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Functions and Graphs for Artificial Intelligence

60 chapters introducing mathematical foundations, worked examples, Python calculations, applications and practice questions. Progress from foundational ideas to modeling and capstone review.

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All 60 chapters

1. Foundations and vocabulary 2. Why this matters for AI 3. Mathematical notation 4. Key definitions 5. Simple worked examples 6. Representations and models 7. Rules and properties 8. Problem solving strategies 9. Visual intuition 10. Building mathematical fluency 11. Applied quantities 12. Patterns and structures 13. Relationships and functions 14. Symbolic reasoning 15. Equations and constraints 16. Graphical interpretations 17. Numerical interpretation 18. Proof and justification 19. Approximation and estimation 20. Error and uncertainty 21. Data-driven examples 22. Vectors and arrays 23. Matrices and tables 24. Algorithms and complexity 25. Computational thinking 26. Implementation in Python 27. Validation and testing 28. Common misconceptions 29. Model inputs and outputs 30. Transformations 31. Optimization perspective 32. Loss functions and metrics 33. Sensitivity analysis 34. Sampling and experiments 35. Interpreting evidence 36. Connections to machine learning 37. Connections to neural networks 38. Connections to classification 39. Connections to regression 40. Connections to clustering 41. Probability connections 42. Statistics connections 43. Linear algebra connections 44. Calculus connections 45. Discrete math connections 46. Advanced identities 47. Efficient calculations 48. Numerical stability 49. Real-world case study 50. Worked project: planning 51. Worked project: modeling 52. Worked project: calculating 53. Worked project: interpreting 54. Worked project: verifying 55. Debugging mathematical mistakes 56. Practice problems I 57. Practice problems II 58. Review and synthesis 59. Capstone assessment 60. Next steps and resources