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Improve cake eating lecture with new exercise and fixes #718

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Merged
merged 1 commit into from
Nov 19, 2025
Merged

Improve cake eating lecture with new exercise and fixes #718

merged 1 commit into from
Nov 19, 2025

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@jstac
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@jstac jstac commented Nov 19, 2025

Summary

This PR improves the cake eating lecture with several enhancements:

  • New exercise: Added exercise cep_ex2 asking readers to verify that the optimal policy σ* satisfies the Euler equation, including a complete step-by-step solution showing the algebraic verification
  • Grammatical fixes:
    • Fixed "the same it was" → "the same as it was"
    • Fixed "Here's some plots" → "Here are some plots" (subject-verb agreement)
    • Fixed "This is necessary condition" → "This is a necessary condition" (missing article)
  • Clarified assumptions: Added a note in Derivation II clarifying that we assume the value function is differentiable, with reference to EDTC theorem 10.1.13 for the proof
  • Improved consistency: Made the text reference to the exercises consistent with what is actually asked (line 363 now correctly points to the new cep_ex2 exercise)

Test plan

  • Verified all grammatical corrections read naturally
  • Confirmed new exercise solution is mathematically correct
  • Checked EDTC reference follows the format used elsewhere in the codebase
  • Ensured MyST syntax is correct for the new exercise and solution blocks

🤖 Generated with Claude Code

@jstac @claude
Improve cake eating lecture with exercises and fixes
2c89670 
- Add new exercise (cep_ex2) asking readers to verify that the optimal
  policy satisfies the Euler equation, with complete solution
- Fix grammatical errors: missing "as" in comparison, subject-verb
  agreement ("Here are" vs "Here's"), and missing article "a"
- Add note clarifying differentiability assumption of value function in
  Derivation II with reference to EDTC theorem 10.1.13
- Improve readability and consistency throughout the lecture

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>
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📖 Netlify Preview Ready!

Preview URL: https://pr-718--sunny-cactus-210e3e.netlify.app (2c89670)

📚 Changed Lecture Pages: cake_eating

@jstac jstac merged commit 5e6898e into main Nov 19, 2025
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@jstac jstac deleted the cake-improvements branch November 19, 2025 22:56
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@jstac