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Quantum Engineering Year 0: Mathematical Foundations Month 3Day 60

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Year 0·Month 3·Week 1

Day 60: Applications and Modeling

Day 60 of 2,016~9 min read

Learning Objectives

•Model exponential growth and decay
•Apply radioactive decay to carbon dating
•Solve Newton's Law of Cooling problems
•Model population dynamics with logistic growth
•Find orthogonal trajectories

Today's Schedule (7 hours)

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Schedule Overview Learning Objectives Required Reading Primary Text Boyce DiPrima 11th Edition Exponential Growth and Decay 1 The Basic Model 2 Half-Life and Doubling Time GrowthDecay Examples Example 1 Population Growth Example 2 Radioactive Decay Example 3 Compound Interest Newtons Law of Cooling 3 The Model Example 4 Cooling Coffee Example 5 Time of Death Forensics Logistic Growth 4 The Model 5 Key Features Example 6 Logistic Population Mixture Problems 6 General Setup Example 7 Variable Volume Tank Orthogonal Trajectories 7 Definition 8 Method Example 8 Find Orthogonal Trajectories Summary of Models Practice Problems Level 1 Exponential Models Level 2 Newtons Cooling Level 3 Logistic Growth Level 4 Mixing Problems Level 5 Orthogonal Trajectories Answers Quantum Mechanics Connection Radioactive Decay and Quantum Tunneling State Decay Daily Checklist Preview Tomorrow

Day 59Day 60 of 2,016Day 61