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Year 2
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Term 1
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A1 - Differential Equations 1
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Topics
Topics
13 items under this folder.
Jan 08, 2026
01 - ODEs and PDEs
differential-equations
differential-equations-1
Jan 08, 2026
02 - Setup for Picard's Theorem
differential-equations
differential-equations-1
Jan 08, 2026
03 - Picard's Theorem
differential-equations
differential-equations-1
lemma
Jan 08, 2026
04 - Setup for Picard's Theorem (Paired System)
differential-equations
differential-equations-1
Jan 18, 2026
05 - Phase Paths
differential-equations
differential-equations-1
corollary
Jan 18, 2026
06 - Stability
differential-equations
differential-equations-1
Jan 18, 2026
07 - Characteristics and Solution Geometry of First-Order Semi-Linear PDEs
differential-equations
differential-equations-1
Jan 18, 2026
08 - Method of Characteristics for First-Order Semi-Linear PDE
differential-equations
differential-equations-1
Jan 18, 2026
09 - Cauchy Data and Discontinuities of First Order Semi-Linear PDEs
differential-equations
differential-equations-1
Jan 08, 2026
10 - Classifying Second Order Semi-Linear PDEs
differential-equations
differential-equations-1
Jan 08, 2026
11 - Characteristics of Second Order Semi-Linear PDEs
differential-equations
differential-equations-1
Jan 08, 2026
12 - Well Posed Problems for PDEs
differential-equations
differential-equations-1
Jan 08, 2026
13 - Maximum Principle
differential-equations
differential-equations-1
corollary