and one optimization problem. Validate numerically and explain assumptions, derivations and limitations.

Evidence Standard

Publish the project, retain the artifacts, and write a concise reflection showing understanding, application and judgment.