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test_with_formulation.json
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79 lines (79 loc) · 2.26 KB
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{
"content": [
{
"subject_name": "Calculus",
"topics": [
{
"topic_name": "Differentiation",
"subtopics": [
{
"subtopic_name": "Chain Rule"
},
{
"subtopic_name": "Product Rule"
}
]
},
{
"topic_name": "Integration"
}
]
},
{
"subject_name": "Linear Algebra"
}
],
"mistakes": [
{
"source_filename": "hw1.pdf",
"source_filepath": "/homework/calc/",
"page": 1,
"location_detail": "Q2a",
"description": "Forgot chain rule on outer function.",
"problem_formulation": "Differentiate $f(x) = \\sin(x^2+1)$",
"type": "Procedural",
"details": "Calculated derivative of $\\sin(u)$ but not $u'$",
"relevant_topic": "Differentiation",
"relevant_subtopic": "Chain Rule"
},
{
"source_filename": "hw1.pdf",
"source_filepath": "/homework/calc/",
"page": 1,
"location_detail": "Q2b",
"description": "Incorrect application of product rule.",
"problem_formulation": "Differentiate $g(x) = x^2 e^x$",
"type": "Calculation",
"relevant_topic": "Differentiation",
"relevant_subtopic": "Product Rule"
}
],
"good_answers": [
{
"source_filename": "hw1.pdf",
"source_filepath": "/homework/calc/",
"page": 2,
"location_detail": "Q3",
"description": "Perfect application of chain rule and product rule together, clearly laid out.",
"problem_formulation": "Differentiate $h(x) = e^{x^2} \\cos(3x)$",
"relevant_topic": "Differentiation",
"relevant_subtopic": "Chain Rule"
},
{
"source_filename": "exam1.pdf",
"source_filepath": "/exams/calc/",
"page": 1,
"location_detail": "Q1",
"description": "Clear steps shown for basic derivative using power rule.",
"problem_formulation": "Find the derivative of $y = 5x^4 - 2x + 7$",
"relevant_topic": "Differentiation"
},
{
"source_filename": "notes_linalg.txt",
"source_filepath": "/notes/",
"location_detail": "Example 3",
"description": "Well-explained example of Gaussian elimination.",
"relevant_topic": "Linear Algebra"
}
]
}