Current

• Folland Seminar: Existing Seminar 04 — Lp spaces → Week 05 — Duality of Lp
• Linear Algebra Review: 00 — Scalars, Vectors, Matrices and Maps
• Saad: 00 — Prerequisites
• Trefethen NLA in C++: 01 — Matrix-Vector Multiplication

Study order

• Folland Seminar — weekly sequence and prerequisites
• Linear Algebra Review — 00–19
• Trefethen NLA in C++ — 01–40
• Saad Study — 00–14
• A/B/C classifications and revision guidance for existing notes

Dependency

Linear Algebra → Trefethen Numerical Linear Algebra → Sparse Linear Systems → Krylov Methods → Preconditioning → Domain Decomposition

Measure Theory / Functional Analysis → Lp spaces → Duality → PDE functional framework

Linear Algebra → PDE ↔ Numerical PDE / FEM project ↔ Sparse parallel operations

Current next actions

• Folland Week 05 — Duality of Lp: check prerequisites and prepare the presentation
• Linear Algebra 00: review from this point in order
• Trefethen Lecture 01: implement in C++ and record numerical experiments
• Saad 00: check the prerequisite checklist
• High-priority corrections to existing notes: address the listed issues