Mathematical Sciences & Physics pathway
Every completed trimester produces an independently verifiable 15-credit certificate. Trimesters 1–4 carry the Associate Fellow milestone at 60 credits; trimesters 5–8 carry the Bachelor Fellow milestone at 120 credits, subject to all required assessments and oral defenses.
15 credits
Analysis, monotone functions, kinematics, scientific computing, formal logic
Evidence
Numerical kinematics study + research brief
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15 credits
Linear algebra, multivariable analysis, objective functions, electromagnetism, graph logic
Evidence
Graph suite + wave simulator
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15 credits
ODEs, integration, thermodynamics and statistical kinetics, simulation
Evidence
Vector-field + thermodynamic solver
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15 credits
Numerical analysis, probability, Lagrangian and Hamiltonian mechanics
Evidence
Nonlinear project + 45-minute Viva Voce
Associate Fellow Diploma · 60 credits
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15 credits
Real and measure analysis, statistical mechanics, differential operators
Evidence
Proof repository + ensemble simulation
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15 credits
PDEs, quantum mechanics, complex analysis
Evidence
PDE solver + quantum tunnelling study
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15 credits
Convex optimization, functional analysis, stochastic systems, PLEYSMART lab
Evidence
Optimization engine + methodology brief
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15 credits
Advanced seminar, dissertation, comprehensive oral defense
Evidence
Dissertation + 60–90 minute Viva Voce
Bachelor Fellow Diploma · 120 credits
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Awards
15 credits · issued eight times, each independently verifiable
60 credits · trimesters 1–4, with a 45-minute Viva Voce
120 credits · trimesters 1–8, with a 60–90 minute defense
Applied depth recognised against approved rubrics
These awards are not accredited degrees and are not represented as transferable accredited credit.